Generalized eccentric vs. true anomaly parametrizations in the perturbed Keplerian motion

Details Generalized eccentric vs. true anomaly parametrizations in the perturbed Keplerian motion Generalized eccentric vs. true anomaly parametrizations in the perturbed Keplerian motion

2006-10-10

arxiv.org/abs/astro-ph/0610285v1

Publ.Astron.Dep.Eotvos Univ., PADEU 17, 63-69 (2006)

Astronomy and Astrophysics

Astrophysics

7 pages, in Proceedings of the FIKUT4 Conference

Scientific paper

The angular and the radial parts of the dynamics of the perturbed Kepler motion are separable in many important cases. In this paper we study the radial motion and its parametrizations. We develop in detail a generalized eccentric anomaly parametrization and a procedure of computing a generic class of integrals based on the residue theorem. We apply the formalism to determine various contributions to the luminosity of a compact binary.

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