Periodic Solutions for Circular Restricted 𝑁+1-Body Problems

Table 1

Parameters of test loops for Theoerm 2.

𝑁	𝑎	𝑏	𝜃	𝑑0	𝑑2
2	0.11	0.29	𝜋/2	9.813298	9.753899
2	0.13	0.25	𝜋	9.813298	9.753243
2	0.13	0.27	𝜋	9.813298	9.643849
2	0.15	0.21	𝜋	9.813298	9.790068
2	0.15	0.23	𝜋/5	9.813298	9.746803
2	0.17	0.19	𝜋	9.813298	9.751237
2	0.17	0.21	𝜋/5	9.813298	9.625193
2	0.19	0.17	𝜋	9.813298	9.784859
2	0.19	0.19	𝜋	9.813298	9.564603
2	0.21	0.21	𝜋	9.813298	9.279445
2	0.23	0.15	𝜋	9.813298	9.793205
2	0.23	0.23	𝜋/5	9.813298	9.109854
2	0.25	0.13	𝜋/2	9.813298	9.730925
2	0.25	0.25	𝜋/5	9.813298	9.038706
3	0.15	0.67	𝜋/30	11.523843	11.505860
3	0.15	0.69	𝜋/30	11.523843	11.444212
3	0.17	0.65	𝜋/30	11.523843	11.493238
3	0.17	0.67	𝜋/20	11.523843	11.452135
3	0.17	0.69	𝜋/20	11.523843	11.400124
3	0.19	0.63	𝜋/30	11.523843	11.519350
3	0.19	0.65	𝜋/20	11.523843	11.455969
3	0.19	0.67	𝜋/20	11.523843	11.386608
3	0.61	0.23	𝜋	11.523843	11.516685
3	0.63	0.19	𝜋	11.523843	11.489791
3	0.63	0.21	𝜋	11.523843	11.436105
3	0.65	0.17	𝜋	11.523843	11.461786
3	0.65	0.19	𝜋	11.523843	11.392115
3	0.65	0.21	𝜋	11.523843	11.349366
3	0.67	0.15	𝜋	11.523843	11.472422
3	0.67	0.17	𝜋	11.523843	11.383978
3	0.67	0.19	𝜋	11.523843	11.324970
3	0.69	0.13	𝜋	11.523843	11.522980
3	0.69	0.15	𝜋	11.523843	11.412094
3	0.69	0.17	𝜋	11.523843	11.334189