Atlas1,068 of 3,942

I.B.175

From Li & Liao (2017)

I.B.175 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 179.71 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 0.0000852 of each other at a top speed of 108, line up 288 times a period, and the computed loop closes to 2.5×10⁻²³.

Measured over one period

Period: 179.7068266
Masses: 1 : 1 : 1
Energy: -1.76529
Angular momentum: 0
Closest approach: 8.5×10⁻⁵
Top speed: 108.3
Path length: 476.57
Alignments per period: 288
Topology: ababABAbabABAbabaBABabaBABababABAbabABAbabaBABabaBABAbabABAbabABABabaBABabaBABAbabABAbabaBABabaBABababABAbabABAbabaBABabaBABababABAbabABABabaBABabaBABAbabABAbabABABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.5×10⁻²³

Neighbours on the map

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