Binary Decompositions for Planar N-Body Problems and Symmetric Periodic Solutions

The principle of symmetric criticality

Richard S. Palais · Communications in Mathematical Physics · 1979 · 1.1K citations

Natural Sciences, Physics, Condensed Matter Physics +10

A Remarkable Periodic Solution of the Three-Body Problem in the Case of Equal Masses

Alain Chenciner, Richard Montgomery · Annals of Mathematics · 2000 · 555 citations

Natural Sciences, Astronomy, Mathematics +15

A Minimizing Property of Keplerian Orbits

William B. Gordon · American Journal of Mathematics · 1977 · 193 citations

Engineering, Aerospace Engineering, Mathematics +14

On the existence of collisionless equivariant minimizers for the classical n-body problem

2004 · 179 citations

Natural Sciences, Mathematics, Physics +13

Action-Minimizing Orbits in the Parallelogram Four-Body Problem with Equal Masses

Kuo-Chang Chen · Archive for Rational Mechanics and Analysis · 2001 · 83 citations

Natural Sciences, Mathematics, Gravitation +5