NEAR-COLLISION SOLUTIONS ON NON-NEWTONIAN CENTRAL FORCE PROBLEM
Saymon Santana, Elbert Macau
Central-force problems appear in various phenomena in science. This paper aims to study the near-collision solutions in Non-Newtonian central force. Through a judicious change of variables we remove the singularity presented in the cases in which the solutions approach the origin. Through that, a fictitious flow about the singularity is created which allows the understanding of the near-collision dynamics.