Numerical results to the Sitnikov-problem

Details Numerical results to the Sitnikov-problem Numerical results to the Sitnikov-problem

May 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..56...71d&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 56, no. 1-2, p. 71-80.

Astronomy and Astrophysics

Astronomy

20

Chaos, Elliptic Functions, Motion Stability, Orbits, Three Body Problem, Equations Of Motion, Liapunov Functions, Poincare Problem, Stochastic Processes

Scientific paper

A systematic numerical study of the Sitnikov problem, a special case of the 3D elliptic restricted three-body problem, is presented. Two primaries with equal masses and the third body moving perpendicular to the plane of the primaries' orbit through their barycenter in the range between 0.33 and 0.66 are considered. It is concluded that invariant curves can be observed, close to the linear problem, for very small oscillations around the barycenter. The closed curves exist up to a certain value of the initial conditions and then they break and unbound and chaotic motion is possible.

Affiliated with

Also associated with

No associations

Rating

Numerical results to the Sitnikov-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 Numerical results to the Sitnikov-problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical results to the Sitnikov-problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1853083