Families / Sofia searches
Figure-8 satellites
Stable orbits found by an exhaustive search of the figure-eight’s neighbourhood: each traces the eight with extra loops and twists, and every one is linearly stable to 40 digits.
Figure-8 satellites are periodic solutions of the planar three-body problem. The atlas holds 196 of them, with periods from 73.74 to 857.6, all with equal masses; all of them are linearly stable. They come from Hristov, Hristova & Tanikawa (2026), An extensive search for stable periodic orbits of the equal-mass zero angular momentum three-body problem. Every orbit is precomputed to machine precision and plays one period at a time; open one to watch it, nudge it or rate it.
Hristov, Hristova & Tanikawa (2026). An extensive search for stable periodic orbits of the equal-mass zero angular momentum three-body problem. New Astronomy 125 (link)
All 196 orbits
Figure-8 satellite HS.10
Figure-8 satellite HS.33
Figure-8 satellite HS.34
Figure-8 satellite HS.36
Figure-8 satellite HS.38
Figure-8 satellite HS.67
Figure-8 satellite HS.69
Figure-8 satellite HS.71
Figure-8 satellite HS.73
Figure-8 satellite HS.87
Figure-8 satellite HS.88
Figure-8 satellite HS.89
Figure-8 satellite HS.105
Figure-8 satellite HS.106
Figure-8 satellite HS.107
Figure-8 satellite HS.108
Figure-8 satellite HS.123
Figure-8 satellite HS.125
Figure-8 satellite HS.127
Figure-8 satellite HS.129
Figure-8 satellite HS.151
Figure-8 satellite HS.153
Figure-8 satellite HS.154
Figure-8 satellite HS.160
Figure-8 satellite HS.162
Figure-8 satellite HS.164
Figure-8 satellite HS.191
Figure-8 satellite HS.193
Figure-8 satellite HS.195
Figure-8 satellite HS.197
Figure-8 satellite HS.199
Figure-8 satellite HS.201
Figure-8 satellite HS.212
Figure-8 satellite HS.226
Figure-8 satellite HS.228
Figure-8 satellite HS.230
Figure-8 satellite HS.240
Figure-8 satellite HS.241
Figure-8 satellite HS.242
Figure-8 satellite HS.247
Figure-8 satellite HS.249
Figure-8 satellite HS.261
Figure-8 satellite HS.263
Figure-8 satellite HS.273
Figure-8 satellite HS.275
Figure-8 satellite HS.295
Figure-8 satellite HS.297
Figure-8 satellite HS.299
Figure-8 satellite HS.300
Figure-8 satellite HS.301
Figure-8 satellite HS.302
Figure-8 satellite HS.304
Figure-8 satellite HS.308
Figure-8 satellite HS.310
Figure-8 satellite HS.312
Figure-8 satellite HS.321
Figure-8 satellite HS.323
Figure-8 satellite HS.332
Figure-8 satellite HS.334
Figure-8 satellite HS.342
Figure-8 satellite HS.345
Figure-8 satellite HS.348
Figure-8 satellite HS.350
Figure-8 satellite HS.352
Figure-8 satellite HS.354
Figure-8 satellite HS.356
Figure-8 satellite HS.358
Figure-8 satellite HS.378
Figure-8 satellite HS.399
Figure-8 satellite HS.401
Figure-8 satellite HS.403
Figure-8 satellite HS.405
Figure-8 satellite HS.407
Figure-8 satellite HS.409
Figure-8 satellite HS.411
Figure-8 satellite HS.413
Figure-8 satellite HS.415
Figure-8 satellite HS.425
Figure-8 satellite HS.426
Figure-8 satellite HS.441
Figure-8 satellite HS.443
Figure-8 satellite HS.459
Figure-8 satellite HS.461
Figure-8 satellite HS.463
Figure-8 satellite HS.465
Figure-8 satellite HS.467
Figure-8 satellite HS.469
Figure-8 satellite HS.478
Figure-8 satellite HS.480
Figure-8 satellite HS.482
Figure-8 satellite HS.486
Figure-8 satellite HS.494
Figure-8 satellite HS.505
Figure-8 satellite HS.506
Figure-8 satellite HS.507
Figure-8 satellite HS.508
Figure-8 satellite HS.509
Figure-8 satellite HS.510
Figure-8 satellite HS.512
Figure-8 satellite HS.513
Figure-8 satellite HS.515
Figure-8 satellite HS.535
Figure-8 satellite HS.544
Figure-8 satellite HS.546
Figure-8 satellite HS.560
Figure-8 satellite HS.562
Figure-8 satellite HS.564
Figure-8 satellite HS.566
Figure-8 satellite HS.568
Figure-8 satellite HS.570
Figure-8 satellite HS.572
Figure-8 satellite HS.588
Figure-8 satellite HS.590
Figure-8 satellite HS.592
Figure-8 satellite HS.597
Figure-8 satellite HS.599
Figure-8 satellite HS.624
Figure-8 satellite HS.625
Figure-8 satellite HS.626
Figure-8 satellite HS.627
Figure-8 satellite HS.640
Figure-8 satellite HS.642
Figure-8 satellite HS.644
Figure-8 satellite HS.664
Figure-8 satellite HS.667
Figure-8 satellite HS.669
Figure-8 satellite HS.670
Figure-8 satellite HS.684
Figure-8 satellite HS.686
Figure-8 satellite HS.688
Figure-8 satellite HS.690
Figure-8 satellite HS.698
Figure-8 satellite HS.699
Figure-8 satellite HS.701
Figure-8 satellite HS.703
Figure-8 satellite HS.705
Figure-8 satellite HS.707
Figure-8 satellite HS.709
Figure-8 satellite HS.711
Figure-8 satellite HS.713
Figure-8 satellite HS.715
Figure-8 satellite HS.723
Figure-8 satellite HS.728
Figure-8 satellite HS.730
Figure-8 satellite HS.750
Figure-8 satellite HS.759
Figure-8 satellite HS.761
Figure-8 satellite HS.763
Figure-8 satellite HS.765
Figure-8 satellite HS.767
Figure-8 satellite HS.769
Figure-8 satellite HS.771
Figure-8 satellite HS.773
Figure-8 satellite HS.775
Figure-8 satellite HS.777
Figure-8 satellite HS.801
Figure-8 satellite HS.802
Figure-8 satellite HS.803
Figure-8 satellite HS.804
Figure-8 satellite HS.805
Figure-8 satellite HS.807
Figure-8 satellite HS.808
Figure-8 satellite HS.809
Figure-8 satellite HS.811
Figure-8 satellite HS.823
Figure-8 satellite HS.836
Figure-8 satellite HS.837
Figure-8 satellite HS.839
Figure-8 satellite HS.841
Figure-8 satellite HS.860
Figure-8 satellite HS.862
Figure-8 satellite HS.864
Figure-8 satellite HS.866
Figure-8 satellite HS.868
Figure-8 satellite HS.879
Figure-8 satellite HS.906
Figure-8 satellite HS.908
Figure-8 satellite HS.910
Figure-8 satellite HS.923
Figure-8 satellite HS.926
Figure-8 satellite HS.928
Figure-8 satellite HS.929
Figure-8 satellite HS.930
Figure-8 satellite HS.932
Figure-8 satellite HS.933
Figure-8 satellite HS.935
Figure-8 satellite HS.936
Figure-8 satellite HS.938
Figure-8 satellite HS.940
Figure-8 satellite HS.941
Figure-8 satellite HS.942
Figure-8 satellite HS.944
Figure-8 satellite HS.952
Figure-8 satellite HS.954
Figure-8 satellite HS.956
Figure-8 satellite HS.958