Atlas788 of 3,942

I.B.100

m₃ = 0.5

From Li & Liao (2017)

I.B.100 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 162.83 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.736), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000328 of each other at a top speed of 201, line up 200 times a period, and the computed loop closes to 1.3×10⁻²².

Measured over one period

Period: 162.8324324
Masses: 1 : 1 : 0.5
Energy: -0.937311
Angular momentum: 0
Closest approach: 3.3×10⁻⁵
Top speed: 201.4
Path length: 337.62
Alignments per period: 200
Topology: abaBabaBAbABAbaBABabAbabABabaBAbABAbaBABaBAbabABabaBabABAbaBABaBAbabAbabABaBABabABAbaBabaBAbabABaBABabABAbABabaBAbabAbaBABabABAbAB (free-group class)
Stability: weakly unstable (|λ|max 1.736)
Loop closure: 1.3×10⁻²²

Neighbours on the map

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