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Numerical mean elements for asteroid orbits

Published online by Cambridge University Press:  25 May 2016

Anne Lemaitre*
Affiliation:
Département de Mathematique - FUNDP 8 Rempart de la Vierge B5000 Namur Belgique E-mail: [email protected]

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.

Type
Part IV - Asteroids: Theory and Ephemerides
Copyright
Copyright © Kluwer 1996 

References

Carpino, M., Milani, A., Nobili, A.: 1987, “Long term numerical integrations and synthetic theories for the motion of the outer planets”, Astron. Astroph., 181, 182194 Google Scholar
Everhart, E.: 1985, “An efficient integrator that uses Gauss-Radau spacings”, Dynamics of Comets: their origin and evolution, Eds Carusi, A. and Valsecchi, G.B., D. Reidel, Dordrecht, 185202 Google Scholar
Knežević, Z., Froeschlé, Ch., Lemaitre, A., Milani, A., Morbidelli, A.: 1994, “Comparison of two theories of asteroid proper elements”, Astron. Astroph., 293, 605612 Google Scholar
Kozai, Y.: 1962, “Secular Perturbations of asteroids with high inclinations and eccentricities”, Astron. J., 67, 591598 Google Scholar
Lemaitre, A., Morbidelli, A.: 1994, “Calculation of Proper Elements for high inclined asteroidal orbits”, Celest. Mech., 60, 2956 CrossRefGoogle Scholar
Milani, A., Knežević, Z.: 1990, “Secular Perturbation Theory and Calculation of Asteroid Proper Elements”, Celest. Mech. and Dyn. Astr., 49, 347411 Google Scholar
Milani, A., Knežević, Z.: 1992, “Asteroid proper elements and secular resonances”, Icarus, 98, 211232 Google Scholar
Milani, A., Knežević, Z.: 1994, “Asteroid proper elements and the dynamical structure of the asteroid belt”, Icarus, 107, 219254 Google Scholar