三个不动中心问题的一个三维解
A Three-Dimensional Solution of the Problem of Three Fixed Centres
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Abstract: Based on the definitions of three fixed centres in a four-dimensional space, a three-dimensional solution of the problem of three fixed centres is presented,which develops the plane solution of the problem.
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Key words:
- celestial mechanics /
- fixed centres /
- threc-dimensional solution
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[1] V. G. Djomin, New classes of periodic solutions in restricted problems of three bodies, Astron. Zh., 38(1961),1. [2] Eu. P. Aksjonov, Eu. A. Grebenikov and V. G. Djomin, General solutions of the problem on the motion of artificial satellites in the normal gravitational field of the earth, Iskustbenye Sputniki Zemli, 8(1961),64. [3] G. T. Arazov and S. A. Habibov, On the solution of the problem of three fixed centres, Gelest, Meth, 15(1977), 265-276. [4] G. T. Arazov, On some applications of the problem of many fixed cnetres to geophysics, Celest, Mech, 25(1981), 345-352. [5] G. T. Arazov, Differential equations for the osculating elements of the intermediate orbit of the problems of three fixed centres, Sov, Astron, 27, 4(1983), 446-447.
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