A new perturbation theory for fast rotators and a revised formula for spin axis precession

Details A new perturbation theory for fast rotators and a revised formula for spin axis precession A new perturbation theory for fast rotators and a revised formula for spin axis precession

Dec 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004agufm.g43a0793v&link_type=abstract

American Geophysical Union, Fall Meeting 2004, abstract #G43A-0793

Physics

7504 Celestial Mechanics, 5450 Orbital And Rotational Dynamics, 1227 Planetary Geodesy And Gravity (5420, 5714, 6019)

Scientific paper

A new approach to the dynamics of fast rotators (e.g., the Earth, Mars and certain asteroids) is introduced. First we demonstrate in a simple case that the commonly used equation for spin axis precession needs to be revised. When we use the full dynamical equations except for wobble terms, the rate of precession is inversely proportional to the equatorial moment of inertia and not the polar one. In the case of the Earth, the revised equation implies an adjustment of about one part in one thousand in the moments of inertia. The main part of the work is the derivation of a general perturbation theory which is based on Lie series on the Lie group of rotations and the elimination of fast rotation from the averaged system. The new theory yields the revised equation for spin axis precession, along with a consistent set of equations for all possible motions, either for rigid or deformable bodies. This theory will allow accurate, long-term integrations of orbital and rotational dynamics incorporating the physics of wobble and nutation in rapidly rotating bodies such as the Earth and Mars.

Affiliated with

Also associated with

No associations

Rating

A new perturbation theory for fast rotators and a revised formula for spin axis precession 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 A new perturbation theory for fast rotators and a revised formula for spin axis precession, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new perturbation theory for fast rotators and a revised formula for spin axis precession will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1646510