On the Brown conjecture

Details On the Brown conjecture On the Brown conjecture

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..34..459g&link_type=abstract

(Bundesministerium für Wissenschaft und Forschung of Austria, Alexander von Humboldt Colloquium on Celestial Mechanics: The Stab

Physics

Asymptotic Methods, Lagrangian Equilibrium Points, Orbital Elements, Three Body Problem, Trojan Orbits, Angular Momentum, Canonical Forms, Poincare Problem

Scientific paper

Brown's conjecture (1911) that the family of long-periodic orbits in the Trojan case of the restricted problem of three bodies terminates in an asymptotic orbit that passes through the Lagrangian point, L(3) for t = + or - infinity is refuted analytically. The numerical refutation by Henrard (1938), regarding the Jacobi constant for the homoclinic orbits, is thereby confirmed. Brown's second and third conjectures are also considered.

Affiliated with

Also associated with

No associations

Rating

On the Brown conjecture 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 On the Brown conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Brown conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-735052