Atlas1,976 of 3,915

II.C.133

m₃ = 0.75

From Li & Liao (2017)

II.C.133 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 136.81 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.025), so a small nudge only makes it wobble. The bodies pass within 0.0000672 of each other at a top speed of 13, line up 210 times a period, and the computed loop closes to 6.3×10⁻¹⁷.

Measured over one period

Period: 136.8114268
Masses: 1 : 1 : 0.75
Energy: -1.42443
Angular momentum: 0
Closest approach: 6.7×10⁻⁵
Top speed: 130.4
Path length: 344.54
Alignments per period: 210
Stability: stable (|λ|max 1.025)
Loop closure: 6.3×10⁻¹⁷

Neighbours on the map

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