Saari's Conjecture for the Planar Three-Body Problem with Equal Masses

Details Saari's Conjecture for the Planar Three-Body Problem with Equal Masses Saari's Conjecture for the Planar Three-Body Problem with Equal Masses

Mar 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cemda..89...99m&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 89, Issue 2, p. 99-118 (2004).

Astronomy and Astrophysics

Astronomy

2

Bounded Orbits, Moment Of Inertia, Relative Equilibria, Three-Body Problem

Scientific paper

In the N-body problem, it is a simple observation that relative equilibria (planar solutions for which the mutual distances between the particles remain constant) have constant moment of inertia. In 1970, Don Saari conjectured that the converse was true: if a solution to the N-body problem has constant moment of inertia, then it must be a relative equilibrium. In this note, we confirm the conjecture for the planar three-body problem with equal masses.

Affiliated with

Also associated with

No associations

Rating

Saari's Conjecture for the Planar Three-Body Problem with Equal Masses 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 Saari's Conjecture for the Planar Three-Body Problem with Equal Masses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Saari's Conjecture for the Planar Three-Body Problem with Equal Masses will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1622099