Atlas1,684 of 3,915

II.C.76

m₃ = 0.75

From Li & Liao (2017)

II.C.76 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 88.83 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 226), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00461 of each other at a top speed of 15.7, line up 108 times a period, and the computed loop closes to 3.2×10⁻²⁶.

Measured over one period

Period: 88.82981268
Masses: 1 : 1 : 0.75
Energy: -1.24658
Angular momentum: 0
Closest approach: 0.004611
Top speed: 15.71
Path length: 220.42
Alignments per period: 108
Stability: unstable (|λ|max 226.0)
Loop closure: 3.2×10⁻²⁶

Neighbours on the map

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