论文标题
无旋转轴对称伸展身体周围的混乱动力学周围的黑洞
Chaotic dynamics of a spinless axisymmetric extended body around a Schwarzschild black hole
论文作者
论文摘要
我们研究了Schwarzschild几何形状中无自旋扩展物体的长期轨道动力学,并表明以测试体形状的球形对称性周期性偏差可能会触发混乱的发作。我们通过将Dixon的形式主义在四极顺序上应用到一个几乎球体的体中,该体形状在岩体和扁平的球体之间振荡。然后,通过应用Melnikov的方法来验证晚期混沌行为。
We investigate the long-term orbital dynamics of spinless extended bodies in Schwarzschild geometry, and show that periodic deviations from spherical symmetry in the shape of a test body may trigger the onset of chaos. We do this by applying Dixon's formalism at quadrupolar order to a nearly spherical body whose shape oscillates between a prolate and an oblate spheroid. The late-time chaotic behavior is then verified by applying Melnikov's method.