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Bayesian statistical approach to binary asteroid orbit determination

Published online by Cambridge University Press:  01 March 2016

Irina D. Kovalenko ,
Radu S. Stoica ,
N. V. Emelyanov ,
A. Doressoundiram  and
D. Hestroffer
Irina D. Kovalenko
Affiliation:
IMCCE, Observatoire de Paris, PSL Research University, UPMC univ. Paris 06, univ. Lille1, CNRS, 77 av. Denfert-Rochereau, 75014, Paris, France email: [email protected] LESIA, Observatoire de Paris, PSL Research University, CNRS, Sorbonne Universités, UPMC Univ. Paris 06, Univ. Paris Diderot, Sorbonne Paris Cité, 5 place Jules Janssen, 92195 Meudon, France
Radu S. Stoica
Affiliation:
IMCCE, Observatoire de Paris, PSL Research University, UPMC univ. Paris 06, univ. Lille1, CNRS, 77 av. Denfert-Rochereau, 75014, Paris, France email: [email protected] Université de Lille, Laboratoire Paul Painlevé, 59655 Villeneuve d'Ascq Cedex, France
N. V. Emelyanov
Affiliation:
IMCCE, Observatoire de Paris, PSL Research University, UPMC univ. Paris 06, univ. Lille1, CNRS, 77 av. Denfert-Rochereau, 75014, Paris, France email: [email protected] M. V. Lomonosov Moscow State Univrsity - Sternberg Astronomical Institute, 13 Universitetskij prospect, 119992 Moscow, Russia
A. Doressoundiram
Affiliation:
LESIA, Observatoire de Paris, PSL Research University, CNRS, Sorbonne Universités, UPMC Univ. Paris 06, Univ. Paris Diderot, Sorbonne Paris Cité, 5 place Jules Janssen, 92195 Meudon, France
D. Hestroffer
Affiliation:
IMCCE, Observatoire de Paris, PSL Research University, UPMC univ. Paris 06, univ. Lille1, CNRS, 77 av. Denfert-Rochereau, 75014, Paris, France email: [email protected]
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Abstract

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The problem of binary asteroids orbit determination is of particular interest, given knowledge of the orbit is the best way to derive the mass of the system. Orbit determination from observed points is a classic problem of celestial mechanics. However, in the case of binary asteroids, particularly with a small number of observations, the solution is not evident to derive. In the case of resolved binaries the problem consists in the determination of the relative orbit from observed relative positions of a secondary asteroid with respect to the primary. In this work, the problem is investigated as a statistical inverse problem. Within this context, we propose a method based on Bayesian modelling together with a global optimisation procedure that is based on the simulated annealing algorithm.

Keywords

celestial mechanicsmethods: statisticalminor planetsasteroids
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 10 , Issue S318: Asteroids: New Observations, New Models , August 2015 , pp. 244 - 249
Copyright
Copyright © International Astronomical Union 2016 

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