Atlas2,045 of 3,915

II.C.92

m₃ = 0.5

From Li & Liao (2017)

II.C.92 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 100.09 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 16.89), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000132 of each other at a top speed of 101, line up 134 times a period, and the computed loop closes to 1.8×10⁻²³.

Measured over one period

Period: 100.0943865
Masses: 1 : 1 : 0.5
Energy: -1.01293
Angular momentum: 0
Closest approach: 1.3×10⁻⁴
Top speed: 100.6
Path length: 234.04
Alignments per period: 134
Stability: unstable (|λ|max 16.89)
Loop closure: 1.8×10⁻²³

Neighbours on the map

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