Atlas905 of 3,942

I.B.91

m₃ = 0.75

From Li & Liao (2017)

I.B.91 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 151.4 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 0.0000502 of each other at a top speed of 151, line up 240 times a period, and the computed loop closes to 4.4×10⁻²³.

Measured over one period

Period: 151.3989527
Masses: 1 : 1 : 0.75
Energy: -1.44128
Angular momentum: 0
Closest approach: 5.0×10⁻⁵
Top speed: 150.8
Path length: 372.30
Alignments per period: 240
Topology: abaBAbabABAbabABAbabABabaBABabaBABabABAbabABAbabABabaBABabaBABabABAbabABAbabABabaBABabaBABabaBAbabABAbabABAbaBABabaBABabaBAbabABAbabABAbaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 4.4×10⁻²³

Neighbours on the map

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