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I.C.2

m₃ = 2

From Li, Jing & Liao (2018)

I.C.2 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 183.44 time units, published by Li, Jing & Liao (2018). The rare class I.C orbits. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000181 of each other at a top speed of 383, line up 424 times a period, and the computed loop closes to 5.3×10⁻²¹.

Measured over one period

Period: 183.4448758
Masses: 1 : 1 : 2
Energy: -3.56860
Angular momentum: 0
Closest approach: 1.8×10⁻⁵
Top speed: 383.4
Path length: 541.26
Alignments per period: 424
Topology: ababababABABABAbabababABABABAbabababABABABAbabababABABABAbabababaBABABABabababaBABABABabababaBABABABabababaBABABAB (free-group class, shape period T/2)
Stability: stable (|λ|max 1.000)
Loop closure: 5.3×10⁻²¹

Neighbours on the map

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