Abstract
Morphogenetic analysis of the orbits of the ideal first-order resonance problem in the neighbourhood of the origin. It is shown that for problems involving central and near-central resonance it is necessary to consider as parameter the cube root of the perturbation instead of the square root used in classical non-central resonance problems.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Andoyer, H.: 1903,Bull. Astron. 20, 321.
Aoki, S.: 1963,Astron. J. 68, 365.
Garfinkel, B.: 1966,Astron. J. 71, 657.
Garfinkel, B.: 1982,Celes. Mech. 28, 275.
Henrard, J.: 1974,Celes. Mech. 10, 437.
Henrard, J. and Lemaître, A.: 1983,Celes. Mech. 30, 197.
Jefferys, W.H.: 1966,Astron. J. 71, 306.
Jupp, A.H.: 1980,Celes. Mech. 21, 361.
Message, P.J.: 1966, in G. Contopolos (ed.),The Theory of Orbits in the Solar System and in Stellar Systems, Academic Press, New York, p. 197.
Poincaré, H.: 1893,Les Méthodes Nouvelles de la Mécanique Céleste, vol. II, Gauthier-Villars, Paris.
Sessin, W. and Ferraz-Mello, S.: 1984,Celes. Mech. 32, 307.
Thom, R.: 1975,Structural Stability and Morphogenesis, W.A. Benjamin, Reading.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ferraz-Mello, S. Resonance in regular variables I: Morphogenetic analysis of the orbits in the case of a first-order resonance. Celestial Mechanics 35, 209–220 (1985). https://doi.org/10.1007/BF01227653
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01227653