Abstract
A simple analysis of tadpole and horseshoe orbits is performed using a new perturbation technique. The first-order results are presented explicitely, extension to any perturbation order is delineated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Brown, E. W.: 1911, 'On a New Family of Periodic Orbits in the Problem of Three Bodies', Monthly Notices of RAS 71, 438–454.
Spirig, F. and Waldvogel, J.: 1985, Lectures on Celestial Mechanics, Springer-Verlag.
Stiefel, E. L. and Scheifele, G.: 1971, Linear and Regular Celestial MechanicsSpringer-Verlag.
Varadi, F., Barre, De la, Kaula, W. M. and Ghil, M.: 1995, 'Singularly Weighted Symplectic Forms and Applications to Asteroid Motion', Celest. Mech. Dynam. Astron. 62, 23–41.
Vrbik, J.: 1995, 'Perturbed Kepler Problem in Quaternionic Form', J. Phys. A 28, 6245–6252.
Vrbik, J.: 1997, 'Oblateness Perturbations to Fourth Order', Monthly Notices of RAS 291, 65–70.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Vrbik, J. Novel Analysis of Tadpole and Horseshoe Orbits. Celestial Mechanics and Dynamical Astronomy 69, 283–291 (1997). https://doi.org/10.1023/A:1008252120558
Issue Date:
DOI: https://doi.org/10.1023/A:1008252120558