dda simulation of celestial orbits
首发时间:2024-09-29
abstract:a numerical method of discontinuous deformation analysis (dda) derived from the field of rock mechanics is used for the first time to simulate the motion of celestial systems. with celestial bodies being treated as rigid bodies, only the universal gravitation and inertial force of celestial bodies need to be considered in dda simulations. on the basis of the variational principle of elastodynamics, linear equations describing the motion of celestial bodies were established and solved to obtain the kinematic parameters at every time step. the plane rigid disk dda method was used to simulate the motion of the sun-earth system and the sun-earth-moon system. the results were compared with those of the astronomical software stellarium, and the errors were small. the dda method can be conveniently used to simulate the motion of celestial bodies.
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天体运行的dda模拟
摘要:首次将源自岩土领域的不连续变形分析(dda)数值计算方法用于模拟天体系统的运行。系统中仅需考虑天体间的万有引力和天体自身惯性力,基于弹性动力学变分原理,建立描述天体运行的线性方程组,并在天体运动过程中的每一时间步内求解线性方程组,得到天体的运动参数。用平面刚性圆盘分别模拟日-地二体系统和日-地-月三体系统的运动,将结果与虚拟天文馆软件stellarium的数据进行对比,发现误差较小,表明用dda方法可以比较方便地模拟天体的运动。
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