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- Title
Single lunation N-observation orbits.
- Authors
Leif Kristensen
- Abstract
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 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.
- Subjects
LUNAR transient phenomena; ASTRONOMICAL observations; LEAST squares; MEASUREMENT errors; POLYNOMIALS; COSMOLOGICAL distances; LUNAR orbit
- Publication
Celestial Mechanics & Dynamical Astronomy, 2009, Vol 105, Issue 4, p275
- ISSN
0923-2958
- Publication type
Article
- DOI
10.1007/s10569-009-9226-1