Chapter 15 Hill's Approximation in the Three-Body Problem : Part V Physical Processes Relevant to the Planetary Growth : Origin of the Solar System
Chapter 15 Hill's Approximation in the Three-Body Problem : Part V Physical Processes Relevant to the Planetary Growth : Origin of the Solar System
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第十五章三体问题中的希尔近似：第五部分与行星生长有关的物理过程：太阳系的起源
DOI：
10.1143/ptps.96.167
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发表时间：
1988
影响因子：
--
通讯作者：
S. Ida
中科院分区：
文献类型：
--
作者：
K. Nakazawa;S. Ida
概述了近似描述两个相互作用的绕太阳运行天体运动的Hill方程及其性质。希尔方程可分解为相对运动方程和质心运动方程，质心运动方程可解析积分。此外，它可以重写成一个无量纲的形式，由希尔半径和日心距离缩放。希尔方程的这些特性减少了粒子运动的自由度，因此，在开普勒粒子之间的引力散射和碰撞的研究中使用它是有利的，这将在后面的章节中描述。
Hill's equation which describes approximately motions of interacting two bodies orbiting around the Sun is summarized, together with its properties. Hill's equation can be separated into equations of the relative and center of mass motions, and the center of mass motion can be integrated analytically. Further, it can be rewritten in a non-dimensional form scaled by the Hill radius and the heliocentric distance. These characteristics of Hill's equation reduce the degrees of freedom of particle motion and, hence, it is advantageous to use it in studies of gravitational scattering and collision between Keplerian particles, which will be described in later chapters.