Rotational Dynamics: A Geometrical Approach

Details Rotational Dynamics: A Geometrical Approach Rotational Dynamics: A Geometrical Approach

May 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008dda....39.1518n&link_type=abstract

American Astronomical Society, DDA meeting #39, #15.18

Other

Scientific paper

The equations describing the dynamics of rotating bodies on precessing orbits are naturally treated in terms of geometric transformations (rotations) of the angular momentum vectors. Indeed, Cassini's (1693) well-known laws regarding rotation of synchronous bodies are not physical laws, but rather geometrical constraints. The physical basis for them was elucidated much later by Colombo (1966), Peale (1969), and others, and has since then been treated largely in terms of orbital elements (and associated rotational parameters) via Hamiltonian methods (e.g., D'Hoedt and Lemaitre, 2004; Yseboodt and Margot, 2006). A drawback to the typically used formulation is that dissipation does not naturally enter the problem, and is invoked mainly to drive the system toward a fixed point. If the trajectory of the system away from the fixed points is desired, ad-hoc dissipative mechanisms may be added, but such treatments occasionally fail to conserve invariant quantities such as angular momentum. We will present analytical, closed-form solutions for a widely-employed class of models for rotating bodies on arbitrarily precessing orbits with dissipation which more clearly elucidate the role of dissipation in driving the dynamics. We will explore some possible modifications to the Hamiltonian approach that could accommodate dissipation and make the Cassini states local attractors for the system.
Cassini, G. D. 1693, Traite de L'origine et de Progres de L'Astronomie (Paris).
Colombo, G. 1966, Astron. J. vol. 71, 891.
D'Hoedt, S. and A. Lemaitre 2004, C. M. D. A, vol. 89, 267.
Peale, S. J. 1969, Astron. J. vol. 74, 483.
Yseboodt, M. and J-. L. Margot 2006, Icarus, vol. 181, 327.

Affiliated with

Also associated with

No associations

Rating

Rotational Dynamics: A Geometrical Approach 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 Rotational Dynamics: A Geometrical Approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rotational Dynamics: A Geometrical Approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1538443