Atlas2,029 of 3,915

II.C.158

m₃ = 0.75

From Li & Liao (2017)

II.C.158 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 182.64 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 1.075), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000123 of each other at a top speed of 96.4, line up 288 times a period, and the computed loop closes to 3.8×10⁻²⁴.

Measured over one period

Period: 182.6440042
Masses: 1 : 1 : 0.75
Energy: -1.44898
Angular momentum: 0
Closest approach: 1.2×10⁻⁴
Top speed: 96.37
Path length: 462.78
Alignments per period: 288
Stability: weakly unstable (|λ|max 1.075)
Loop closure: 3.8×10⁻²⁴

Neighbours on the map

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