Atlas1,094 of 3,942

I.B.153

From Li & Liao (2017)

I.B.153 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 199.55 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 11.05), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000385 of each other at a top speed of 51, line up 392 times a period, and the computed loop closes to 9.3×10⁻²⁵.

Measured over one period

Period: 199.5506772
Masses: 1 : 1 : 1
Energy: -2.01575
Angular momentum: 0
Closest approach: 3.9×10⁻⁴
Top speed: 50.97
Path length: 557.65
Alignments per period: 392
Topology: ababABAbabaBABababABAbabABABabaBABAbabABAbabABABabaBABAbabABAbabaBABababABAbabABABabaBABAbabABAbabABABabaBABAbabABAbabaBABababABAbabaBABabaBABAbabABABabaBABabaBABAbabABABabaBABababABAbabaBABabaBABAbabABABabaBABabaBABAbabABABabaBAB (free-group class)
Stability: unstable (|λ|max 11.05)
Loop closure: 9.3×10⁻²⁵

Neighbours on the map

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