Spectral stability of relative equilibria

Details Spectral stability of relative equilibria Spectral stability of relative equilibria

Sep 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..48..267h&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 48, no. 3, 1990, p. 267-288.

Astronomy and Astrophysics

Astronomy

11

Circular Orbits, Geosynchronous Orbits, Lagrangian Equilibrium Points, Satellite Orbits, Three Body Problem, Celestial Mechanics, Planetary Rings, Systems Stability

Scientific paper

The spectral stability of synchronous circular orbits in a rotating conservative force field is treated using a recently developed Hamiltonian method. A complete set of necessary and sufficient conditions for spectral stability is derived in spherical geometry. The resulting theory provides a general unified framework that encompasses a wide class of relative equilibria, including the circular restricted three-body problem and synchronous satellite motion about an aspherical planet. In the latter case an interesting class of stable nonequatorial circular orbits is found. A new and simplified treatment of the stability of the Lagrange points is given for the restricted three-body problem.

Affiliated with

Also associated with

No associations

Rating

Spectral stability of relative equilibria does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spectral stability of relative equilibria, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectral stability of relative equilibria will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1403665