Atlas1,547 of 3,915

II.C.83

m₃ = 0.75

From Li & Liao (2017)

II.C.83 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 130.52 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 662.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00506 of each other at a top speed of 15, line up 106 times a period, and the computed loop closes to 2.6×10⁻²⁵.

Measured over one period

Period: 130.5165320
Masses: 1 : 1 : 0.75
Energy: -0.990394
Angular momentum: 0
Closest approach: 0.005064
Top speed: 15.01
Path length: 295.78
Alignments per period: 106
Stability: unstable (|λ|max 662.6)
Loop closure: 2.6×10⁻²⁵

Neighbours on the map

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