Apollonius coordinates, theN-body problem, and continuation of periodic solutions
โ Scribed by Kenneth R. Meyer
- Book ID
- 112469844
- Publisher
- Springer US
- Year
- 1991
- Tongue
- English
- Weight
- 701 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1040-7294
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The periodic solutions of the restricted three-body problem representing analytic continuations of Keplerian rectilinear periodic motions are well known (Kurcheeva, 1973). Here the stability of these solutions are examined by applying Poincar6's characteristic equation for periodic solutions. It is
This paper represents results obtained under the sponsorship of the Army Research Office, US. Army, Contract No. DA-ARO-(D)-31-124-G159. Reproduction in whole or in part is permitted for any purpose of the United States Government. The integral is also known as the Jacobi integral.
A numerical study of asymmetric periodic solutions of the planar general three body problem is presented. The equations of variation are integrated numerically and the algorithms for the numerical determination of families of such periodic orbits are given. These orbits refer to a rotating frame of