Atlas1,442 of 3,942

II.C.88

m₃ = 0.75

From Li & Liao (2017)

II.C.88 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 151.53 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 51.65), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000478 of each other at a top speed of 48.9, line up 120 times a period, and the computed loop closes to 4.8×10⁻²⁵.

Measured over one period

Period: 151.5260971
Masses: 1 : 1 : 0.75
Energy: -0.937827
Angular momentum: 0
Closest approach: 4.8×10⁻⁴
Top speed: 48.93
Path length: 327.03
Alignments per period: 120
Topology: abaBabaBAbabAbabABabABabABabaBAbaBAbaBAbabABabABabABabaBAbaBAbaBAbabABabABabAB (free-group class)
Stability: unstable (|λ|max 51.65)
Loop closure: 4.8×10⁻²⁵

Neighbours on the map

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