Dependence on the observational time intervals and domain of convergence of orbital determination methods

Details Dependence on the observational time intervals and domain of convergence of orbital determination methods Dependence on the observational time intervals and domain of convergence of orbital determination methods

May 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cemda..95..327c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 95, Issue 1-4, pp. 327-344

Astronomy and Astrophysics

Astronomy

4

Orbital Determination, Gauss Method, Laplace Method, Mossotti Method

Scientific paper

In the framework of the orbital determination methods, we study some properties related to the algorithms developed by Gauss, Laplace and Mossotti. In particular, we investigate the dependence of such methods upon the size of the intervals between successive observations, encompassing also the case of two nearby observations performed within the same night. Moreover we study the convergence of Gauss algorithm by computing the maximal eigenvalue of the jacobian matrix associated to the Gauss map. Applications to asteroids and Kuiper belt objects are considered.

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