Atlas1,688 of 3,942

II.C.30

m₃ = 0.75

From Li & Liao (2017)

II.C.30 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 61.269 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 615.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00451 of each other at a top speed of 15.9, line up 56 times a period, and the computed loop closes to 6.0×10⁻²⁶.

Measured over one period

Period: 61.26867391
Masses: 1 : 1 : 0.75
Energy: -1.07232
Angular momentum: 0
Closest approach: 0.004505
Top speed: 15.95
Path length: 144.98
Alignments per period: 56
Topology: aaBAbabAAbaBAbabAAbaBABabAAbaBAbabAB (free-group class)
Stability: unstable (|λ|max 615.5)
Loop closure: 6.0×10⁻²⁶

Neighbours on the map

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