Atlas814 of 3,942

I.B.89

m₃ = 0.75

From Li & Liao (2017)

I.B.89 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 140.3 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 0.000033 of each other at a top speed of 186, line up 236 times a period, and the computed loop closes to 5.6×10⁻²³.

Measured over one period

Period: 140.2991414
Masses: 1 : 1 : 0.75
Energy: -1.48964
Angular momentum: 0
Closest approach: 3.3×10⁻⁵
Top speed: 186.2
Path length: 341.66
Alignments per period: 236
Topology: abaBAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 5.6×10⁻²³

Neighbours on the map

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