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II.C.16

m₃ = 4

From Li & Liao (2017)

II.C.16 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 162.33 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00000322 of each other at a top speed of 141, line up 448 times a period, and the computed loop closes to 4.0×10⁻²⁰.

Measured over one period

Period: 162.3271446
Masses: 1 : 1 : 4
Energy: -6.51361
Angular momentum: 0
Closest approach: 3.2×10⁻⁶
Top speed: 1410
Path length: 655.89
Alignments per period: 448
Stability: stable (|λ|max 1.000)
Loop closure: 4.0×10⁻²⁰

Neighbours on the map

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