Atlas1,067 of 3,942

I.B.77

From Li & Liao (2017)

I.B.77 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 136.8 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 8.098), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000666 of each other at a top speed of 38.8, line up 180 times a period, and the computed loop closes to 3.4×10⁻²⁵.

Measured over one period

Period: 136.7985867
Masses: 1 : 1 : 1
Energy: -1.54611
Angular momentum: 0
Closest approach: 6.7×10⁻⁴
Top speed: 38.81
Path length: 337.18
Alignments per period: 180
Topology: ababABababABAbabaBABabaBABababABAbabaBABabaBABababABAbabaBAbabaBABababABAbabABAbabaBABababABAbabABAbabaBAB (free-group class)
Stability: weakly unstable (|λ|max 8.098)
Loop closure: 3.4×10⁻²⁵

Neighbours on the map

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