Precession of the perihelion of Mercury's orbit

Details Precession of the perihelion of Mercury's orbit Precession of the perihelion of Mercury's orbit

Aug 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005amjph..73..730s&link_type=abstract

American Journal of Physics, Volume 73, Issue 8, pp. 730-734 (2005).

Physics

9

Educational Aids, Mercury, Celestial Mechanics, Orbit Determination And Improvement

Scientific paper

The precession of the perihelion of Mercury's orbit is calculated using the Laplace-Runge-Lenz vector. An approximate calculation that assumes the orbits of the perturbing planets are circular and coplanar with Mercury's orbit is within 4.4% of the correct value. A complete calculation that uses the correct elliptical orbit and orientation for each of the perturbing planets is then presented. The precession due to a perturbing planet is proportional to the mass of the planet and is approximately inversely proportional to the cube of its semimajor axis.

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