Atlas984 of 3,942

I.B.126

m₃ = 0.5

From Li & Liao (2017)

I.B.126 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 163.44 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.002), so a small nudge only makes it wobble. The bodies pass within 0.000647 of each other at a top speed of 45.4, line up 244 times a period, and the computed loop closes to 7.5×10⁻¹⁸.

Measured over one period

Period: 163.4425288
Masses: 1 : 1 : 0.5
Energy: -1.08163
Angular momentum: 0
Closest approach: 6.5×10⁻⁴
Top speed: 45.40
Path length: 390.23
Alignments per period: 244
Topology: abaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabAB (free-group class)
Stability: stable (|λ|max 1.002)
Loop closure: 7.5×10⁻¹⁸

Neighbours on the map

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