Abstract
The solution by Sessin and Ferraz-Mello (Celes. Mech. 32, 307–332) of the Hori auxiliary system for the motion of two planets with periods nearly commensurate in the ratio 2∶1 is considerably simplified by the introduction of canonical variables. An analogous canonical transformation simplifies the elliptic restricted problem.
Similar content being viewed by others
References
Giffen, R.: 1973,Astron. Astrophys. 23, 387.
Hagihara, Y.: 1971,Celestial Mechanics, MIT Press, Cambridge, Massachusetts.
Leverrier, U.-J.: 1855,Ann. Obs. Paris, Mém,1.
Message, P. J.: 1966, inThe Theory of Orbits in the Solar System and in Stellar Systems, G. Contopoulos (ed.), Academic Press, New York, p. 197.
Poincaré, H.: 1902,Bull. Astron. 19, 289.
Schubart, J.: 1968,Astron. J. 73, 99.
Sessin, W. and Ferraz-Mello, S.: 1984,Celest. Mech. 32, 307.
Wisdom, J.: 1983,Icarus 56, 51.
Wisdom, J.: 1985,Icarus 63, 272.
Woltjer, J.: 1923,Bull. Astron. Inst. Neth. 1, 219.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wisdom, J. Canonical solution of the two critical argument problem. Celestial Mechanics 38, 175–180 (1986). https://doi.org/10.1007/BF01230429
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01230429