The quasi integrals

Details The quasi integrals The quasi integrals

Feb 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..21..183m&link_type=abstract

(Conference on Mathematical Methods in Celestial Mechanics, 6th, Oberwolfach, West Germany, Aug. 14-19, 1978.) Celestial Mechani

Astronomy and Astrophysics

Astronomy

1

Astrodynamics, Hamiltonian Functions, Satellite Orbits, Satellite Perturbation, Von Zeipel Method, Convergence, Equations Of Motion, Integral Equations

Scientific paper

The usual Von Zeipel transformations of the Hamiltonian Mechanics are presented, they lead to state functions with extremely slow variations: the 'quasi-integrals'. The Von Zeipel transformations are implicit: an explicit and direct construction of the quasi-integrals is also presented and the quasi-invariance property of these functions is demonstrated. These results are applied to the problem of the motion of artificial satellites perturbed by the zonal harmonics of the earth potential, the quasi-integral is given, it is then so constant that the problem can be considered as integrable.

Affiliated with

Also associated with

No associations

Rating

The quasi integrals 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 The quasi integrals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The quasi integrals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1620837