Maximum Lyapunov Exponents for Chaotic Rotation of Natural Planetary Satellites

Details Maximum Lyapunov Exponents for Chaotic Rotation of Natural Planetary Satellites Maximum Lyapunov Exponents for Chaotic Rotation of Natural Planetary Satellites

May 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cosre..40..296s&link_type=abstract

Cosmic Research, v. 40, Issue 3, p. 296-304 (2002).

Physics

5

Scientific paper

Based on the Chirikov approach [1, 2] within the context of the theory of separatrix mappings, we suggest and substantiate a simple method for estimating the maximum Lyapunov characteristic exponent (MLCE) of motion in a chaotic layer in the neighborhood of nonlinear resonance separatrix of a Hamiltonian system under an asymmetric periodic perturbation. For a number of natural planetary satellites, using this method, the estimates are made of the MLCE of chaotic rotation (relative to the center of mass) in the main chaotic layer, i.e., in the chaotic layer in the neighborhood of a synchronous resonance separatrix. The value of the MLCE is determined by an orbital eccentricity and by the parameter of the satellite's dynamic asymmetry. The quantity inverse to the MLCE gives a typical time of predictable rotational motion.

Affiliated with

Also associated with

No associations

Rating

Maximum Lyapunov Exponents for Chaotic Rotation of Natural Planetary Satellites 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 Maximum Lyapunov Exponents for Chaotic Rotation of Natural Planetary Satellites, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Maximum Lyapunov Exponents for Chaotic Rotation of Natural Planetary Satellites will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1513977