Hamiltonian Dynamics of a Gyrostat in the N-Body Problem: Relative Equilibria

Astronomy and Astrophysics – Astronomy

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

7

Scientific paper

We consider the non-canonical Hamiltonian dynamics of a gyrostat in Newtonian interaction with n spherical rigid bodies. Using the symmetries of the system we carry out two reductions. Then, working in the reduced problem, we obtain the equations of motion, a Casimir function of the system and the equations that determine the relative equilibria. Global conditions for existence of relative equilibria are given. Besides, we give the variational characterization of these equilibria and three invariant manifolds of the problem; being calculated the equations of motion in these manifolds, which are described by means of a canonical Hamiltonian system. We give some Eulerian and Lagrangian equilibria for the four body problem with a gyrostat. Finally, certain classical problems of Celestial Mechanics are generalized.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Hamiltonian Dynamics of a Gyrostat in the N-Body Problem: 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 Hamiltonian Dynamics of a Gyrostat in the N-Body Problem: Relative Equilibria, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hamiltonian Dynamics of a Gyrostat in the N-Body Problem: Relative Equilibria will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1581802

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.