ISSN:
1572-9478
Keywords:
Stability
;
Krein's signatures
;
equilibrium points
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We consider the linear stability of the equilibrium points of the generic rotating potentials U(r), U(r, θ), U(r, φ and U(r, θ, φ. The stability analysis is performed using the concept of Krein's signature. This signature is calculated for all eigenvalues of the above potentials. Thereby, the Lagrangian points of the restricted three-body problem and the synchronous satellites of oblate and prolate planets are also studied. We find also the new positions of the eigenvalues for perturbations of the original L 4 and L 5 points of Mars, Jupiter, Saturn, Uranus and Neptune. Finally, we study the problem with the mass ratio µ close to the critical value and the stability of geostationary satellites perturbed by the Moon.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00051894
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