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.
Set-theoretical aspects of the restricted problem of three bodies
β Scribed by Rudolf Kurth
- Publisher
- Springer
- Year
- 1971
- Tongue
- English
- Weight
- 516 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0003-9527
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## Abstract We show that the planar circular restricted threeβbody problem is of restricted contact type for all energies below the first critical value (action of the first Lagrange point) and for energies slightly above it. This opens up the possibility of using the technology of contact topology
In this paper we consider the restricted problem of three axisymmetric rigid bodies under the central forces. The collinear and triangular equilibrium solutions are obtained. Finally a numerical study of the influence of the non-sphericity and the rotation of the primaries in the location of the lib