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{{Short description|Theoretical satellite collision cascade}}
[[File:Debris-GEO1280.jpg|thumb|Space debris populations seen from outside [[geosynchronous orbit]] (GEO). There are two primary debris fields: the ring of objects in GEO and the cloud of objects in [[low earth orbit]] (LEO).]]
[[File:Debris-GEO1280.jpg|thumb|Space debris populations seen from outside [[geosynchronous orbit]] (GSO). There are two primary debris fields: the ring of objects in GSO and the cloud of objects in [[low Earth orbit]] (LEO).]]


The '''Kessler syndrome''' (also called the '''Kessler effect''',<ref>{{cite web |url=http://articles.cnn.com/2002-05-03/tech/orbit.debris_1_low-earth-orbits-space-junk-international-space-station?_s=PM:TECH |title=Scientist: Space weapons pose debris threat CNN |website=Articles.CNN.com |date=2002-05-03 |accessdate=2011-03-17 |deadurl=yes |archiveurl=https://web.archive.org/web/20120930100948/http://articles.cnn.com/2002-05-03/tech/orbit.debris_1_low-earth-orbits-space-junk-international-space-station?_s=PM:TECH |archivedate=2012-09-30 |df= }}</ref><ref>{{cite web|url=https://www.theatlantic.com/past/docs/issues/98jul/junk.htm |title=The Danger of Space Junk – 98.07 |website=TheAtlantic.com |accessdate=2011-03-17}}</ref> '''collisional cascading''' or '''ablation cascade'''), proposed by the [[NASA]] scientist [[Donald J. Kessler]] in 1978, is a scenario in which the density of objects in [[low earth orbit]] (LEO) is high enough that collisions between objects could cause a cascade where each collision generates [[space debris]] that increases the likelihood of further collisions.<ref name="kessler">{{cite journal | author=Donald J. Kessler and Burton G. Cour-Palais | title=Collision Frequency of Artificial Satellites: The Creation of a Debris Belt | journal=Journal of Geophysical Research | year=1978 | volume=83 | pages=2637–2646 | doi=10.1029/JA083iA06p02637|bibcode = 1978JGR....83.2637K }}</ref> One implication is that the distribution of debris in orbit could render space activities and the use of [[satellite]]s in specific orbital ranges infeasible for many generations.<ref name="kessler"/>
The '''Kessler syndrome''' (also called the '''Kessler effect''',<ref name="aaRtY">{{cite web |url=http://articles.cnn.com/2002-05-03/tech/orbit.debris_1_low-earth-orbits-space-junk-international-space-station |title=Scientist: Space weapons pose debris threat| first= Richard |last= Stenger |website= [[CNN]].com |date=2002-05-03 |access-date= 2011-03-17 |url-status=dead |archive-url= https://web.archive.org/web/20120930100948/http://articles.cnn.com/2002-05-03/tech/orbit.debris_1_low-earth-orbits-space-junk-international-space-station |archive-date=2012-09-30}}</ref><ref name="h8L67">{{cite web|url=https://www.theatlantic.com/past/docs/issues/98jul/junk.htm |title=The Danger of Space Junk – 98.07 |work= [[The Atlantic]]| first= Steve| last= Olson| date= July 1998| via=TheAtlantic.com |access-date=2020-06-18}}</ref> '''collisional cascading''', or '''ablation cascade'''), proposed by [[NASA]] scientists [[Donald J. Kessler]] and Burton G. Cour-Palais in 1978, is a scenario in which the density of objects in [[low Earth orbit]] (LEO) due to [[space pollution]] is numerous enough that collisions between objects could cause a cascade in which each collision generates [[space debris]] that increases the likelihood of further collisions.<ref name=Kessler78>{{cite journal | first1= Donald J.| last1= Kessler |first2= Burton G.| last2= Cour-Palais | title=Collision Frequency of Artificial Satellites: The Creation of a Debris Belt |url=http://webpages.charter.net/dkessler/files/Collision%20Frequency.pdf|journal=Journal of Geophysical Research | year=1978 | volume=83 | issue= A6 | pages=2637–2646 | doi=10.1029/JA083iA06p02637|bibcode = 1978JGR....83.2637K| archive-url= https://web.archive.org/web/20110515132446/http://webpages.charter.net/dkessler/files/Collision%20Frequency.pdf | archive-date= 2011-05-15 }}</ref> In 2009, Kessler wrote that modeling results had concluded that the debris environment was already unstable, "such that any attempt to achieve a growth-free small debris environment by eliminating sources of past debris will likely fail because fragments from future collisions will be generated faster than atmospheric drag will remove them".<ref name=k09/> One implication is that the distribution of debris in orbit could render space activities and the use of [[satellite]]s in specific orbital ranges difficult for many generations.<ref name=Kessler78/>


== History ==
==Debris generation and destruction ==
=== NORAD, Gabbard and Kessler ===
Every satellite, [[space probe]], and [[manned mission]] has the potential to produce space debris. A cascading Kessler syndrome becomes more likely as satellites in orbit increase in number. As of 2014, there were about 2,000 commercial and government satellites orbiting the earth.<ref name="Lockheed Martin 2014">{{cite news |url=https://www.bbc.com/news/business-28948367 |title=Lockheed Martin in space junk deal with Australian firm |work=BBC News |date=28 August 2014 |accessdate=2014-08-28 }}</ref> It is estimated that there are 600,000 pieces of space junk ranging from 1&nbsp;cm to 10&nbsp;cm, and on average one satellite is destroyed each year.<ref name="Lockheed Martin 2014"/><ref name="IFLS">{{cite web |archiveurl=https://web.archive.org/web/20160516084751/http://www.iflscience.com/space/space-debris-has-chipped-one-isss-windows |url=http://www.iflscience.com/space/space-debris-has-chipped-one-isss-windows |work=[[I Fucking Love Science]] |deadurl=no |title=Space Debris Has Chipped One Of The ISS's Windows |accessdate=2016-05-16 |archivedate=2016-05-16 |date=2016-05-15 |first=Alfredo |last=Carpineti}}</ref>
[[File: Gabbard diagram.png|thumb|upright=1.6|alt=Debris graph of altitude and orbital period|Gabbard diagram of almost 300 pieces of debris from the disintegration of the five-month-old third stage of the Chinese Long March 4 booster on 11 March 2000]]


[[Willy Ley]] predicted in 1960 that "In time, a number of such accidentally too-lucky shots will accumulate in space and will have to be removed when the era of manned space flight arrives".<ref name="ley196008">{{Cite magazine |last=Ley |first=Willy |date=August 1960 |title=How to Slay Dragons |url= https://archive.org/stream/Galaxy_v18n06_1960-08#page/n55/mode/2up |magazine=Galaxy Science Fiction |pages=57–72 |department=For Your Information}}</ref> After the launch of [[Sputnik 1]] in 1957, the [[North American Aerospace Defense Command]] (NORAD) began compiling a database (the [[Space Object Catalog]]) of all known rocket launches and objects reaching orbit: satellites, protective shields and upper- and lower-stage booster rockets. [[NASA]] later published{{when|date=December 2019}} modified versions of the database in [[two-line element set]],{{sfn|Hoots|Schumacher|Glover|2004}} and during the early 1980s the CelesTrak [[bulletin board system]] re-published them.<ref name="iPFc8">{{cite web| first= T. S.| last= Kelso| url= http://celestrak.com/NORAD/archives/ |work= CelesTrak BBS| title= Historical Archives| archive-url= https://archive.today/20120717073936/http://celestrak.com/NORAD/archives/ |archive-date=17 July 2012}}, 2-line elements dating to 1980.</ref>
The most commonly used orbits for both manned and unmanned space vehicles are [[low earth orbit]]s, which cover an altitude range low enough for residual [[air drag]] to be sufficient to help keep the zone clear. Collisions that occur in this altitude range are also less of an issue because the directions into which the fragments fly and/or their lower [[specific energy]] often result in orbits intersecting with earth or having [[apsis|perigee]] below this altitude.


The trackers who fed the database were aware of other objects in orbit, many of which were the result of in-orbit explosions.{{sfn|Schefter|1982|p=48}} Some were deliberately caused during the 1960s [[anti-satellite weapon]] (ASAT) testing, and others were the result of rocket stages blowing up in orbit as leftover propellant expanded and ruptured their tanks. To improve tracking, NORAD employee John Gabbard kept a separate database. Studying the explosions, Gabbard developed a technique for predicting the orbital paths of their products, and Gabbard diagrams (or plots) are now widely used. These studies were used to improve the modeling of orbital evolution and decay.<ref name="portree">{{cite web| first1= David |last1= Portree |first2= Joseph |last2= Loftus| url= http://ston.jsc.nasa.gov/collections/TRS/_techrep/TP-1999-208856.pdf |title= Orbital Debris: A Chronology| archive-url= https://web.archive.org/web/20000901071135/http://ston.jsc.nasa.gov/collections/TRS/_techrep/TP-1999-208856.pdf |archive-date=1 September 2000 | publisher= NASA| year= 1999| url-status= dead | page= 13}}</ref>
[[Orbital decay]] is much slower at altitudes where atmospheric drag is insignificant. Slight [[atmospheric drag]], lunar [[Perturbation (astronomy)|perturbation]], and [[solar wind]] drag can gradually bring debris down to lower altitudes where fragments finally reenter, but this process can take millennia at very high altitudes.

When the NORAD database became publicly available during the 1970s, NASA scientist Donald J. Kessler applied the technique developed for the asteroid-belt study to the database of known objects. In June 1978, Kessler and Burton Cour-Palais co-authored "Collision Frequency of Artificial Satellites: The Creation of a Debris Belt",<ref name=Kessler78/> demonstrating that the process controlling asteroid evolution would cause a similar collision process in LEO in decades rather than billions of years. They concluded that by about 2000, space debris would outpace micrometeoroids as the primary ablative risk to orbiting spacecraft.<ref name="k09">{{cite web |url=http://webpages.charter.net/dkessler/files/KesSym.html |title=The Kessler Syndrome |date=8 March 2009 |first= Donald J.| last= Kessler|archive-url=https://web.archive.org/web/20100527195029/http://webpages.charter.net/dkessler/files/KesSym.html |archive-date=27 May 2010 |url-status=dead |df=dmy-all}}</ref>

At the time, it was widely thought that drag from the [[Atmosphere of Earth|upper atmosphere]] would de-orbit debris faster than it was created.{{citation needed|date=December 2019}} However, Gabbard was aware that the number and type of objects in space were under-represented in the NORAD data and was familiar with their behavior. In an interview shortly after the publication of the 1978 paper, Gabbard coined the term ''Kessler syndrome'' to refer to the accumulation of debris;<ref name="k09" /> it became widely used after its appearance in a 1982 ''[[Popular Science]]'' article,{{sfn|Schefter|1982}} which won the Aviation-Space Writers Association 1982 National Journalism Award.<ref name="k09" />

=== Follow-up studies ===
[[File:Baker-Nunn camera.jpg|left|thumb|upright|alt=Large camera, with a man standing next to it for scale|[[Schmidt camera#Baker–Nunn|Baker–Nunn cameras]] were widely used to study space debris.]]

The lack of hard data about space debris prompted a series of studies to better characterize the LEO environment. In October 1979, [[NASA]] provided Kessler with funding for further studies.<ref name="k09" /> Several approaches were used by these studies.

Optical telescopes and short-wavelength radar were used to measure the number and size of space objects, and these measurements demonstrated that the published population count was at least 50% too low.{{sfn|Kessler|1991|p=65}} Before this, it was believed that the NORAD database accounted for the majority of large objects in orbit. Some objects (typically, US military spacecraft) were found to be omitted from the NORAD list, and others were not included because they were considered unimportant. The list could not easily account for objects under {{convert|20|cm|in|0|abbr=on}} in size—in particular, debris from exploding rocket stages and several 1960s anti-satellite tests.<ref name="k09" />

Returned spacecraft were microscopically examined for small impacts, and sections of [[Skylab]] and the [[Apollo Command/Service Module]] which were recovered were found to be pitted. Each study indicated that the debris flux was higher than expected and debris was the primary source of micrometeoroids and orbital debris collisions in space. LEO already demonstrated the Kessler syndrome.<ref name="k09" />

In 1978, Kessler found that 42 percent of cataloged debris was the result of 19 events, primarily explosions of spent rocket stages (especially US [[Delta (rocket family)|Delta rockets]]).{{sfn|Kessler|1981}} He discovered this by first identifying those launches that were described as having a large number of objects associated with a payload, then researching the literature to determine the rockets used in the launch. In 1979, this finding resulted in establishment of the NASA Orbital Debris Program after a briefing to NASA senior management, overturning the previously held belief that most unknown debris was from old ASAT tests, not from US upper stage rocket explosions that could seemingly be easily managed by depleting the unused fuel from the upper stage Delta rocket following the payload injection. Beginning in 1986, when it was discovered that other international agencies were possibly experiencing the same type of problem, NASA expanded its program to include international agencies, the first being the European Space Agency.<ref name="klinkrad2006">{{cite book |first= Heiner |last= Klinkrad |url= http://www.praxis-publishing.co.uk/9783540254485.htm |title= Space Debris: Models and Risk Analysis |publisher= Springer-Praxis |year= 2006 |isbn= 3-540-25448-X |access-date= 2019-12-21 |archive-date= 2011-05-12 |archive-url= https://web.archive.org/web/20110512174448/http://www.praxis-publishing.co.uk/9783540254485.htm |url-status= dead }}</ref>{{rp|2}} A number of other Delta components in orbit (Delta was a workhorse of the US space program) had not yet exploded.{{Citation needed|date=July 2011}}

{{anchor|A new Kessler Syndrome}}
=== A new Kessler syndrome ===
During the 1980s, the [[United States Air Force]] (USAF) conducted an experimental program to determine what would happen if debris collided with satellites or other debris. The study demonstrated that the process differed from micrometeoroid collisions, with large chunks of debris created which would become collision threats.<ref name="k09" />

In 1991, Kessler published "Collisional cascading: The limits of population growth in low Earth orbit"{{sfn|Kessler|1991}} with the best data then available. Citing the USAF conclusions about creation of debris, he wrote that although almost all debris objects (such as paint flecks) were lightweight, most of its mass was in debris about {{convert|1|kg|lboz|abbr=on}} or heavier. This mass could destroy a spacecraft on impact, creating more debris in the critical-mass area.{{sfn|Kessler|1991|p=63}} According to the National Academy of Sciences:

<blockquote>A 1&nbsp;kg object impacting at 10&nbsp;km/s, for example, is probably capable of catastrophically breaking up a 1,000&nbsp;kg spacecraft if it strikes a high-density element in the spacecraft. In such a breakup, numerous fragments larger than 1&nbsp;kg would be created.{{sfn|Gleghorn|1995|p=4}}</blockquote>

Kessler's analysis divided the problem into three parts. With a low-enough density, the addition of debris by impacts is slower than their decay rate and the problem is not significant. Beyond that is a critical density, where additional debris leads to additional collisions. At densities beyond this critical mass production exceeds decay, leading to a cascading [[chain reaction]] reducing the orbiting population to small objects (several centimeters in size) and increasing the hazard of space activity.{{sfn|Kessler|1991|p=63}} This chain reaction is known as the Kessler syndrome.<ref name="k09" />

In an early 2009 historical overview, Kessler summed up the situation:

<blockquote>Aggressive space activities without adequate safeguards could significantly shorten the time between collisions and produce an intolerable hazard to future spacecraft. Some of the most environmentally dangerous activities in space include large constellations such as those initially proposed by the Strategic Defense Initiative in the mid-1980s, large structures such as those considered in the late-1970s for building solar power stations in Earth orbit, and anti-satellite warfare using systems tested by the USSR, the US, and China over the past 30 years. Such aggressive activities could set up a situation where a single satellite failure could lead to cascading failures of many satellites in a period much shorter than years.<ref name="k09" /></blockquote>

===Anti-satellite missile tests===
{{Main|Anti-satellite weapon}}

In 1985, the first anti-satellite (ASAT) missile was used in the destruction of a satellite. The American [[ASM-135 ASAT#1985 test|1985 ASM-135 ASAT test]] was carried out, in which the Solwind P78-1 satellite flying at an altitude of {{convert|555|km}} was struck by the {{convert|14|kg|adj=on}} payload at a velocity of 24,000 kilometres per hour (15,000&nbsp;mph; 6.7&nbsp;km/s). When NASA learned of U.S. Air Force plans for the Solwind ASAT test, they modeled the effects of the test and determined that debris produced by the collision would still be in orbit late into the 1990s. It would force NASA to enhance debris shielding for its planned space station.<ref>NASA TP-1999-208856. David S. F. Portree and Joseph P. Loftus Jr. "Orbital Debries: A Chronology".</ref>

On 11 January 2007, China conducted an anti-satellite missile test in which one of their [[FY-1C]] weather satellites was chosen as the target. The collision occurred at an altitude of {{convert|865|km}}, when the satellite with a mass of {{convert|750|kg}} was struck in a head-on-collision by a kinetic payload traveling with a speed of 8&nbsp;km/s (18,000&nbsp;mph) in the opposite direction. The resulting debris orbits the [[Earth]] with a mean altitude above {{convert|850|km}}, and will likely remain in orbit for decades or centuries.<ref>History of On-Orbit Satellite Fragmentations, 14th Edition, published by NASA Orbital Debris Program Office, pp. 26, 386. May 2008. http://orbitaldebris.jsc.nasa.gov/library/SatelliteFragHistory/TM-2008-214779.pdf.</ref>

The destruction of the [[Kosmos 1408]] satellite by a Russian ASAT missile on November 15, 2021, has created a large debris cloud, with 1500 pieces of debris being tracked and an estimated hundreds of thousands of pieces too small to track. Since the satellite was in a [[polar orbit]], and its debris has spread out between the altitudes of {{convert|300|and|1000|km}}, it could potentially collide with any LEO satellite, including the [[International Space Station]] and the [[Chinese Space Station]] (Tiangong).<ref>{{cite web|url=https://www.bbc.co.uk/news/science-environment-59307862|title=Russian anti-satellite test adds to worsening problem of space debris|publisher=bbc.co.uk|date=16 November 2021|access-date=19 November 2021}}</ref><ref>{{cite web|url=https://www.theverge.com/2021/11/15/22782946/russia-asat-test-satellite-international-space-station-debris|title=Russia blows up a satellite, creating a dangerous debris cloud in space|publisher=theverge.com|date=15 November 2021|access-date=19 November 2021}}</ref><ref>{{cite web|url=https://arstechnica.com/science/2021/11/new-images-and-analyses-reveal-extent-of-cosmos-1408-debris-cloud/|title=New images and analyses reveal extent of Cosmos 1408 debris cloud|publisher=arstechnica.com|date=17 November 2021|access-date=19 November 2021}}</ref>

===Chinese rocket explosion===
A significant event related to the Kessler Syndrome occurred on August 9, 2024, when a Chinese [[Long March 6A]] rocket broke apart in low-Earth orbit, creating a cloud of hundreds of debris fragments. The US Space Command confirmed this breakup, and it has been tracked by multiple space debris-tracking organizations. The event resulted in at least 700 fragments, with the potential for more than 900. The debris poses a substantial risk to low-Earth orbit constellations, particularly those orbiting below 800 kilometers, and may remain in orbit for years, increasing the likelihood of collisions. This incident highlights ongoing concerns about space debris and the increasing risk of a cascading effect as more objects are launched into orbit. <ref name="CNN 2024">{{cite news |url=https://edition.cnn.com/2024/08/09/science/china-rocket-stage-orbital-debris/index.html |title=Chinese rocket breaks apart in low-Earth orbit, creating a cloud of space debris, US Space Command says |publisher=CNN |date=9 August 2024 |access-date=9 August 2024}}</ref>

== Debris generation and destruction ==
{{Main|Space debris}}

Every satellite, [[space probe]], and [[crewed mission]] has the potential to produce [[space debris]]. The theoretical cascading Kessler syndrome becomes more likely as satellites in orbit increase in number. As of 2014, there were about 2,000 commercial and government satellites orbiting the Earth,<ref name="Lockheed Martin 2014">{{cite news |url=https://www.bbc.com/news/business-28948367 |title=Lockheed Martin in space junk deal with Australian firm | publisher= BBC News |date=28 August 2014 |access-date= 2014-08-28}}</ref> and {{as of|2021|lc=y}} more than 4000.<ref name="Andrews">{{cite journal |last1=Andrews |first=Robin George |date=Oct 30, 2021 |title=Satellites and junk are littering space and ruining our night skies |url=https://www.newscientist.com/article/mg25133581-700-satellites-and-junk-are-littering-space-and-ruining-our-night-skies/ |journal=New Scientist}}</ref> It is estimated that there are 600,000 pieces of space junk ranging from {{convert|1|to|10|cm|in|frac=2|abbr=on}}, and 23,000 larger than that.<ref name=Andrews/> On average, every year, one satellite is destroyed by collision with other satellites or space junk.<ref name="Lockheed Martin 2014" /><ref name="IFLS">{{cite web |archive-url=https://web.archive.org/web/20160516084751/http://www.iflscience.com/space/space-debris-has-chipped-one-isss-windows |url=http://www.iflscience.com/space/space-debris-has-chipped-one-isss-windows |work=[[I Fucking Love Science]] |url-status=live |title=Space Debris Has Chipped One Of The ISS's Windows |access-date=2016-05-16 |archive-date=2016-05-16 |date=2016-05-15 |first=Alfredo |last=Carpineti}}</ref> {{As of|2009}}, there had been four collisions between catalogued objects, including [[2009 satellite collision|a collision between two satellites in 2009]].<ref name=k09/>

[[Orbital decay]] is much slower at altitudes where atmospheric drag is insignificant. Slight [[atmospheric drag]], lunar [[Perturbation (astronomy)|perturbation]], and [[solar wind]] drag can gradually bring debris down to lower altitudes where fragments finally re-enter, but this process can take millennia at very high altitudes.<ref>{{Cite web |title=Space Debris – A Guide |url=https://www.spaceacademy.net.au/watch/debris/gsd/gsd.htm |access-date=2022-12-04 |website=www.spaceacademy.net.au}}</ref>


==Implications==
==Implications==
[[File:Space Debris Low Earth Orbit.png|thumb|Image made from models used to track debris in earth orbit]]
[[File:Space Debris Low Earth Orbit.png|thumb|Image made from models used to track debris in Earth orbit as of July 2009]]


The Kessler syndrome is troublesome because of the [[Cascading failure|domino effect]] and [[Positive feedback|feedback runaway]] wherein impacts between objects of sizable mass [[spall|spall off]] debris from the force of collision. The shrapnel can then hit other objects, producing even more space debris: if a large enough collision or explosion were to occur, such as between a space station and a defunct satellite, or as the result of hostile actions in space, then the resulting debris cascade could make prospects for long-term viability of satellites in low earth orbit extremely low.<ref>{{cite web| url = http://physics.ucsc.edu/cosmo/Mountbat.PDF| title = Debris and Future Space Activities| accessdate =| author =| last = Primack| first = Joel R.| authorlink =| year = 2002| format = PDF| work =| publisher = Physics Department, University of California| location =| pages =| language =| doi =| dateformat =| quote = With enough orbiting debris, pieces will begin to hit other pieces, setting off a chain reaction of destruction that will leave a lethal halo around the Earth.}}</ref><ref>{{cite web
The Kessler syndrome is troublesome because of the [[Cascading failure|domino effect]] and [[Positive feedback|feedback runaway]] wherein impacts between objects of sizable mass [[spall]] off debris from the force of the collision. The fragments can then hit other objects, producing even more space debris: if a large enough collision or explosion were to occur, such as between a space station and a defunct satellite, or as the result of hostile actions in space, then the resulting debris cascade could make prospects for long-term viability of satellites in particular low Earth orbits extremely low.<ref name="primack2002">{{cite web |url= http://physics.ucsc.edu/cosmo/Mountbat.PDF |title=Debris and Future Space Activities |last=Primack| first= Joel R. |year=2002|website= physics.ucsc.edu| publisher= Physics Department, [[University of California, Santa Cruz]] |quote= With enough orbiting debris, pieces will begin to hit other pieces, setting off a chain reaction of destruction that will leave a lethal halo around the Earth.}}</ref><ref name="primack-DateUnknown">{{cite web | url = http://physics.ucsc.edu/cosmo/UNESCOr.pdf| title = Star Wars Forever? – A Cosmic Perspective| website= physics.ucsc.edu| last1 = Primack| first1 = Joel R. | first2= Nancy Ellen |last2= Abrams | publisher = Physics Department, University of California, Santa Cruz| doi =<!-- unknown if this was ever published in an academic journal; appears to be a draft working paper -->| quote = the deliberate injection into LEO of large numbers of particles as a cheap but effective anti-satellite measure.}}</ref> However, even a catastrophic Kessler scenario at LEO would pose minimal risk for launches continuing past LEO, or satellites travelling at [[medium Earth orbit]] (MEO) or [[geosynchronous orbit]] (GEO). The catastrophic scenarios predict an increase in the number of collisions per year, as opposed to a physically impassable barrier to space exploration that occurs in higher orbits.{{Citation needed|date=April 2019}}

| url = http://physics.ucsc.edu/cosmo/UNESCOr.pdf| title = Star Wars Forever? – A Cosmic Perspective| accessdate =| author = Joel R. Primack| last =
===As a solution to the Fermi paradox===
| first =| authorlink =|author2=Nancy Ellen Abrams | format =| work =| publisher =| location =| pages =| language =| doi =| dateformat =| quote = the deliberate injection into LEO of large numbers of particles as a cheap but effective anti-satellite measure.
Some astronomers have hypothesized Kessler syndrome as a possible or likely solution to the [[Fermi paradox]], the lack of any sign of alien life in the universe. Any intelligent civilization which becomes spacefaring could eventually extinguish any safe orbits via Kessler syndrome, trapping itself within its home planet.<ref>{{harvnb|Forgan|2019|p=227}}: "If it cannot perform pollution-free spacecraft launches (or fully clean up its pollution), then it will eventually succumb to Kessler syndrome, with potentially drastic consequences for future space use, with likely civilisation-ending effects."</ref> Such a result could happen even with robust space pollution controls, as a lone malicious actor on a planet could cause a Kessler syndrome scenario.<ref>{{harvnb|Stevens|Forgan|O'Malley-James|2016|p=340}}: "If a civilization has failed, then the ability of large space-based structures to avoid debris strikes and meteoroid hits will be diminished, and a Kessler syndrome scenario could be achieved with a lower density of objects. Even if a civilization does not fail, malicious activity could result in devastation of the low orbit environment, which in itself could precipitate collapse."</ref> Humanity could be on the path to a similar fate, soon to trap itself on Earth with no future as a spacefaring civilization.<ref>{{harvnb|Hamilton|2022|p=43}}: "The effects of Kessler Syndrome will dramatically raise the length of time humanity remains a one-planet civilization. Besides any potential risks posed by a loss of crucial space technologies, a land-locked humanity would be vulnerable to numerous other existential risks, including the eventual exhaustion of Earth's resources."</ref> Some [[exoplanet]] researchers have attempted to survey other planets for signs of a Kessler syndrome cascade as a sign of intelligent life.<ref>{{harvnb|Lehman|2023|p=3}}: "Space debris is considered such a threat to the advancement of humanity that some researchers are considering using Kessler rings of debris around planets as a potential signature of extraterrestrial life that has wiped itself out."</ref>
}}</ref> However, even a catastrophic Kessler scenario at LEO would pose minimal risk for launches continuing past LEO, or satellites traveling at [[medium Earth orbit]] (MEO) or [[geosynchronous orbit]] (GEO). The catastrophic scenarios predict an increase in the number of collisions per year, as opposed to a physically impassable barrier to space exploration that occurs in higher orbits.


==Avoidance and reduction==
==Avoidance and reduction==
Designers of a new vehicle or satellite are frequently required to demonstrate that it can be safely disposed of at the end of its life, for example by use of a controlled [[atmospheric reentry]] system or a boost into a [[graveyard orbit]].<ref>{{cite web | url=http://www.space.com/spacenews/businessmonday_040628.html | title=FCC Enters Orbital Debris Debate |archiveurl = https://web.archive.org/web/20080506022635/http://www.space.com/spacenews/businessmonday_040628.html |archivedate = 2008-05-06}}</ref>
Designers of a new vehicle or satellite are frequently required by the [[International Telecommunication Union|ITU]]<ref name="7ajRc">{{cite web | url=http://www.unoosa.org/documents/pdf/spacelaw/sd/R-REC-S1003-2-201012-IPDF-E.pdf | title=Recommendation ITU-R S.1003-2}}</ref> to demonstrate that it can be safely disposed of at the end of its life, for example by use of a controlled [[atmospheric reentry]] system or a boost into a [[graveyard orbit]].<ref name="debate">{{cite web | url= http://www.space.com/spacenews/businessmonday_040628.html | title=FCC Enters Orbital Debris Debate | website=[[Space.com]] |archive-url = https://web.archive.org/web/20080506022635/http://www.space.com/spacenews/businessmonday_040628.html |archive-date = 2008-05-06}}</ref> For US launches or satellites that will have broadcast to US territories—in order to obtain a license to provide telecommunications services in the United States—the [[Federal Communications Commission]] (FCC) required all geostationary satellites launched after 18 March 2002 to commit to moving to a graveyard orbit at the end of their operational life.<ref name="debate" /> US government regulations similarly require a plan to dispose of satellites after the end of their mission: atmospheric re-entry,{{clarify|how soon? 1 year? 5 years? 50 years?|date=December 2019}} movement to a storage orbit, or direct retrieval.<ref name="jt194">{{cite web | url=http://orbitaldebris.jsc.nasa.gov/library/USG_OD_Standard_Practices.pdf | title=US Government Orbital Debris Standard Practices}}</ref>
In order to obtain a license to provide telecommunications services in the United States, the [[Federal Communications Commission]] (FCC) requires all geostationary satellites launched after March 18, 2002, to commit to moving to a graveyard orbit at the end of their operational life.<ref>{{cite web|url=http://www.space.com/spacenews/businessmonday_040628.html |title=FCC Enters Orbital Debris Debate |deadurl=yes |archiveurl=https://web.archive.org/web/20090724183455/http://www.space.com/spacenews/businessmonday_040628.html |archivedate=2009-07-24 |df= }}</ref> U.S. government regulations require a boost, <math>\Delta{H}</math>, of ≈300&nbsp;km.<ref>{{cite web | url=http://orbitaldebris.jsc.nasa.gov/library/USG_OD_Standard_Practices.pdf | title=US Government Orbital Debris Standard Practices}}</ref>


A proposed energy-efficient means of [[deorbit]]ing a spacecraft from [[MEO]] is to shift it to an orbit in an unstable [[orbital resonance|resonance]] with the Sun or Moon that speeds up orbital decay.<ref name="Witze2018">{{cite journal|last1= Witze|first1= A.|title=The quest to conquer Earth’s space junk problem|journal= Nature|volume= 561|issue= 7721|date= 2018-09-05|pages= 24–26|doi= 10.1038/d41586-018-06170-1}}</ref><ref name="Daquin2016">{{cite journal|last1= Daquin|first1= J.|last2= Rosengren|first2=A. J.|last3= Alessi|first3=E. M.|last4= Deleflie|first4= F.|last5= Valsecchi|first5=G. B.|last6= Rossi|first6= A.|title=The dynamical structure of the MEO region: long-term stability, chaos, and transport|journal= Celestial Mechanics and Dynamical Astronomy|volume= 124|issue= 4|year= 2016|pages= 335–366|doi= 10.1007/s10569-015-9665-9}}</ref>
A proposed energy-efficient means of [[deorbit]]ing a spacecraft from [[Medium Earth Orbit]] is to shift it to an orbit in an unstable [[orbital resonance|resonance]] with the Sun or Moon that speeds up orbital decay.<ref name="Witze2018">{{cite journal|last1= Witze|first1= A.|title=The quest to conquer Earth's space junk problem|journal= Nature|volume= 561|issue= 7721|date= 2018-09-05|pages= 24–26|doi= 10.1038/d41586-018-06170-1|pmid= 30185967|doi-access= free|bibcode= 2018Natur.561...24W}}</ref><ref name="Daquin2016">{{cite journal|last1= Daquin|first1= J.|last2= Rosengren|first2=A. J.|last3= Alessi|first3=E. M.|last4= Deleflie|first4= F.|last5= Valsecchi|first5=G. B.|last6= Rossi|first6= A.|title=The dynamical structure of the MEO region: long-term stability, chaos, and transport|journal= Celestial Mechanics and Dynamical Astronomy|volume= 124|issue= 4|year= 2016|pages= 335–366|doi= 10.1007/s10569-015-9665-9|arxiv= 1507.06170|bibcode= 2016CeMDA.124..335D|s2cid= 119183742}}</ref>


One technology proposed to help deal with fragments from 1&nbsp;cm to 10&nbsp;cm in size is the [[laser broom]], a proposed multimegawatt land-based laser that could deorbit debris: the side of the debris hit by the laser would [[ablation|ablate]] and create a thrust that would change the [[Orbital eccentricity|eccentricity]] of the remains of the fragment until it would re-enter harmlessly.<ref>{{cite web |url=http://www.spacedaily.com/news/debris-00a.html |title=NASA Hopes Laser Broom Will Help Clean Up Space Debris |publisher=SpaceDaily |accessdate=2011-03-17}}</ref>
One technology proposed to help deal with fragments from {{convert|1|to|10|cm|frac=2|abbr=on}} in size is the [[laser broom]], a proposed multimegawatt land-based laser that could deorbit debris: the side of the debris hit by the laser would [[ablation|ablate]] and create a thrust that would change the [[Orbital eccentricity|eccentricity]] of the remains of the fragment until it would re-enter and be destroyed harmlessly.<ref name="RwFUS">{{cite web |url=http://www.spacedaily.com/news/debris-00a.html |title=NASA Hopes Laser Broom Will Help Clean Up Space Debris | website= SpaceDaily.com |access-date=2011-03-17}}</ref>


[[ESA]] and the Swiss startup [[ClearSpace-1|ClearSpace]] plans a mission to remove the [[PROBA-1]] satellite from orbit.<ref name=kelvey/>
==Potential trigger==
The [[Envisat]] satellite is a large, inactive satellite with a mass of {{convert|8211|kg|lb|abbr=on}} that drifts at {{convert|785|km|mi|abbr=on}}, an altitude where the debris environment is the greatest—two catalogued objects can be expected to pass within about 200 meters of Envisat every year<ref name=Kessler />—and likely to increase. It could easily become a major debris contributor from a collision during the next 150 years that it will remain in orbit.<ref name=Kessler>{{cite news | first = Andrea | last = Gini | title = Don Kessler on Envisat and the Kessler Syndrome | date = 25 April 2012 | url = http://www.spacesafetymagazine.com/2012/04/25/don-kessler-envisat-kessler-syndrome/ | work = Space Safety Magazine | accessdate = 2012-05-09}}</ref>


==In fiction==
==Potential triggers==
The [[Envisat]] satellite is a large, inactive satellite with a mass of {{convert|8211|kg|lb|abbr=on}} that orbits at {{convert|785|km|mi|abbr=on}}, an altitude where the debris environment is the greatest—two catalogued objects can be expected to pass within about {{cvt|200|m}} of Envisat every year<ref name="Kessler2012" />—and likely to increase. Don Kessler predicted in 2012 that it could easily become a major debris contributor from a collision during the next 150 years that it will remain in orbit.<ref name="Kessler2012">{{cite news |first=Andrea|last=Gini |title=Don Kessler on Envisat and the Kessler Syndrome |date=25 April 2012 |url= http://www.spacesafetymagazine.com/2012/04/25/don-kessler-envisat-kessler-syndrome/ |work=Space Safety Magazine |access-date=2012-05-09}}</ref>
<!-- Please include reliable sources. Entries should prominently be about the Kessler syndrome, and not just space-debris in general. Passing mentions should be avoided. See [[WP:IPC]]. -->


[[SpaceX]]'s [[Starlink]] program raises concerns about significantly worsening the possibility of Kessler syndrome due to the large number of satellites the program aims to place in LEO, as the program's goal will more than double the satellites currently in LEO.<ref name=kelvey/><ref name="Starlink Kessler">{{cite news |first=Jonathan|last=O'Callaghan |title=SpaceX's Starlink Could Cause Cascades of Space Junk |date=13 May 2019 |url=https://www.scientificamerican.com/article/spacexs-starlink-could-cause-cascades-of-space-junk/ |work=Scientific American |access-date=2020-08-19}}</ref> In response to these concerns, SpaceX said that a large part of Starlink satellites are launched at a lower altitude of {{cvt|550|km}} to achieve lower latency (versus {{cvt|1,150|km}} as originally planned), and failed satellites or debris are thus expected to deorbit within five years even without propulsion, due to atmospheric drag.<ref name="W6Nf2">{{Cite web|date=2019-07-02|title=Starlink failures highlight space sustainability concerns|url=https://spacenews.com/starlink-failures-highlight-space-sustainability-concerns/|access-date=2021-02-13|website=SpaceNews|language=en-US}}</ref>
* The 2013 film ''[[Gravity (2013 film)|Gravity]]'' features a Kessler syndrome catastrophe as the event that sets the plot in motion.<ref name= Reuters202013>{{cite news |last= Sinha-Roy |first=Piya |title=''Gravity'' gets lift at Comic-Con as director Cuaron leaps into space |date=July 20, 2013|url=https://www.reuters.com/article/2013/07/21/comiccon-film-gravity-idUSL1N0FQ0EV20130721 |publisher=Reuters |accessdate=2013-09-05 }}</ref>

* The plot of [[Neal Stephenson]]'s 2015 novel ''[[Seveneves]]'' begins with the unexplained explosion of the [[Moon]] into seven large pieces, the subsequent creation of a cloud of debris by Kessler syndrome collisions, and the eventual bombardment of Earth's surface by lunar meteoroids.<ref>{{cite news |last1=Freeman |first1=Daniel |title=Neal Stephenson's ''Seveneves'' – A Low-Spoiler "Science" Review |url=http://berkeleysciencereview.com/neal-stephensons-seveneves-a-low-spoiler-science-review/ |accessdate=4 August 2015 |work=Berkeley Science Review |date=18 May 2015 }}</ref>
== Current status ==
In 2024, Jon Kelvey noted in an overview article that "the scientific community hasn’t yet reached a consensus about whether the Kessler Syndrome has begun, or, if it has not begun, how bad it will be when it starts. There is consensus, however, that the basic concept is sound and that the space community needs to clean up its act."<ref name="kelvey">{{cite journal |last1=Jon |first1=Kelvey |title=Understanding the misunderstood Kessler Syndrome |journal=Aerospace America |date=1 March 2024 |url=https://aerospaceamerica.aiaa.org/features/understanding-the-misunderstood-kessler-syndrome/ |access-date=18 June 2024}}</ref>

==In fiction==
<!-- Please include reliable sources. Entries should prominently be about the Kessler syndrome and not just space-debris in general. Passing mentions should be avoided. See [[WP:IPC]]. -->
* The 2013 film ''[[Gravity (2013 film)|Gravity]]'' features a Kessler syndrome catastrophe as the inciting incident of the story, when Russia shoots down an old satellite.<ref name="Reuters202013">{{cite news |last= Sinha-Roy |first=Piya |title=''Gravity'' gets lift at Comic-Con as director Cuaron leaps into space |date=July 20, 2013 |url=https://www.reuters.com/article/comiccon-film-gravity-idUSL1N0FQ0EV20130721 |publisher=Reuters |access-date=2013-09-05}}</ref> It was described as "Kessler Syndrome on steroids that defies physics".<ref name="kelvey" />
* [[Neal Stephenson]]'s 2015 novel ''[[Seveneves]]'' begins with the unexplained explosion of the [[Moon]] into seven large pieces, the subsequent creation of a cloud of debris by Kessler syndrome collisions, and the eventual bombardment of Earth's surface by lunar meteoroids.<ref name="Rmkj7">{{cite news |last1=Freeman |first1=Daniel |title=Neal Stephenson's ''Seveneves'' – A Low-Spoiler 'Science' Review |url=http://berkeleysciencereview.com/neal-stephensons-seveneves-a-low-spoiler-science-review/ |access-date=4 August 2015 |work=Berkeley Science Review |date=18 May 2015 |archive-date=13 July 2015 |archive-url=https://web.archive.org/web/20150713022306/http://berkeleysciencereview.com/neal-stephensons-seveneves-a-low-spoiler-science-review/ |url-status=dead }}</ref>


==See also==
==See also==
{{Portal|Spaceflight|Technology}}
* 1985 [[ASM-135 ASAT]] anti-satellite missile test
<!-- Please keep entries in alphabetical order and add a short description {{annotated link|WP:SEEALSO}} -->
* [[2007 Chinese anti-satellite missile test]]
{{div col}}
* [[2009 satellite collision]]
* 1961 and 1963 {{Annotated link|Project West Ford}}
* [[P78-1]]
* [[ASM-135 ASAT#1985 test|1985 ASM-135 ASAT test]] – 1985 United States anti-satellite missile test
* [[SNAP-10A]]
* {{Annotated link|2007 Chinese anti-satellite missile test}}
* [[Space Liability Convention]]
* {{Annotated link|2009 satellite collision}}
* [[USA-193]]
* {{Annotated link|Space Liability Convention}}
* {{Annotated link|Space sustainability}}
* {{Annotated link|Starlink}}
* {{Annotated link|USA-193}}
{{div col end}}
<!-- Please keep entries in alphabetical order -->


==References==
== Citations ==
{{Reflist|30em}}
{{reflist|1=30em}}

== Bibliography ==
{{Refbegin}}
* {{cite report |last=Gleghorn |first=George |date=1995 |title=Orbital Debris: A Technical Assessment |url=https://orbitaldebris.jsc.nasa.gov/library/a-technical-assessment.pdf |publisher=National Academy of Sciences |isbn=0-309-05125-8 |display-authors=etal}}
* {{cite journal |last1=Hoots |first1=Felix |last2=Schumacher |first2=Paul Jr. |last3=Glover |first3=Robert A. |year=2004 |title=History of Analytical Orbit Modeling in the U.S. Space Surveillance System |journal=Journal of Guidance, Control, and Dynamics |volume=27 |issue=2 |pages=174–185 |doi=10.2514/1.9161 |bibcode=2004JGCD...27..174H}}
* {{cite book |author-last1=Forgan |author-first1=Duncan H. |title=Solving Fermi's Paradox |series=Cambridge Astrobiology |date=2019 |publisher=Cambridge University Press |oclc=1098275130 |isbn=978-1-316-68151-0 |ol=21201773W |doi=10.1017/9781316681510}}
* {{cite journal |author-last1=Hamilton |author-first1=Chase |title=Space and existential risk: The need for global coordination and caution in space development |date=2022 |journal=Duke Law & Technology Review |volume=21 |pages=1–60}}
* {{cite journal |last=Kessler |first=Donald |year=1971 |url=http://adsabs.harvard.edu/abs/1971NASSP.267..595K |title=Estimate of Particle Densities and Collision Danger for Spacecraft Moving Through the Asteroid Belt |journal=Physical Studies of Minor Planets |volume=267 |publisher=NASA SP-267 |pages=595–605 |bibcode=1971NASSP.267..595K}}
* {{cite journal |last1=Kessler |first1=Donald |last2=Cour-Palais |first2=Burton |date=June 1978 |url=http://webpages.charter.net/dkessler/files/Collision%20Frequency.pdf |title=Collision Frequency of Artificial Satellites: The Creation of a Debris Belt |journal=Journal of Geophysical Research |volume=81 |number=A6 |pages=2637–2646 |bibcode=1978JGR....83.2637K |doi=10.1029/JA083iA06p02637 |archive-url=https://web.archive.org/web/20110515132446/http://webpages.charter.net/dkessler/files/Collision%20Frequency.pdf |archive-date=15 May 2011}}
* {{cite journal |last=Kessler |first=Donald |year=1981 |title=Sources of Orbital Debris and the Projected Environment for Future Spacecraft |url=http://webpages.charter.net/dkessler/files/SourcesofOrbitalDebris.pdf |journal=Journal of Spacecraft |volume=16 |number=4 |pages=357–360 |doi=10.2514/3.57828 |bibcode=1981JSpRo..18..357K |archive-url=https://web.archive.org/web/20100714011725/http://webpages.charter.net/dkessler/files/SourcesofOrbitalDebris.pdf |archive-date=14 July 2010}}
* {{cite journal |last=Kessler |first=Donald |date=December 1991 |title=Collisional Cascading: The Limits of Population Growth in Low Earth Orbit |url=http://webpages.charter.net/dkessler/files/Critical%20Density%201991.pdf |journal=Advances in Space Research |volume=11 |number=12 |pages=63–66 |doi=10.1016/0273-1177(91)90543-S |bibcode=1991AdSpR..11l..63K |archive-url=https://web.archive.org/web/20100714011651/http://webpages.charter.net/dkessler/files/Critical%20Density%201991.pdf |archive-date=14 July 2010}}
* {{cite journal |last1=Kessler |first1=Donald |last2=Anz-Meador |first2=Phillip |date=March 2001 |url=https://conference.sdo.esoc.esa.int/proceedings/sdc3/paper/97/SDC3-paper97.pdf |title=Critical Number of Spacecraft in Low Earth Orbit: Using Fragmentation Data to Evaluate the Stability of the Orbital Debris Environment |journal=Proceedings of the Third European Conference on Space Debris |location=Darmstadt, Germany |access-date=January 21, 2023}}
* {{cite book |last=Kessler |first=Donald |date=8 March 2009 |url=https://aquarid.physics.uwo.ca/kessler/KesSym.html |title=The Kessler Syndrome |publisher=Western University Canada |access-date=January 21, 2023}}
* {{cite thesis |author-last1=Lehman |author-first1=Connor |title=Autonomous Controls for Active Space Debris Removal |date=2023 |degree=PhD |publisher=Rensselaer Polytechnic Institute}}
* {{cite magazine |last=Schefter |first=Jim |date=July 1982 |volume=221 |issue=1 |url=https://books.google.com/books?id=q0qVc8dQrpgC&pg=PA48 |title=The Growing Peril of Space Debris |magazine=[[Popular Science]] |pages=48–51 |via=Google Books}}
* {{cite journal |author-last1=Stevens |author-first1=Adam |author-last2=Forgan |author-first2=Duncan H. |author-last3=O'Malley-James |author-first3=Jack |title=Observational signatures of self-destructive civilizations |date=2016 |journal=International Journal of Astrobiology |volume=15 |issue=4 |pages=333–344 |doi=10.1017/S1473550415000397|arxiv=1507.08530 }}
{{refend}}


==Further reading==
==Further reading==
*{{cite web
* {{cite web
| url = http://webpages.charter.net/dkessler/files/KesSym.html
| url = http://webpages.charter.net/dkessler/files/KesSym.html
| title = The Kessler Syndrome (As Discussed by Donald J. Kessler)
| title = The Kessler Syndrome (As Discussed by Donald J. Kessler)
| accessdate = 2010-05-26
| access-date = 2010-05-26
| author =
| last = Kessler
| last = Kessler
| first = D
| first = D
| authorlink =
| year = 2009
| year = 2009
| archive-url =https://web.archive.org/web/20100527195029/http://webpages.charter.net/dkessler/files/KesSym.html
| work =
| archive-date =2010-05-27
| publisher =
| location =
| url-status = dead
| pages =
| language =
| doi =
| archiveurl =https://web.archive.org/web/20100527195029/http://webpages.charter.net/dkessler/files/KesSym.html
| archivedate =2010-05-27
| dateformat =
| dead-url = yes
| quote =
}}
}}
* An article in the July 2009 issue of ''[[Popular Mechanics]]'' by Glenn Harlan Reynolds discusses the Kessler syndrome in regards to the February [[2009 satellite collision]] and how international law may need to address the problem to help prevent future incidents: Reynolds, G. H. (2009, July). "Collision course". ''Popular Mechanics'', pp.&nbsp;50–52.

* Documentary: ''Collision point: The Race to Clean Up Space'' (length: 22 minutes 28 seconds), included in the extra material on the [[Blu-ray Disc]] for the film [[Gravity (2013 film)|''Gravity'']].
* An article in the July 2009 issue of ''[[Popular Mechanics]]'' by Glenn Harlan Reynolds discusses the Kessler syndrome in regards to the February, [[2009 satellite collision]] and how international law may need to address the problem to help prevent future incidents: Reynolds, G. H. (2009, July). Collision course. ''Popular Mechanics'', p.&nbsp;50-52.
* Kessler was featured in an article named, "[https://www.wired.com/magazine/2010/05/ff_space_junk/ The Looming Space Junk Crisis: It’s Time to Take Out the Trash]," which appeared in the June 2010 issue of [[Wired magazine|Wired Magazine]].
* Documentary: ''Collision point: The race to clean up space'' (length: 22 minutes 28 seconds), included in the extra material on the [[Blu-ray Disc]] for [[Gravity (2013 film)|Gravity (film)]].


==External links==
==External links==
* [http://meteor.uwo.ca/kessler/iwp5.html Don Kessler's Web Page]
* [http://meteor.uwo.ca/kessler/iwp5.html Donald Kessler's Web Page] at uwo.ca.
* [http://stuffin.space/ Orbiting Satellites in real time]. {{Webarchive|url=https://web.archive.org/web/20190714025342/http://stuffin.space/ |date=2019-07-14 }} at stuffin.space.
* {{APOD |date=18 February 2009 |title=Satellites Collide in Low Earth Orbit}}
* {{APOD |date=18 February 2009 |title=Satellites Collide in Low Earth Orbit}}.
* [http://lasp.colorado.edu/~lix/class/asen5335/hw6.html Mathematical Modeling of debris flux]
* [http://lasp.colorado.edu/~lix/class/asen5335/hw6.html Mathematical Modeling of debris flux]. {{Webarchive|url=https://web.archive.org/web/20190228121658/http://lasp.colorado.edu/~lix/class/asen5335/hw6.html |date=2019-02-28 }} at lasp.colorado.edu.
* [https://www.nytimes.com/2007/02/06/science/space/06orbi.html ''The New York Times'': "Orbiting Junk, Once a Nuisance, Is Now a Threat"]
* {{cite news| url= https://www.nytimes.com/2007/02/06/science/space/06orbi.html |work= The New York Times| title= Orbiting Junk, Once a Nuisance, Is Now a Threat|date= 6 February 2007|last1= Broad|first1= William J.}}
* [https://www.wired.com/wired/archive/15.05/st_houston.html Wired: Houston we have a trash problem]
* {{cite news |last=Schwartz|first=Evan I.|date=May 24, 2010 |title=The Looming Space Junk Crisis: It’s Time to Take Out the Trash| url=https://www.wired.com/magazine/2010/05/ff_space_junk/ |work=Wired|accessdate=14 June 2010}}
* {{cite magazine| url= https://www.wired.com/wired/archive/15.05/st_houston.html |magazine= Wired| title= Houston we have a trash problem}}
* {{cite magazine |last=Schwartz|first=Evan I.|date=May 24, 2010 |title=The Looming Space Junk Crisis: It's Time to Take Out the Trash| url= https://www.wired.com/magazine/2010/05/ff_space_junk/ |magazine=Wired|access-date=14 June 2010}}
* [https://www.nytimes.com/2009/02/12/science/space/12satellite.html Debris Spews Into Space After Satellites Collide]
* {{cite news| url= https://www.nytimes.com/2009/02/12/science/space/12satellite.html |title= Debris Spews Into Space After Satellites Collide| work= The New York Times|date= 12 February 2009|last1= Broad|first1= William J.}}
* [http://spectregroup.wordpress.com/2008/03/24/earth-will-have-rings/ Aggregated public information research on space debris, graveyard orbits, etc.]
* [http://hosted2.ap.org/txash/f7ded15e4d4846268a17b79c1c4b7cb8/Article_2011-09-01-Space%20Junk/id-a08163f140094ef8ab62a3cf4a6d0826 "Space junk littering orbit; might need cleaning up"], Associated Press (1 September 2011)
* {{cite news| url= http://hosted2.ap.org/txash/f7ded15e4d4846268a17b79c1c4b7cb8/Article_2011-09-01-Space%20Junk/id-a08163f140094ef8ab62a3cf4a6d0826 |title= Space junk littering orbit; might need cleaning up| publisher= Associated Press | date= 1 September 2011}}
* [https://ig.ft.com/space-debris/ "How space debris threatens modern life"]. ''Financial Times''. 8 June 2022.


[[Category:Meteorological hypotheses]]
[[Category:Pollution]]
[[Category:Pollution]]
[[Category:Space hazards]]
[[Category:Space hazards]]
[[Category:Space warfare]]
[[Category:Space warfare]]
[[Category:1978 neologisms]]

Latest revision as of 02:52, 3 December 2024

Space debris populations seen from outside geosynchronous orbit (GSO). There are two primary debris fields: the ring of objects in GSO and the cloud of objects in low Earth orbit (LEO).

The Kessler syndrome (also called the Kessler effect,[1][2] collisional cascading, or ablation cascade), proposed by NASA scientists Donald J. Kessler and Burton G. Cour-Palais in 1978, is a scenario in which the density of objects in low Earth orbit (LEO) due to space pollution is numerous enough that collisions between objects could cause a cascade in which each collision generates space debris that increases the likelihood of further collisions.[3] In 2009, Kessler wrote that modeling results had concluded that the debris environment was already unstable, "such that any attempt to achieve a growth-free small debris environment by eliminating sources of past debris will likely fail because fragments from future collisions will be generated faster than atmospheric drag will remove them".[4] One implication is that the distribution of debris in orbit could render space activities and the use of satellites in specific orbital ranges difficult for many generations.[3]

History

[edit]

NORAD, Gabbard and Kessler

[edit]
Debris graph of altitude and orbital period
Gabbard diagram of almost 300 pieces of debris from the disintegration of the five-month-old third stage of the Chinese Long March 4 booster on 11 March 2000

Willy Ley predicted in 1960 that "In time, a number of such accidentally too-lucky shots will accumulate in space and will have to be removed when the era of manned space flight arrives".[5] After the launch of Sputnik 1 in 1957, the North American Aerospace Defense Command (NORAD) began compiling a database (the Space Object Catalog) of all known rocket launches and objects reaching orbit: satellites, protective shields and upper- and lower-stage booster rockets. NASA later published[when?] modified versions of the database in two-line element set,[6] and during the early 1980s the CelesTrak bulletin board system re-published them.[7]

The trackers who fed the database were aware of other objects in orbit, many of which were the result of in-orbit explosions.[8] Some were deliberately caused during the 1960s anti-satellite weapon (ASAT) testing, and others were the result of rocket stages blowing up in orbit as leftover propellant expanded and ruptured their tanks. To improve tracking, NORAD employee John Gabbard kept a separate database. Studying the explosions, Gabbard developed a technique for predicting the orbital paths of their products, and Gabbard diagrams (or plots) are now widely used. These studies were used to improve the modeling of orbital evolution and decay.[9]

When the NORAD database became publicly available during the 1970s, NASA scientist Donald J. Kessler applied the technique developed for the asteroid-belt study to the database of known objects. In June 1978, Kessler and Burton Cour-Palais co-authored "Collision Frequency of Artificial Satellites: The Creation of a Debris Belt",[3] demonstrating that the process controlling asteroid evolution would cause a similar collision process in LEO in decades rather than billions of years. They concluded that by about 2000, space debris would outpace micrometeoroids as the primary ablative risk to orbiting spacecraft.[4]

At the time, it was widely thought that drag from the upper atmosphere would de-orbit debris faster than it was created.[citation needed] However, Gabbard was aware that the number and type of objects in space were under-represented in the NORAD data and was familiar with their behavior. In an interview shortly after the publication of the 1978 paper, Gabbard coined the term Kessler syndrome to refer to the accumulation of debris;[4] it became widely used after its appearance in a 1982 Popular Science article,[10] which won the Aviation-Space Writers Association 1982 National Journalism Award.[4]

Follow-up studies

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Large camera, with a man standing next to it for scale
Baker–Nunn cameras were widely used to study space debris.

The lack of hard data about space debris prompted a series of studies to better characterize the LEO environment. In October 1979, NASA provided Kessler with funding for further studies.[4] Several approaches were used by these studies.

Optical telescopes and short-wavelength radar were used to measure the number and size of space objects, and these measurements demonstrated that the published population count was at least 50% too low.[11] Before this, it was believed that the NORAD database accounted for the majority of large objects in orbit. Some objects (typically, US military spacecraft) were found to be omitted from the NORAD list, and others were not included because they were considered unimportant. The list could not easily account for objects under 20 cm (8 in) in size—in particular, debris from exploding rocket stages and several 1960s anti-satellite tests.[4]

Returned spacecraft were microscopically examined for small impacts, and sections of Skylab and the Apollo Command/Service Module which were recovered were found to be pitted. Each study indicated that the debris flux was higher than expected and debris was the primary source of micrometeoroids and orbital debris collisions in space. LEO already demonstrated the Kessler syndrome.[4]

In 1978, Kessler found that 42 percent of cataloged debris was the result of 19 events, primarily explosions of spent rocket stages (especially US Delta rockets).[12] He discovered this by first identifying those launches that were described as having a large number of objects associated with a payload, then researching the literature to determine the rockets used in the launch. In 1979, this finding resulted in establishment of the NASA Orbital Debris Program after a briefing to NASA senior management, overturning the previously held belief that most unknown debris was from old ASAT tests, not from US upper stage rocket explosions that could seemingly be easily managed by depleting the unused fuel from the upper stage Delta rocket following the payload injection. Beginning in 1986, when it was discovered that other international agencies were possibly experiencing the same type of problem, NASA expanded its program to include international agencies, the first being the European Space Agency.[13]: 2  A number of other Delta components in orbit (Delta was a workhorse of the US space program) had not yet exploded.[citation needed]

A new Kessler syndrome

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During the 1980s, the United States Air Force (USAF) conducted an experimental program to determine what would happen if debris collided with satellites or other debris. The study demonstrated that the process differed from micrometeoroid collisions, with large chunks of debris created which would become collision threats.[4]

In 1991, Kessler published "Collisional cascading: The limits of population growth in low Earth orbit"[14] with the best data then available. Citing the USAF conclusions about creation of debris, he wrote that although almost all debris objects (such as paint flecks) were lightweight, most of its mass was in debris about 1 kg (2 lb 3 oz) or heavier. This mass could destroy a spacecraft on impact, creating more debris in the critical-mass area.[15] According to the National Academy of Sciences:

A 1 kg object impacting at 10 km/s, for example, is probably capable of catastrophically breaking up a 1,000 kg spacecraft if it strikes a high-density element in the spacecraft. In such a breakup, numerous fragments larger than 1 kg would be created.[16]

Kessler's analysis divided the problem into three parts. With a low-enough density, the addition of debris by impacts is slower than their decay rate and the problem is not significant. Beyond that is a critical density, where additional debris leads to additional collisions. At densities beyond this critical mass production exceeds decay, leading to a cascading chain reaction reducing the orbiting population to small objects (several centimeters in size) and increasing the hazard of space activity.[15] This chain reaction is known as the Kessler syndrome.[4]

In an early 2009 historical overview, Kessler summed up the situation:

Aggressive space activities without adequate safeguards could significantly shorten the time between collisions and produce an intolerable hazard to future spacecraft. Some of the most environmentally dangerous activities in space include large constellations such as those initially proposed by the Strategic Defense Initiative in the mid-1980s, large structures such as those considered in the late-1970s for building solar power stations in Earth orbit, and anti-satellite warfare using systems tested by the USSR, the US, and China over the past 30 years. Such aggressive activities could set up a situation where a single satellite failure could lead to cascading failures of many satellites in a period much shorter than years.[4]

Anti-satellite missile tests

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In 1985, the first anti-satellite (ASAT) missile was used in the destruction of a satellite. The American 1985 ASM-135 ASAT test was carried out, in which the Solwind P78-1 satellite flying at an altitude of 555 kilometres (345 mi) was struck by the 14-kilogram (31 lb) payload at a velocity of 24,000 kilometres per hour (15,000 mph; 6.7 km/s). When NASA learned of U.S. Air Force plans for the Solwind ASAT test, they modeled the effects of the test and determined that debris produced by the collision would still be in orbit late into the 1990s. It would force NASA to enhance debris shielding for its planned space station.[17]

On 11 January 2007, China conducted an anti-satellite missile test in which one of their FY-1C weather satellites was chosen as the target. The collision occurred at an altitude of 865 kilometres (537 mi), when the satellite with a mass of 750 kilograms (1,650 lb) was struck in a head-on-collision by a kinetic payload traveling with a speed of 8 km/s (18,000 mph) in the opposite direction. The resulting debris orbits the Earth with a mean altitude above 850 kilometres (530 mi), and will likely remain in orbit for decades or centuries.[18]

The destruction of the Kosmos 1408 satellite by a Russian ASAT missile on November 15, 2021, has created a large debris cloud, with 1500 pieces of debris being tracked and an estimated hundreds of thousands of pieces too small to track. Since the satellite was in a polar orbit, and its debris has spread out between the altitudes of 300 and 1,000 kilometres (190 and 620 mi), it could potentially collide with any LEO satellite, including the International Space Station and the Chinese Space Station (Tiangong).[19][20][21]

Chinese rocket explosion

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A significant event related to the Kessler Syndrome occurred on August 9, 2024, when a Chinese Long March 6A rocket broke apart in low-Earth orbit, creating a cloud of hundreds of debris fragments. The US Space Command confirmed this breakup, and it has been tracked by multiple space debris-tracking organizations. The event resulted in at least 700 fragments, with the potential for more than 900. The debris poses a substantial risk to low-Earth orbit constellations, particularly those orbiting below 800 kilometers, and may remain in orbit for years, increasing the likelihood of collisions. This incident highlights ongoing concerns about space debris and the increasing risk of a cascading effect as more objects are launched into orbit. [22]

Debris generation and destruction

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Every satellite, space probe, and crewed mission has the potential to produce space debris. The theoretical cascading Kessler syndrome becomes more likely as satellites in orbit increase in number. As of 2014, there were about 2,000 commercial and government satellites orbiting the Earth,[23] and as of 2021 more than 4000.[24] It is estimated that there are 600,000 pieces of space junk ranging from 1 to 10 cm (12 to 4 in), and 23,000 larger than that.[24] On average, every year, one satellite is destroyed by collision with other satellites or space junk.[23][25] As of 2009, there had been four collisions between catalogued objects, including a collision between two satellites in 2009.[4]

Orbital decay is much slower at altitudes where atmospheric drag is insignificant. Slight atmospheric drag, lunar perturbation, and solar wind drag can gradually bring debris down to lower altitudes where fragments finally re-enter, but this process can take millennia at very high altitudes.[26]

Implications

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Image made from models used to track debris in Earth orbit as of July 2009

The Kessler syndrome is troublesome because of the domino effect and feedback runaway wherein impacts between objects of sizable mass spall off debris from the force of the collision. The fragments can then hit other objects, producing even more space debris: if a large enough collision or explosion were to occur, such as between a space station and a defunct satellite, or as the result of hostile actions in space, then the resulting debris cascade could make prospects for long-term viability of satellites in particular low Earth orbits extremely low.[27][28] However, even a catastrophic Kessler scenario at LEO would pose minimal risk for launches continuing past LEO, or satellites travelling at medium Earth orbit (MEO) or geosynchronous orbit (GEO). The catastrophic scenarios predict an increase in the number of collisions per year, as opposed to a physically impassable barrier to space exploration that occurs in higher orbits.[citation needed]

As a solution to the Fermi paradox

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Some astronomers have hypothesized Kessler syndrome as a possible or likely solution to the Fermi paradox, the lack of any sign of alien life in the universe. Any intelligent civilization which becomes spacefaring could eventually extinguish any safe orbits via Kessler syndrome, trapping itself within its home planet.[29] Such a result could happen even with robust space pollution controls, as a lone malicious actor on a planet could cause a Kessler syndrome scenario.[30] Humanity could be on the path to a similar fate, soon to trap itself on Earth with no future as a spacefaring civilization.[31] Some exoplanet researchers have attempted to survey other planets for signs of a Kessler syndrome cascade as a sign of intelligent life.[32]

Avoidance and reduction

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Designers of a new vehicle or satellite are frequently required by the ITU[33] to demonstrate that it can be safely disposed of at the end of its life, for example by use of a controlled atmospheric reentry system or a boost into a graveyard orbit.[34] For US launches or satellites that will have broadcast to US territories—in order to obtain a license to provide telecommunications services in the United States—the Federal Communications Commission (FCC) required all geostationary satellites launched after 18 March 2002 to commit to moving to a graveyard orbit at the end of their operational life.[34] US government regulations similarly require a plan to dispose of satellites after the end of their mission: atmospheric re-entry,[clarification needed] movement to a storage orbit, or direct retrieval.[35]

A proposed energy-efficient means of deorbiting a spacecraft from Medium Earth Orbit is to shift it to an orbit in an unstable resonance with the Sun or Moon that speeds up orbital decay.[36][37]

One technology proposed to help deal with fragments from 1 to 10 cm (12 to 4 in) in size is the laser broom, a proposed multimegawatt land-based laser that could deorbit debris: the side of the debris hit by the laser would ablate and create a thrust that would change the eccentricity of the remains of the fragment until it would re-enter and be destroyed harmlessly.[38]

ESA and the Swiss startup ClearSpace plans a mission to remove the PROBA-1 satellite from orbit.[39]

Potential triggers

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The Envisat satellite is a large, inactive satellite with a mass of 8,211 kg (18,102 lb) that orbits at 785 km (488 mi), an altitude where the debris environment is the greatest—two catalogued objects can be expected to pass within about 200 m (660 ft) of Envisat every year[40]—and likely to increase. Don Kessler predicted in 2012 that it could easily become a major debris contributor from a collision during the next 150 years that it will remain in orbit.[40]

SpaceX's Starlink program raises concerns about significantly worsening the possibility of Kessler syndrome due to the large number of satellites the program aims to place in LEO, as the program's goal will more than double the satellites currently in LEO.[39][41] In response to these concerns, SpaceX said that a large part of Starlink satellites are launched at a lower altitude of 550 km (340 mi) to achieve lower latency (versus 1,150 km (710 mi) as originally planned), and failed satellites or debris are thus expected to deorbit within five years even without propulsion, due to atmospheric drag.[42]

Current status

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In 2024, Jon Kelvey noted in an overview article that "the scientific community hasn’t yet reached a consensus about whether the Kessler Syndrome has begun, or, if it has not begun, how bad it will be when it starts. There is consensus, however, that the basic concept is sound and that the space community needs to clean up its act."[39]

In fiction

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  • The 2013 film Gravity features a Kessler syndrome catastrophe as the inciting incident of the story, when Russia shoots down an old satellite.[43] It was described as "Kessler Syndrome on steroids that defies physics".[39]
  • Neal Stephenson's 2015 novel Seveneves begins with the unexplained explosion of the Moon into seven large pieces, the subsequent creation of a cloud of debris by Kessler syndrome collisions, and the eventual bombardment of Earth's surface by lunar meteoroids.[44]

See also

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Citations

[edit]
  1. ^ Stenger, Richard (2002-05-03). "Scientist: Space weapons pose debris threat". CNN.com. Archived from the original on 2012-09-30. Retrieved 2011-03-17.
  2. ^ Olson, Steve (July 1998). "The Danger of Space Junk – 98.07". The Atlantic. Retrieved 2020-06-18 – via TheAtlantic.com.
  3. ^ a b c Kessler, Donald J.; Cour-Palais, Burton G. (1978). "Collision Frequency of Artificial Satellites: The Creation of a Debris Belt" (PDF). Journal of Geophysical Research. 83 (A6): 2637–2646. Bibcode:1978JGR....83.2637K. doi:10.1029/JA083iA06p02637. Archived from the original (PDF) on 2011-05-15.
  4. ^ a b c d e f g h i j k Kessler, Donald J. (8 March 2009). "The Kessler Syndrome". Archived from the original on 27 May 2010.
  5. ^ Ley, Willy (August 1960). "How to Slay Dragons". For Your Information. Galaxy Science Fiction. pp. 57–72.
  6. ^ Hoots, Schumacher & Glover 2004.
  7. ^ Kelso, T. S. "Historical Archives". CelesTrak BBS. Archived from the original on 17 July 2012., 2-line elements dating to 1980.
  8. ^ Schefter 1982, p. 48.
  9. ^ Portree, David; Loftus, Joseph (1999). "Orbital Debris: A Chronology" (PDF). NASA. p. 13. Archived from the original (PDF) on 1 September 2000.
  10. ^ Schefter 1982.
  11. ^ Kessler 1991, p. 65.
  12. ^ Kessler 1981.
  13. ^ Klinkrad, Heiner (2006). Space Debris: Models and Risk Analysis. Springer-Praxis. ISBN 3-540-25448-X. Archived from the original on 2011-05-12. Retrieved 2019-12-21.
  14. ^ Kessler 1991.
  15. ^ a b Kessler 1991, p. 63.
  16. ^ Gleghorn 1995, p. 4.
  17. ^ NASA TP-1999-208856. David S. F. Portree and Joseph P. Loftus Jr. "Orbital Debries: A Chronology".
  18. ^ History of On-Orbit Satellite Fragmentations, 14th Edition, published by NASA Orbital Debris Program Office, pp. 26, 386. May 2008. http://orbitaldebris.jsc.nasa.gov/library/SatelliteFragHistory/TM-2008-214779.pdf.
  19. ^ "Russian anti-satellite test adds to worsening problem of space debris". bbc.co.uk. 16 November 2021. Retrieved 19 November 2021.
  20. ^ "Russia blows up a satellite, creating a dangerous debris cloud in space". theverge.com. 15 November 2021. Retrieved 19 November 2021.
  21. ^ "New images and analyses reveal extent of Cosmos 1408 debris cloud". arstechnica.com. 17 November 2021. Retrieved 19 November 2021.
  22. ^ "Chinese rocket breaks apart in low-Earth orbit, creating a cloud of space debris, US Space Command says". CNN. 9 August 2024. Retrieved 9 August 2024.
  23. ^ a b "Lockheed Martin in space junk deal with Australian firm". BBC News. 28 August 2014. Retrieved 2014-08-28.
  24. ^ a b Andrews, Robin George (Oct 30, 2021). "Satellites and junk are littering space and ruining our night skies". New Scientist.
  25. ^ Carpineti, Alfredo (2016-05-15). "Space Debris Has Chipped One Of The ISS's Windows". I Fucking Love Science. Archived from the original on 2016-05-16. Retrieved 2016-05-16.
  26. ^ "Space Debris – A Guide". www.spaceacademy.net.au. Retrieved 2022-12-04.
  27. ^ Primack, Joel R. (2002). "Debris and Future Space Activities" (PDF). physics.ucsc.edu. Physics Department, University of California, Santa Cruz. With enough orbiting debris, pieces will begin to hit other pieces, setting off a chain reaction of destruction that will leave a lethal halo around the Earth.
  28. ^ Primack, Joel R.; Abrams, Nancy Ellen. "Star Wars Forever? – A Cosmic Perspective" (PDF). physics.ucsc.edu. Physics Department, University of California, Santa Cruz. the deliberate injection into LEO of large numbers of particles as a cheap but effective anti-satellite measure.
  29. ^ Forgan 2019, p. 227: "If it cannot perform pollution-free spacecraft launches (or fully clean up its pollution), then it will eventually succumb to Kessler syndrome, with potentially drastic consequences for future space use, with likely civilisation-ending effects."
  30. ^ Stevens, Forgan & O'Malley-James 2016, p. 340: "If a civilization has failed, then the ability of large space-based structures to avoid debris strikes and meteoroid hits will be diminished, and a Kessler syndrome scenario could be achieved with a lower density of objects. Even if a civilization does not fail, malicious activity could result in devastation of the low orbit environment, which in itself could precipitate collapse."
  31. ^ Hamilton 2022, p. 43: "The effects of Kessler Syndrome will dramatically raise the length of time humanity remains a one-planet civilization. Besides any potential risks posed by a loss of crucial space technologies, a land-locked humanity would be vulnerable to numerous other existential risks, including the eventual exhaustion of Earth's resources."
  32. ^ Lehman 2023, p. 3: "Space debris is considered such a threat to the advancement of humanity that some researchers are considering using Kessler rings of debris around planets as a potential signature of extraterrestrial life that has wiped itself out."
  33. ^ "Recommendation ITU-R S.1003-2" (PDF).
  34. ^ a b "FCC Enters Orbital Debris Debate". Space.com. Archived from the original on 2008-05-06.
  35. ^ "US Government Orbital Debris Standard Practices" (PDF).
  36. ^ Witze, A. (2018-09-05). "The quest to conquer Earth's space junk problem". Nature. 561 (7721): 24–26. Bibcode:2018Natur.561...24W. doi:10.1038/d41586-018-06170-1. PMID 30185967.
  37. ^ Daquin, J.; Rosengren, A. J.; Alessi, E. M.; Deleflie, F.; Valsecchi, G. B.; Rossi, A. (2016). "The dynamical structure of the MEO region: long-term stability, chaos, and transport". Celestial Mechanics and Dynamical Astronomy. 124 (4): 335–366. arXiv:1507.06170. Bibcode:2016CeMDA.124..335D. doi:10.1007/s10569-015-9665-9. S2CID 119183742.
  38. ^ "NASA Hopes Laser Broom Will Help Clean Up Space Debris". SpaceDaily.com. Retrieved 2011-03-17.
  39. ^ a b c d Jon, Kelvey (1 March 2024). "Understanding the misunderstood Kessler Syndrome". Aerospace America. Retrieved 18 June 2024.
  40. ^ a b Gini, Andrea (25 April 2012). "Don Kessler on Envisat and the Kessler Syndrome". Space Safety Magazine. Retrieved 2012-05-09.
  41. ^ "Starlink failures highlight space sustainability concerns". SpaceNews. 2019-07-02. Retrieved 2021-02-13.
  42. ^ Sinha-Roy, Piya (July 20, 2013). "Gravity gets lift at Comic-Con as director Cuaron leaps into space". Reuters. Retrieved 2013-09-05.
  43. ^ Freeman, Daniel (18 May 2015). "Neal Stephenson's Seveneves – A Low-Spoiler 'Science' Review". Berkeley Science Review. Archived from the original on 13 July 2015. Retrieved 4 August 2015.

Bibliography

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Further reading

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