Atlas979 of 3,942

I.B.86

m₃ = 0.75

From Li & Liao (2017)

I.B.86 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 150.26 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 0.0000749 of each other at a top speed of 124, line up 224 times a period, and the computed loop closes to 3.8×10⁻²³.

Measured over one period

Period: 150.2600860
Masses: 1 : 1 : 0.75
Energy: -1.39332
Angular momentum: 0
Closest approach: 7.5×10⁻⁵
Top speed: 123.5
Path length: 371.64
Alignments per period: 224
Topology: abaBAbabABabaBABabABAbabABabaBABabABAbabABabaBABabABAbabABabaBABabABAbabABabaBAbabABAbaBABabaBAbabABAbaBABabaBAbabABAbaBABabaBAbabABAbaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.8×10⁻²³

Neighbours on the map

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