Atlas1,563 of 3,942

II.C.14

m₃ = 0.75

From Li & Liao (2017)

II.C.14 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 56.582 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 816.1), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0482 of each other at a top speed of 4.81, line up 34 times a period, and the computed loop closes to 8.6×10⁻²⁷.

Measured over one period

Period: 56.58213859
Masses: 1 : 1 : 0.75
Energy: -0.813966
Angular momentum: 0
Closest approach: 0.04820
Top speed: 4.813
Path length: 111.71
Alignments per period: 34
Topology: aaBAbaBABaaBAbaBABabAB (free-group class)
Stability: unstable (|λ|max 816.1)
Loop closure: 8.6×10⁻²⁷

Neighbours on the map

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