Regularized variational principles for the perturbed Kepler problem

DOI10.1016/j.aim.2021.107694zbMath1482.70016arXiv2003.09383OpenAlexW3138165761MaRDI QIDQ2020409

Vivina Barutello, Rafael Ortega, Gianmaria Verzini

Publication date: 23 April 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.09383

zbMATH Keywords

generalized solutionsperiodic solutionsregularizationKepler problemconstrained critical pointsforced problem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Existence of solutions for minimax problems (49J35) Two-body problems (70F05) Collisions in celestial mechanics, regularization (70F16)

Related Items (9)

The regularized free fall. I: Index computations ⋮ Helium and Hamiltonian delay equations ⋮ Variational methods to second-order Dirichlet boundary value problems with impulses on the half-line ⋮ Nondegeneracy and integral count of frozen planet orbits in helium ⋮ Nullity bounds for certain Hamiltonian delay equations ⋮ A variational approach to frozen planet orbits in helium ⋮ Generalized periodic orbits of the time-periodically forced Kepler problem accumulating at the center and of circular and elliptic restricted three-body problems ⋮ Periodic Solutions to a Perturbed Relativistic Kepler Problem ⋮ The regularized free fall. II: Homology computation via heat flow

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