Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053553 | Applied Mathematics Letters | 2018 | 8 Pages |
Abstract
Based on the works of Gordon (1977) and Zhang and Zhou (2001) on the variational minimizing properties for Keplerian orbits and Lagrangian solutions of Newtonian 2-body and 3-body problems, we use the constrained variational principle of Ambrosetti and Coti Zelati (1990) to compute the Lagrangian actions on Keplerian and Lagrangian elliptical solutions with fixed energies. We also find an interesting relation between the period and the energy for Lagrangian elliptical solutions with Newtonian potentials.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Ying Lv, Shiqing Zhang,