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
โฆ LIBER โฆ
The rectilinear restricted problem of three bodies
โ Scribed by Joerg Waldvogel
- Publisher
- Springer Netherlands
- Year
- 1973
- Tongue
- English
- Weight
- 705 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1572-9478
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In this paper the circular planar restricted problem of three axisymmetric ellipsoids S,(i = 1,2,3), such that their equatorial planes coincide with the orbital plane of the three centres of masses. be considered. The equations of motion of infinitesimal body Sa be obtained in the polar coordmates.