Determination of perturbed orbits from two positions and three observations

Details Determination of perturbed orbits from two positions and three observations Determination of perturbed orbits from two positions and three observations

Nov 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002esasp.500..339s&link_type=abstract

In: Proceedings of Asteroids, Comets, Meteors - ACM 2002. International Conference, 29 July - 2 August 2002, Berlin, Germany. Ed

Computer Science

Orbit Determination

Scientific paper

On the basis of the theory of intermediate orbits developed earlier by the author, a new approach to the solution of the classical problems of orbit determination from two position vectors and from three complete measurements of angular coordinates of small celestial body is suggested. The algorithm for solving the second problem includes the solution of the first problem and can be considered as a generalization of the well-known Lagrange-Gauss method. The approach suggested enables taking into account the main part of perturbations in small body motion. By the example of the minor planet 1566 Icarus the comparison of the results of using the Lagrange-Gauss method and the new method has been performed. The application of the method developed is especially advantageous in case when we have high accurate observations, which span short orbit arcs.

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