On the averaging principle for one-frequency systems. An application to satellite motions

Details On the averaging principle for one-frequency systems. An application to satellite motions On the averaging principle for one-frequency systems. An application to satellite motions

2006-09-13

arxiv.org/abs/math-ph/0609038v2

Nonlinear Dyn.58: 273-294,2009

Physics

Mathematical Physics

LaTeX, 35 pages, 12 figures. The final version published in Nonlinear Dynamics

Scientific paper

10.1007/s11071-009-9477-0

This paper is related to our previous works [1][2] on the error estimate of the averaging technique, for systems with one fast angular variable. In the cited references, a general method (of mixed analytical and numerical type) has been introduced to obtain precise, fully quantitative estimates on the averaging error. Here, this procedure is applied to the motion of a satellite in a polar orbit around an oblate planet, retaining only the J_2 term in the multipole expansion of the gravitational potential. To exemplify the method, the averaging errors are estimated for the data corresponding to two Earth satellites; for a very large number of orbits, computation of our estimators is much less expensive than the direct numerical solution of the equations of motion.

Affiliated with

Also associated with

No associations

Rating

On the averaging principle for one-frequency systems. An application to satellite motions 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 On the averaging principle for one-frequency systems. An application to satellite motions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the averaging principle for one-frequency systems. An application to satellite motions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-554516