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Numerical mean elements for asteroid orbits

Published online by Cambridge University Press:  25 May 2016

Anne Lemaitre
Anne Lemaitre*
Affiliation:
Département de Mathematique - FUNDP 8 Rempart de la Vierge B5000 Namur Belgique E-mail: alemaitr@math.fundp.ac.be

Extract

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In the context of the search of asteroid families (i.e. identification of minor planets as potential fragments of an old bigger body), the calculation of proper elements plays an important role. They are quasi-invariants of the motion, obtained by a double averaging process of the restricted N-body problem; firstly the osculating elements are averaged over the short periodic terms (namely the longitudes of the asteroid and of the perturbing planets) so to get the mean elements, and secondly, the mean elements are averaged over the long periodic terms (longitudes of the pericenters and of the nodes of the asteroid and of the perturbing planets) to obtain the proper elements.

Information

Type
Part IV - Asteroids: Theory and Ephemerides
Information
Symposium - International Astronomical Union , Volume 172: Dynamics, Ephemerides and Astrometry of the Solar System , 1996, pp. 165 - 170
Copyright
Copyright © Kluwer 1996 

References

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