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The results of the components of the rotation of the perihelion of Mercury, obtained in [1], due to the following five parts:
The results of the components of the rotation of the perihelion of Mercury, obtained in [1], due to the following five parts:


1) differential equations of motion and their solution method. <ref>Melnikov,V.P., Smulsky,J.J., Krotov O.I., Smulsky,L.J. Orbits of The Earth And The Sun And Possible Their Influences On of The Earth Cryosphere (Statement of a Problem And The First Results) // Cryosphere of the Earth. - 2000. - Vol. IV, No. 3, Pp. 3-13. (In Russian).</ref><ref>Melnikov V. P., Smulsky J.J. The Astronomical Factors Of Influence On The Earth's Cryosphere And The Problem Of Their Research // Earth Cryosphere, 2004 Vol. VIII, No. 1. Pp. 3-14. (In Russian).</ref>
1) differential equations of motion and their solution method. <ref>Melnikov,V.P., Smulsky,J.J., Krotov O.I., Smulsky,L.J. Orbits of The Earth And The Sun And Possible Their Influences On of The Earth Cryosphere (Statement of a Problem And The First Results) // Cryosphere of the Earth. - 2000. - Vol. IV, No. 3, Pp. 3-13. (In Russian).</ref><ref>Melnikov V. P., Smulsky J.J. The Astronomical Factors Of Influence On The Earth's Cryosphere And The Problem Of Their Research // Earth Cryosphere, 2004 Vol. VIII, No. 1. Pp. 3-14. (<a href="http://www.smul1.newmail.ru/Russian1/IntSunSyst/OrZS.pdf">In Russian</a>).</ref><ref>Melnikov V. P., Smulsky J.J. The Astronomical Factors Of Influence On The Earth's Cryosphere And The Problem Of Their Research // Earth Cryosphere, 2004 Vol. VIII, No. 1. Pp. 3-14. (<a href="http://www.smul1.newmail.ru/Russian1/IntSunSyst/Astrfak7.htm">In Russian</a>).</ref>, <ref>Smulsky J.J., Optimization of Passive Orbit with the Use of Gravity Maneuver // Cosmic Research, 2008, Vol. 46, No. 5, pp. 456–464. Original Russian Text ©, 2008, published in Kosmicheskie Issledovaniya, 2008, Vol. 46, No. 5, pp. 484–492.</ref><ref>Mel’nikov V.P., Smul’skii I.I., Smul’skii Ya.I., 2008. Compound modeling of Earth rotation and possible implications for interaction of continents // Russian Geology and Geophysics, 49, 851–858.</ref>, <ref>Grebenikov E.A., Smulsky J.J. Evolution of the Mars Orbit on Time Span in Hundred Millions Years / Reports on Applied Mathematics. Russian Academy of Sciences: A.A. Dorodnicyn Computing Center. Moscow. - 2007. 63 p.(In Russian - http://www.ikz.ru/~smulski/Papers/EvMa100m4t2.pdf ).</ref>, <ref>Melnikov V.P., Smulsky J.J.Astronomical theory of ice ages: New approximations. Solutions and challenges. - Novosibirsk: Academic Publishing House "GEO", 2009. - 84 p. The book in two languages. On the back side in Russian: Mel'nikov V.P., Smul'skiy I.I. Astronomicheskaya teoriya lednikovykh periodov: Novye priblizheniya. Reshennye i nereshennye problemy. - Novosibirsk: Akademicheskoe izdatel'stvo "Geo", 2009. - 98 stranitz.</ref>, <ref>Smulsky J.J. (book) Numerical modeling of evolution of the satellite of a rotating body / In Col. The Theoretical and Applied tasks of the Nonlinear Analysis. Russian Academy of Sciences: A.A. Dorodnicyn Computing Center. Moscow. - 2008. Pp. 100-117. (In Russian).</ref>


⚫
2) developed by mine a computer program Galactica.<ref>see 8 references of "1) differential equations"</ref>


3) the derived formulae for geometric transformations.<ref>see 8 references of "1) differential equations"</ref>


4) the compound model of body rotation.<ref>see 8 references of "1) differential equations"</ref>
⚫
2) developed by mine a computer program Galactica;


⚫
5) the action of the compound model of the body on a satellite of this compound body.<ref>see 8 references of "1) differential equations"</ref>
3) derived by mine the formulae for geometric transformations;


4) the compound model of body rotation;

⚫
5) the action of the compound model of the body on a satellite of this body.




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'=======================================================================<br />
'=======================================================================<br />
<br />
<br />
The Sun is pretty big,<ref>{{harvnb|Miller|2001|p=23}},{{harvnb|Brown|2000|p=46}}</ref>
but the Moon is not so big.<ref>{{harvnb|Brown|2000|p=46}}</ref>
The Sun is also quite hot.<ref>{{harvnb|Miller|2001|p=46}}</ref>
== Notes ==
{{reflist|2}}
== References ==
*{{citation | last=Brown | first=R | year=2000 | title=Size of the Moon | magazine=Scientific American | issue=78 | volume=51}}.
*{{cite book | ref=harv | last=Miller | first=E | year=2001 | title=The Sun | publisher=Academic Press }}







Revision as of 15:00, 23 December 2010

Welcome to the user page for editor David Charles Weber
Main interests:

Relativity theory

Vulcanism caused by meteor impacts.


=============================================================================
Below is my scratchpad for editing - this is a work in prgress, so please do not discuss this
================================================================================
D c weber (talk) 13:09, 23 December 2010 (UTC)
===============================================================================

Recent calculation of the Perihelion precession of Mercury
There have been more recent calculations of the motion of the planet Mercury. These calculations use the same multi-body calculation used in the past, and using the following:
The results of the components of the rotation of the perihelion of Mercury, obtained in [1], due to the following five parts:

1) differential equations of motion and their solution method. [1][2][3], [4][5], [6], [7], [8]

2) developed by mine a computer program Galactica.[9]

3) the derived formulae for geometric transformations.[10]

4) the compound model of body rotation.[11]

5) the action of the compound model of the body on a satellite of this compound body.[12]




but in addition the rotation of the mass of the Sun is accounted for using a non-field theory called “Theory of Interaction”. Using these calculations, there is almost no precession of Mercury's perihelion as shown in table 2.

Table 2 - Sources of the precession of perihelion for Mercury using the Sun's rotation
Amount (arcsec/Julian century) Explaination
Based on Observational Data
-5028.82 [13] Velocity of movement of vernal equinox point relative to motionless space
5603.0 [14] Velocity of perihelion rotation relative to the mobile vernal equinox point with including velocities changes of ecliptic and of Mercury orbit
582.53 [15] Velocity of perihelion rotation relative to motionless space
By results of interaction under the Newton law of gravity. Velocity of rotation of a perihelion relative to motionless space
530 – (table 1 above) Planets and the Sun interact as material points
582[16][17] Planets interact as material points, and the oblateness and rotation of the Sun is taken into account as compound model
Conclusions
0.53 [18] Discrepancy with just Newtonian Mechanics (calculated difference between Newton theory and actual precession)
42.98 ±0.04 [19][20] General relativity
42.45 Discrepancy with General Relativity (calculated difference between GR theory and actual precession)

'=======================================================================


notes==============================

  1. ^ Melnikov,V.P., Smulsky,J.J., Krotov O.I., Smulsky,L.J. Orbits of The Earth And The Sun And Possible Their Influences On of The Earth Cryosphere (Statement of a Problem And The First Results) // Cryosphere of the Earth. - 2000. - Vol. IV, No. 3, Pp. 3-13. (In Russian).
  2. ^ Melnikov V. P., Smulsky J.J. The Astronomical Factors Of Influence On The Earth's Cryosphere And The Problem Of Their Research // Earth Cryosphere, 2004 Vol. VIII, No. 1. Pp. 3-14. (<a href="http://www.smul1.newmail.ru/Russian1/IntSunSyst/OrZS.pdf">In Russian</a>).
  3. ^ Melnikov V. P., Smulsky J.J. The Astronomical Factors Of Influence On The Earth's Cryosphere And The Problem Of Their Research // Earth Cryosphere, 2004 Vol. VIII, No. 1. Pp. 3-14. (<a href="http://www.smul1.newmail.ru/Russian1/IntSunSyst/Astrfak7.htm">In Russian</a>).
  4. ^ Smulsky J.J., Optimization of Passive Orbit with the Use of Gravity Maneuver // Cosmic Research, 2008, Vol. 46, No. 5, pp. 456–464. Original Russian Text ©, 2008, published in Kosmicheskie Issledovaniya, 2008, Vol. 46, No. 5, pp. 484–492.
  5. ^ Mel’nikov V.P., Smul’skii I.I., Smul’skii Ya.I., 2008. Compound modeling of Earth rotation and possible implications for interaction of continents // Russian Geology and Geophysics, 49, 851–858.
  6. ^ Grebenikov E.A., Smulsky J.J. Evolution of the Mars Orbit on Time Span in Hundred Millions Years / Reports on Applied Mathematics. Russian Academy of Sciences: A.A. Dorodnicyn Computing Center. Moscow. - 2007. 63 p.(In Russian - http://www.ikz.ru/~smulski/Papers/EvMa100m4t2.pdf ).
  7. ^ Melnikov V.P., Smulsky J.J.Astronomical theory of ice ages: New approximations. Solutions and challenges. - Novosibirsk: Academic Publishing House "GEO", 2009. - 84 p. The book in two languages. On the back side in Russian: Mel'nikov V.P., Smul'skiy I.I. Astronomicheskaya teoriya lednikovykh periodov: Novye priblizheniya. Reshennye i nereshennye problemy. - Novosibirsk: Akademicheskoe izdatel'stvo "Geo", 2009. - 98 stranitz.
  8. ^ Smulsky J.J. (book) Numerical modeling of evolution of the satellite of a rotating body / In Col. The Theoretical and Applied tasks of the Nonlinear Analysis. Russian Academy of Sciences: A.A. Dorodnicyn Computing Center. Moscow. - 2008. Pp. 100-117. (In Russian).
  9. ^ see 8 references of "1) differential equations"
  10. ^ see 8 references of "1) differential equations"
  11. ^ see 8 references of "1) differential equations"
  12. ^ see 8 references of "1) differential equations"
  13. ^ J.L. Simon, P. Bretagnon, J. Chapront, et. al., “Numerical Expression for Precession Formulae and Mean Elements for the Moon and the Planets”, Astron. Astrophys, vol. 282, pp. 663-683 (1994).
  14. ^ J.L. Simon, P. Bretagnon, J. Chapront, et. al., “Numerical Expression for Precession Formulae and Mean Elements for the Moon and the Planets”, Astron. Astrophys, vol. 282, pp. 663-683 (1994).
  15. ^ J.L. Simon, P. Bretagnon, J. Chapront, et. al., “Numerical Expression for Precession Formulae and Mean Elements for the Moon and the Planets”, Astron. Astrophys, vol. 282, pp. 663-683 (1994).
  16. ^ Joseph J. Smulsky, "Gravitation, field, and rotation of Mercury Perihelion", pp.254-260 , vol. 5. No. 4, Proceedings of the NPA, Albuquerque, NM, USA, copy stored at http://www.ikz.ru/~smulski/Papers/08Smulsky2c.pdf.
  17. ^ Smulsky J.J., Compound model of rotation of the Sun and displacement of Mercury perihelion / The Fundamental and Applied Problems of the Mechanics: Proceeding of the VI All-Russian scientific Conference, devoted 130-th anniversary of Tomsk state university and 40-th anniversary NII of Applied Mathematics and the Mechanics of Tomsk State University. Tomsk, September 30 - October 2, 2008 - Tomsk: University Publishing House. – 2008 - Pp. 433-434; http://www.ikz.ru/~smulski/Papers/ModSun51c.pdf
  18. ^ Joseph J. Smulsky, "Gravitation, field, and rotation of Mercury Perihelion", pp.254-260 , vol. 5. No. 4, Proceedings of the NPA, Albuquerque, NM, USA, copy stored at http://www.ikz.ru/~smulski/Papers/08Smulsky2c.pdf
  19. ^ L. Iorio "On the possibility of measuring the solar oblateness and some relativistic effects from planetary ranging" (2004)
  20. ^ Myles Standish, Jet Propulsion Laboratory (1998)
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