Free Access
Table 1
Types and initial conditions 
of
the orbits shown in Figs. 6a–h and 7a–h.
| Figure | Type | R 0 |
|
T per |
|
|
||||
| 6a | box | 2.34000000 | 0.00000000 | – |
| 6b | 2:1 banana | 8.28929529 | 0.00000000 | 2.19869972 |
| 6c | 1:1 linear | 4.05253686 | 34.1059591 | 1.31155743 |
| 6d | 4:3 boxlet | 12.6071432 | 0.00000000 | 5.29392834 |
| 6e | 6:3 boxlet | 2.84576284 | 9.03961105 | 14.1859568 |
| 6f | 10:5 boxlet | 4.48765950 | 0.00000000 | 11.4173302 |
| 6g | 12:7 boxlet | 1.60478185 | 0.00000000 | 16.9198138 |
| 6h | chaotic | 0.18000000 | 0.00000000 | – |
| 7a | box | 1.30000000 | 0.00000000 | – |
| 7b | 2:1 banana | 6.00338292 | 0.00000000 | 1.93777021 |
| 7c | 1:1 linear | 5.04686633 | 30.9252396 | 1.30240567 |
| 7d | 3:2 boxlet | 1.50953110 | 20.2079017 | 3.75035732 |
| 7e | 4:3 boxlet | 11.7079492 | 0.00000000 | 5.12892115 |
| 7f | 8:5 boxlet | 9.97146568 | 0.00000000 | 9.79669202 |
| 7g | 13:8 boxlet | 9.53161067 | 0.00000000 | 15.8235994 |
| 7h | chaotic | 0.18000000 | 0.00000000 | – |
Notes. In all cases, z0 = 0 and ż0 are found from the energy integral, Eq. (9). Tper is the period of the parent periodic orbits.
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