Central configurations of identical masses lying along curves

Details Central configurations of identical masses lying along curves Central configurations of identical masses lying along curves

Jun 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009phrve..79f6601o&link_type=abstract

Physical Review E, vol. 79, Issue 6, id. 066601

Physics

1

Formalisms In Classical Mechanics, Celestial Mechanics, Vortex Dynamics, Celestial Mechanics

Scientific paper

A central configuration is an arrangement of point masses in which the net gravitational accelerations are proportional to the displacements from the center of mass. Here several families of central configurations are described consisting of a large number of identical masses that occupy one or more curves. The families are found numerically. These central configurations are regular, an algebraic condition that assures their persistence in the presence of small perturbing forces such as external fields or tethering forces. Both planar and nonplanar families exist; the planar central configurations are associated with (unstable) periodic solutions to the n -body problem. Similar configurations are exhibited for objects having pairwise interaction proportional to d-p at distance d for p different from 2, such as point vortices.

Affiliated with

Also associated with

No associations

Rating

Central configurations of identical masses lying along curves 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 Central configurations of identical masses lying along curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Central configurations of identical masses lying along curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1644657