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II.C.6

m₃ = 4

From Li & Liao (2017)

II.C.6 m₃ = 4 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 4 that return to their starting positions and velocities every 109.9 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 211), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000284 of each other at a top speed of 15, line up 278 times a period, and the computed loop closes to 1.7×10⁻²⁴.

Measured over one period

Period: 109.9022712
Masses: 1 : 1 : 4
Energy: -6.15971
Angular momentum: 0
Closest approach: 2.8×10⁻⁴
Top speed: 150.1
Path length: 450.49
Alignments per period: 278
Stability: unstable (|λ|max 211.0)
Loop closure: 1.7×10⁻²⁴

Neighbours on the map

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