Bifurcation Regime of a Synchronous Resonance in the Translational-Rotational Motion of Nonspherical Natural Satellites of Planets

Details Bifurcation Regime of a Synchronous Resonance in the Translational-Rotational Motion of Nonspherical Natural Satellites of Planets Bifurcation Regime of a Synchronous Resonance in the Translational-Rotational Motion of Nonspherical Natural Satellites of Planets

Jan 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cosre..39...68m&link_type=abstract

Cosmic Research, v. 39, Issue 1, p. 68-77 (2001).

Computer Science

4

Scientific paper

Period-doubling bifurcations of the synchronous spin-orbit resonance in the motion of a nonspherical natural planetary satellite along the elliptic orbit are studied. The satellite spin axis is assumed to coincide with the axis of its largest principal moment of inertia and is perpendicular to the orbital plane. The period-doubling bifurcations take place when the value of satellite's dynamical asymmetry parameter falls in the parametric resonance domain. Theoretical dependences of the amplitude of the bifurcation oscillations of a satellite at the pericenter of its orbit upon the eccentricity and dynamical asymmetry parameter are investigated. Three different methods of calculating the amplitude of bifurcation oscillations are presented and compared. These theoretical estimates can be used to predict the opportunity to observe the bifurcation regime. The possibility of the occurrence of the bifurcation regime in the motion of natural planetary satellites is studied. It is concluded that the bifurcation regime is possible in the motion of Deimos, Epimetheus, Helen, Pandora, and Phobos. Phobos is the most probable candidate for finding the bifurcation regime of a synchronous rotation. The identification of such a regime would allow one to impose stringent constraints on the values of the inertial parameters of the satellite observed.

Affiliated with

Also associated with

No associations

Rating

Bifurcation Regime of a Synchronous Resonance in the Translational-Rotational Motion of Nonspherical Natural Satellites of Planets 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 Bifurcation Regime of a Synchronous Resonance in the Translational-Rotational Motion of Nonspherical Natural Satellites of Planets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bifurcation Regime of a Synchronous Resonance in the Translational-Rotational Motion of Nonspherical Natural Satellites of Planets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-923229