A Projective Approach to Orbit Determination from Three Sight-Lines

Astronomy and Astrophysics – Astronomy

Scientific paper

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Two-Body Problem, Orbit Determination, Angles Only, Projective Geometry, Homogeneous Coordinates

Scientific paper

Concepts from projective geometry are used to provide a coherent framework for the determination of orbits from observation data comprising lines of sight at three known times. A novel way of presenting the results in a finite diagram is introduced, The effectiveness of the approach is demonstrated by an example, using a simple spreadsheet. A computer-graphic implementation is recommended.

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