A note on resonance in regular variables and averaging
Tóm tắt
A point relative to the application of the method of Hori to resonant systems is considered: For systems having one degree of freedom the topology of the phase plane of the auxiliary Hori's system is unaltered in the process of construction of a formal solution. The transformed Hamiltonian may not lead to singular points other than those included in the auxiliary Hori's Hamiltonian.
Tài liệu tham khảo
Ferraz-Mello, S.: 1984,Celes. Mech. (submitted). Papers I and II.
Jefferys, W.: 1966,Astron. J. 71, 306.
Henrard, J. and Lemaitre, A.: 1983,Celes. Mech. 30, 197.
Lemaitre, A.: 1984,Celes. Mech. 32, 109.
Sessin, W. and Ferraz-Mello, S.: 1984,Celes. Mech. 32, 307.