Atlas1,299 of 3,942

I.B.84

From Li & Liao (2017)

I.B.84 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 188.88 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.144), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00189 of each other at a top speed of 23, line up 184 times a period, and the computed loop closes to 7.8×10⁻²⁵.

Measured over one period

Period: 188.8772873
Masses: 1 : 1 : 1
Energy: -1.30305
Angular momentum: 0
Closest approach: 0.001889
Top speed: 23.01
Path length: 470.76
Alignments per period: 184
Topology: abaBAbaBAbabABabABabaBAbaBAbabABabABAbaBAbaBABabABabABAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBABabABabABAbaBAbaBABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.144)
Loop closure: 7.8×10⁻²⁵

Neighbours on the map

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