# Regularization of the Hill four-body problem with oblate bodies

@article{Belbruno2022RegularizationOT, title={Regularization of the Hill four-body problem with oblate bodies}, author={Edward Belbruno and Marian Gidea and Wai-Ting Lam}, journal={Celestial Mechanics and Dynamical Astronomy}, year={2022}, volume={135} }

We consider the Hill four-body problem where three oblate, massive bodies form a relative equilibrium triangular configuration, and the 4th, infinitesimal body orbits in a neighborhood of the smallest of the three massive bodies. We regularize collisions between the infinitesimal body and the smallest massive body, via McGehee coordinate transformation. We describe the corresponding collision manifold and show that it undergoes a bifurcation when the oblateness coefficient of the smallest…

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