Atlas947 of 3,942

I.B.83

m₃ = 0.75

From Li & Liao (2017)

I.B.83 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 139.27 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 0.0000787 of each other at a top speed of 121, line up 212 times a period, and the computed loop closes to 2.1×10⁻²³.

Measured over one period

Period: 139.2710432
Masses: 1 : 1 : 0.75
Energy: -1.40922
Angular momentum: 0
Closest approach: 7.9×10⁻⁵
Top speed: 120.5
Path length: 343.78
Alignments per period: 212
Topology: abaBAbabABAbabABabaBABabABAbabABabaBABabaBAbabABAbaBABabaBABabABAbabABabaBABabaBAbabABAbaBABabaBAbabABAbabABabaBABabABAbabABAbaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.1×10⁻²³

Neighbours on the map

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