Three Body Orbits

Families / Free-fall

Free-fall orbits

Three bodies released from rest fall together, swing past each other and return to rest exactly where they started.

Free-fall orbits are periodic solutions of the planar three-body problem. The atlas holds 311 of them, with periods from 1.829 to 31.03, for several mass ratios; none is linearly stable. They come from Li & Liao (2019), Collisionless periodic orbits in the free-fall 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.

Li & Liao (2019). Collisionless periodic orbits in the free-fall three-body problem. New Astronomy 70, 22–26 (doi)

See them on the mapOpen Free-fall F1

All 311 orbits

Free-fall F1, a periodic three-body orbitFree-fall F1 (1, 0.1, 0.01)T 4.124Free-fall F1, a periodic three-body orbitFree-fall F1 (1, 0.8, 0.2)T 2.939Free-fall F1, a periodic three-body orbitFree-fall F1 (1, 0.412, 0.267)T 2.699Free-fall F1, a periodic three-body orbitFree-fall F1 (1, 0.8, 0.4)T 2.630Free-fall F1, a periodic three-body orbitFree-fall F1 (1, 0.8, 0.6)T 2.803Free-fall F1, a periodic three-body orbitFree-fall F1 (0.393, 0.288, 0.662)T 7.812Free-fall F1, a periodic three-body orbitFree-fall F1 (1, 0.8, 0.8)T 1.829Free-fall F1, a periodic three-body orbitFree-fall F1 (0.6, 0.8, 1)T 2.693Free-fall F1, a periodic three-body orbitFree-fall F1T 2.174Free-fall F2, a periodic three-body orbitFree-fall F2 (1, 0.1, 0.01)T 4.172Free-fall F2, a periodic three-body orbitFree-fall F2 (1, 0.8, 0.2)T 3.019Free-fall F2, a periodic three-body orbitFree-fall F2 (1, 0.412, 0.267)T 2.724Free-fall F2, a periodic three-body orbitFree-fall F2 (1, 0.8, 0.4)T 3.991Free-fall F2, a periodic three-body orbitFree-fall F2 (1, 0.8, 0.6)T 3.496Free-fall F2, a periodic three-body orbitFree-fall F2 (0.393, 0.288, 0.662)T 5.245Free-fall F2, a periodic three-body orbitFree-fall F2 (1, 0.8, 0.8)T 2.680Free-fall F2, a periodic three-body orbitFree-fall F2 (0.6, 0.8, 1)T 2.889Free-fall F3, a periodic three-body orbitFree-fall F3 (1, 0.1, 0.01)T 3.979Free-fall F3, a periodic three-body orbitFree-fall F3 (1, 0.8, 0.2)T 3.434Free-fall F3, a periodic three-body orbitFree-fall F3 (1, 0.412, 0.267)T 3.124Free-fall F3, a periodic three-body orbitFree-fall F3 (1, 0.8, 0.4)T 2.869Free-fall F3, a periodic three-body orbitFree-fall F3 (1, 0.8, 0.6)T 2.737Free-fall F3, a periodic three-body orbitFree-fall F3 (0.393, 0.288, 0.662)T 5.828Free-fall F3, a periodic three-body orbitFree-fall F3 (1, 0.8, 0.8)T 2.550Free-fall F3, a periodic three-body orbitFree-fall F3 (0.6, 0.8, 1)T 2.253Free-fall F3, a periodic three-body orbitFree-fall F3T 4.542Free-fall F4, a periodic three-body orbitFree-fall F4 (1, 0.1, 0.01)T 7.531Free-fall F4, a periodic three-body orbitFree-fall F4 (1, 0.8, 0.2)T 2.701Free-fall F4, a periodic three-body orbitFree-fall F4 (1, 0.412, 0.267)T 3.174Free-fall F4, a periodic three-body orbitFree-fall F4 (1, 0.8, 0.4)T 3.270Free-fall F4, a periodic three-body orbitFree-fall F4 (1, 0.8, 0.6)T 4.167Free-fall F4, a periodic three-body orbitFree-fall F4 (0.393, 0.288, 0.662)T 5.303Free-fall F4, a periodic three-body orbitFree-fall F4 (1, 0.8, 0.8)T 3.170Free-fall F4, a periodic three-body orbitFree-fall F4 (0.6, 0.8, 1)T 2.381Free-fall F4, a periodic three-body orbitFree-fall F4T 5.159Free-fall F5, a periodic three-body orbitFree-fall F5 (1, 0.1, 0.01)T 4.175Free-fall F5, a periodic three-body orbitFree-fall F5 (1, 0.8, 0.2)T 3.875Free-fall F5, a periodic three-body orbitFree-fall F5 (1, 0.412, 0.267)T 2.761Free-fall F5, a periodic three-body orbitFree-fall F5 (1, 0.8, 0.4)T 2.405Free-fall F5, a periodic three-body orbitFree-fall F5 (1, 0.8, 0.6)T 2.501Free-fall F5, a periodic three-body orbitFree-fall F5 (0.393, 0.288, 0.662)T 6.244Free-fall F5, a periodic three-body orbitFree-fall F5 (1, 0.8, 0.8)T 3.657Free-fall F5, a periodic three-body orbitFree-fall F5 (0.6, 0.8, 1)T 3.281Free-fall F5, a periodic three-body orbitFree-fall F5T 4.965Free-fall F6, a periodic three-body orbitFree-fall F6 (1, 0.1, 0.01)T 4.237Free-fall F6, a periodic three-body orbitFree-fall F6 (1, 0.8, 0.2)T 2.946Free-fall F6, a periodic three-body orbitFree-fall F6 (1, 0.412, 0.267)T 2.703Free-fall F6, a periodic three-body orbitFree-fall F6 (1, 0.8, 0.4)T 3.755Free-fall F6, a periodic three-body orbitFree-fall F6 (1, 0.8, 0.6)T 2.608Free-fall F6, a periodic three-body orbitFree-fall F6 (0.393, 0.288, 0.662)T 5.093Free-fall F6, a periodic three-body orbitFree-fall F6 (1, 0.8, 0.8)T 5.507Free-fall F6, a periodic three-body orbitFree-fall F6 (0.6, 0.8, 1)T 1.962Free-fall F6, a periodic three-body orbitFree-fall F6T 4.867Free-fall F7, a periodic three-body orbitFree-fall F7 (1, 0.1, 0.01)T 4.750Free-fall F7, a periodic three-body orbitFree-fall F7 (1, 0.8, 0.2)T 3.229Free-fall F7, a periodic three-body orbitFree-fall F7 (1, 0.412, 0.267)T 3.794Free-fall F7, a periodic three-body orbitFree-fall F7 (1, 0.8, 0.4)T 3.345Free-fall F7, a periodic three-body orbitFree-fall F7 (1, 0.8, 0.6)T 2.561Free-fall F7, a periodic three-body orbitFree-fall F7 (0.393, 0.288, 0.662)T 4.627Free-fall F7, a periodic three-body orbitFree-fall F7 (1, 0.8, 0.8)T 3.969Free-fall F7, a periodic three-body orbitFree-fall F7 (0.6, 0.8, 1)T 1.943Free-fall F7, a periodic three-body orbitFree-fall F7T 5.446Free-fall F8, a periodic three-body orbitFree-fall F8 (1, 0.1, 0.01)T 4.272Free-fall F8, a periodic three-body orbitFree-fall F8 (1, 0.8, 0.2)T 3.334Free-fall F8, a periodic three-body orbitFree-fall F8 (1, 0.412, 0.267)T 2.656Free-fall F8, a periodic three-body orbitFree-fall F8 (1, 0.8, 0.4)T 2.949Free-fall F8, a periodic three-body orbitFree-fall F8 (1, 0.8, 0.6)T 4.796Free-fall F8, a periodic three-body orbitFree-fall F8 (0.393, 0.288, 0.662)T 5.542Free-fall F8, a periodic three-body orbitFree-fall F8 (1, 0.8, 0.8)T 4.139Free-fall F8, a periodic three-body orbitFree-fall F8 (0.6, 0.8, 1)T 2.121Free-fall F8, a periodic three-body orbitFree-fall F8T 5.118Free-fall F9, a periodic three-body orbitFree-fall F9 (1, 0.1, 0.01)T 4.116Free-fall F9, a periodic three-body orbitFree-fall F9 (1, 0.8, 0.2)T 4.541Free-fall F9, a periodic three-body orbitFree-fall F9 (1, 0.412, 0.267)T 2.781Free-fall F9, a periodic three-body orbitFree-fall F9 (1, 0.8, 0.4)T 3.761Free-fall F9, a periodic three-body orbitFree-fall F9 (1, 0.8, 0.6)T 2.563Free-fall F9, a periodic three-body orbitFree-fall F9 (0.393, 0.288, 0.662)T 6.508Free-fall F9, a periodic three-body orbitFree-fall F9 (1, 0.8, 0.8)T 4.427Free-fall F9, a periodic three-body orbitFree-fall F9 (0.6, 0.8, 1)T 2.628Free-fall F9, a periodic three-body orbitFree-fall F9T 5.200Free-fall F10, a periodic three-body orbitFree-fall F10 (1, 0.1, 0.01)T 4.276Free-fall F10, a periodic three-body orbitFree-fall F10 (1, 0.8, 0.2)T 3.515Free-fall F10, a periodic three-body orbitFree-fall F10 (1, 0.412, 0.267)T 2.590Free-fall F10, a periodic three-body orbitFree-fall F10 (1, 0.8, 0.4)T 3.343Free-fall F10, a periodic three-body orbitFree-fall F10 (1, 0.8, 0.6)T 3.142Free-fall F10, a periodic three-body orbitFree-fall F10 (0.393, 0.288, 0.662)T 5.020Free-fall F10, a periodic three-body orbitFree-fall F10 (1, 0.8, 0.8)T 4.920Free-fall F10, a periodic three-body orbitFree-fall F10 (0.6, 0.8, 1)T 3.679Free-fall F10, a periodic three-body orbitFree-fall F10T 4.891Free-fall F11, a periodic three-body orbitFree-fall F11 (1, 0.1, 0.01)T 8.190Free-fall F11, a periodic three-body orbitFree-fall F11 (1, 0.8, 0.2)T 3.669Free-fall F11, a periodic three-body orbitFree-fall F11 (1, 0.412, 0.267)T 4.123Free-fall F11, a periodic three-body orbitFree-fall F11 (1, 0.8, 0.4)T 2.839Free-fall F11, a periodic three-body orbitFree-fall F11 (1, 0.8, 0.6)T 2.943Free-fall F11, a periodic three-body orbitFree-fall F11 (0.393, 0.288, 0.662)T 6.059Free-fall F11, a periodic three-body orbitFree-fall F11 (1, 0.8, 0.8)T 4.614Free-fall F11, a periodic three-body orbitFree-fall F11 (0.6, 0.8, 1)T 2.318Free-fall F11, a periodic three-body orbitFree-fall F11T 4.275Free-fall F12, a periodic three-body orbitFree-fall F12 (1, 0.1, 0.01)T 4.068Free-fall F12, a periodic three-body orbitFree-fall F12 (1, 0.8, 0.2)T 2.765Free-fall F12, a periodic three-body orbitFree-fall F12 (1, 0.412, 0.267)T 7.158Free-fall F12, a periodic three-body orbitFree-fall F12 (1, 0.8, 0.4)T 3.414Free-fall F12, a periodic three-body orbitFree-fall F12 (1, 0.8, 0.6)T 3.675Free-fall F12, a periodic three-body orbitFree-fall F12 (0.393, 0.288, 0.662)T 6.513Free-fall F12, a periodic three-body orbitFree-fall F12 (1, 0.8, 0.8)T 5.585Free-fall F12, a periodic three-body orbitFree-fall F12 (0.6, 0.8, 1)T 2.903Free-fall F12, a periodic three-body orbitFree-fall F12T 4.276Free-fall F13, a periodic three-body orbitFree-fall F13 (1, 0.1, 0.01)T 4.302Free-fall F13, a periodic three-body orbitFree-fall F13 (1, 0.8, 0.2)T 3.018Free-fall F13, a periodic three-body orbitFree-fall F13 (1, 0.412, 0.267)T 2.527Free-fall F13, a periodic three-body orbitFree-fall F13 (1, 0.8, 0.4)T 4.914Free-fall F13, a periodic three-body orbitFree-fall F13 (1, 0.8, 0.6)T 2.418Free-fall F13, a periodic three-body orbitFree-fall F13 (0.393, 0.288, 0.662)T 5.363Free-fall F13, a periodic three-body orbitFree-fall F13 (1, 0.8, 0.8)T 5.713Free-fall F13, a periodic three-body orbitFree-fall F13 (0.6, 0.8, 1)T 1.951Free-fall F14, a periodic three-body orbitFree-fall F14 (1, 0.1, 0.01)T 4.181Free-fall F14, a periodic three-body orbitFree-fall F14 (1, 0.8, 0.2)T 4.684Free-fall F14, a periodic three-body orbitFree-fall F14 (1, 0.412, 0.267)T 5.917Free-fall F14, a periodic three-body orbitFree-fall F14 (1, 0.8, 0.4)T 4.219Free-fall F14, a periodic three-body orbitFree-fall F14 (1, 0.8, 0.6)T 2.071Free-fall F14, a periodic three-body orbitFree-fall F14 (0.393, 0.288, 0.662)T 5.513Free-fall F14, a periodic three-body orbitFree-fall F14 (1, 0.8, 0.8)T 8.160Free-fall F14, a periodic three-body orbitFree-fall F14 (0.6, 0.8, 1)T 2.134Free-fall F14, a periodic three-body orbitFree-fall F14T 7.648Free-fall F15, a periodic three-body orbitFree-fall F15 (1, 0.1, 0.01)T 11.83Free-fall F15, a periodic three-body orbitFree-fall F15 (1, 0.8, 0.2)T 4.857Free-fall F15, a periodic three-body orbitFree-fall F15 (1, 0.412, 0.267)T 9.308Free-fall F15, a periodic three-body orbitFree-fall F15 (1, 0.8, 0.4)T 2.636Free-fall F15, a periodic three-body orbitFree-fall F15 (1, 0.8, 0.6)T 2.789Free-fall F15, a periodic three-body orbitFree-fall F15 (0.393, 0.288, 0.662)T 7.166Free-fall F15, a periodic three-body orbitFree-fall F15 (1, 0.8, 0.8)T 3.211Free-fall F15, a periodic three-body orbitFree-fall F15 (0.6, 0.8, 1)T 2.527Free-fall F15, a periodic three-body orbitFree-fall F15T 6.404Free-fall F16, a periodic three-body orbitFree-fall F16 (1, 0.1, 0.01)T 4.132Free-fall F16, a periodic three-body orbitFree-fall F16 (1, 0.8, 0.2)T 3.034Free-fall F16, a periodic three-body orbitFree-fall F16 (1, 0.8, 0.4)T 2.655Free-fall F16, a periodic three-body orbitFree-fall F16 (0.393, 0.288, 0.662)T 6.652Free-fall F16, a periodic three-body orbitFree-fall F16 (1, 0.8, 0.8)T 4.257Free-fall F16, a periodic three-body orbitFree-fall F16 (0.6, 0.8, 1)T 5.822Free-fall F16, a periodic three-body orbitFree-fall F16T 6.539Free-fall F17, a periodic three-body orbitFree-fall F17 (1, 0.1, 0.01)T 4.351Free-fall F17, a periodic three-body orbitFree-fall F17 (1, 0.8, 0.2)T 2.621Free-fall F17, a periodic three-body orbitFree-fall F17 (1, 0.8, 0.4)T 2.927Free-fall F17, a periodic three-body orbitFree-fall F17 (1, 0.8, 0.6)T 4.173Free-fall F17, a periodic three-body orbitFree-fall F17 (0.393, 0.288, 0.662)T 6.508Free-fall F17, a periodic three-body orbitFree-fall F17 (1, 0.8, 0.8)T 5.133Free-fall F17, a periodic three-body orbitFree-fall F17 (0.6, 0.8, 1)T 2.303Free-fall F17, a periodic three-body orbitFree-fall F17T 8.107Free-fall F18, a periodic three-body orbitFree-fall F18 (1, 0.1, 0.01)T 4.236Free-fall F18, a periodic three-body orbitFree-fall F18 (1, 0.8, 0.2)T 5.066Free-fall F18, a periodic three-body orbitFree-fall F18 (1, 0.8, 0.4)T 2.396Free-fall F18, a periodic three-body orbitFree-fall F18 (1, 0.8, 0.6)T 6.729Free-fall F18, a periodic three-body orbitFree-fall F18 (0.393, 0.288, 0.662)T 11.60Free-fall F18, a periodic three-body orbitFree-fall F18 (1, 0.8, 0.8)T 3.578Free-fall F18, a periodic three-body orbitFree-fall F18 (0.6, 0.8, 1)T 6.297Free-fall F18, a periodic three-body orbitFree-fall F18T 5.395Free-fall F19, a periodic three-body orbitFree-fall F19 (1, 0.1, 0.01)T 4.268Free-fall F19, a periodic three-body orbitFree-fall F19 (1, 0.8, 0.2)T 5.683Free-fall F19, a periodic three-body orbitFree-fall F19 (1, 0.8, 0.4)T 3.701Free-fall F19, a periodic three-body orbitFree-fall F19 (1, 0.8, 0.6)T 2.618Free-fall F19, a periodic three-body orbitFree-fall F19 (0.393, 0.288, 0.662)T 16.13Free-fall F19, a periodic three-body orbitFree-fall F19 (1, 0.8, 0.8)T 5.940Free-fall F19, a periodic three-body orbitFree-fall F19 (0.6, 0.8, 1)T 4.455Free-fall F19, a periodic three-body orbitFree-fall F19T 8.101Free-fall F20, a periodic three-body orbitFree-fall F20 (1, 0.1, 0.01)T 4.363Free-fall F20, a periodic three-body orbitFree-fall F20 (1, 0.8, 0.2)T 2.792Free-fall F20, a periodic three-body orbitFree-fall F20 (1, 0.8, 0.4)T 2.579Free-fall F20, a periodic three-body orbitFree-fall F20 (1, 0.8, 0.6)T 1.995Free-fall F20, a periodic three-body orbitFree-fall F20 (1, 0.8, 0.8)T 8.557Free-fall F20, a periodic three-body orbitFree-fall F20 (0.6, 0.8, 1)T 5.903Free-fall F20, a periodic three-body orbitFree-fall F20T 8.822Free-fall F21, a periodic three-body orbitFree-fall F21 (1, 0.1, 0.01)T 8.505Free-fall F21, a periodic three-body orbitFree-fall F21 (1, 0.8, 0.2)T 5.622Free-fall F21, a periodic three-body orbitFree-fall F21 (1, 0.8, 0.4)T 3.829Free-fall F21, a periodic three-body orbitFree-fall F21 (1, 0.8, 0.6)T 3.522Free-fall F21, a periodic three-body orbitFree-fall F21 (1, 0.8, 0.8)T 5.179Free-fall F21, a periodic three-body orbitFree-fall F21 (0.6, 0.8, 1)T 6.119Free-fall F21, a periodic three-body orbitFree-fall F21T 5.423Free-fall F22, a periodic three-body orbitFree-fall F22 (1, 0.1, 0.01)T 8.460Free-fall F22, a periodic three-body orbitFree-fall F22 (1, 0.8, 0.2)T 3.857Free-fall F22, a periodic three-body orbitFree-fall F22 (1, 0.8, 0.4)T 4.109Free-fall F22, a periodic three-body orbitFree-fall F22 (1, 0.8, 0.6)T 3.864Free-fall F22, a periodic three-body orbitFree-fall F22 (1, 0.8, 0.8)T 7.538Free-fall F22, a periodic three-body orbitFree-fall F22 (0.6, 0.8, 1)T 5.375Free-fall F22, a periodic three-body orbitFree-fall F22T 5.447Free-fall F23, a periodic three-body orbitFree-fall F23 (1, 0.1, 0.01)T 4.092Free-fall F23, a periodic three-body orbitFree-fall F23 (1, 0.8, 0.2)T 2.851Free-fall F23, a periodic three-body orbitFree-fall F23 (1, 0.8, 0.4)T 3.020Free-fall F23, a periodic three-body orbitFree-fall F23 (1, 0.8, 0.6)T 4.654Free-fall F23, a periodic three-body orbitFree-fall F23 (1, 0.8, 0.8)T 7.759Free-fall F23, a periodic three-body orbitFree-fall F23 (0.6, 0.8, 1)T 6.017Free-fall F23, a periodic three-body orbitFree-fall F23T 8.497Free-fall F24, a periodic three-body orbitFree-fall F24 (1, 0.1, 0.01)T 4.185Free-fall F24, a periodic three-body orbitFree-fall F24 (1, 0.8, 0.2)T 3.103Free-fall F24, a periodic three-body orbitFree-fall F24 (1, 0.8, 0.4)T 4.660Free-fall F24, a periodic three-body orbitFree-fall F24 (1, 0.8, 0.6)T 3.656Free-fall F24, a periodic three-body orbitFree-fall F24 (1, 0.8, 0.8)T 7.500Free-fall F24, a periodic three-body orbitFree-fall F24 (0.6, 0.8, 1)T 5.798Free-fall F25, a periodic three-body orbitFree-fall F25 (1, 0.1, 0.01)T 4.284Free-fall F25, a periodic three-body orbitFree-fall F25 (1, 0.8, 0.2)T 3.492Free-fall F25, a periodic three-body orbitFree-fall F25 (1, 0.8, 0.4)T 2.509Free-fall F25, a periodic three-body orbitFree-fall F25 (1, 0.8, 0.6)T 4.607Free-fall F25, a periodic three-body orbitFree-fall F25 (1, 0.8, 0.8)T 9.299Free-fall F25, a periodic three-body orbitFree-fall F25 (0.6, 0.8, 1)T 6.458Free-fall F25, a periodic three-body orbitFree-fall F25T 5.781Free-fall F26, a periodic three-body orbitFree-fall F26 (1, 0.1, 0.01)T 4.393Free-fall F26, a periodic three-body orbitFree-fall F26 (1, 0.8, 0.2)T 4.110Free-fall F26, a periodic three-body orbitFree-fall F26 (1, 0.8, 0.4)T 4.044Free-fall F26, a periodic three-body orbitFree-fall F26 (1, 0.8, 0.6)T 2.862Free-fall F26, a periodic three-body orbitFree-fall F26 (1, 0.8, 0.8)T 18.85Free-fall F26, a periodic three-body orbitFree-fall F26 (0.6, 0.8, 1)T 5.931Free-fall F26, a periodic three-body orbitFree-fall F26T 10.02Free-fall F27, a periodic three-body orbitFree-fall F27 (1, 0.1, 0.01)T 7.865Free-fall F27, a periodic three-body orbitFree-fall F27 (1, 0.8, 0.2)T 3.151Free-fall F27, a periodic three-body orbitFree-fall F27 (1, 0.8, 0.4)T 5.317Free-fall F27, a periodic three-body orbitFree-fall F27 (1, 0.8, 0.6)T 3.374Free-fall F27, a periodic three-body orbitFree-fall F27 (1, 0.8, 0.8)T 11.07Free-fall F27, a periodic three-body orbitFree-fall F27 (0.6, 0.8, 1)T 9.443Free-fall F27, a periodic three-body orbitFree-fall F27T 10.33Free-fall F28, a periodic three-body orbitFree-fall F28 (1, 0.1, 0.01)T 12.51Free-fall F28, a periodic three-body orbitFree-fall F28 (1, 0.8, 0.2)T 9.756Free-fall F28, a periodic three-body orbitFree-fall F28 (1, 0.8, 0.4)T 5.311Free-fall F28, a periodic three-body orbitFree-fall F28 (1, 0.8, 0.6)T 4.463Free-fall F28, a periodic three-body orbitFree-fall F28 (1, 0.8, 0.8)T 13.31Free-fall F28, a periodic three-body orbitFree-fall F28 (0.6, 0.8, 1)T 4.132Free-fall F28, a periodic three-body orbitFree-fall F28T 11.84Free-fall F29, a periodic three-body orbitFree-fall F29 (1, 0.1, 0.01)T 14.90Free-fall F29, a periodic three-body orbitFree-fall F29 (1, 0.8, 0.2)T 2.975Free-fall F29, a periodic three-body orbitFree-fall F29 (1, 0.8, 0.4)T 4.462Free-fall F29, a periodic three-body orbitFree-fall F29 (1, 0.8, 0.6)T 4.365Free-fall F29, a periodic three-body orbitFree-fall F29 (1, 0.8, 0.8)T 17.55Free-fall F29, a periodic three-body orbitFree-fall F29 (0.6, 0.8, 1)T 8.133Free-fall F29, a periodic three-body orbitFree-fall F29T 7.294Free-fall F30, a periodic three-body orbitFree-fall F30 (1, 0.1, 0.01)T 11.95Free-fall F30, a periodic three-body orbitFree-fall F30 (1, 0.8, 0.2)T 10.93Free-fall F30, a periodic three-body orbitFree-fall F30 (1, 0.8, 0.4)T 3.361Free-fall F30, a periodic three-body orbitFree-fall F30 (1, 0.8, 0.6)T 4.305Free-fall F30, a periodic three-body orbitFree-fall F30 (0.6, 0.8, 1)T 12.58Free-fall F30, a periodic three-body orbitFree-fall F30T 6.184Free-fall F31, a periodic three-body orbitFree-fall F31 (1, 0.1, 0.01)T 8.490Free-fall F31, a periodic three-body orbitFree-fall F31 (1, 0.8, 0.2)T 9.543Free-fall F31, a periodic three-body orbitFree-fall F31 (1, 0.8, 0.4)T 4.215Free-fall F31, a periodic three-body orbitFree-fall F31 (1, 0.8, 0.6)T 4.168Free-fall F32, a periodic three-body orbitFree-fall F32 (1, 0.1, 0.01)T 8.248Free-fall F32, a periodic three-body orbitFree-fall F32 (1, 0.8, 0.2)T 3.185Free-fall F32, a periodic three-body orbitFree-fall F32 (1, 0.8, 0.4)T 3.100Free-fall F32, a periodic three-body orbitFree-fall F32 (1, 0.8, 0.6)T 5.668Free-fall F33, a periodic three-body orbitFree-fall F33 (1, 0.1, 0.01)T 8.330Free-fall F33, a periodic three-body orbitFree-fall F33 (1, 0.8, 0.4)T 2.778Free-fall F33, a periodic three-body orbitFree-fall F33 (1, 0.8, 0.6)T 4.342Free-fall F34, a periodic three-body orbitFree-fall F34 (1, 0.1, 0.01)T 8.798Free-fall F34, a periodic three-body orbitFree-fall F34 (1, 0.8, 0.4)T 5.090Free-fall F34, a periodic three-body orbitFree-fall F34 (1, 0.8, 0.6)T 3.843Free-fall F35, a periodic three-body orbitFree-fall F35 (1, 0.1, 0.01)T 4.105Free-fall F35, a periodic three-body orbitFree-fall F35 (1, 0.8, 0.4)T 3.085Free-fall F35, a periodic three-body orbitFree-fall F35 (1, 0.8, 0.6)T 5.479Free-fall F36, a periodic three-body orbitFree-fall F36 (1, 0.1, 0.01)T 4.188Free-fall F36, a periodic three-body orbitFree-fall F36 (1, 0.8, 0.4)T 5.952Free-fall F36, a periodic three-body orbitFree-fall F36 (1, 0.8, 0.6)T 6.398Free-fall F37, a periodic three-body orbitFree-fall F37 (1, 0.1, 0.01)T 4.274Free-fall F37, a periodic three-body orbitFree-fall F37 (1, 0.8, 0.4)T 6.447Free-fall F37, a periodic three-body orbitFree-fall F37 (1, 0.8, 0.6)T 5.022Free-fall F38, a periodic three-body orbitFree-fall F38 (1, 0.1, 0.01)T 18.32Free-fall F38, a periodic three-body orbitFree-fall F38 (1, 0.8, 0.4)T 3.688Free-fall F38, a periodic three-body orbitFree-fall F38 (1, 0.8, 0.6)T 6.133Free-fall F39, a periodic three-body orbitFree-fall F39 (1, 0.1, 0.01)T 19.47Free-fall F39, a periodic three-body orbitFree-fall F39 (1, 0.8, 0.4)T 4.583Free-fall F39, a periodic three-body orbitFree-fall F39 (1, 0.8, 0.6)T 4.062Free-fall F40, a periodic three-body orbitFree-fall F40 (1, 0.1, 0.01)T 16.46Free-fall F40, a periodic three-body orbitFree-fall F40 (1, 0.8, 0.4)T 3.335Free-fall F40, a periodic three-body orbitFree-fall F40 (1, 0.8, 0.6)T 3.197Free-fall F41, a periodic three-body orbitFree-fall F41 (1, 0.1, 0.01)T 13.67Free-fall F41, a periodic three-body orbitFree-fall F41 (1, 0.8, 0.4)T 6.946Free-fall F41, a periodic three-body orbitFree-fall F41 (1, 0.8, 0.6)T 3.686Free-fall F42, a periodic three-body orbitFree-fall F42 (1, 0.1, 0.01)T 16.04Free-fall F42, a periodic three-body orbitFree-fall F42 (1, 0.8, 0.4)T 3.601Free-fall F42, a periodic three-body orbitFree-fall F42 (1, 0.8, 0.6)T 5.751Free-fall F43, a periodic three-body orbitFree-fall F43 (1, 0.1, 0.01)T 23.00Free-fall F43, a periodic three-body orbitFree-fall F43 (1, 0.8, 0.4)T 5.911Free-fall F43, a periodic three-body orbitFree-fall F43 (1, 0.8, 0.6)T 4.865Free-fall F44, a periodic three-body orbitFree-fall F44 (1, 0.1, 0.01)T 23.19Free-fall F44, a periodic three-body orbitFree-fall F44 (1, 0.8, 0.4)T 7.020Free-fall F44, a periodic three-body orbitFree-fall F44 (1, 0.8, 0.6)T 4.074Free-fall F45, a periodic three-body orbitFree-fall F45 (1, 0.1, 0.01)T 24.41Free-fall F45, a periodic three-body orbitFree-fall F45 (1, 0.8, 0.6)T 5.746Free-fall F46, a periodic three-body orbitFree-fall F46 (1, 0.1, 0.01)T 23.02Free-fall F46, a periodic three-body orbitFree-fall F46 (1, 0.8, 0.6)T 3.929Free-fall F47, a periodic three-body orbitFree-fall F47 (1, 0.8, 0.6)T 3.867Free-fall F48, a periodic three-body orbitFree-fall F48 (1, 0.1, 0.01)T 31.03Free-fall F48, a periodic three-body orbitFree-fall F48 (1, 0.8, 0.6)T 6.442Free-fall F49, a periodic three-body orbitFree-fall F49 (1, 0.8, 0.6)T 7.211Free-fall F50, a periodic three-body orbitFree-fall F50 (1, 0.8, 0.6)T 5.083Free-fall F51, a periodic three-body orbitFree-fall F51 (1, 0.8, 0.6)T 6.279Free-fall F52, a periodic three-body orbitFree-fall F52 (1, 0.8, 0.6)T 3.521Free-fall F53, a periodic three-body orbitFree-fall F53 (1, 0.8, 0.6)T 5.259Free-fall F54, a periodic three-body orbitFree-fall F54 (1, 0.8, 0.6)T 6.353Free-fall F55, a periodic three-body orbitFree-fall F55 (1, 0.8, 0.6)T 7.835Free-fall F56, a periodic three-body orbitFree-fall F56 (1, 0.8, 0.6)T 4.683Free-fall F57, a periodic three-body orbitFree-fall F57 (1, 0.8, 0.6)T 8.483Free-fall F58, a periodic three-body orbitFree-fall F58 (1, 0.8, 0.6)T 3.580Free-fall F59, a periodic three-body orbitFree-fall F59 (1, 0.8, 0.6)T 6.993Free-fall F60, a periodic three-body orbitFree-fall F60 (1, 0.8, 0.6)T 8.649Free-fall F61, a periodic three-body orbitFree-fall F61 (1, 0.8, 0.6)T 8.882Free-fall F62, a periodic three-body orbitFree-fall F62 (1, 0.8, 0.6)T 6.207Free-fall F63, a periodic three-body orbitFree-fall F63 (1, 0.8, 0.6)T 9.306Free-fall F64, a periodic three-body orbitFree-fall F64 (1, 0.8, 0.6)T 9.749Free-fall F65, a periodic three-body orbitFree-fall F65 (1, 0.8, 0.6)T 7.102Free-fall F66, a periodic three-body orbitFree-fall F66 (1, 0.8, 0.6)T 10.20Free-fall F67, a periodic three-body orbitFree-fall F67 (1, 0.8, 0.6)T 6.278Free-fall F68, a periodic three-body orbitFree-fall F68 (1, 0.8, 0.6)T 6.989Free-fall F69, a periodic three-body orbitFree-fall F69 (1, 0.8, 0.6)T 10.36