14 citations · 34 across the 9 of their papers we have counts for
11 papers
On the n-body problem in
Tanya Schmah, Cristina Stoica
Using geometric mechanics methods, we examine aspects of the dynamics of n mass points in with a general pairwise potential. We investigate the central force problem…
A note on the geometric modeling of the full two body problem
Tanya Schmah, Cristina Stoica
The two full body problem concerns the dynamics of two spatially extended rigid bodies (e.g. rocky asteroids) subject to mutual gravitational interaction. In this note we deduce th…
Notes on relative equilibria of isosceles molecules in classical approximation
Damaris McKinley, Daniel Pasca, Cristina Stoica
We study a classical model of isosceles triatomic "A-B-A" molecules. The atoms, considered mass points, interact mutually via a generic repulsive-attractive binary potential. First…
On the Manev spatial isosceles three-body problem
Daniel Pasca, Cristina Stoica
We study the isosceles three-body problem with Manev interaction. Using a McGehee-type technique, we blow up the triple collision singularity into an invariant manifold, called the…
On the n-body problem on surfaces of revolution
Cristina Stoica
We explore the -body problem, on a surface of revolution with a general interaction depending on the pairwise geodesic distance. Using the geometric methods of classi…
Dynamics in the Schwarzschild isosceles three body problem
John A. Arredondo, Ernesto Perez-Chavela, Cristina Stoica
The Schwarzschild potential, defined as U(r)=-A/r-B/r^3, where r is the distance between two mass points and A,B>0, models astrophysical and stellar dynamics systems in a classical…