四极摄动下开普勒问题的混沌
Chaos in the Kepler problem with quadrupole perturbations
摘要：
我们使用Melnikov积分方法证明了零能量流形上的Hamilton流的开普勒问题的四极矩扰动是混沌的，无论是长或扁的扰动类型。这一结果有助于阐明最近在物理文献中基于数值模拟的一些相互矛盾的工作。
英文摘要：
We use the Melnikov integral method to prove that the Hamiltonian flow on the zero-energy manifold for the Kepler problem perturbed by a quadrupole moment is chaotic, irrespective of the perturbation being of prolate or oblate type. This result helps to elucidate some recent conflicting works in the physical literature based on numerical simulations.
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