在反力作用下变质量两体问题的动力学

A. Ibraimova, M. Minglibayev
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引用次数: 0

摘要

摘要研究了两个球形天体在反力作用下质量以不同速率非各向同性变化的一般情况下的问题。利用牛顿方程形式的微扰运动方程,利用基于准圆锥截面非周期运动的微扰理论方法对该问题进行了研究。用类似于相应的开普勒元素的变量a、e、i、π、ω、λ来描述问题,并得到了这些变量的运动方程。在平均经度上求平均值,得到了在反力作用下变质量两体问题的演化方程。得到的演化方程具有精确解析积分${a^3 e^4 = a^3_0 e^4_0} = {const}$。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
To the dynamics of the two-body problem with variable masses in the presence of reactive forces
Abstract We studied the problem of two spherical celestial bodies in the general case when the masses of the bodies change non-isotropically at different rates in the presence of reactive forces. The problem was investigated by methods of perturbation theory based on aperiodic motion along a quasi-conic section, using the equation of perturbed motion in the form of Newton’s equations. The problem is described by the variables a, e, i, π, ω, λ, which are analogs of the corresponding Keplerian elements and the equations of motion in these variables are obtained. Averaging over the mean longitude, we obtained the evolution equations of the two-body problem with variable masses in the presence of reactive forces. The obtained evolution equations have the exact analytic integral ${a^3 e^4 = a^3_0 e^4_0} = {const}$ .
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