Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...290..335m&link_type=abstract
Astronomy and Astrophysics 290, 335-339 (1994)
Astronomy and Astrophysics
Astrophysics
5
Celestial Mechanics, Relativity
Scientific paper
The equations of motion for the relativistic restricted three-body problem are derived using the post-Newtonian approximation of relativity. It turns out that they obey the same symmetry relations as the classical eqations and that they depend - as second parameter besides the mass ratio μ - on (M)/(R), on the ratio of the total mass of the system and the separation of the primaries. This parameter (M)/(R) is thus a kind of measure for the role of relativistic effects in the system (the classical case is (M)/(R)=0). Finally, the model is applied to the computation of the advance of Mercury's perihelion in the Solar system and leads to results compatible with published data.
Dvorak Rudolf
Maindl T. I.
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