✦ LIBER ✦

Stability of the periodic solutions of the restricted three-body problem representing analytic continuations of Keplerian rectilinear periodic motions

✍ Scribed by Abdul Ahmad

Publisher: Springer Netherlands
Year: 1995
Tongue: English
Weight: 478 KB
Volume: 61
Category: Article
ISSN: 1572-9478
DOI: 10.1007/bf00048514

No coin nor oath required. For personal study only.

✦ Synopsis

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 found that the isoperiodic solutions are stable and all other solutions are unstable.

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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.