Atlas1,753 of 3,915

II.C.116

m₃ = 0.75

From Li & Liao (2017)

II.C.116 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 131.09 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 144.2), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00189 of each other at a top speed of 24.6, line up 170 times a period, and the computed loop closes to 4.0×10⁻²⁶.

Measured over one period

Period: 131.0937525
Masses: 1 : 1 : 0.75
Energy: -1.30036
Angular momentum: 0
Closest approach: 0.001889
Top speed: 24.64
Path length: 332.18
Alignments per period: 170
Stability: unstable (|λ|max 144.2)
Loop closure: 4.0×10⁻²⁶

Neighbours on the map

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