An efficient method for the evaluation of secular effects in the perturbed keplerian motion

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Binary systems subject to generic perturbations evolve on quasiperiodic orbits. We derive the most generic class of perturbations, which allows the evaluations of secular effects via generalized complex true and eccentric anomaly parameters, by use of the residue theorem. Such perturbations include both the generic Brumberg force and various linear contributions to the conservative dynamics of compact binaries, up to the second post-Newtonian order. As an example, we compute the self-spin contribution to the luminosity due to gravitational radiation of a compact binary consisting of Galactic black holes, the most important type of source for LISA. This translates to simply calculating the residue of the instantaneous energy loss in the origin of the complex parameter plane, which illustrates the power of the presented method.

Original languageEnglish
Pages (from-to)286-291
Number of pages6
JournalAstrophysical Journal, Supplement Series
Volume167
Issue number2
DOIs
Publication statusPublished - Dec 1 2006

Keywords

  • Binaries: close
  • Celestial mechanics

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

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