Atlas2,122 of 3,915

II.C.86

m₃ = 0.75

From Li & Liao (2017)

II.C.86 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 101.63 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 1.557), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000397 of each other at a top speed of 53.6, line up 130 times a period, and the computed loop closes to 5.4×10⁻²⁴.

Measured over one period

Period: 101.6265286
Masses: 1 : 1 : 0.75
Energy: -1.23903
Angular momentum: 0
Closest approach: 4.0×10⁻⁴
Top speed: 53.62
Path length: 221.74
Alignments per period: 130
Stability: weakly unstable (|λ|max 1.557)
Loop closure: 5.4×10⁻²⁴

Neighbours on the map

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