A New Anomaly of Keplerian Motion

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Stellar Dynamics

Scientific paper

A new anomaly of Keplerian motion, projective anomaly, is derived. The anomaly is derived from a resolution of one of the singularities of Keplerian motion from the viewpoint of projective geometry. Using the projective anomaly, every kind of Keplerian orbit-circular, elliptical, parabolic, hyperbolic, and two-body collisional linear orbit-can be treated in a unified way as a quadratic curve in the projective space in two dimensions. The projective anomaly is further shown to be an instance of a generalized anomaly.

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