Atlas855 of 3,942

I.B.123

From Li & Liao (2017)

I.B.123 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 139.63 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 0.0000172 of each other at a top speed of 241, line up 276 times a period, and the computed loop closes to 1.3×10⁻²¹.

Measured over one period

Period: 139.6277439
Masses: 1 : 1 : 1
Energy: -1.99558
Angular momentum: 0
Closest approach: 1.7×10⁻⁵
Top speed: 241.0
Path length: 356.56
Alignments per period: 276
Topology: ababABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABababABABababABABababABABababABABababABABababABABababABABababABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.3×10⁻²¹

Neighbours on the map

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