Atlas1,190 of 3,942

I.B.44

m₃ = 0.5

From Li & Liao (2017)

I.B.44 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 50.218 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.364), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00175 of each other at a top speed of 27.6, line up 104 times a period, and the computed loop closes to 2.8×10⁻²⁵.

Measured over one period

Period: 50.21798961
Masses: 1 : 1 : 0.5
Energy: -1.35699
Angular momentum: 0
Closest approach: 0.001750
Top speed: 27.58
Path length: 133.57
Alignments per period: 104
Topology: aabAbaBABaBAbabAbabABaBABabAbaaBBaBAAbbABaaBBabAAbbAAbaBBaaBAbbAABaBB (free-group class)
Stability: weakly unstable (|λ|max 1.364)
Loop closure: 2.8×10⁻²⁵

Neighbours on the map

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