Atlas1,755 of 3,942

II.C.93

m₃ = 0.75

From Li & Liao (2017)

II.C.93 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 102.68 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 346), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00352 of each other at a top speed of 18, line up 132 times a period, and the computed loop closes to 5.4×10⁻²⁶.

Measured over one period

Period: 102.6797843
Masses: 1 : 1 : 0.75
Energy: -1.29662
Angular momentum: 0
Closest approach: 0.003516
Top speed: 17.96
Path length: 260.80
Alignments per period: 132
Topology: abaBabaBAbaBAbabAbabABabABabaBAbaBAbaBAbaBAbabABabABabaBabaBAbaBAbabAbabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 346.0)
Loop closure: 5.4×10⁻²⁶

Neighbours on the map

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