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
Equilibrium solutions of the restricted problem of 2 + 2 axisymmetric rigid bodies
β Scribed by S. M. El-Shaboury
- Publisher
- Springer Netherlands
- Year
- 1991
- Tongue
- English
- Weight
- 311 KB
- Volume
- 50
- Category
- Article
- ISSN
- 1572-9478
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β¦ Synopsis
The restricted problem of 2 + 2 homogenous axisymmetric ellipsoids such that their equatorial planes coincide with the orbital plane of the centers of mass is considered. The equilibrium solutions of this problem are shown to exist. Six of these solutions are located about the collinear points of the restricted problem of three axisymmetric ellipsoids. A special case of this problem is studied and sixteen solutions are found in the neighborhood of the triangular Lagrangian points.
π SIMILAR VOLUMES
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.
The problem of the motion of a heavy rigid body is considered in the so-called "restricted" formulation, which is obtained on the assumption that two dimensions of the body, which we will call its "width" and "thickness", are considerably less than the third dimension, the "length" of the body. They