具有星风阻尼-反阻尼效应的变质量两体引力系统
Two bodies gravitational system with variable mass and damping-antidamping effect due to star wind
摘要:
研究了两体引力问题,其中一个物体的质量变化,并且在运动过程中受到星风的阻尼-反阻尼作用。给出了系统径向运动的运动常数、拉格朗日量和哈密顿量,并利用系统的运动常数研究了物体的周期。以哈雷彗星为例,给出了它在彗星运动中的一个应用.
英文摘要:
We study two-bodies gravitational problem where the mass of one of the bodies varies and suffers a damping-antidamping effect due to star wind during its motion. A constant of motion, a Lagrangian and a Hamiltonian are given for the radial motion of the system, and the period of the body is studied using the constant of motion of the system. An application to the comet motion is given, using the comet Halley as an example.
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