Jump to content

User:D c weber

From Wikipedia, the free encyclopedia
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

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 progress, 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 by Russian scientists. These calculations use the same multi-body calculations used in the past, but also using a eight step to calculate the precession of the perihelion of Mercury:

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

2) developed a computer program (Galactica).[9]

3) derived formulae for geometric transformations.[10]

4) velocity of perihelion rotation relative to motionless space. .[11][12]

5) exact solution of axisymmetrical problem of n-bodies. [13]

6) developed a compound model of body rotation (i.e. rotation of axisymmetrical masses).[14][15][16][17]

7) calculated the action of compound model of rotating mass body on a satellite.[18]

8) calculated the action of the Solar System on Mercury's orbit.[19]

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 [20] Velocity of movement of vernal equinox point relative to motionless space
5603.0 [21] Velocity of perihelion rotation relative to the mobile vernal equinox point with including velocities changes of ecliptic and of Mercury orbit
582.53 [22] 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
529.86 – [23](table 1 above) Planets and the Sun interact as material points
582[24] Planets interact as material points, and the oblateness and rotation of the Sun is taken into account as compound model
Conclusions
0.53 [25] Discrepancy with just Newtonian Mechanics (calculated difference between Newton theory and actual precession)
42.98 ±0.04 [26][27] General relativity
42.45 Discrepancy with General Relativity (calculated difference between GR theory and actual precession)

'=======================================================================
Therefore, the observed velocity of perihelion rotation relative to motionless space is a solely determined interaction using Newton's law of universal gravitation.



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. (In Russian).
  3. ^ 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.
  4. ^ 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.
  5. ^ 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 ).
  6. ^ 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. (aka J.J. Smulsky) Astronomicheskaya teoriya lednikovykh periodov: Novye priblizheniya. Reshennye i nereshennye problemy. - Novosibirsk: Akademicheskoe izdatel'stvo "Geo", 2009. - 98 stranitz.
  7. ^ 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).
  8. ^ 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 (in Russian)
  9. ^ see all 8 references of "1) differential equations"
  10. ^ 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).
  11. ^ Grebenikov E.A., Smulsky J.J., ibid
  12. ^ Smulsky J.J., Compound model of rotation of the Sun and displacement of Mercury perihelion, ibid
  13. ^ Smulsky,J.J. Axisymmetrical problem of gravitational interaction of N-bodies //Mathematical modelling. - 2003, Vol. 15, No 5, Pp. 27-36 (in Russian)
  14. ^ 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.
  15. ^ Melnikov V.P., Smulsky J.J.Astronomical theory of ice ages: New approximations. Solutions and challenges. - Novosibirsk: Academic Publishing House "GEO", 2009. - 844p. 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
  16. ^ Smulsky J.J. 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).
  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. (In Russian).
  18. ^ Smulsky J.J. 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).
  19. ^ 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.
  20. ^ 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).
  21. ^ 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).
  22. ^ 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).
  23. ^ Smulsky J.J., Compound model..., ibid
  24. ^ Smulsky J.J., Compound model...ibid
  25. ^ Smulsky J.J., Compound model of rotation of the Sun and displacement of Mercury perihelion , cited above
  26. ^ L. Iorio "On the possibility of measuring the solar oblateness and some relativistic effects from planetary ranging" (2004)
  27. ^ Myles Standish, Jet Propulsion Laboratory (1998)
Retrieved from "https://en.wikipedia.org/enwiki/w/index.php?title=User:D_c_weber&oldid=409682314"