Innovative methods of correlation and orbit determination for space debris Authors Davide Farnocchia Department of Mathematics University of Pisa Giacomo Tommei Department of Mathematics University of Pisa Andrea Milani Department of Mathematics University of Pisa Alessandro Rossi Original Article

First Online: 28 April 2010 Received: 30 October 2009 Revised: 22 February 2010 Accepted: 22 March 2010 DOI :
10.1007/s10569-010-9274-6

Cite this article as: Farnocchia, D., Tommei, G., Milani, A. et al. Celest Mech Dyn Astr (2010) 107: 169. doi:10.1007/s10569-010-9274-6
Abstract
We propose two algorithms to provide a full preliminary orbit of an Earth-orbiting 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 2-body 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 2-body motion, e.g., the J
_{2} effect.

Keywords
Space debris
Orbit determination
Admissible region
Keplerian integrals
Virtual debris algorithm
Radar attributable
Linkage

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