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Title of Journal: Celest Mech Dyn Astr

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Abbravation: Celestial Mechanics and Dynamical Astronomy

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Springer Netherlands

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1572-9478

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Single lunation Emphasis Type="Italic"N/Emphasi

Authors: Leif Kahl Kristensen
Publish Date: 2009/09/22
Volume: 105, Issue: 4, Pages: 275-
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Abstract

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 4observation 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 Nobservation method is a great simplification of the classical 3observation orbit followed by a differential correction by N observations


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