Atlas939 of 3,942

I.B.54

m₃ = 0.5

From Li & Liao (2017)

I.B.54 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 79.411 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 13.02), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000465 of each other at a top speed of 53.5, line up 124 times a period, and the computed loop closes to 1.5×10⁻²⁴.

Measured over one period

Period: 79.41137855
Masses: 1 : 1 : 0.5
Energy: -1.11177
Angular momentum: 0
Closest approach: 4.6×10⁻⁴
Top speed: 53.54
Path length: 190.88
Alignments per period: 124
Topology: abaBabaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbabAbabABabABabABabABabABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 13.02)
Loop closure: 1.5×10⁻²⁴

Neighbours on the map

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