Abstract

In this paper, we discuss the possible disruption of a prolate ellipsoidal small body by the Earth’s tidal forces during a close flyby. An exact expression for the stress tensor under the action of gravity, rotation, and tidal forces is obtained using the analytical solution of the elastic problem. Constraints for the critical distance are derived taking into account the size, shape, density, mechanical properties (material strength and Poisson ratio), rotation, and two variants of the body orientation. Asteroid 433 Eros is considered as a case study. The results are important for methods for assessing the asteroid hazard of near-Earth objects (NEO) and the evolution of terrestrial planets.

中文翻译：

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近距离飞越地球时，身体会发生扁长破坏：可能的情况

摘要

在本文中，我们讨论了近距离飞行时地球的潮汐力可能破坏扁长的椭圆形小物体。使用弹性问题的解析解，可以获得在重力，旋转和潮汐力作用下应力张量的精确表达式。考虑到尺寸，形状，密度，机械性能（材料强度和泊松比），旋转以及身体朝向的两个变体，得出了临界距离的限制。小行星433 Eros被认为是一个案例研究。该结果对于评估近地天体（NEO）的小行星危害和陆地行星的演化的方法很重要。