Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (5): 421-428.

• 论文 • 上一篇    下一篇

WHY WE HAVE NOT YET FOUND A RETROGRADE PLANET IN THE SOLAR SYSTEM?

汪家訸   

  1. Zhejiang University, Hangzhou
  • 收稿日期:1988-05-30 出版日期:1990-05-18 发布日期:1990-05-18

WHY WE HAVE NOT YET FOUND A RETROGRADE PLANET IN THE SOLAR SYSTEM?

Wong Chia-ho   

  1. Zhejiang University, Hangzhou
  • Received:1988-05-30 Online:1990-05-18 Published:1990-05-18

摘要: In this paper we use the Jacobian integral of the circular restricted three-body problem to establish a testing function of a moving testing particle when it moves like a planet. This function determines whether or not the particle will stay in a definite region (which may be called "stable region", SR). By means of checking with an electronic computer, we can find that the SR of quasicircular orbit of retrograde planet motion is much less than the SR of direct planet motion. It is the reason why the existence of a retrograde planet is very rare.

关键词: principle of superposition, stress intensity factor, interaction effect, micro-crack zone

Abstract: In this paper we use the Jacobian integral of the circular restricted three-body problem to establish a testing function of a moving testing particle when it moves like a planet. This function determines whether or not the particle will stay in a definite region (which may be called "stable region", SR). By means of checking with an electronic computer, we can find that the SR of quasicircular orbit of retrograde planet motion is much less than the SR of direct planet motion. It is the reason why the existence of a retrograde planet is very rare.

Key words: principle of superposition, stress intensity factor, interaction effect, micro-crack zone

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