User:D c weber
Welcome to the user page for editor David Charles Weber
Main interests:
Relativity theory
Vulcanism caused by meteor impacts.
=============================================================================
- 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. 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).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).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.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.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 ).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.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).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)
2) developed a computer program (Galactica).see all 8 references of "1) differential equations"
3) derived formulae for geometric transformations.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).
4) velocity of perihelion rotation relative to motionless space. .Grebenikov E.A., Smulsky J.J., ibidSmulsky J.J., Compound model of rotation of the Sun and displacement of Mercury perihelion, ibid
5) exact solution of axisymmetrical problem of n-bodies. Smulsky,J.J. Axisymmetrical problem of gravitational interaction of N-bodies //Mathematical modelling. - 2003, Vol. 15, No 5, Pp. 27-36 (in Russian)
6) developed a compound model of body rotation (i.e. rotation of axisymmetrical masses).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.
7) calculated the action of compound model of rotating mass body on a satellite.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).
8) calculated the action of the Solar System on Mercury's orbit.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.
| class="wikitable" border="1" style="margin-left:auto; margin-right:auto;"
|+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 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). | Velocity of movement of vernal equinox point relative to motionless space |
| 5603.0 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). | Velocity of perihelion rotation relative to the mobile vernal equinox point with including velocities changes of ecliptic and of Mercury orbit |
| 582.53 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). | 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 – Smulsky J.J., Compound model..., ibid(table 1 above) | Planets and the Sun interact as material points |
| 582Smulsky J.J., Compound model...ibid | Planets interact as material points, and the oblateness and rotation of the Sun is taken into account as compound model |
| Conclusions | |
| 0.53 Smulsky J.J., Compound model of rotation of the Sun and displacement of Mercury perihelion , cited above | Discrepancy with just Newtonian Mechanics (calculated difference between Newton theory and actual precession) |
| 42.98 ±0.04 L. Iorio [http://arxiv.org/abs/gr-qc/0406041v4 "On the possibility of measuring the solar oblateness and some relativistic effects from planetary ranging"] (2004)Myles Standish, Jet Propulsion Laboratory (1998) | 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===============================
{{reflist}}