Non integrability of the J2 problem

Details Non integrability of the J2 problem Non integrability of the J2 problem

Mar 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..55..281i&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 55, no. 3, p. 281-287.

Astronomy and Astrophysics

Astronomy

10

Orbital Mechanics, Perturbation Theory, Planetary Orbits, Degrees Of Freedom, Hamiltonian Functions, Harmonics, Numerical Integration

Scientific paper

We consider the motion of a massless particle around an oblate planet,
keeping only in the expression of the perturbing potential the second
degree zonal harmonic. We prove the analytical non integrability of this
problem, by using Ziglin's theorem and the Yoshida criterion for
homogeneous potentials.

Affiliated with

Also associated with

No associations

Rating

Non integrability of the J2 problem 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 Non integrability of the J2 problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non integrability of the J2 problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1443130