Linear stability of ring systems with generalized central forces

Details Linear stability of ring systems with generalized central forces Linear stability of ring systems with generalized central forces

Oct 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008a%26a...489..819a&link_type=abstract

Astronomy and Astrophysics, Volume 489, Issue 2, 2008, pp.819-824

Astronomy and Astrophysics

Astrophysics

2

Celestial Mechanics

Scientific paper

We analyze the linear stability of a system of n equal mass points uniformly distributed on a circle and moving about a single massive body placed at its center. We assume that the central body makes a generalized force on the points on the ring; in particular, we assume the force is generated by a Manev's type potential. This model represents several cases, for instance, when the central body is a spheroid or a radiating source. The problem contains 3 parameters, namely, the number n of bodies of the ring, the mass factor μ, and the radiation or oblateness coefficient ɛ. For the classical case (Newtonian forces), it has been known since the seminal work of Maxwell that the problem is unstable for n≤ 6. For n ≥ 7 the problem is stable when μ is within a certain interval. In this work, we determine the region (ɛ,μ) in which the problem is stable for several values of n. Unstable cases (n ≤ 6) may become stable for negative values of ɛ.

Affiliated with

Also associated with

No associations

Rating

Linear stability of ring systems with generalized central forces 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 Linear stability of ring systems with generalized central forces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Linear stability of ring systems with generalized central forces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1661772