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I.B.114

From Li & Liao (2017)

I.B.114 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 177.14 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.000), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000239 of each other at a top speed of 64.7, line up 240 times a period, and the computed loop closes to 5.3×10⁻²⁵.

Measured over one period

Period: 177.1374987
Masses: 1 : 1 : 1
Energy: -1.59904
Angular momentum: 0
Closest approach: 2.4×10⁻⁴
Top speed: 64.69
Path length: 466.69
Alignments per period: 240
Topology: abaBAbabABAbabABAbabABabaBABabaBABabABAbabABAbabABabaBABabaBABabABAbabABAbabABabaBABabaBABabaBAbabABAbabABAbaBABabaBABabaBAbabABAbabABAbaBABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.000)
Loop closure: 5.3×10⁻²⁵

Neighbours on the map

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