Atlas1,014 of 3,942

I.B.38

m₃ = 0.5

From Li & Liao (2017)

I.B.38 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 46.982 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 3.959), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000665 of each other at a top speed of 448, line up 100 times a period, and the computed loop closes to 3.2×10⁻²².

Measured over one period

Period: 46.98237416
Masses: 1 : 1 : 0.5
Energy: -1.36565
Angular momentum: 0
Closest approach: 6.6×10⁻⁶
Top speed: 447.9
Path length: 120.56
Alignments per period: 100
Topology: ababAbaBAbaBABabABabAbabaBaBABAbAbabaBabABabABAbaBAbaBababAbABABaB (free-group class)
Stability: weakly unstable (|λ|max 3.959)
Loop closure: 3.2×10⁻²²

Neighbours on the map

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