Revision as of 13:46, 23 December 2010

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

Relativity theory

Vulcanism caused by meteor impacts.

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

2) developed by mine a computer program Galactica;

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.

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 ^[3]	Velocity of movement of vernal equinox point relative to motionless space
5603.0 ^[4]	Velocity of perihelion rotation relative to the mobile vernal equinox point with including velocities changes of ecliptic and of Mercury orbit
582.53 ^[5]	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^[6]^[7]	Planets interact as material points, and the oblateness and rotation of the Sun is taken into account as compound model
	Conclusions
0.53 ^[8]	Discrepancy with just Newtonian Mechanics (calculated difference between Newton theory and actual precession)
42.98 ±0.04 ^[9]^[10]	General relativity
42.45	Discrepancy with General Relativity (calculated difference between GR theory and actual precession)

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The Sun is pretty big,^[11] but the Moon is not so big.^[12] The Sun is also quite hot.^[13]

Notes

^ 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).
^ 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).
^ 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).
^ 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).
^ 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.
^ 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
^ 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
^ L. Iorio "On the possibility of measuring the solar oblateness and some relativistic effects from planetary ranging" (2004)
^ Myles Standish, Jet Propulsion Laboratory (1998)
^ Miller 2001, p. 23,Brown 2000, p. 46
^ Brown 2000, p. 46
^ Miller 2001, p. 46

References

Brown, R (2000), "Size of the Moon", Scientific American, vol. 51, no. 78.
Miller, E (2001). The Sun. Academic Press. {{cite book}}: Invalid |ref=harv (help)

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] 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).

[4] 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).

[5] 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).

[6] 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.

[7] 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

[8] 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

[9] L. Iorio "On the possibility of measuring the solar oblateness and some relativistic effects from planetary ranging" (2004)

[10] Myles Standish, Jet Propulsion Laboratory (1998)

[11] Miller 2001, p. 23,Brown 2000, p. 46

[12] Brown 2000, p. 46

[13] Miller 2001, p. 46

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 <br />================================================================================<br />[[User:D c weber|D c weber]] ([[User talk:D c weber|talk]]) 13:09, 23 December 2010 (UTC)
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 '''Recent calculation of the Perihelion precession of Mercury'''
+<br />
 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:<br />