Atlas1,495 of 3,942

II.C.27

m₃ = 0.75

From Li & Liao (2017)

II.C.27 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 64.081 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 452.1), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0185 of each other at a top speed of 7.92, line up 58 times a period, and the computed loop closes to 3.2×10⁻²⁷.

Measured over one period

Period: 64.08137091
Masses: 1 : 1 : 0.75
Energy: -1.02857
Angular momentum: 0
Closest approach: 0.01852
Top speed: 7.915
Path length: 145.77
Alignments per period: 58
Topology: abaBabaBAbaBAbabAbabABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 452.1)
Loop closure: 3.2×10⁻²⁷

Neighbours on the map

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