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I.B.72

From Li & Liao (2017)

I.B.72 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 157.22 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00161 of each other at a top speed of 24.9, line up 152 times a period, and the computed loop closes to 6.6×10⁻²⁵.

Measured over one period

Period: 157.2189925
Masses: 1 : 1 : 1
Energy: -1.29776
Angular momentum: 0
Closest approach: 0.001607
Top speed: 24.95
Path length: 392.79
Alignments per period: 152
Topology: abaBAbaBAbabABabABabaBAbaBAbaBABabABabABAbaBAbaBAbabABabABabaBAbaBAbabABabABabABAbaBAbaBABabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 6.6×10⁻²⁵

Neighbours on the map

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