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math.DS2022★ 4 cited
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…
math.DS2022
Arnold diffusion in a model of dissipative system
Samuel W. Akingbade, Marian Gidea, Tere M-Seara
For a mechanical system consisting of a rotator and a pendulum coupled via a small, time-periodic Hamiltonian perturbation, the Arnold diffusion problem asserts the existence of `d…