A Three-Dimensional Solution of the Problem of Three Fixed Centres

Qin Yiping; Nie Zhaoming

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Qin Yiping, Nie Zhaoming. A Three-Dimensional Solution of the Problem of Three Fixed Centres[J]. Applied Mathematics and Mechanics, 1996, 17(6): 529-532.

Citation:

Qin Yiping, Nie Zhaoming. A Three-Dimensional Solution of the Problem of Three Fixed Centres[J]. Applied Mathematics and Mechanics, 1996, 17(6): 529-532.

Citation:

Qin Yiping, Nie Zhaoming. A Three-Dimensional Solution of the Problem of Three Fixed Centres[J]. Applied Mathematics and Mechanics, 1996, 17(6): 529-532.

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A Three-Dimensional Solution of the Problem of Three Fixed Centres

Yunnan Observatory, Academia Sinica, Kunming 650011, P. R. China

Received Date: 1994-11-15
Rev Recd Date: 1995-03-26
Publish Date: 1996-06-15

Abstract

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.
- celestial mechanics,
- fixed centres,
- threc-dimensional solution

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References(5)

References

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[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.