Atlas832 of 3,942

I.B.59

From Li & Liao (2017)

I.B.59 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 55.761 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 0.000163 of each other at a top speed of 78.2, line up 108 times a period, and the computed loop closes to 1.7×10⁻²⁴.

Measured over one period

Period: 55.76105314
Masses: 1 : 1 : 1
Energy: -1.97215
Angular momentum: 0
Closest approach: 1.6×10⁻⁴
Top speed: 78.20
Path length: 143.70
Alignments per period: 108
Topology: ababABAbabaBABAbabaBABAbabaBABAbabaBABababABABababABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.7×10⁻²⁴

Neighbours on the map

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