82 citations · 264 across the 14 of their papers we have counts for
15 papers
Regularization of the Hill four-body problem with oblate bodies
Edward Belbruno, Marian Gidea, Wai-Ting Lam
We consider the Hill four-body problem where three oblate, massive bodies form a relative equilibrium triangular configuration, and the fourth, infinitesimal body orbits in a neigh…
When Leaving the Solar System: Dark Matter Makes a Difference
Edward Belbruno, James Green
A resultant gravitational force due to the current estimates of the virial mass of the Milky Way galaxy, dominated by dark matter, is estimated near the Sun and is described in two…
Relation Between Solutions of the Schrödinger Equation with Transitioning Resonance Solutions of the Gravitational Three-Body Problem
Edward Belbruno
It is shown that a class of approximate resonance solutions in the three-body problem under the Newtonian gravitational force are equivalent to quantized solutions of a modified Sc…
The Omega limit set of a family of chords
Edward Belbruno, Urs Frauenfelder, Otto van Koert
In this paper we study the limit behavior of a family of chords on compact energy hypersurfaces of a family of Hamiltonians. Under the assumption that the energy hypersurfaces are…
A Family of Periodic Orbits in the Three-Dimensional Lunar Problem
Edward Belbruno, Urs Frauenfelder, Otto van Koert
A family of periodic orbits is proven to exist in the spatial lunar problem that are continuations of a family of consecutive collision orbits, perpendicular to the primary orbit p…
Regularization of the big bang singularity with random perturbations
Edward Belbruno, BingKan Xue
We show how to regularize the big bang singularity in the presence of random perturbations modeled by Brownian motion using stochastic methods. We prove that the physical variables…