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I.B.103

From Li & Liao (2017)

I.B.103 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 161.55 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.001), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000253 of each other at a top speed of 62.9, line up 220 times a period, and the computed loop closes to 1.2×10⁻²⁴.

Measured over one period

Period: 161.5522957
Masses: 1 : 1 : 1
Energy: -1.60520
Angular momentum: 0
Closest approach: 2.5×10⁻⁴
Top speed: 62.89
Path length: 426.94
Alignments per period: 220
Topology: abaBAbabABAbabABabaBABabaBABabABAbabABAbabABabaBABabaBABabABAbabABAbabABabaBABabaBAbabABAbabABAbaBABabaBABabaBAbabABAbabABAbaBABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.001)
Loop closure: 1.2×10⁻²⁴

Neighbours on the map

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