Generating Families in the Restricted Three Body Problem is popular PDF and ePub book, written by Michel Henon in 2003-07-01, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Generating Families in the Restricted Three Body Problem can be Read Online from any device for your convenience.
Generating Families in the Restricted Three Body Problem Book PDF Summary
The classical restricted problem of three bodies is of fundamental importance for its applications to astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. A central role is played by periodic orbits, of which a large number have been computed numerically. In this book an attempt is made to explain and organize this material through a systematic study of generating families, which are the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. The most critical part is the study of bifurcations, where several families come together and it is necessary to determine how individual branches are joined. Many different cases must be distinguished and studied separately. Detailed recipes are given. Their use is illustrated by determining a number of generating families, associated with natural families of the restricted problem, and comparing them with numerical computations in the Earth-Moon and Sun-Jupiter case.
Detail Book of Generating Families in the Restricted Three Body Problem PDF
- Author : Michel Henon
- Release : 01 July 2003
- Publisher : Springer Science & Business Media
- ISBN : 9783540696506
- Genre : Science
- Total Page : 282 pages
- Language : English
- PDF File Size : 18,8 Mb
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