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首页> 外文学位 >The full two-body-problem: Simulation, analysis, and application to the dynamics, characteristics, and evolution of binary asteroid systems.
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The full two-body-problem: Simulation, analysis, and application to the dynamics, characteristics, and evolution of binary asteroid systems.

机译：完整的两体问题：模拟，分析并将其应用于二元小行星系统的动力学，特征和演化。

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The Full Two-Body-Problem (F2BP) describes the dynamics of two unconstrained rigid bodies in close proximity, having arbitrary spatial distribution of mass, charge, or similar field quantity, and interacting through a mutual potential dependent on that distribution. While the F2BP has applications in areas as wide ranging as molecular dynamics to satellite formation flying, this dissertation focuses on its application to natural bodies in space with nontrivial mass distribution interacting through mutual gravitational potential, i.e. binary asteroids.;This dissertation first describes further development and implementation of methods for accurate and efficient F2BP propagation based upon a flexible method for computing the mutual potential between bodies modeled as homogenous polyhedra. Next application of these numerical tools to the study of binary asteroid (66391) 1999 KW4 is summarized. This system typifies the largest class of NEO binaries, which includes nearly half of them, characterized by a roughly oblate spheroid primary rotating rapidly and roughly triaxial ellipsoid secondary in on-average synchronous rotation. Thus KW4's dynamics generalize to any member of that class.;Analytical formulae are developed which separately describe the effects of primary oblateness and secondary triaxial ellipsoid shape on frequencies of system motions revealed through the F2BP simulation. These formulae are useful for estimating inertia elements and highest-level internal mass distributions of bodies in any similar system, simply from standoff observation of these motion frequencies.;Finally precise dynamical simulation and analysis of the motion of test particles within the time-varying gravity field of the F2BP system is detailed. This Restricted Full-detail Three-Body-Problem encompasses exploration of three types of particle motion within a binary asteroid: (1) Orbital motion such as that for a spacecraft flying within the system about the primary, secondary, or system barycenter at large distance; (2) Motion of ejecta particles originating from the body surfaces with substantial initial surface-relative velocity; (3) Motion of particles originating from the primary surface near the equator, with no initial surface-relative velocity, but when primary spin rate is raised past the "disruption spin rate" for which material on the surface will be spun off.
机译：完全二体问题（F2BP）描述了两个紧密相近的不受约束的刚体的动力学，这些刚体具有质量，电荷或类似场量的任意空间分布，并通过依赖于该分布的互势进行交互。虽然F2BP在分子动力学到卫星编队飞行的广泛领域中都有应用，但本论文着重于将F2BP应用于具有自然质量分布且通过相互引力相互作用的非平凡质量体（即二元小行星）的应用。基于一种灵活的方法来实现精确有效的F2BP传播的方法的实现，该方法用于计算建模为同质多面体的物体之间的相互电势。总结了这些数值工具在二元小行星（66391）1999 KW4研究中的下一步应用。该系统代表了最大类的NEO二元二进制文件，其中包括近一半，其特征是快速旋转的大致扁球状初级球和平均同步旋转的大致三轴椭球状次级。因此，KW4的动力学可以推广到该类别的任何成员。；建立了分析公式，分别描述了主要扁度和次要三轴椭球形状对通过F2BP仿真揭示的系统运动频率的影响。这些公式可用于简单地通过对这些运动频率的僵持观测来估算任何类似系统中的惯性元素和最高水平的物体内部质量分布;最终精确的动力学仿真和分析时变重力下的测试粒子运动F2BP系统的详细字段。该受限的全细节三体问题涵盖了对二元小行星内三种类型的粒子运动的探索：（1）轨道运动，例如航天器在系统内围绕主，副或系统重心在远距离飞行的运动; （2）以相当大的初始表面相对速度运动源自身体表面的喷射粒子； （3）源自赤道附近主表面的粒子运动，没有初始表面相对速度，但是当主自旋速率提高到超过“破坏自旋速率”时，表面上的物质将被甩出。

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