An Addendum to the Damour and Deruelle's Solution of the Post-Newtonian Two-Body Problem |
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| Authors: | JG Portilla F Villareal |
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| Abstract: | 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.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | Damour and Deruelle's solution post-Newtonian motion post-Newtonian two-body problem relativistic celestial mechanics |
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