The true and eccentric anomaly parametrizations of the perturbed Kepler motion

Details The true and eccentric anomaly parametrizations of the perturbed Kepler motion The true and eccentric anomaly parametrizations of the perturbed Kepler motion

1999-08-05

arxiv.org/abs/gr-qc/9908015v1

Astrophys.J.Suppl. 126 (2000) 79-84

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, to appear in ApJ Suppl

Scientific paper

10.1086/313290

The true and eccentric anomaly parametrizations of the Kepler motion are generalized to quasiperiodic orbits, by considering perturbations of the radial part of the kinetic energy in a form of a series of negative powers of the orbital radius. A toolchest of methods for averaging observables as functions of the energy $E$ and angular momentum $L$ is developed. A broad range of systems governed by the generic Brumberg force and recent applications in the theory of gravitational radiation involve integrals of these functions over a period of motion. These integrals are evaluated by using the residue theorem. In the course of this work two important questions emerge: (1) When does the true and eccentric anomaly parameter exist? (2) Under what circumstances and why are the poles in the origin? The purpose of this paper is to find the answer to these queries.

Affiliated with

Also associated with

No associations

Rating

The true and eccentric anomaly parametrizations of the perturbed Kepler motion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The true and eccentric anomaly parametrizations of the perturbed Kepler motion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The true and eccentric anomaly parametrizations of the perturbed Kepler motion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-549351