7 citations · 17 across the 7 of their papers we have counts for
Showing 2009 · math-phShow all
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math-ph2009★ 2 cited
On the periodic orbits of the circular double Sitnikov problem
H. Jiménez-Pérez, E. Lacomba
We introduce a restricted four body problem in a 2+2 configuration extending the classical Sitnikov problem to the Double Sitnikov problem. The secondary bodies are moving on the s…
math-ph2009
Symplectic Regularization of Binary Collisions in the Circular N+2 Sitnikov Problem
H. Jiménez-Pérez, E. Lacomba
We present a brief overview of the regularizing transformations of the Kepler problem and we relate the Euler transformation with the symplectic structure of the phase space of the…
math-ph2009★ 7 cited
Energy levels of periodic solutions of the circular 2+2 Sitnikov problem
H. Jiménez-Pérez, E. Lacomba
We study a 2+2 body problem introduced in a previous paper as the circular double Sitnikov problem. Since the secondary bodies are moving on the same perpendicular line where evolv…