Innovative methods of correlation and orbit determination for space debris
Abstract
We propose two algorithms to provide a full preliminary orbit of an Earthorbiting object with a number of observations lower than the classical methods, such as those by Laplace and Gauss. The first one is the Virtual debris algorithm, based upon the admissible region, that is the set of the unknown quantities corresponding to possible orbits for a given observation for objects in Earth orbit (as opposed to both interplanetary orbits and ballistic ones). A similar method has already been successfully used in recent years for the asteroidal case. The second algorithm uses the integrals of the geocentric 2body motion, which must have the same values at the times of the different observations for a common orbit to exist. We also discuss how to account for the perturbations of the 2body motion, e.g., the J _{2} effect.
 Publication:

Celestial Mechanics and Dynamical Astronomy
 Pub Date:
 June 2010
 DOI:
 10.1007/s1056901092746
 arXiv:
 arXiv:0911.0149
 Bibcode:
 2010CeMDA.107..169F
 Keywords:

 Space debris;
 Orbit determination;
 Admissible region;
 Keplerian integrals;
 Virtual debris algorithm;
 Radar attributable;
 Linkage;
 Physics  Space Physics
 EPrint:
 18 pages