Atlas1,132 of 3,942

I.B.28

m₃ = 0.5

From Li & Liao (2017)

I.B.28 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 68.914 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 2.949), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00186 of each other at a top speed of 26.8, line up 84 times a period, and the computed loop closes to 5.2×10⁻²⁵.

Measured over one period

Period: 68.91357734
Masses: 1 : 1 : 0.5
Energy: -0.967122
Angular momentum: 0
Closest approach: 0.001860
Top speed: 26.76
Path length: 161.46
Alignments per period: 84
Topology: aaBAbaBAbabABabABaaBAbaBAbaBABabABabAAbaBAbaBABabABabAB (free-group class)
Stability: weakly unstable (|λ|max 2.949)
Loop closure: 5.2×10⁻²⁵

Neighbours on the map

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