Atlas906 of 3,942

I.B.59

m₃ = 0.75

From Li & Liao (2017)

I.B.59 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 121.1 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 15.17), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000565 of each other at a top speed of 45, line up 168 times a period, and the computed loop closes to 7.4×10⁻²⁵.

Measured over one period

Period: 121.0976361
Masses: 1 : 1 : 0.75
Energy: -1.31719
Angular momentum: 0
Closest approach: 5.6×10⁻⁴
Top speed: 45.00
Path length: 282.98
Alignments per period: 168
Topology: abaBAbabABAbabABAbabABAbabABabaBABabaBABabABAbabABAbabABabaBABabaBABabaBABabaBAbabABAbabABAbaBABabaBAB (free-group class)
Stability: unstable (|λ|max 15.17)
Loop closure: 7.4×10⁻²⁵

Neighbours on the map

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