Constant inertia trajectories: on Saari's conjecture and more

Details Constant inertia trajectories: on Saari's conjecture and more Constant inertia trajectories: on Saari's conjecture and more

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aipc.1043..112s&link_type=abstract

EXPLORING THE SOLAR SYSTEM AND THE UNIVERSE. AIP Conference Proceedings, Volume 1043, pp. 112-115 (2008).

Statistics

Computation

Celestial Mechanics, Newtonian Mechanics, Rotational Kinematics, Computational Methods In Continuum Mechanics, Lagrangian And Hamiltonian Mechanics, Potential Energy Surfaces For Chemical Reactions, Variational And Optimizational Methods

Scientific paper

The simplest non-collision solutions of the N-body problem are the relative equilibria, in which each body follows a circular orbit around the centre of mass and the shape formed by the N bodies is constant. It is easy to see that the moment of inertia of such a solution is constant. In 1970, D. Saari conjectured that the converse is also true for the planar Newtonian N-body problem: relative equilibria are the only constant-inertia solutions. Here we review some recent results on some generalizations of Saari's Conjecture.

Affiliated with

Also associated with

No associations

Rating

Constant inertia trajectories: on Saari's conjecture and more 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 Constant inertia trajectories: on Saari's conjecture and more, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Constant inertia trajectories: on Saari's conjecture and more will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1292624