Atlas972 of 3,942

I.B.154

From Li & Liao (2017)

I.B.154 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 191.78 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.291), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000461 of each other at a top speed of 147, line up 396 times a period, and the computed loop closes to 1.2×10⁻²².

Measured over one period

Period: 191.7840057
Masses: 1 : 1 : 1
Energy: -2.07243
Angular momentum: 0
Closest approach: 4.6×10⁻⁵
Top speed: 147.2
Path length: 529.27
Alignments per period: 396
Topology: ababABAbabaBABababABAbabaBABAbabaBABababABAbabaBABababABABabaBABAbabABABabaBABAbabaBABababABABabaBABAbabABABabaBABAbabaBABababABAbabaBABababABABababABAbabaBABababABAbabaBABAbabABABabaBABAbabABABababABAbabaBABAbabABABabaBABAbabABAB (free-group class)
Stability: weakly unstable (|λ|max 1.291)
Loop closure: 1.2×10⁻²²

Neighbours on the map

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