Collision Orbits for Small Mass Ratio in the Restricted Three Body Problem
The existence of the j-type collision periodic orbit is examined on the condition of mass ratio 0.9878449 and Jacobian constant 2.9 ¡3.4. Using the Birckhoff's regularization method and the 5th order Runge-Kutta variable step-sized numerical integration routine introduced by Fehlberg(1968), we...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Korean Space Science Society (KSSS)
1988-06-01
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| Series: | Journal of Astronomy and Space Sciences |
| Online Access: | http://ocean.kisti.re.kr/downfile/volume/kosss/OJOOBS/1988/v5n1/OJOOBS_1988_v5n1_19.pdf |
| Summary: | The existence of the j-type collision periodic orbit is examined on the condition of mass ratio 0.9878449 and Jacobian constant 2.9 ¡3.4. Using the Birckhoff's regularization method and the 5th order Runge-Kutta variable step-sized numerical integration routine introduced by Fehlberg(1968), we test their periodicities. As the results, 4 j-type collision orbits and 5 peculiar orbits are represented. There are good agreements in this collision orbits with the relationship between the period and the shape of orbit proposed by Pinotsis and Zikides(1984). |
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| ISSN: | 2093-5587 2093-1409 |