Three Body Orbits

Families / Sofia searches

Schubart region

Stable orbits that pass extremely close to a binary collision, descended from Schubart’s rectilinear orbit. They needed 100-digit arithmetic to find.

Schubart region are periodic solutions of the planar three-body problem. The atlas holds 213 of them, with periods from 80.3 to 383.9, 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 213 orbits

Schubart region HS.75, a periodic three-body orbitSchubart region HS.75T 80.30 stableSchubart region HS.94, a periodic three-body orbitSchubart region HS.94T 114.6 stableSchubart region HS.95, a periodic three-body orbitSchubart region HS.95T 104.0 stableSchubart region HS.100, a periodic three-body orbitSchubart region HS.100T 136.0 stableSchubart region HS.101, a periodic three-body orbitSchubart region HS.101T 91.18 stableSchubart region HS.111, a periodic three-body orbitSchubart region HS.111T 117.9 stableSchubart region HS.118, a periodic three-body orbitSchubart region HS.118T 131.3 stableSchubart region HS.119, a periodic three-body orbitSchubart region HS.119T 141.7 stableSchubart region HS.120, a periodic three-body orbitSchubart region HS.120T 110.1 stableSchubart region HS.122, a periodic three-body orbitSchubart region HS.122T 153.6 stableSchubart region HS.133, a periodic three-body orbitSchubart region HS.133T 141.1 stableSchubart region HS.134, a periodic three-body orbitSchubart region HS.134T 131.5 stableSchubart region HS.141, a periodic three-body orbitSchubart region HS.141T 103.0 stableSchubart region HS.144, a periodic three-body orbitSchubart region HS.144T 131.7 stableSchubart region HS.149, a periodic three-body orbitSchubart region HS.149T 145.5 stableSchubart region HS.167, a periodic three-body orbitSchubart region HS.167T 130.4 stableSchubart region HS.172, a periodic three-body orbitSchubart region HS.172T 119.2 stableSchubart region HS.174, a periodic three-body orbitSchubart region HS.174T 160.8 stableSchubart region HS.175, a periodic three-body orbitSchubart region HS.175T 152.1 stableSchubart region HS.177, a periodic three-body orbitSchubart region HS.177T 114.9 stableSchubart region HS.180, a periodic three-body orbitSchubart region HS.180T 122.2 stableSchubart region HS.185, a periodic three-body orbitSchubart region HS.185T 185.0 stableSchubart region HS.187, a periodic three-body orbitSchubart region HS.187T 159.0 stableSchubart region HS.189, a periodic three-body orbitSchubart region HS.189T 124.0 stableSchubart region HS.206, a periodic three-body orbitSchubart region HS.206T 159.2 stableSchubart region HS.207, a periodic three-body orbitSchubart region HS.207T 187.4 stableSchubart region HS.215, a periodic three-body orbitSchubart region HS.215T 128.8 stableSchubart region HS.232, a periodic three-body orbitSchubart region HS.232T 172.8 stableSchubart region HS.233, a periodic three-body orbitSchubart region HS.233T 132.7 stableSchubart region HS.244, a periodic three-body orbitSchubart region HS.244T 134.0 stableSchubart region HS.251, a periodic three-body orbitSchubart region HS.251T 203.9 stableSchubart region HS.259, a periodic three-body orbitSchubart region HS.259T 186.7 stableSchubart region HS.265, a periodic three-body orbitSchubart region HS.265T 143.9 stableSchubart region HS.270, a periodic three-body orbitSchubart region HS.270T 207.1 stableSchubart region HS.271, a periodic three-body orbitSchubart region HS.271T 221.5 stableSchubart region HS.272, a periodic three-body orbitSchubart region HS.272T 204.3 stableSchubart region HS.274, a periodic three-body orbitSchubart region HS.274T 193.7 stableSchubart region HS.277, a periodic three-body orbitSchubart region HS.277T 219.0 stableSchubart region HS.287, a periodic three-body orbitSchubart region HS.287T 229.3 stableSchubart region HS.288, a periodic three-body orbitSchubart region HS.288T 200.8 stableSchubart region HS.289, a periodic three-body orbitSchubart region HS.289T 226.1 stableSchubart region HS.294, a periodic three-body orbitSchubart region HS.294T 194.8 stableSchubart region HS.306, a periodic three-body orbitSchubart region HS.306T 226.9 stableSchubart region HS.316, a periodic three-body orbitSchubart region HS.316T 192.5 stableSchubart region HS.317, a periodic three-body orbitSchubart region HS.317T 222.7 stableSchubart region HS.325, a periodic three-body orbitSchubart region HS.325T 217.6 stableSchubart region HS.327, a periodic three-body orbitSchubart region HS.327T 244.9 stableSchubart region HS.336, a periodic three-body orbitSchubart region HS.336T 219.2 stableSchubart region HS.339, a periodic three-body orbitSchubart region HS.339T 188.1 stableSchubart region HS.341, a periodic three-body orbitSchubart region HS.341T 240.0 stableSchubart region HS.347, a periodic three-body orbitSchubart region HS.347T 230.0 stableSchubart region HS.362, a periodic three-body orbitSchubart region HS.362T 209.9 stableSchubart region HS.364, a periodic three-body orbitSchubart region HS.364T 203.3 stableSchubart region HS.366, a periodic three-body orbitSchubart region HS.366T 188.1 stableSchubart region HS.369, a periodic three-body orbitSchubart region HS.369T 226.0 stableSchubart region HS.380, a periodic three-body orbitSchubart region HS.380T 246.9 stableSchubart region HS.382, a periodic three-body orbitSchubart region HS.382T 231.1 stableSchubart region HS.384, a periodic three-body orbitSchubart region HS.384T 248.4 stableSchubart region HS.385, a periodic three-body orbitSchubart region HS.385T 244.3 stableSchubart region HS.388, a periodic three-body orbitSchubart region HS.388T 184.1 stableSchubart region HS.391, a periodic three-body orbitSchubart region HS.391T 208.7 stableSchubart region HS.392, a periodic three-body orbitSchubart region HS.392T 236.6 stableSchubart region HS.395, a periodic three-body orbitSchubart region HS.395T 218.9 stableSchubart region HS.418, a periodic three-body orbitSchubart region HS.418T 268.7 stableSchubart region HS.419, a periodic three-body orbitSchubart region HS.419T 232.6 stableSchubart region HS.427, a periodic three-body orbitSchubart region HS.427T 262.9 stableSchubart region HS.428, a periodic three-body orbitSchubart region HS.428T 262.8 stableSchubart region HS.429, a periodic three-body orbitSchubart region HS.429T 206.1 stableSchubart region HS.431, a periodic three-body orbitSchubart region HS.431T 235.0 stableSchubart region HS.432, a periodic three-body orbitSchubart region HS.432T 274.7 stableSchubart region HS.433, a periodic three-body orbitSchubart region HS.433T 264.0 stableSchubart region HS.445, a periodic three-body orbitSchubart region HS.445T 254.1 stableSchubart region HS.447, a periodic three-body orbitSchubart region HS.447T 272.8 stableSchubart region HS.453, a periodic three-body orbitSchubart region HS.453T 249.1 stableSchubart region HS.455, a periodic three-body orbitSchubart region HS.455T 259.7 stableSchubart region HS.456, a periodic three-body orbitSchubart region HS.456T 185.8 stableSchubart region HS.458, a periodic three-body orbitSchubart region HS.458T 250.7 stableSchubart region HS.472, a periodic three-body orbitSchubart region HS.472T 242.0 stableSchubart region HS.473, a periodic three-body orbitSchubart region HS.473T 246.7 stableSchubart region HS.476, a periodic three-body orbitSchubart region HS.476T 275.9 stableSchubart region HS.488, a periodic three-body orbitSchubart region HS.488T 278.9 stableSchubart region HS.491, a periodic three-body orbitSchubart region HS.491T 289.2 stableSchubart region HS.493, a periodic three-body orbitSchubart region HS.493T 260.1 stableSchubart region HS.499, a periodic three-body orbitSchubart region HS.499T 217.9 stableSchubart region HS.504, a periodic three-body orbitSchubart region HS.504T 260.5 stableSchubart region HS.516, a periodic three-body orbitSchubart region HS.516T 209.6 stableSchubart region HS.518, a periodic three-body orbitSchubart region HS.518T 195.5 stableSchubart region HS.520, a periodic three-body orbitSchubart region HS.520T 196.3 stableSchubart region HS.522, a periodic three-body orbitSchubart region HS.522T 193.7 stableSchubart region HS.524, a periodic three-body orbitSchubart region HS.524T 297.0 stableSchubart region HS.528, a periodic three-body orbitSchubart region HS.528T 223.8 stableSchubart region HS.530, a periodic three-body orbitSchubart region HS.530T 290.1 stableSchubart region HS.534, a periodic three-body orbitSchubart region HS.534T 270.8 stableSchubart region HS.539, a periodic three-body orbitSchubart region HS.539T 233.9 stableSchubart region HS.542, a periodic three-body orbitSchubart region HS.542T 285.6 stableSchubart region HS.547, a periodic three-body orbitSchubart region HS.547T 208.6 stableSchubart region HS.549, a periodic three-body orbitSchubart region HS.549T 294.2 stableSchubart region HS.551, a periodic three-body orbitSchubart region HS.551T 277.5 stableSchubart region HS.552, a periodic three-body orbitSchubart region HS.552T 201.8 stableSchubart region HS.554, a periodic three-body orbitSchubart region HS.554T 301.6 stableSchubart region HS.555, a periodic three-body orbitSchubart region HS.555T 231.3 stableSchubart region HS.558, a periodic three-body orbitSchubart region HS.558T 221.5 stableSchubart region HS.574, a periodic three-body orbitSchubart region HS.574T 274.2 stableSchubart region HS.578, a periodic three-body orbitSchubart region HS.578T 296.9 stableSchubart region HS.580, a periodic three-body orbitSchubart region HS.580T 203.2 stableSchubart region HS.584, a periodic three-body orbitSchubart region HS.584T 301.7 stableSchubart region HS.586, a periodic three-body orbitSchubart region HS.586T 273.3 stableSchubart region HS.589, a periodic three-body orbitSchubart region HS.589T 223.9 stableSchubart region HS.594, a periodic three-body orbitSchubart region HS.594T 206.5 stableSchubart region HS.596, a periodic three-body orbitSchubart region HS.596T 281.1 stableSchubart region HS.601, a periodic three-body orbitSchubart region HS.601T 224.7 stableSchubart region HS.603, a periodic three-body orbitSchubart region HS.603T 320.4 stableSchubart region HS.604, a periodic three-body orbitSchubart region HS.604T 285.7 stableSchubart region HS.607, a periodic three-body orbitSchubart region HS.607T 315.0 stableSchubart region HS.608, a periodic three-body orbitSchubart region HS.608T 309.3 stableSchubart region HS.610, a periodic three-body orbitSchubart region HS.610T 294.6 stableSchubart region HS.612, a periodic three-body orbitSchubart region HS.612T 295.5 stableSchubart region HS.613, a periodic three-body orbitSchubart region HS.613T 290.9 stableSchubart region HS.614, a periodic three-body orbitSchubart region HS.614T 264.7 stableSchubart region HS.621, a periodic three-body orbitSchubart region HS.621T 270.0 stableSchubart region HS.623, a periodic three-body orbitSchubart region HS.623T 317.0 stableSchubart region HS.630, a periodic three-body orbitSchubart region HS.630T 225.9 stableSchubart region HS.636, a periodic three-body orbitSchubart region HS.636T 213.0 stableSchubart region HS.638, a periodic three-body orbitSchubart region HS.638T 249.6 stableSchubart region HS.646, a periodic three-body orbitSchubart region HS.646T 249.0 stableSchubart region HS.648, a periodic three-body orbitSchubart region HS.648T 228.2 stableSchubart region HS.650, a periodic three-body orbitSchubart region HS.650T 227.7 stableSchubart region HS.652, a periodic three-body orbitSchubart region HS.652T 325.0 stableSchubart region HS.655, a periodic three-body orbitSchubart region HS.655T 323.3 stableSchubart region HS.663, a periodic three-body orbitSchubart region HS.663T 214.4 stableSchubart region HS.666, a periodic three-body orbitSchubart region HS.666T 294.7 stableSchubart region HS.671, a periodic three-body orbitSchubart region HS.671T 322.8 stableSchubart region HS.672, a periodic three-body orbitSchubart region HS.672T 336.2 stableSchubart region HS.673, a periodic three-body orbitSchubart region HS.673T 299.8 stableSchubart region HS.678, a periodic three-body orbitSchubart region HS.678T 305.4 stableSchubart region HS.680, a periodic three-body orbitSchubart region HS.680T 325.0 stableSchubart region HS.682, a periodic three-body orbitSchubart region HS.682T 218.7 stableSchubart region HS.692, a periodic three-body orbitSchubart region HS.692T 247.1 stableSchubart region HS.694, a periodic three-body orbitSchubart region HS.694T 301.5 stableSchubart region HS.697, a periodic three-body orbitSchubart region HS.697T 315.4 stableSchubart region HS.717, a periodic three-body orbitSchubart region HS.717T 342.1 stableSchubart region HS.718, a periodic three-body orbitSchubart region HS.718T 341.2 stableSchubart region HS.719, a periodic three-body orbitSchubart region HS.719T 281.1 stableSchubart region HS.720, a periodic three-body orbitSchubart region HS.720T 301.1 stableSchubart region HS.736, a periodic three-body orbitSchubart region HS.736T 335.2 stableSchubart region HS.737, a periodic three-body orbitSchubart region HS.737T 313.4 stableSchubart region HS.738, a periodic three-body orbitSchubart region HS.738T 235.6 stableSchubart region HS.740, a periodic three-body orbitSchubart region HS.740T 236.3 stableSchubart region HS.746, a periodic three-body orbitSchubart region HS.746T 240.0 stableSchubart region HS.747, a periodic three-body orbitSchubart region HS.747T 280.9 stableSchubart region HS.749, a periodic three-body orbitSchubart region HS.749T 349.2 stableSchubart region HS.752, a periodic three-body orbitSchubart region HS.752T 316.5 stableSchubart region HS.753, a periodic three-body orbitSchubart region HS.753T 320.8 stableSchubart region HS.756, a periodic three-body orbitSchubart region HS.756T 276.5 stableSchubart region HS.757, a periodic three-body orbitSchubart region HS.757T 341.1 stableSchubart region HS.758, a periodic three-body orbitSchubart region HS.758T 315.1 stableSchubart region HS.779, a periodic three-body orbitSchubart region HS.779T 298.4 stableSchubart region HS.780, a periodic three-body orbitSchubart region HS.780T 357.8 stableSchubart region HS.781, a periodic three-body orbitSchubart region HS.781T 320.1 stableSchubart region HS.783, a periodic three-body orbitSchubart region HS.783T 338.3 stableSchubart region HS.785, a periodic three-body orbitSchubart region HS.785T 270.4 stableSchubart region HS.790, a periodic three-body orbitSchubart region HS.790T 241.4 stableSchubart region HS.792, a periodic three-body orbitSchubart region HS.792T 240.1 stableSchubart region HS.794, a periodic three-body orbitSchubart region HS.794T 240.1 stableSchubart region HS.796, a periodic three-body orbitSchubart region HS.796T 242.6 stableSchubart region HS.798, a periodic three-body orbitSchubart region HS.798T 315.2 stableSchubart region HS.799, a periodic three-body orbitSchubart region HS.799T 295.8 stableSchubart region HS.812, a periodic three-body orbitSchubart region HS.812T 307.7 stableSchubart region HS.814, a periodic three-body orbitSchubart region HS.814T 264.8 stableSchubart region HS.817, a periodic three-body orbitSchubart region HS.817T 351.8 stableSchubart region HS.819, a periodic three-body orbitSchubart region HS.819T 299.2 stableSchubart region HS.820, a periodic three-body orbitSchubart region HS.820T 274.1 stableSchubart region HS.821, a periodic three-body orbitSchubart region HS.821T 331.5 stableSchubart region HS.825, a periodic three-body orbitSchubart region HS.825T 349.3 stableSchubart region HS.827, a periodic three-body orbitSchubart region HS.827T 286.8 stableSchubart region HS.828, a periodic three-body orbitSchubart region HS.828T 275.4 stableSchubart region HS.829, a periodic three-body orbitSchubart region HS.829T 330.4 stableSchubart region HS.833, a periodic three-body orbitSchubart region HS.833T 236.6 stableSchubart region HS.834, a periodic three-body orbitSchubart region HS.834T 244.8 stableSchubart region HS.843, a periodic three-body orbitSchubart region HS.843T 301.6 stableSchubart region HS.845, a periodic three-body orbitSchubart region HS.845T 257.3 stableSchubart region HS.850, a periodic three-body orbitSchubart region HS.850T 277.5 stableSchubart region HS.852, a periodic three-body orbitSchubart region HS.852T 243.1 stableSchubart region HS.853, a periodic three-body orbitSchubart region HS.853T 274.9 stableSchubart region HS.855, a periodic three-body orbitSchubart region HS.855T 340.1 stableSchubart region HS.857, a periodic three-body orbitSchubart region HS.857T 364.1 stableSchubart region HS.858, a periodic three-body orbitSchubart region HS.858T 294.2 stableSchubart region HS.871, a periodic three-body orbitSchubart region HS.871T 294.6 stableSchubart region HS.872, a periodic three-body orbitSchubart region HS.872T 280.7 stableSchubart region HS.873, a periodic three-body orbitSchubart region HS.873T 273.8 stableSchubart region HS.876, a periodic three-body orbitSchubart region HS.876T 273.5 stableSchubart region HS.880, a periodic three-body orbitSchubart region HS.880T 249.6 stableSchubart region HS.882, a periodic three-body orbitSchubart region HS.882T 248.8 stableSchubart region HS.884, a periodic three-body orbitSchubart region HS.884T 250.0 stableSchubart region HS.886, a periodic three-body orbitSchubart region HS.886T 298.0 stableSchubart region HS.888, a periodic three-body orbitSchubart region HS.888T 290.2 stableSchubart region HS.890, a periodic three-body orbitSchubart region HS.890T 367.6 stableSchubart region HS.896, a periodic three-body orbitSchubart region HS.896T 371.7 stableSchubart region HS.897, a periodic three-body orbitSchubart region HS.897T 278.4 stableSchubart region HS.899, a periodic three-body orbitSchubart region HS.899T 347.6 stableSchubart region HS.912, a periodic three-body orbitSchubart region HS.912T 372.7 stableSchubart region HS.913, a periodic three-body orbitSchubart region HS.913T 342.3 stableSchubart region HS.914, a periodic three-body orbitSchubart region HS.914T 253.2 stableSchubart region HS.915, a periodic three-body orbitSchubart region HS.915T 292.4 stableSchubart region HS.916, a periodic three-body orbitSchubart region HS.916T 373.9 stableSchubart region HS.918, a periodic three-body orbitSchubart region HS.918T 361.8 stableSchubart region HS.919, a periodic three-body orbitSchubart region HS.919T 350.0 stableSchubart region HS.920, a periodic three-body orbitSchubart region HS.920T 331.9 stableSchubart region HS.924, a periodic three-body orbitSchubart region HS.924T 375.4 stableSchubart region HS.962, a periodic three-body orbitSchubart region HS.962T 311.2 stableSchubart region HS.963, a periodic three-body orbitSchubart region HS.963T 330.5 stableSchubart region HS.967, a periodic three-body orbitSchubart region HS.967T 383.9 stableSchubart region HS.969, a periodic three-body orbitSchubart region HS.969T 296.6 stable