Newtonian N-body calculations of the advance of Mercury's perihelion

Details Newtonian N-body calculations of the advance of Mercury's perihelion Newtonian N-body calculations of the advance of Mercury's perihelion

Apr 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.213..657n&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 213, April 1, 1985, p. 657-663.

Statistics

Computation

5

Celestial Mechanics, Many Body Problem, Mercury (Planet), Orbit Perturbation, Perihelions, Relativity, Computational Astrophysics

Scientific paper

The rate of advance of the perihelion of planet Mercury is calculated by a numerical integration of the Newtonian equations of motion and gravitation. It is found that the rate fluctuates but has a steady trend of ≡528.95 arcsec cy-1 over a long-term period of about five centuries. Taking into account the observed precession the authors therefore find that the general relativistic correction explains all but about 2.3 arcsec cy-1 of the discrepancy. It may be necessary to invoke another cause like solar oblateness to account for the residual effect.

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