Innovative methods of correlation and orbit determination for space debris
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 J2 effect.
KeywordsSpace debris Orbit determination Admissible region Keplerian integrals Virtual debris algorithm Radar attributable Linkage
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- Gronchi, G.F., Dimare, L., Milani, A.: Orbit determination with the two-body integrals. Celest. Mech. Dyn. Astron. (2010). doi:10.1007/s10569-010-9271-9
- Maruskin, J.M., Scheeres, D.J.: Metrics on the space of bounded Keplerian orbits and space situational awareness. In: Proceedings of the 48th IEEE Conference and Decision Control, pp. 5912–5917 (2009)Google Scholar
- Milani, A., Gronchi, G.F., Farnocchia, D., Tommei, G., Dimare, L.: Optimization of space surveillance resources by innovative preliminary orbit methods. In: Proceedings of the Fifth European Conference on Space Debris. 30 March–2 April 2009, Darmstadt, Germany, SP-672 on CD-RomGoogle Scholar
- Roy A.E.: Orbital motion. Institute of Physics Publishing, London (2005)Google Scholar
- Tommei, G., Milani, A., Farnocchia, D., Rossi, A.: Correlation of space debris observations by the virtual debris algorithm. In: Proceedings of the Fifth European Conference on Space Debris. 30 March–2 April 2009, Darmstadt, Germany, SP-672 on CD-RomGoogle Scholar