Special Session 16: Celestial Mechanics and Hamiltonian Systems

Applications of the McGehee Regularization to Astrophysics, Cosmology and Celestial Mechanics

Edward Belbruno
Yeshiva Univ. & Princeton Univ.
USA
Co-Author(s):    
Abstract:
The McGehee regularization is an interesting way to regularize the flow of a dynamical system near a singular state by blowing up the singularity. This has been recently applied in astrophysics and cosmology to the motion of a particle about a Schwarzschild black hole (2011) and to regularize the big bang singularity (2013, 2018), respectively. Most recently, it has been applied to motion about an asteroid (2023). These problems are described and compared. \ [Refs: CQG, v28, 2011 (EB, FP); \ CMDA. v115, 2013, (EB); \ CQG, v35, 2018 (EB, BKX); \ CMDA , v135, 2023, (EB, MG, W-TL) ]