Atlas847 of 3,942

I.B.133

From Li & Liao (2017)

I.B.133 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 153.56 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000139 of each other at a top speed of 269, line up 304 times a period, and the computed loop closes to 6.5×10⁻¹⁸.

Measured over one period

Period: 153.5622331
Masses: 1 : 1 : 1
Energy: -1.99736
Angular momentum: 0
Closest approach: 1.4×10⁻⁵
Top speed: 268.6
Path length: 391.93
Alignments per period: 304
Topology: ababABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABababABABababABABababABABababABABababABABababABABababABABababABABababABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 6.5×10⁻¹⁸

Neighbours on the map

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