Atlas1,058 of 3,942

I.B.3

m₃ = 5

From Li & Liao (2017)

I.B.3 m₃ = 5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 5 that return to their starting positions and velocities every 71.264 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.237), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000754 of each other at a top speed of 333, line up 236 times a period, and the computed loop closes to 2.9×10⁻²³.

Measured over one period

Period: 71.26414283
Masses: 1 : 1 : 5
Energy: -8.56346
Angular momentum: 0
Closest approach: 7.5×10⁻⁵
Top speed: 332.6
Path length: 315.49
Alignments per period: 236
Topology: ababababababababABABABABABABABababababababababABABABABABABABAbabababababababaBABABABABABABAbabababababababaBABABABABABABAB (free-group class)
Stability: weakly unstable (|λ|max 1.237)
Loop closure: 2.9×10⁻²³

Neighbours on the map

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