Atlas2,206 of 3,915

II.C.128

m₃ = 0.75

From Li & Liao (2017)

II.C.128 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 169.3 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 27.22), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000156 of each other at a top speed of 85.6, line up 204 times a period, and the computed loop closes to 5.2×10⁻²⁴.

Measured over one period

Period: 169.3015661
Masses: 1 : 1 : 0.75
Energy: -1.18834
Angular momentum: 0
Closest approach: 1.6×10⁻⁴
Top speed: 85.56
Path length: 355.26
Alignments per period: 204
Stability: unstable (|λ|max 27.22)
Loop closure: 5.2×10⁻²⁴

Neighbours on the map

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