Single lunation N-observation orbits

Astronomy and Astrophysics – Astronomy

Scientific paper

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Asteroids, Orbit Determination, Data Reduction Techniques, Linking

Scientific paper

Initial orbit determination by least squares of N observations is essentially a linear problem if the coordinates x 0 and x 1 at two standard epochs are used as elements. The orbit of a main belt object is approximated within the observational errors by a third degree polynomial during a month. A 4-observation orbit is useful for the initial linking between two nights. Parallax is treated rigorously and future simultaneous space and Earth based observations determine the critical distance directly. The N-observation method is a great simplification of the classical 3-observation orbit followed by a differential correction by N observations.

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