Atlas933 of 3,942

I.B.77

m₃ = 0.75

From Li & Liao (2017)

I.B.77 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 136.62 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 7.768), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000692 of each other at a top speed of 40.6, line up 200 times a period, and the computed loop closes to 9.2×10⁻²⁵.

Measured over one period

Period: 136.6224403
Masses: 1 : 1 : 0.75
Energy: -1.36893
Angular momentum: 0
Closest approach: 6.9×10⁻⁴
Top speed: 40.62
Path length: 329.09
Alignments per period: 200
Topology: abaBAbabABAbabABabaBABabaBAbabABAbabABabaBABabaBABabABAbabABAbabABabaBABabaBAbabABAbabABabaBABabaBAbabABAbabABAbaBABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 7.768)
Loop closure: 9.2×10⁻²⁵

Neighbours on the map

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