Birth of resonances in the spin-orbit problem of Celestial Mechanics

Details Birth of resonances in the spin-orbit problem of Celestial Mechanics Birth of resonances in the spin-orbit problem of Celestial Mechanics

1999-04-20

arxiv.org/abs/chao-dyn/9904035v1

Nonlinear Sciences

Chaotic Dynamics

17 pages, 6 figures

Scientific paper

The behaviour of resonances in the spin-orbit coupling in Celestial Mechanics is investigated. We introduce a Hamiltonian nearly-integrable model describing an approximation of the spin-orbit interaction. A parametric representation of periodic orbits is presented. We provide explicit formulae to compute the Taylor series expansion in the perturbing parameter of the function describing this parametrization. Then we compute approximately the radius of convergence providing an indication of the stability of the periodic orbit. This quantity is used to describe the different probabilities of capture into resonance. In particular, we notice that for low values of the orbital eccentricity the only significative resonance is the synchronous one. Higher order resonances (including 1:2, 3:2, 2:1) appear only as the orbital eccentricity is increased.

Affiliated with

Also associated with

No associations

Rating

Birth of resonances in the spin-orbit problem of Celestial Mechanics 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 Birth of resonances in the spin-orbit problem of Celestial Mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Birth of resonances in the spin-orbit problem of Celestial Mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-328703