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I.B.13

From Li & Liao (2017)

I.B.13 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 49.632 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 189.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0154 of each other at a top speed of 8.07, line up 52 times a period, and the computed loop closes to 7.7×10⁻²⁵.

Measured over one period

Period: 49.63150662
Masses: 1 : 1 : 1
Energy: -1.37222
Angular momentum: 0
Closest approach: 0.01544
Top speed: 8.071
Path length: 129.24
Alignments per period: 52
Topology: abaBAbaBAbaBAbaBAbabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 189.4)
Loop closure: 7.7×10⁻²⁵

Neighbours on the map

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