Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aj....116.3038s&link_type=abstract
The Astronomical Journal, Volume 116, Issue 6, pp. 3038-3039.
Astronomy and Astrophysics
Astronomy
1
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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