Atlas1,687 of 3,915

II.C.100

m₃ = 0.75

From Li & Liao (2017)

II.C.100 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 148.4 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 92.54), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00427 of each other at a top speed of 16.4, line up 126 times a period, and the computed loop closes to 1.2×10⁻²⁶.

Measured over one period

Period: 148.3975352
Masses: 1 : 1 : 0.75
Energy: -1.02100
Angular momentum: 0
Closest approach: 0.004266
Top speed: 16.35
Path length: 336.90
Alignments per period: 126
Stability: unstable (|λ|max 92.54)
Loop closure: 1.2×10⁻²⁶

Neighbours on the map

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