Atlas987 of 3,942

I.B.139

m₃ = 0.5

From Li & Liao (2017)

I.B.139 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 182.96 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 67.73), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000783 of each other at a top speed of 41.3, line up 280 times a period, and the computed loop closes to 9.2×10⁻²⁵.

Measured over one period

Period: 182.9605969
Masses: 1 : 1 : 0.5
Energy: -1.10003
Angular momentum: 0
Closest approach: 7.8×10⁻⁴
Top speed: 41.27
Path length: 440.79
Alignments per period: 280
Topology: abaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 67.73)
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.