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Families / Li–Liao classes

I.B orbits

Class I.B orbits, for equal and unequal masses.

I.B orbits are periodic solutions of the planar three-body problem. The atlas holds 540 of them, with periods from 8.558 to 199.7, for several mass ratios; 314 of them are linearly stable. They come from Li & Liao (2017), More than six hundred new families of Newtonian periodic planar collisionless three-body orbits. 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 (2017). More than six hundred new families of Newtonian periodic planar collisionless three-body orbits. Science China Physics, Mechanics & Astronomy 60, 129511 (doi)

See them on the map Open I.B.1

All 540 orbits

I.B.1, a periodic three-body orbit

I.B.1 m₃ = 0.5T 8.558

I.B.1, a periodic three-body orbit

I.B.1 m₃ = 0.75T 12.22

I.B.1, a periodic three-body orbit

I.B.1 m₃ = 2T 12.54

I.B.1, a periodic three-body orbit

I.B.1 m₃ = 4T 36.66 stable

I.B.1, a periodic three-body orbit

I.B.1 m₃ = 5T 35.49 stable

I.B.1, a periodic three-body orbit

I.B.1 m₃ = 8T 44.22

I.B.1, a periodic three-body orbit

I.B.1 m₃ = 10T 47.70 stable

I.B.2, a periodic three-body orbit

I.B.2 m₃ = 0.5T 19.99

I.B.2, a periodic three-body orbit

I.B.2 m₃ = 0.75T 19.72

I.B.2, a periodic three-body orbit

I.B.2 m₃ = 2T 12.27

I.B.2, a periodic three-body orbit

I.B.2 m₃ = 4T 35.81 stable

I.B.2, a periodic three-body orbit

I.B.2 m₃ = 5T 72.77 stable

I.B.2, a periodic three-body orbit

I.B.2 m₃ = 8T 87.40 stable

I.B.3, a periodic three-body orbit

I.B.3 m₃ = 0.5T 10.58 stable

I.B.3, a periodic three-body orbit

I.B.3 m₃ = 0.75T 13.75

I.B.3, a periodic three-body orbit

I.B.3, a periodic three-body orbit

I.B.3 m₃ = 2T 15.58

I.B.3, a periodic three-body orbit

I.B.3 m₃ = 4T 34.81 stable

I.B.3, a periodic three-body orbit

I.B.3 m₃ = 5T 71.26

I.B.3, a periodic three-body orbit

I.B.3 m₃ = 8T 86.70

I.B.4, a periodic three-body orbit

I.B.4 m₃ = 0.5T 20.99

I.B.4, a periodic three-body orbit

I.B.4 m₃ = 0.75T 16.64 stable

I.B.4, a periodic three-body orbit

I.B.4 m₃ = 2T 27.30

I.B.4, a periodic three-body orbit

I.B.4 m₃ = 4T 72.22 stable

I.B.4, a periodic three-body orbit

I.B.4 m₃ = 5T 107.2 stable

I.B.5, a periodic three-body orbit

I.B.5 m₃ = 0.5T 31.13

I.B.5, a periodic three-body orbit

I.B.5 m₃ = 0.75T 31.04

I.B.5, a periodic three-body orbit

I.B.5 m₃ = 2T 24.26 stable

I.B.5, a periodic three-body orbit

I.B.5 m₃ = 4T 71.10 stable

I.B.5, a periodic three-body orbit

I.B.5 m₃ = 5T 105.3 stable

I.B.6, a periodic three-body orbit

I.B.6 m₃ = 0.5T 16.85 stable

I.B.6, a periodic three-body orbit

I.B.6 m₃ = 0.75T 17.94

I.B.6, a periodic three-body orbit

I.B.6 m₃ = 2T 22.63 stable

I.B.6, a periodic three-body orbit

I.B.6 m₃ = 4T 70.11 stable

I.B.6, a periodic three-body orbit

I.B.6 m₃ = 5T 144.4

I.B.7, a periodic three-body orbit

I.B.7 m₃ = 0.5T 23.94

I.B.7, a periodic three-body orbit

I.B.7 m₃ = 0.75T 35.65

I.B.7, a periodic three-body orbit

I.B.7 m₃ = 2T 48.54 stable

I.B.7, a periodic three-body orbit

I.B.7 m₃ = 4T 69.14 stable

I.B.7, a periodic three-body orbit

I.B.7 m₃ = 5T 145.3 stable

I.B.8, a periodic three-body orbit

I.B.8 m₃ = 0.5T 42.28

I.B.8, a periodic three-body orbit

I.B.8 m₃ = 0.75T 23.25 stable

I.B.8, a periodic three-body orbit

I.B.8 m₃ = 2T 49.17

I.B.8, a periodic three-body orbit

I.B.8 m₃ = 4T 68.19 stable

I.B.8, a periodic three-body orbit

I.B.8 m₃ = 5T 142.8 stable

I.B.9, a periodic three-body orbit

I.B.9 m₃ = 0.5T 25.10

I.B.9, a periodic three-body orbit

I.B.9 m₃ = 0.75T 28.83

I.B.9, a periodic three-body orbit

I.B.9 m₃ = 2T 49.15

I.B.9, a periodic three-body orbit

I.B.9 m₃ = 4T 109.0 stable

I.B.9, a periodic three-body orbit

I.B.9 m₃ = 5T 182.0

I.B.10, a periodic three-body orbit

I.B.10 m₃ = 0.5T 14.52

I.B.10, a periodic three-body orbit

I.B.10 m₃ = 0.75T 49.44 stable

I.B.10, a periodic three-body orbit

I.B.10 m₃ = 2T 46.54 stable

I.B.10, a periodic three-body orbit

I.B.10 m₃ = 4T 97.30 stable

I.B.10, a periodic three-body orbit

I.B.10 m₃ = 5T 181.5

I.B.11, a periodic three-body orbit

I.B.11 m₃ = 0.5T 24.74

I.B.11, a periodic three-body orbit

I.B.11 m₃ = 0.75T 49.36

I.B.11, a periodic three-body orbit

I.B.11T 46.07 stable

I.B.11, a periodic three-body orbit

I.B.11 m₃ = 2T 47.18 stable

I.B.11, a periodic three-body orbit

I.B.11 m₃ = 4T 96.56 stable

I.B.11, a periodic three-body orbit

I.B.11 m₃ = 5T 179.1 stable

I.B.12, a periodic three-body orbit

I.B.12 m₃ = 0.5T 34.28

I.B.12, a periodic three-body orbit

I.B.12 m₃ = 0.75T 66.86

I.B.12, a periodic three-body orbit

I.B.12, a periodic three-body orbit

I.B.12 m₃ = 2T 38.78

I.B.12, a periodic three-body orbit

I.B.12 m₃ = 4T 105.4 stable

I.B.13, a periodic three-body orbit

I.B.13 m₃ = 0.5T 25.20 stable

I.B.13, a periodic three-body orbit

I.B.13 m₃ = 0.75T 34.96 stable

I.B.13, a periodic three-body orbit

I.B.13, a periodic three-body orbit

I.B.13 m₃ = 2T 75.46 stable

I.B.13, a periodic three-body orbit

I.B.13 m₃ = 4T 103.5 stable

I.B.14, a periodic three-body orbit

I.B.14 m₃ = 0.5T 33.42 stable

I.B.14, a periodic three-body orbit

I.B.14 m₃ = 0.75T 48.56

I.B.14, a periodic three-body orbit

I.B.14 m₃ = 2T 74.16

I.B.14, a periodic three-body orbit

I.B.14 m₃ = 4T 102.5 stable

I.B.15, a periodic three-body orbit

I.B.15 m₃ = 0.5T 33.79

I.B.15, a periodic three-body orbit

I.B.15 m₃ = 0.75T 35.29 stable

I.B.15, a periodic three-body orbit

I.B.15 m₃ = 2T 82.44

I.B.15, a periodic three-body orbit

I.B.15 m₃ = 4T 130.7 stable

I.B.16, a periodic three-body orbit

I.B.16 m₃ = 0.5T 50.62

I.B.16, a periodic three-body orbit

I.B.16 m₃ = 0.75T 76.89

I.B.16, a periodic three-body orbit

I.B.16, a periodic three-body orbit

I.B.16 m₃ = 2T 70.12 stable

I.B.16, a periodic three-body orbit

I.B.16 m₃ = 4T 145.1 stable

I.B.17, a periodic three-body orbit

I.B.17 m₃ = 0.5T 27.46 stable

I.B.17, a periodic three-body orbit

I.B.17 m₃ = 0.75T 46.04 stable

I.B.17, a periodic three-body orbit

I.B.17 m₃ = 2T 100.2 stable

I.B.17, a periodic three-body orbit

I.B.17 m₃ = 4T 143.8 stable

I.B.18, a periodic three-body orbit

I.B.18 m₃ = 0.5T 36.97

I.B.18, a periodic three-body orbit

I.B.18 m₃ = 0.75T 33.34 stable

I.B.18, a periodic three-body orbit

I.B.18, a periodic three-body orbit

I.B.18 m₃ = 2T 69.96 stable

I.B.18, a periodic three-body orbit

I.B.18 m₃ = 4T 142.7 stable

I.B.19, a periodic three-body orbit

I.B.19 m₃ = 0.5T 29.52 stable

I.B.19, a periodic three-body orbit

I.B.19 m₃ = 0.75T 46.67 stable

I.B.19, a periodic three-body orbit

I.B.19, a periodic three-body orbit

I.B.19 m₃ = 2T 64.03 stable

I.B.19, a periodic three-body orbit

I.B.19 m₃ = 4T 141.7 stable

I.B.20, a periodic three-body orbit

I.B.20 m₃ = 0.5T 41.95 stable

I.B.20, a periodic three-body orbit

I.B.20 m₃ = 0.75T 61.02

I.B.20, a periodic three-body orbit

I.B.20T 54.86 stable

I.B.20, a periodic three-body orbit

I.B.20 m₃ = 2T 106.8

I.B.20, a periodic three-body orbit

I.B.20 m₃ = 4T 128.7

I.B.21, a periodic three-body orbit

I.B.21 m₃ = 0.5T 27.89

I.B.21, a periodic three-body orbit

I.B.21 m₃ = 0.75T 46.99 stable

I.B.21, a periodic three-body orbit

I.B.21, a periodic three-body orbit

I.B.21 m₃ = 2T 85.37

I.B.21, a periodic three-body orbit

I.B.21 m₃ = 4T 128.6 stable

I.B.22, a periodic three-body orbit

I.B.22 m₃ = 0.5T 49.98 stable

I.B.22, a periodic three-body orbit

I.B.22 m₃ = 0.75T 58.00 stable

I.B.22, a periodic three-body orbit

I.B.22T 55.37 stable

I.B.22, a periodic three-body orbit

I.B.22 m₃ = 2T 84.83

I.B.22, a periodic three-body orbit

I.B.22 m₃ = 4T 137.8 stable

I.B.23, a periodic three-body orbit

I.B.23 m₃ = 0.5T 32.21

I.B.23, a periodic three-body orbit

I.B.23 m₃ = 0.75T 58.37 stable

I.B.23, a periodic three-body orbit

I.B.23T 75.57 stable

I.B.23, a periodic three-body orbit

I.B.23 m₃ = 2T 124.9 stable

I.B.23, a periodic three-body orbit

I.B.23 m₃ = 4T 132.1 stable

I.B.24, a periodic three-body orbit

I.B.24 m₃ = 0.5T 60.33

I.B.24, a periodic three-body orbit

I.B.24 m₃ = 0.75T 73.01

I.B.24, a periodic three-body orbit

I.B.24T 55.56 stable

I.B.24, a periodic three-body orbit

I.B.24 m₃ = 2T 92.27 stable

I.B.24, a periodic three-body orbit

I.B.24 m₃ = 4T 170.1

I.B.25, a periodic three-body orbit

I.B.25 m₃ = 0.5T 58.83 stable

I.B.25, a periodic three-body orbit

I.B.25 m₃ = 0.75T 67.97 stable

I.B.25, a periodic three-body orbit

I.B.25, a periodic three-body orbit

I.B.25 m₃ = 2T 106.3

I.B.25, a periodic three-body orbit

I.B.25 m₃ = 4T 166.4 stable

I.B.26, a periodic three-body orbit

I.B.26 m₃ = 0.5T 50.35 stable

I.B.26, a periodic three-body orbit

I.B.26 m₃ = 0.75T 114.3

I.B.26, a periodic three-body orbit

I.B.26 m₃ = 2T 78.74

I.B.26, a periodic three-body orbit

I.B.26 m₃ = 4T 176.0 stable

I.B.27, a periodic three-body orbit

I.B.27 m₃ = 0.5T 58.25 stable

I.B.27, a periodic three-body orbit

I.B.27 m₃ = 0.75T 67.94

I.B.27, a periodic three-body orbit

I.B.27T 92.56 stable

I.B.27, a periodic three-body orbit

I.B.27 m₃ = 2T 101.1

I.B.27, a periodic three-body orbit

I.B.27 m₃ = 4T 172.1 stable

I.B.28, a periodic three-body orbit

I.B.28 m₃ = 0.5T 68.91

I.B.28, a periodic three-body orbit

I.B.28 m₃ = 0.75T 84.79

I.B.28, a periodic three-body orbit

I.B.28 m₃ = 2T 120.7 stable

I.B.28, a periodic three-body orbit

I.B.28 m₃ = 4T 191.6 stable

I.B.29, a periodic three-body orbit

I.B.29 m₃ = 0.5T 58.77 stable

I.B.29, a periodic three-body orbit

I.B.29 m₃ = 0.75T 58.69 stable

I.B.29, a periodic three-body orbit

I.B.29 m₃ = 2T 118.3 stable

I.B.30, a periodic three-body orbit

I.B.30 m₃ = 0.5T 56.40

I.B.30, a periodic three-body orbit

I.B.30 m₃ = 0.75T 48.20 stable

I.B.30, a periodic three-body orbit

I.B.30, a periodic three-body orbit

I.B.30 m₃ = 2T 97.36

I.B.31, a periodic three-body orbit

I.B.31 m₃ = 0.5T 46.72 stable

I.B.31, a periodic three-body orbit

I.B.31 m₃ = 0.75T 85.00

I.B.31, a periodic three-body orbit

I.B.31T 69.13 stable

I.B.31, a periodic three-body orbit

I.B.31 m₃ = 2T 124.4

I.B.32, a periodic three-body orbit

I.B.32 m₃ = 0.5T 46.75 stable

I.B.32, a periodic three-body orbit

I.B.32 m₃ = 0.75T 98.15

I.B.32, a periodic three-body orbit

I.B.32, a periodic three-body orbit

I.B.32 m₃ = 2T 127.7 stable

I.B.33, a periodic three-body orbit

I.B.33 m₃ = 0.5T 66.52 stable

I.B.33, a periodic three-body orbit

I.B.33 m₃ = 0.75T 75.66

I.B.33, a periodic three-body orbit

I.B.33T 82.62 stable

I.B.33, a periodic three-body orbit

I.B.33 m₃ = 2T 174.3 stable

I.B.34, a periodic three-body orbit

I.B.34 m₃ = 0.5T 58.89 stable

I.B.34, a periodic three-body orbit

I.B.34 m₃ = 0.75T 70.07 stable

I.B.34, a periodic three-body orbit

I.B.34 m₃ = 2T 104.0 stable

I.B.35, a periodic three-body orbit

I.B.35 m₃ = 0.5T 50.36

I.B.35, a periodic three-body orbit

I.B.35 m₃ = 0.75T 97.51

I.B.35, a periodic three-body orbit

I.B.35, a periodic three-body orbit

I.B.35 m₃ = 2T 120.6 stable

I.B.36, a periodic three-body orbit

I.B.36 m₃ = 0.5T 61.27

I.B.36, a periodic three-body orbit

I.B.36 m₃ = 0.75T 80.80 stable

I.B.36, a periodic three-body orbit

I.B.36 m₃ = 2T 114.8 stable

I.B.37, a periodic three-body orbit

I.B.37 m₃ = 0.5T 67.19 stable

I.B.37, a periodic three-body orbit

I.B.37 m₃ = 0.75T 70.39 stable

I.B.37, a periodic three-body orbit

I.B.37 m₃ = 2T 140.8 stable

I.B.38, a periodic three-body orbit

I.B.38 m₃ = 0.5T 46.98

I.B.38, a periodic three-body orbit

I.B.38 m₃ = 0.75T 81.73

I.B.38, a periodic three-body orbit

I.B.38 m₃ = 2T 118.9 stable

I.B.39, a periodic three-body orbit

I.B.39 m₃ = 0.5T 74.78 stable

I.B.39, a periodic three-body orbit

I.B.39 m₃ = 0.75T 97.75

I.B.39, a periodic three-body orbit

I.B.39, a periodic three-body orbit

I.B.39 m₃ = 2T 137.8 stable

I.B.40, a periodic three-body orbit

I.B.40 m₃ = 0.5T 52.57

I.B.40, a periodic three-body orbit

I.B.40 m₃ = 0.75T 81.48 stable

I.B.40, a periodic three-body orbit

I.B.40T 98.64 stable

I.B.40, a periodic three-body orbit

I.B.40 m₃ = 2T 160.9

I.B.41, a periodic three-body orbit

I.B.41 m₃ = 0.5T 53.16

I.B.41, a periodic three-body orbit

I.B.41 m₃ = 0.75T 58.94 stable

I.B.41, a periodic three-body orbit

I.B.41, a periodic three-body orbit

I.B.41 m₃ = 2T 199.7

I.B.42, a periodic three-body orbit

I.B.42 m₃ = 0.5T 58.07

I.B.42, a periodic three-body orbit

I.B.42 m₃ = 0.75T 110.1

I.B.42, a periodic three-body orbit

I.B.42T 94.73 stable

I.B.42, a periodic three-body orbit

I.B.42 m₃ = 2T 156.3 stable

I.B.43, a periodic three-body orbit

I.B.43 m₃ = 0.5T 85.96

I.B.43, a periodic three-body orbit

I.B.43 m₃ = 0.75T 105.9

I.B.43, a periodic three-body orbit

I.B.43 m₃ = 2T 114.8

I.B.44, a periodic three-body orbit

I.B.44 m₃ = 0.5T 50.22

I.B.44, a periodic three-body orbit

I.B.44 m₃ = 0.75T 88.14 stable

I.B.44, a periodic three-body orbit

I.B.44 m₃ = 2T 139.0 stable

I.B.45, a periodic three-body orbit

I.B.45 m₃ = 0.5T 67.23 stable

I.B.45, a periodic three-body orbit

I.B.45 m₃ = 0.75T 81.77 stable

I.B.45, a periodic three-body orbit

I.B.45, a periodic three-body orbit

I.B.45 m₃ = 2T 121.2 stable

I.B.46, a periodic three-body orbit

I.B.46 m₃ = 0.5T 90.16

I.B.46, a periodic three-body orbit

I.B.46 m₃ = 0.75T 109.3

I.B.46, a periodic three-body orbit

I.B.46 m₃ = 2T 164.6

I.B.47, a periodic three-body orbit

I.B.47 m₃ = 0.5T 75.62 stable

I.B.47, a periodic three-body orbit

I.B.47 m₃ = 0.75T 63.13

I.B.47, a periodic three-body orbit

I.B.47 m₃ = 2T 166.8 stable

I.B.48, a periodic three-body orbit

I.B.48 m₃ = 0.5T 83.04 stable

I.B.48, a periodic three-body orbit

I.B.48 m₃ = 0.75T 89.59

I.B.48, a periodic three-body orbit

I.B.48 m₃ = 2T 193.5 stable

I.B.49, a periodic three-body orbit

I.B.49 m₃ = 0.5T 88.96

I.B.49, a periodic three-body orbit

I.B.49 m₃ = 0.75T 98.68

I.B.49, a periodic three-body orbit

I.B.49 m₃ = 2T 193.1 stable

I.B.50, a periodic three-body orbit

I.B.50 m₃ = 0.5T 62.85 stable

I.B.50, a periodic three-body orbit

I.B.50 m₃ = 0.75T 93.18 stable

I.B.50, a periodic three-body orbit

I.B.50 m₃ = 2T 164.8 stable

I.B.51, a periodic three-body orbit

I.B.51 m₃ = 0.5T 80.76

I.B.51, a periodic three-body orbit

I.B.51 m₃ = 0.75T 103.2 stable

I.B.51, a periodic three-body orbit

I.B.51, a periodic three-body orbit

I.B.51 m₃ = 2T 191.4

I.B.52, a periodic three-body orbit

I.B.52 m₃ = 0.5T 90.55

I.B.52, a periodic three-body orbit

I.B.52 m₃ = 0.75T 121.5

I.B.52, a periodic three-body orbit

I.B.52, a periodic three-body orbit

I.B.52 m₃ = 2T 164.1 stable

I.B.53, a periodic three-body orbit

I.B.53 m₃ = 0.5T 84.06 stable

I.B.53, a periodic three-body orbit

I.B.53 m₃ = 0.75T 93.48 stable

I.B.53, a periodic three-body orbit

I.B.53 m₃ = 2T 187.8 stable

I.B.54, a periodic three-body orbit

I.B.54 m₃ = 0.5T 79.41

I.B.54, a periodic three-body orbit

I.B.54 m₃ = 0.75T 122.7

I.B.54, a periodic three-body orbit

I.B.54 m₃ = 2T 162.1 stable

I.B.55, a periodic three-body orbit

I.B.55 m₃ = 0.5T 91.30 stable

I.B.55, a periodic three-body orbit

I.B.55 m₃ = 0.75T 104.5 stable

I.B.55, a periodic three-body orbit

I.B.55T 99.97 stable

I.B.55, a periodic three-body orbit

I.B.55 m₃ = 2T 147.8

I.B.56, a periodic three-body orbit

I.B.56 m₃ = 0.5T 100.8 stable

I.B.56, a periodic three-body orbit

I.B.56 m₃ = 0.75T 93.79 stable

I.B.56, a periodic three-body orbit

I.B.56 m₃ = 2T 139.4 stable

I.B.57, a periodic three-body orbit

I.B.57 m₃ = 0.5T 63.58

I.B.57, a periodic three-body orbit

I.B.57 m₃ = 0.75T 102.6

I.B.57, a periodic three-body orbit

I.B.57, a periodic three-body orbit

I.B.57 m₃ = 2T 185.1 stable

I.B.58, a periodic three-body orbit

I.B.58 m₃ = 0.5T 75.06

I.B.58, a periodic three-body orbit

I.B.58 m₃ = 0.75T 134.0

I.B.58, a periodic three-body orbit

I.B.58, a periodic three-body orbit

I.B.58 m₃ = 2T 176.2

I.B.59, a periodic three-body orbit

I.B.59 m₃ = 0.5T 83.95 stable

I.B.59, a periodic three-body orbit

I.B.59 m₃ = 0.75T 121.1

I.B.59, a periodic three-body orbit

I.B.59T 55.76 stable

I.B.59, a periodic three-body orbit

I.B.59 m₃ = 2T 192.0

I.B.60, a periodic three-body orbit

I.B.60 m₃ = 0.5T 113.5

I.B.60, a periodic three-body orbit

I.B.60 m₃ = 0.75T 74.23 stable

I.B.60, a periodic three-body orbit

I.B.60, a periodic three-body orbit

I.B.60 m₃ = 2T 152.9 stable

I.B.61, a periodic three-body orbit

I.B.61 m₃ = 0.5T 109.2

I.B.61, a periodic three-body orbit

I.B.61 m₃ = 0.75T 114.7

I.B.61, a periodic three-body orbit

I.B.61T 117.7 stable

I.B.61, a periodic three-body orbit

I.B.61 m₃ = 2T 164.4 stable

I.B.62, a periodic three-body orbit

I.B.62 m₃ = 0.5T 92.50 stable

I.B.62, a periodic three-body orbit

I.B.62 m₃ = 0.75T 94.19 stable

I.B.62, a periodic three-body orbit

I.B.62, a periodic three-body orbit

I.B.62 m₃ = 2T 150.8

I.B.63, a periodic three-body orbit

I.B.63 m₃ = 0.5T 69.59 stable

I.B.63, a periodic three-body orbit

I.B.63 m₃ = 0.75T 108.1

I.B.63, a periodic three-body orbit

I.B.63, a periodic three-body orbit

I.B.63 m₃ = 2T 172.0

I.B.64, a periodic three-body orbit

I.B.64 m₃ = 0.5T 102.4

I.B.64, a periodic three-body orbit

I.B.64 m₃ = 0.75T 193.7

I.B.64, a periodic three-body orbit

I.B.64T 126.0 stable

I.B.64, a periodic three-body orbit

I.B.64 m₃ = 2T 195.0

I.B.65, a periodic three-body orbit

I.B.65 m₃ = 0.5T 68.27

I.B.65, a periodic three-body orbit

I.B.65 m₃ = 0.75T 133.7

I.B.65, a periodic three-body orbit

I.B.65, a periodic three-body orbit

I.B.65 m₃ = 2T 197.9 stable

I.B.66, a periodic three-body orbit

I.B.66 m₃ = 0.5T 109.1 stable

I.B.66, a periodic three-body orbit

I.B.66 m₃ = 0.75T 115.5 stable

I.B.66, a periodic three-body orbit

I.B.66T 117.2 stable

I.B.67, a periodic three-body orbit

I.B.67 m₃ = 0.5T 100.6

I.B.67, a periodic three-body orbit

I.B.67 m₃ = 0.75T 105.2 stable

I.B.67, a periodic three-body orbit

I.B.67T 125.2 stable

I.B.68, a periodic three-body orbit

I.B.68 m₃ = 0.5T 111.3

I.B.68, a periodic three-body orbit

I.B.68 m₃ = 0.75T 86.68 stable

I.B.68, a periodic three-body orbit

I.B.68T 109.4 stable

I.B.69, a periodic three-body orbit

I.B.69 m₃ = 0.5T 92.32 stable

I.B.69, a periodic three-body orbit

I.B.69 m₃ = 0.75T 136.5

I.B.69, a periodic three-body orbit

I.B.69T 129.4 stable

I.B.70, a periodic three-body orbit

I.B.70 m₃ = 0.5T 108.5 stable

I.B.70, a periodic three-body orbit

I.B.70 m₃ = 0.75T 105.5 stable

I.B.70, a periodic three-body orbit

I.B.70T 107.9 stable

I.B.71, a periodic three-body orbit

I.B.71 m₃ = 0.5T 100.9 stable

I.B.71, a periodic three-body orbit

I.B.71 m₃ = 0.75T 126.3

I.B.71, a periodic three-body orbit

I.B.71T 148.0 stable

I.B.72, a periodic three-body orbit

I.B.72 m₃ = 0.5T 116.6 stable

I.B.72, a periodic three-body orbit

I.B.72 m₃ = 0.75T 116.6 stable

I.B.72, a periodic three-body orbit

I.B.72T 157.2 stable

I.B.73, a periodic three-body orbit

I.B.73 m₃ = 0.5T 92.59 stable

I.B.73, a periodic three-body orbit

I.B.73 m₃ = 0.75T 84.36 stable

I.B.73, a periodic three-body orbit

I.B.73T 109.7 stable

I.B.74, a periodic three-body orbit

I.B.74 m₃ = 0.5T 107.8 stable

I.B.74, a periodic three-body orbit

I.B.74 m₃ = 0.75T 116.9 stable

I.B.74, a periodic three-body orbit

I.B.75, a periodic three-body orbit

I.B.75 m₃ = 0.5T 113.2

I.B.75, a periodic three-body orbit

I.B.75 m₃ = 0.75T 143.0

I.B.75, a periodic three-body orbit

I.B.75T 136.9 stable

I.B.76, a periodic three-body orbit

I.B.76 m₃ = 0.5T 102.4

I.B.76, a periodic three-body orbit

I.B.76 m₃ = 0.75T 138.2

I.B.76, a periodic three-body orbit

I.B.76T 110.6 stable

I.B.77, a periodic three-body orbit

I.B.77 m₃ = 0.5T 109.4 stable

I.B.77, a periodic three-body orbit

I.B.77 m₃ = 0.75T 136.6

I.B.77, a periodic three-body orbit

I.B.78, a periodic three-body orbit

I.B.78 m₃ = 0.5T 82.06 stable

I.B.78, a periodic three-body orbit

I.B.78 m₃ = 0.75T 117.2 stable

I.B.78, a periodic three-body orbit

I.B.79, a periodic three-body orbit

I.B.79 m₃ = 0.5T 100.9 stable

I.B.79, a periodic three-body orbit

I.B.79 m₃ = 0.75T 127.4

I.B.79, a periodic three-body orbit

I.B.79T 110.8 stable

I.B.80, a periodic three-body orbit

I.B.80 m₃ = 0.5T 99.36

I.B.80, a periodic three-body orbit

I.B.80 m₃ = 0.75T 128.3 stable

I.B.80, a periodic three-body orbit

I.B.80T 121.2 stable

I.B.81, a periodic three-body orbit

I.B.81 m₃ = 0.5T 80.61

I.B.81, a periodic three-body orbit

I.B.81 m₃ = 0.75T 117.6 stable

I.B.81, a periodic three-body orbit

I.B.81T 157.4 stable

I.B.82, a periodic three-body orbit

I.B.82 m₃ = 0.5T 116.0 stable

I.B.82, a periodic three-body orbit

I.B.82 m₃ = 0.75T 112.1

I.B.82, a periodic three-body orbit

I.B.83, a periodic three-body orbit

I.B.83 m₃ = 0.5T 94.99

I.B.83, a periodic three-body orbit

I.B.83 m₃ = 0.75T 139.3 stable

I.B.83, a periodic three-body orbit

I.B.83T 111.0 stable

I.B.84, a periodic three-body orbit

I.B.84 m₃ = 0.5T 125.0

I.B.84, a periodic three-body orbit

I.B.84 m₃ = 0.75T 94.47 stable

I.B.84, a periodic three-body orbit

I.B.85, a periodic three-body orbit

I.B.85 m₃ = 0.5T 117.8 stable

I.B.85, a periodic three-body orbit

I.B.85 m₃ = 0.75T 129.3 stable

I.B.85, a periodic three-body orbit

I.B.85T 111.2 stable

I.B.86, a periodic three-body orbit

I.B.86 m₃ = 0.5T 116.3 stable

I.B.86, a periodic three-body orbit

I.B.86 m₃ = 0.75T 150.3 stable

I.B.86, a periodic three-body orbit

I.B.86T 124.4 stable

I.B.87, a periodic three-body orbit

I.B.87 m₃ = 0.5T 129.2

I.B.87, a periodic three-body orbit

I.B.87 m₃ = 0.75T 153.0 stable

I.B.87, a periodic three-body orbit

I.B.88, a periodic three-body orbit

I.B.88 m₃ = 0.5T 140.5

I.B.88, a periodic three-body orbit

I.B.88 m₃ = 0.75T 153.0

I.B.88, a periodic three-body orbit

I.B.88T 134.4 stable

I.B.89, a periodic three-body orbit

I.B.89 m₃ = 0.5T 142.9 stable

I.B.89, a periodic three-body orbit

I.B.89 m₃ = 0.75T 140.3 stable

I.B.89, a periodic three-body orbit

I.B.90, a periodic three-body orbit

I.B.90 m₃ = 0.5T 141.5

I.B.90, a periodic three-body orbit

I.B.90 m₃ = 0.75T 140.6 stable

I.B.90, a periodic three-body orbit

I.B.90T 124.6 stable

I.B.91, a periodic three-body orbit

I.B.91 m₃ = 0.5T 126.3 stable

I.B.91, a periodic three-body orbit

I.B.91 m₃ = 0.75T 151.4 stable

I.B.91, a periodic three-body orbit

I.B.92, a periodic three-body orbit

I.B.92 m₃ = 0.5T 98.18 stable

I.B.92, a periodic three-body orbit

I.B.92 m₃ = 0.75T 140.0 stable

I.B.92, a periodic three-body orbit

I.B.92T 111.4 stable

I.B.93, a periodic three-body orbit

I.B.93 m₃ = 0.5T 132.6 stable

I.B.93, a periodic three-body orbit

I.B.93 m₃ = 0.75T 151.7 stable

I.B.93, a periodic three-body orbit

I.B.93T 137.0 stable

I.B.94, a periodic three-body orbit

I.B.94 m₃ = 0.5T 94.06

I.B.94, a periodic three-body orbit

I.B.94 m₃ = 0.75T 152.0 stable

I.B.94, a periodic three-body orbit

I.B.95, a periodic three-body orbit

I.B.95 m₃ = 0.5T 90.66

I.B.95, a periodic three-body orbit

I.B.95 m₃ = 0.75T 105.7 stable

I.B.95, a periodic three-body orbit

I.B.95T 147.4 stable

I.B.96, a periodic three-body orbit

I.B.96 m₃ = 0.5T 101.7 stable

I.B.96, a periodic three-body orbit

I.B.96 m₃ = 0.75T 172.4

I.B.96, a periodic three-body orbit

I.B.96T 111.7 stable

I.B.97, a periodic three-body orbit

I.B.97 m₃ = 0.5T 135.1

I.B.97, a periodic three-body orbit

I.B.97 m₃ = 0.75T 163.1 stable

I.B.97, a periodic three-body orbit

I.B.97T 172.2 stable

I.B.98, a periodic three-body orbit

I.B.98 m₃ = 0.5T 134.7 stable

I.B.98, a periodic three-body orbit

I.B.98 m₃ = 0.75T 172.9 stable

I.B.98, a periodic three-body orbit

I.B.99, a periodic three-body orbit

I.B.99 m₃ = 0.5T 141.7 stable

I.B.99, a periodic three-body orbit

I.B.99 m₃ = 0.75T 115.2 stable

I.B.99, a periodic three-body orbit

I.B.99T 125.0 stable

I.B.100, a periodic three-body orbit

I.B.100 m₃ = 0.5T 162.8

I.B.100, a periodic three-body orbit

I.B.100 m₃ = 0.75T 171.8

I.B.100, a periodic three-body orbit

I.B.100T 113.5 stable

I.B.101, a periodic three-body orbit

I.B.101 m₃ = 0.5T 170.2

I.B.101, a periodic three-body orbit

I.B.101 m₃ = 0.75T 158.5

I.B.101, a periodic three-body orbit

I.B.102, a periodic three-body orbit

I.B.102 m₃ = 0.5T 146.6

I.B.102, a periodic three-body orbit

I.B.102 m₃ = 0.75T 152.7 stable

I.B.102, a periodic three-body orbit

I.B.102T 199.5 stable

I.B.103, a periodic three-body orbit

I.B.103 m₃ = 0.5T 153.8

I.B.103, a periodic three-body orbit

I.B.103 m₃ = 0.75T 140.4

I.B.103, a periodic three-body orbit

I.B.103T 161.6 stable

I.B.104, a periodic three-body orbit

I.B.104 m₃ = 0.5T 140.8 stable

I.B.104, a periodic three-body orbit

I.B.104 m₃ = 0.75T 174.5 stable

I.B.104, a periodic three-body orbit

I.B.104T 184.6 stable

I.B.105, a periodic three-body orbit

I.B.105 m₃ = 0.5T 126.3 stable

I.B.105, a periodic three-body orbit

I.B.105 m₃ = 0.75T 139.3 stable

I.B.105, a periodic three-body orbit

I.B.106, a periodic three-body orbit

I.B.106 m₃ = 0.5T 143.2 stable

I.B.106, a periodic three-body orbit

I.B.106 m₃ = 0.75T 120.1 stable

I.B.106, a periodic three-body orbit

I.B.106T 150.6 stable

I.B.107, a periodic three-body orbit

I.B.107 m₃ = 0.5T 150.0 stable

I.B.107, a periodic three-body orbit

I.B.107 m₃ = 0.75T 135.4 stable

I.B.107, a periodic three-body orbit

I.B.107T 138.6 stable

I.B.108, a periodic three-body orbit

I.B.108 m₃ = 0.5T 180.8

I.B.108, a periodic three-body orbit

I.B.108 m₃ = 0.75T 125.7

I.B.108, a periodic three-body orbit

I.B.109, a periodic three-body orbit

I.B.109 m₃ = 0.5T 138.0

I.B.109, a periodic three-body orbit

I.B.109 m₃ = 0.75T 186.2 stable

I.B.109, a periodic three-body orbit

I.B.109T 138.8 stable

I.B.110, a periodic three-body orbit

I.B.110 m₃ = 0.5T 134.6 stable

I.B.110, a periodic three-body orbit

I.B.110 m₃ = 0.75T 195.3 stable

I.B.110, a periodic three-body orbit

I.B.111, a periodic three-body orbit

I.B.111 m₃ = 0.5T 105.2

I.B.111, a periodic three-body orbit

I.B.111 m₃ = 0.75T 196.9 stable

I.B.111, a periodic three-body orbit

I.B.111T 125.7 stable

I.B.112, a periodic three-body orbit

I.B.112 m₃ = 0.5T 147.7

I.B.112, a periodic three-body orbit

I.B.112 m₃ = 0.75T 175.7 stable

I.B.112, a periodic three-body orbit

I.B.112T 196.5 stable

I.B.113, a periodic three-body orbit

I.B.113 m₃ = 0.5T 158.2 stable

I.B.113, a periodic three-body orbit

I.B.113 m₃ = 0.75T 166.2

I.B.113, a periodic three-body orbit

I.B.114, a periodic three-body orbit

I.B.114 m₃ = 0.5T 142.7 stable

I.B.114, a periodic three-body orbit

I.B.114 m₃ = 0.75T 152.2

I.B.114, a periodic three-body orbit

I.B.114T 177.1 stable

I.B.115, a periodic three-body orbit

I.B.115 m₃ = 0.5T 117.8 stable

I.B.115, a periodic three-body orbit

I.B.115 m₃ = 0.75T 198.5 stable

I.B.115, a periodic three-body orbit

I.B.115T 138.9 stable

I.B.116, a periodic three-body orbit

I.B.116 m₃ = 0.5T 189.6

I.B.116, a periodic three-body orbit

I.B.116 m₃ = 0.75T 170.8

I.B.116, a periodic three-body orbit

I.B.116T 127.2 stable

I.B.117, a periodic three-body orbit

I.B.117 m₃ = 0.5T 157.3 stable

I.B.117, a periodic three-body orbit

I.B.117 m₃ = 0.75T 198.8 stable

I.B.117, a periodic three-body orbit

I.B.117T 178.0 stable

I.B.118, a periodic three-body orbit

I.B.118 m₃ = 0.5T 143.0 stable

I.B.118, a periodic three-body orbit

I.B.118 m₃ = 0.75T 184.9 stable

I.B.118, a periodic three-body orbit

I.B.118T 184.5 stable

I.B.119, a periodic three-body orbit

I.B.119 m₃ = 0.5T 128.1 stable

I.B.119, a periodic three-body orbit

I.B.119 m₃ = 0.75T 192.3 stable

I.B.119, a periodic three-body orbit

I.B.120, a periodic three-body orbit

I.B.120 m₃ = 0.5T 157.1

I.B.120, a periodic three-body orbit

I.B.120T 193.1 stable

I.B.121, a periodic three-body orbit

I.B.121 m₃ = 0.5T 120.4

I.B.121, a periodic three-body orbit

I.B.121T 165.9 stable

I.B.122, a periodic three-body orbit

I.B.122 m₃ = 0.5T 165.6 stable

I.B.122, a periodic three-body orbit

I.B.122T 152.7 stable

I.B.123, a periodic three-body orbit

I.B.123 m₃ = 0.5T 175.4 stable

I.B.123, a periodic three-body orbit

I.B.123T 139.6 stable

I.B.124, a periodic three-body orbit

I.B.124 m₃ = 0.5T 151.3 stable

I.B.124, a periodic three-body orbit

I.B.124T 177.1 stable

I.B.125, a periodic three-body orbit

I.B.125 m₃ = 0.5T 157.6

I.B.125, a periodic three-body orbit

I.B.125T 126.9 stable

I.B.126, a periodic three-body orbit

I.B.126 m₃ = 0.5T 163.4 stable

I.B.126, a periodic three-body orbit

I.B.126T 152.9 stable

I.B.127, a periodic three-body orbit

I.B.127 m₃ = 0.5T 114.6

I.B.127, a periodic three-body orbit

I.B.127T 178.2 stable

I.B.128, a periodic three-body orbit

I.B.128 m₃ = 0.5T 192.0

I.B.128, a periodic three-body orbit

I.B.128T 153.1 stable

I.B.129, a periodic three-body orbit

I.B.129 m₃ = 0.5T 173.1

I.B.129, a periodic three-body orbit

I.B.129T 166.3 stable

I.B.130, a periodic three-body orbit

I.B.130 m₃ = 0.5T 159.7 stable

I.B.130, a periodic three-body orbit

I.B.130T 166.5 stable

I.B.131, a periodic three-body orbit

I.B.131 m₃ = 0.5T 167.9 stable

I.B.131, a periodic three-body orbit

I.B.131T 153.3 stable

I.B.132, a periodic three-body orbit

I.B.132 m₃ = 0.5T 183.2

I.B.132, a periodic three-body orbit

I.B.132T 179.9 stable

I.B.133, a periodic three-body orbit

I.B.133 m₃ = 0.5T 183.0 stable

I.B.133, a periodic three-body orbit

I.B.133T 153.6 stable

I.B.134, a periodic three-body orbit

I.B.134 m₃ = 0.5T 133.0 stable

I.B.134, a periodic three-body orbit

I.B.134T 180.1 stable

I.B.135, a periodic three-body orbit

I.B.135 m₃ = 0.5T 182.2 stable

I.B.135, a periodic three-body orbit

I.B.135T 155.0 stable

I.B.136, a periodic three-body orbit

I.B.136 m₃ = 0.5T 179.0

I.B.136, a periodic three-body orbit

I.B.136T 193.6 stable

I.B.137, a periodic three-body orbit

I.B.137 m₃ = 0.5T 180.9

I.B.137, a periodic three-body orbit

I.B.138, a periodic three-body orbit

I.B.138 m₃ = 0.5T 136.8

I.B.138, a periodic three-body orbit

I.B.138T 180.6 stable

I.B.139, a periodic three-body orbit

I.B.139 m₃ = 0.5T 183.0

I.B.139, a periodic three-body orbit

I.B.139T 167.0 stable

I.B.140, a periodic three-body orbit

I.B.140 m₃ = 0.5T 182.2

I.B.140, a periodic three-body orbit

I.B.140T 167.3 stable

I.B.141, a periodic three-body orbit

I.B.141 m₃ = 0.5T 193.1 stable

I.B.141, a periodic three-body orbit

I.B.141T 180.8 stable

I.B.142, a periodic three-body orbit

I.B.142 m₃ = 0.5T 168.8 stable

I.B.142, a periodic three-body orbit

I.B.143, a periodic three-body orbit

I.B.143 m₃ = 0.5T 150.3

I.B.143, a periodic three-body orbit

I.B.143T 181.0 stable

I.B.144, a periodic three-body orbit

I.B.144 m₃ = 0.5T 159.3 stable

I.B.144, a periodic three-body orbit

I.B.144T 194.4 stable

I.B.145, a periodic three-body orbit

I.B.145 m₃ = 0.5T 193.4 stable

I.B.145, a periodic three-body orbit

I.B.145T 181.3 stable

I.B.146, a periodic three-body orbit

I.B.146 m₃ = 0.5T 156.5

I.B.146, a periodic three-body orbit

I.B.146T 181.2 stable

I.B.147, a periodic three-body orbit

I.B.147 m₃ = 0.5T 172.7 stable

I.B.147, a periodic three-body orbit

I.B.148, a periodic three-body orbit

I.B.148 m₃ = 0.5T 178.3 stable

I.B.148, a periodic three-body orbit

I.B.148T 194.6 stable

I.B.149, a periodic three-body orbit

I.B.149 m₃ = 0.5T 172.5

I.B.149, a periodic three-body orbit

I.B.149T 195.2 stable

I.B.150, a periodic three-body orbit

I.B.150 m₃ = 0.5T 173.9

I.B.150, a periodic three-body orbit

I.B.151, a periodic three-body orbit

I.B.151 m₃ = 0.5T 168.2

I.B.151, a periodic three-body orbit

I.B.151T 190.0 stable

I.B.152, a periodic three-body orbit

I.B.152 m₃ = 0.5T 193.6

I.B.152, a periodic three-body orbit

I.B.152T 182.8 stable

I.B.153, a periodic three-body orbit

I.B.154, a periodic three-body orbit

I.B.155, a periodic three-body orbit

I.B.155T 192.6 stable

I.B.157, a periodic three-body orbit

I.B.158, a periodic three-body orbit

I.B.159, a periodic three-body orbit

I.B.159T 111.1 stable

I.B.160, a periodic three-body orbit

I.B.161, a periodic three-body orbit

I.B.162, a periodic three-body orbit

I.B.163, a periodic three-body orbit

I.B.163T 170.7 stable

I.B.164, a periodic three-body orbit

I.B.165, a periodic three-body orbit

I.B.165T 176.4 stable

I.B.166, a periodic three-body orbit

I.B.167, a periodic three-body orbit

I.B.167T 125.2 stable

I.B.168, a periodic three-body orbit

I.B.168T 138.4 stable

I.B.169, a periodic three-body orbit

I.B.169T 172.1 stable

I.B.170, a periodic three-body orbit

I.B.170T 152.3 stable

I.B.171, a periodic three-body orbit

I.B.172, a periodic three-body orbit

I.B.173, a periodic three-body orbit

I.B.173T 139.3 stable

I.B.174, a periodic three-body orbit

I.B.174T 193.4 stable

I.B.175, a periodic three-body orbit

I.B.175T 179.7 stable

I.B.176, a periodic three-body orbit

I.B.176T 190.7 stable

I.B.177, a periodic three-body orbit

I.B.177T 166.8 stable

I.B.178, a periodic three-body orbit

I.B.178T 192.0 stable

I.B.179, a periodic three-body orbit

I.B.179T 167.0 stable

I.B.180, a periodic three-body orbit

I.B.180T 180.5 stable

I.B.181, a periodic three-body orbit

I.B.181T 193.8 stable

I.B.182, a periodic three-body orbit

I.B.183, a periodic three-body orbit

I.B.183T 169.0 stable

I.B.184, a periodic three-body orbit

I.B.184T 169.5 stable

I.B.185, a periodic three-body orbit

I.B.186, a periodic three-body orbit

I.B.187, a periodic three-body orbit

I.B.187T 182.9 stable

I.B.188, a periodic three-body orbit

I.B.189, a periodic three-body orbit

I.B.189T 196.9 stable

I.B.190, a periodic three-body orbit

I.B.191, a periodic three-body orbit