Atlas2,221 of 3,942

II.C.95

m₃ = 0.5

From Li & Liao (2017)

II.C.95 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 132 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 70.51), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000936 of each other at a top speed of 37.7, line up 138 times a period, and the computed loop closes to 9.2×10⁻²⁵.

Measured over one period

Period: 132.0028545
Masses: 1 : 1 : 0.5
Energy: -0.855978
Angular momentum: 0
Closest approach: 9.4×10⁻⁴
Top speed: 37.71
Path length: 267.62
Alignments per period: 138
Topology: aabAbaBAbaBAbaBBaabAbbAABaBAbaBBaabAbbAABaBAbaBAbaBAbbAABaBBaabAbaBAbbAABaBBaabAbaBAbbAABaBB (free-group class)
Stability: unstable (|λ|max 70.51)
Loop closure: 9.2×10⁻²⁵

Neighbours on the map

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