| 引用本文: | 李革非.关于旋进椭圆的讨论.[J].国防科技大学学报,1986,(4):131-137.[点击复制] |
| Li Gefei.The Discussion about precessing Ellipse[J].Journal of National University of Defense Technology,1986,(4):131-137[点击复制] |
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| 关于旋进椭圆的讨论 |
| 李革非 |
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| 摘要: |
| 本文采用作用角变量的方法，讨论了闭合轨道在一般幂次型引力势作用下的情况。采用这种方法时，初始轨道接近于圆轨道的假设是不必要的，而且引力势的形式可以推广到平方反比力场和其它幂次力场。文中给出了轨道闭合的判别公式。若中心力包括r-2项和r-3项时，即相对论校正情况，则轨道闭合成为旋进椭圆；它的旋进角速度可以计算出来。 |
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| 投稿日期：1986-01-05 |
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| The Discussion about precessing Ellipse |
| Li Gefei |
| Abstract: |
| On the basis of the method of action-angle variables the conditions of closed orbits under the action of general power-type gravitation potential are discussed on this paper. By method it is unnecessary to assume that the initial orbit is near to a circular orbit. Form of gravitation potential can be extented to the inverse proportional force field and other power force field. The discrimination formula of the closed orbits is given. Finally，if the central force contains an r-2 term and an r-3 term，as provided by relativistic corrections，then the orbit is closed and is in the form of a precessing ellipse. Finally the precessing angular velocity of the ellipse is calculated. |
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