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.
The orientation and parameters of the orbit of a satellite under an inverse square law of force are obtained by use of the eccentricity vector, equivalent to the Lenz vector, from a typical set of initial conditions.
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