Three Body Orbits

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Moth region

Stable orbits from the moth-like part of the search domain, between the figure-eight and the Schubart regions.

Moth region are periodic solutions of the planar three-body problem. The atlas holds 103 of them, with periods from 104.5 to 548.2, 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)

See them on the mapOpen Moth region HS.44

All 103 orbits

Moth region HS.44, a periodic three-body orbitMoth region HS.44T 104.5 stableMoth region HS.84, a periodic three-body orbitMoth region HS.84T 149.4 stableMoth region HS.97, a periodic three-body orbitMoth region HS.97T 245.5 stableMoth region HS.112, a periodic three-body orbitMoth region HS.112T 193.4 stableMoth region HS.115, a periodic three-body orbitMoth region HS.115T 213.6 stableMoth region HS.131, a periodic three-body orbitMoth region HS.131T 207.4 stableMoth region HS.132, a periodic three-body orbitMoth region HS.132T 193.9 stableMoth region HS.135, a periodic three-body orbitMoth region HS.135T 214.6 stableMoth region HS.147, a periodic three-body orbitMoth region HS.147T 206.9 stableMoth region HS.148, a periodic three-body orbitMoth region HS.148T 227.3 stableMoth region HS.203, a periodic three-body orbitMoth region HS.203T 237.1 stableMoth region HS.208, a periodic three-body orbitMoth region HS.208T 261.5 stableMoth region HS.209, a periodic three-body orbitMoth region HS.209T 238.6 stableMoth region HS.210, a periodic three-body orbitMoth region HS.210T 244.5 stableMoth region HS.213, a periodic three-body orbitMoth region HS.213T 258.4 stableMoth region HS.217, a periodic three-body orbitMoth region HS.217T 250.3 stableMoth region HS.221, a periodic three-body orbitMoth region HS.221T 272.1 stableMoth region HS.235, a periodic three-body orbitMoth region HS.235T 246.5 stableMoth region HS.237, a periodic three-body orbitMoth region HS.237T 252.2 stableMoth region HS.246, a periodic three-body orbitMoth region HS.246T 285.5 stableMoth region HS.257, a periodic three-body orbitMoth region HS.257T 308.4 stableMoth region HS.266, a periodic three-body orbitMoth region HS.266T 280.6 stableMoth region HS.281, a periodic three-body orbitMoth region HS.281T 283.2 stableMoth region HS.283, a periodic three-body orbitMoth region HS.283T 291.8 stableMoth region HS.292, a periodic three-body orbitMoth region HS.292T 325.2 stableMoth region HS.314, a periodic three-body orbitMoth region HS.314T 298.5 stableMoth region HS.322, a periodic three-body orbitMoth region HS.322T 329.5 stableMoth region HS.329, a periodic three-body orbitMoth region HS.329T 312.4 stableMoth region HS.330, a periodic three-body orbitMoth region HS.330T 309.7 stableMoth region HS.337, a periodic three-body orbitMoth region HS.337T 326.0 stableMoth region HS.338, a periodic three-body orbitMoth region HS.338T 306.4 stableMoth region HS.344, a periodic three-body orbitMoth region HS.344T 343.7 stableMoth region HS.360, a periodic three-body orbitMoth region HS.360T 300.0 stableMoth region HS.367, a periodic three-body orbitMoth region HS.367T 344.5 stableMoth region HS.375, a periodic three-body orbitMoth region HS.375T 316.8 stableMoth region HS.376, a periodic three-body orbitMoth region HS.376T 322.9 stableMoth region HS.383, a periodic three-body orbitMoth region HS.383T 344.1 stableMoth region HS.389, a periodic three-body orbitMoth region HS.389T 355.6 stableMoth region HS.390, a periodic three-body orbitMoth region HS.390T 326.7 stableMoth region HS.393, a periodic three-body orbitMoth region HS.393T 328.3 stableMoth region HS.417, a periodic three-body orbitMoth region HS.417T 358.0 stableMoth region HS.423, a periodic three-body orbitMoth region HS.423T 359.1 stableMoth region HS.424, a periodic three-body orbitMoth region HS.424T 358.5 stableMoth region HS.439, a periodic three-body orbitMoth region HS.439T 364.7 stableMoth region HS.471, a periodic three-body orbitMoth region HS.471T 345.2 stableMoth region HS.474, a periodic three-body orbitMoth region HS.474T 402.5 stableMoth region HS.477, a periodic three-body orbitMoth region HS.477T 379.3 stableMoth region HS.484, a periodic three-body orbitMoth region HS.484T 386.9 stableMoth region HS.496, a periodic three-body orbitMoth region HS.496T 400.7 stableMoth region HS.497, a periodic three-body orbitMoth region HS.497T 368.3 stableMoth region HS.498, a periodic three-body orbitMoth region HS.498T 388.2 stableMoth region HS.503, a periodic three-body orbitMoth region HS.503T 374.2 stableMoth region HS.525, a periodic three-body orbitMoth region HS.525T 399.4 stableMoth region HS.526, a periodic three-body orbitMoth region HS.526T 359.6 stableMoth region HS.537, a periodic three-body orbitMoth region HS.537T 413.7 stableMoth region HS.538, a periodic three-body orbitMoth region HS.538T 383.0 stableMoth region HS.575, a periodic three-body orbitMoth region HS.575T 425.2 stableMoth region HS.576, a periodic three-body orbitMoth region HS.576T 431.5 stableMoth region HS.577, a periodic three-body orbitMoth region HS.577T 395.5 stableMoth region HS.605, a periodic three-body orbitMoth region HS.605T 425.9 stableMoth region HS.606, a periodic three-body orbitMoth region HS.606T 417.4 stableMoth region HS.617, a periodic three-body orbitMoth region HS.617T 401.5 stableMoth region HS.618, a periodic three-body orbitMoth region HS.618T 415.9 stableMoth region HS.620, a periodic three-body orbitMoth region HS.620T 415.8 stableMoth region HS.629, a periodic three-body orbitMoth region HS.629T 436.8 stableMoth region HS.631, a periodic three-body orbitMoth region HS.631T 444.3 stableMoth region HS.632, a periodic three-body orbitMoth region HS.632T 413.3 stableMoth region HS.653, a periodic three-body orbitMoth region HS.653T 475.7 stableMoth region HS.661, a periodic three-body orbitMoth region HS.661T 443.6 stableMoth region HS.662, a periodic three-body orbitMoth region HS.662T 416.4 stableMoth region HS.674, a periodic three-body orbitMoth region HS.674T 400.1 stableMoth region HS.676, a periodic three-body orbitMoth region HS.676T 458.0 stableMoth region HS.696, a periodic three-body orbitMoth region HS.696T 428.8 stableMoth region HS.725, a periodic three-body orbitMoth region HS.725T 419.0 stableMoth region HS.727, a periodic three-body orbitMoth region HS.727T 430.5 stableMoth region HS.732, a periodic three-body orbitMoth region HS.732T 497.1 stableMoth region HS.734, a periodic three-body orbitMoth region HS.734T 465.4 stableMoth region HS.735, a periodic three-body orbitMoth region HS.735T 437.0 stableMoth region HS.744, a periodic three-body orbitMoth region HS.744T 472.6 stableMoth region HS.754, a periodic three-body orbitMoth region HS.754T 446.8 stableMoth region HS.755, a periodic three-body orbitMoth region HS.755T 483.8 stableMoth region HS.782, a periodic three-body orbitMoth region HS.782T 442.2 stableMoth region HS.815, a periodic three-body orbitMoth region HS.815T 487.3 stableMoth region HS.822, a periodic three-body orbitMoth region HS.822T 452.5 stableMoth region HS.846, a periodic three-body orbitMoth region HS.846T 448.9 stableMoth region HS.847, a periodic three-body orbitMoth region HS.847T 461.7 stableMoth region HS.848, a periodic three-body orbitMoth region HS.848T 463.1 stableMoth region HS.856, a periodic three-body orbitMoth region HS.856T 512.1 stableMoth region HS.859, a periodic three-body orbitMoth region HS.859T 491.3 stableMoth region HS.870, a periodic three-body orbitMoth region HS.870T 477.6 stableMoth region HS.874, a periodic three-body orbitMoth region HS.874T 476.8 stableMoth region HS.878, a periodic three-body orbitMoth region HS.878T 515.4 stableMoth region HS.892, a periodic three-body orbitMoth region HS.892T 548.2 stableMoth region HS.894, a periodic three-body orbitMoth region HS.894T 541.8 stableMoth region HS.904, a periodic three-body orbitMoth region HS.904T 459.4 stableMoth region HS.922, a periodic three-body orbitMoth region HS.922T 531.1 stableMoth region HS.945, a periodic three-body orbitMoth region HS.945T 523.0 stableMoth region HS.946, a periodic three-body orbitMoth region HS.946T 480.1 stableMoth region HS.948, a periodic three-body orbitMoth region HS.948T 522.1 stableMoth region HS.950, a periodic three-body orbitMoth region HS.950T 494.9 stableMoth region HS.951, a periodic three-body orbitMoth region HS.951T 529.9 stableMoth region HS.960, a periodic three-body orbitMoth region HS.960T 516.6 stableMoth region HS.965, a periodic three-body orbitMoth region HS.965T 478.8 stable