An Addendum to the Damour and Deruelle's Solution of the Post-Newtonian Two-Body Problem

Details An Addendum to the Damour and Deruelle's Solution of the Post-Newtonian Two-Body Problem An Addendum to the Damour and Deruelle's Solution of the Post-Newtonian Two-Body Problem

May 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cemda..89..365p&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 89, Issue 4, p. 365-381 (2004).

Astronomy and Astrophysics

Astronomy

2

Damour And Deruelle'S Solution, Post-Newtonian Motion, Post-Newtonian Two-Body Problem, Relativistic Celestial Mechanics

Scientific paper

A complement to the the analytical solution given by Damour and Deruelle (D&D) in order to solve the differential equations that describe the conic-like and rectilinear post-Newtonian two-body problem is presented. We show the geometric relation between the eccentric and true anomalies for the elliptic-like and hyperbolic-like cases and expressions for their velocities are obtained. A post-Newtonian version of the Lambert's theorem is shown.

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