Berlin 2005 – scientific programme

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GR: Gravitation und Relativitätstheorie

GR 9: Gravitationswellen – Mathematisch-Numerische Grundlagen

GR 9.4: Talk

Saturday, March 5, 2005, 12:00–12:15, TU BH262

Analytic solution to post-Newtonian accurate ‘Kepler Equation’ — •Maria Haney and Achamveedu Gopakumar — Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany

Keplerian type parametric solution to post-Newtonian (PN) accurate equations of motion for compact binaries will be required to realize gravitational wave astronomy.

We derive analytic solution to the PN accurate ‘Kepler Equation’ present in the third post-Newtonian accurate generalized quasi-Keplerian parametrization describing the orbital motion of a compact binary moving in an eccentric orbit, recently obtained by Memmesheimer, Gopakumar, and Schäfer.

Possible applications of our results will also be discussed.