Atlas1,785 of 3,915

II.C.82

m₃ = 2

From Li & Liao (2017)

II.C.82 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 150.26 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 1.011), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000624 of each other at a top speed of 654, line up 394 times a period, and the computed loop closes to 9.2×10⁻²¹.

Measured over one period

Period: 150.2626044
Masses: 1 : 1 : 2
Energy: -3.88332
Angular momentum: 0
Closest approach: 6.2×10⁻⁶
Top speed: 653.8
Path length: 465.91
Alignments per period: 394
Stability: weakly unstable (|λ|max 1.011)
Loop closure: 9.2×10⁻²¹

Neighbours on the map

All II.C orbits, the families of periodic three-body orbits, or the atlas map.