Orbits of two-body problem from the Lenz vector

Abstract

The orbits with reference to the center of mass of two bodies under mutual inverse square law interaction are obtained by use of the eccentricity vector which is equivalent to the Lenz vector within a numerical factor. The parameters and orientation of the orbits are given.

An investigation of satellite orbits in the Vinti potential using the Runge-Lenz vector

“…- 11) We now have at our disposal the two expressions (7) and (11) for A . Following [2], we compare them and obtain, at second order in klr, Bo; + 6":…”