Atlas977 of 3,942

I.B.48

m₃ = 0.75

From Li & Liao (2017)

I.B.48 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 89.592 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 2.798), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00129 of each other at a top speed of 29.7, line up 140 times a period, and the computed loop closes to 1.9×10⁻²⁵.

Measured over one period

Period: 89.59150662
Masses: 1 : 1 : 0.75
Energy: -1.43547
Angular momentum: 0
Closest approach: 0.001292
Top speed: 29.72
Path length: 223.84
Alignments per period: 140
Topology: abaBAbabABAbabABabaBABabABAbabABabaBABabABAbabABabaBABabaBAbabABAbaBABabaBAbabABAbaBAB (free-group class)
Stability: weakly unstable (|λ|max 2.798)
Loop closure: 1.9×10⁻²⁵

Neighbours on the map

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