Atlas1,152 of 3,942

I.B.17

m₃ = 4

From Li & Liao (2017)

I.B.17 m₃ = 4 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 4 that return to their starting positions and velocities every 143.78 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000407 of each other at a top speed of 397, line up 348 times a period, and the computed loop closes to 5.5×10⁻²³.

Measured over one period

Period: 143.7791553
Masses: 1 : 1 : 4
Energy: -5.97143
Angular momentum: 0
Closest approach: 4.1×10⁻⁵
Top speed: 396.6
Path length: 562.80
Alignments per period: 348
Topology: ababababababABABABABABAbabababababaBABABABABABabababababaBABABABABABAbabababababABABABABABAbabababababaBABABABABABababababababABABABABABAbabababababABABABABABABabababababaBABABABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 5.5×10⁻²³

Neighbours on the map

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