论文标题
山丘四体问题的正规化
Regularization of the Hill four-body problem with oblate bodies
论文作者
论文摘要
我们考虑了山丘四体问题，其中三个扁平，巨大的身体形成相对平衡的三角形构型，而在三个巨大物体中最小的附近，第四个无穷小体轨道。我们通过McGehee坐标转换使无限体和最小的巨大体之间的碰撞正规化。我们描述了相应的碰撞歧管，并表明当小体的污垢系数通过零值时，它会经历分叉。
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 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 small massive body passes through the zero value.
