Elliptic-type motion in a Schwarzschild - de Sitter gravitational field.

Mathematics – Logic

Scientific paper

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Scientific paper

The elliptic-type motion in a Schwarzschild - de Sitter gravitational field is being studied by a classic method, considering separately the contribution of the Schwarzschild space-time local deformation and that of the cosmological background as perturbing forces. The first-order variations of the orbital elements over one nodal period (and the second-order changes only for the Schwarzschild "force") as well as those of the nodal period itself are determined. The domain in which the used methods are applicable (estimated for a black hole of 10 solar masses) results to be large enough to allow investigations in realistic astronomical situations.

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