Titlebook: Generating Families in the Restricted Three-Body Problem; Michel Hénon Book 1997 Springer-Verlag Berlin Heidelberg 1997 astronomy.bifurcat

Apraxia

Trochlea

Definitions and Properties,We use the following more or less standard notations for some special functions:

Palliation

Bifurcation Orbits,We have now finished the inventory of generating orbits. Our next task is to find the ., which will play a fundamental role as explained in the Introduction.

决定性

大范围流行

一致性

Generating Families,We have now all the tools needed for our ultimate goal: tracing the path of generating families. We will reassemble in a different way the fragments found in Chap. 9, using the study of the branch junctions made in Chaps. 7 and 8.

gout109

Glossary of Harmonic Imaging Terms,) and Jacobi (1836). The most obvious reason for this continued interest is that the model of the restricted problem can serve as a first approximation in a number of real situations in astronomy (and more recently in astronautics). A deeper motivation comes probably from the fact that the general s

致命

W. Clauβ,V. Taenzer,G. Wisser,R. Tauberplete classification has been achieved only recently with the work of Bruno (1976; 1980a; 1994, Chap. VII) on asymmetric orbits. A review of the results up to 1975 can be found in Hagihara (1975, pp. 264 to 339).

皱痕

河流

https://doi.org/10.1007/978-3-642-68584-2es to a point. The period . can probably take any positive value (see below). Thus, generating orbits of the third species can be formally considered as forming a single one-parameter family, which we call the . This family is of a peculiar kind: all orbits are identical in shape since they reduce t