Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982a%26a...105...42l&link_type=abstract
Astronomy and Astrophysics, vol. 105, no. 1, Jan. 1982, p. 42-52. In French.
Astronomy and Astrophysics
Astrophysics
23
Celestial Mechanics, Orbit Perturbation, Planetology, Relativity, Solar Orbits, Astronomical Coordinates, Gravitational Fields, Mercury (Planet), Newton Theory, Relativistic Effects, Schwarzschild Metric, Planets, Perturbations, Motion, Gravitational Fields, Coordinates, Data, Celestial Mechanics, Acceleration, Mathematical Models, Mercury (Planet), Computer Techniques
Scientific paper
The relativistic perturbations in the osculating elements of all the planets, due to the theory of General Relativity, are presented where only the gravitational field of the sun is taken into account and the effects are calculated in the post-Newtonian approximation. The relativistic effects are calculated with the requirement that an accuracy of 5 x 10 to the -12th UA be kept over an interval of 1000 years, and are expressed in series form depending on the dynamical time in the isotropic coordinate and standard coordinate systems. The method uses equations derived from the equations of Gauss for the relativistic acceleration. A theory of the motion of Mercury is derived through the addition of the relativistic perturbations to the third-order Newtonian theory of Bretagnon (1981). It is noted that the computer programs used allow any values for the physical parameters Gamma and Beta of the Eddigton-Robertson metric.
Bretagnon Pierre
Lestrade Jean-Francois
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