Atlas1,592 of 3,942

II.C.7

m₃ = 2

From Li & Liao (2017)

II.C.7 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 16.914 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 602.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00304 of each other at a top speed of 29.7, line up 26 times a period, and the computed loop closes to 1.8×10⁻²⁵.

Measured over one period

Period: 16.91404352
Masses: 1 : 1 : 2
Energy: -2.70710
Angular momentum: 0
Closest approach: 0.003042
Top speed: 29.67
Path length: 45.245
Alignments per period: 26
Topology: aababbaBABABAb (free-group class)
Stability: unstable (|λ|max 602.7)
Loop closure: 1.8×10⁻²⁵

Neighbours on the map

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