Atlas1,092 of 3,942

I.B.82

From Li & Liao (2017)

I.B.82 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 152.29 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 220.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00132 of each other at a top speed of 27.5, line up 192 times a period, and the computed loop closes to 4.5×10⁻²⁵.

Measured over one period

Period: 152.2861065
Masses: 1 : 1 : 1
Energy: -1.50872
Angular momentum: 0
Closest approach: 0.001322
Top speed: 27.52
Path length: 375.95
Alignments per period: 192
Topology: ababABababABAbabABAbabABABabaBABabaBABabaBABAbabABAbabABAbabaBAbabaBABabaBABabaBABAbabABAbabABAbabABABabaBABabaBAB (free-group class)
Stability: unstable (|λ|max 220.4)
Loop closure: 4.5×10⁻²⁵

Neighbours on the map

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