Atlas867 of 3,942

I.B.72

m₃ = 0.75

From Li & Liao (2017)

I.B.72 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 116.59 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 0.0000734 of each other at a top speed of 125, line up 188 times a period, and the computed loop closes to 8.9×10⁻²⁴.

Measured over one period

Period: 116.5906135
Masses: 1 : 1 : 0.75
Energy: -1.45502
Angular momentum: 0
Closest approach: 7.3×10⁻⁵
Top speed: 124.7
Path length: 286.09
Alignments per period: 188
Topology: abaBAbabABAbabABAbabABabaBABabaBABabaBABabABAbabABAbabABAbabABabaBABabaBABabaBAbabABAbabABAbabABAbaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 8.9×10⁻²⁴

Neighbours on the map

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