Elliptic-type motion in Fock's gravitational field

Astronomy and Astrophysics – Astronomy

Scientific paper

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Elliptical Orbits, Gravitation Theory, Perturbation Theory, Euler Equations Of Motion, Kepler Laws, Orbit Perturbation, Orbital Elements, Relativistic Effects

Scientific paper

The elliptic-type motion in the gravitational field found by Fock as an exact solution of Einstein's vacuum equations in the case of spherical symmetry (solution called here Fock's gravitational field) is studied by means of a classic method based on the perturbation theory. Regarding the deviations of the orbit from a Keplerian orbit as perturbations, the first and second order variations of the Keplerian orbital elements over one nodal period as well as those of the nodal period itself are determined.

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