Analytical extension of lunar libration tables
Analytical extension of lunar libration tables
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DOI：
10.1007/bf00058046
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发表时间：
1996-04
期刊：
影响因子：
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通讯作者：
N. Petrova
中科院分区：
文献类型：
--
作者：
N. Petrova
给出了月球物理天平动表，定义了对月球引力场参数的解析依赖关系。在月球天平动“主要问题”的框架下，通过将汉密尔顿方程组积分为谐振子方程组，得到了月球天平动物理量的泊松级数形式。其特点是这些级数是对若干动力学参数LURE 2计算的半解析解的解析推广。文中还简要地与Eckhardt的解作了比较。在此基础上，本文提出了一种新的月球赤道对黄道的平均倾角与Eckhartt的“500解”不一致的结论。
Tables of lunar physical libration defining the analytical dependence upon the parameters of the lunar gravitational field are presented. The tables are obtained on the framework of the “main problem” in lunar libration by integration of the Hamilton equations reduced to the harmonic oscillator equations.The variables of physical libration have been obtained in the form of Poisson series. The distinguishing feature of the tables is that these series are the analytical extension of semianalytical solution computed for a number of dynamical parameters LURE2.A comparison with the Eckhardt's solution is briefly presented. The previously revealed disagreement of the mean inclination of lunar equator to ecliptic with that in Eckhardt's “solution 500” has been maintained.