New solutions in the direct problem of dynamics

Details New solutions in the direct problem of dynamics New solutions in the direct problem of dynamics

May 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007padeu..19...17b&link_type=abstract

Publications of the Astronomy Department of the Eötvös University (PADEU), 2007, ISBN 963 463 557, Vol. 19. Edited by B. Érdi a

Astronomy and Astrophysics

Astronomy

Scientific paper

Given a planar potential V, we look for families of orbits f(x,y)=c% (determined by their slope function γ=f_{y}/f_{x}), traced by a material point of unit mass under the action of that potential. The second-order equation which relates γ and V is nonlinear in γ; to find special solutions, we consider in addition a linear first-order partial differential equation satisfied by γ. The problem does not admit always solutions; but when solutions do exist, they can be found by algebraic manipulations. Examples are given for homogeneous families γ, and for some special cases which arise in the course of reasoning.

Affiliated with

Also associated with

No associations

Rating

New solutions in the direct problem of dynamics 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 New solutions in the direct problem of dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New solutions in the direct problem of dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1743133