2 papers
math.DS2026
Singularities and Collision Criteria in the Gravitational Straight-Segment Problem with Arbitrary Positive Density
F. Crespo, E. Mart\'ınez, J. Vidarte +2
We study singularities and collision criteria for a massless particle around a fixed finite straight segment with an arbitrary positive continuous density. We first show that every…
math.DS2025
Stability, periodic orbits and KAM tori in the dynamics of the three fixed centers problem
Edward A. Turner, Francisco Crespo, Jhon Vidarte +2
We investigate the motion in space of an infinitesimal particle in the gravitational field generated by three primary bodies positioned at the vertices of a fixed equilateral trian…