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I.C.1

m₃ = 0.75

From Li, Jing & Liao (2018)

I.C.1 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 164.18 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 0.0000476 of each other at a top speed of 155, line up 288 times a period, and the computed loop closes to 8.5×10⁻²³.

Measured over one period

Period: 164.1798151
Masses: 1 : 1 : 0.75
Energy: -1.52475
Angular momentum: 0
Closest approach: 4.8×10⁻⁵
Top speed: 154.9
Path length: 395.03
Alignments per period: 288
Topology: ababABAbabABAbabABAbabABAbabABAbabABAbabABAbabaBABabaBABabaBABabaBABabaBABabaBABabaBAB (free-group class, shape period T/2)
Stability: stable (|λ|max 1.000)
Loop closure: 8.5×10⁻²³

Neighbours on the map

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