Atlas684 of 3,942

I.A.28

m₃ = 4

From Li, Jing & Liao (2018)

I.A.28 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 198.41 time units, published by Li, Jing & Liao (2018). Class I.A orbits found with Liao’s clean numerical simulation method, for a third body of varying mass. It is weakly unstable (largest Floquet multiplier 1.000), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000023 of each other at a top speed of 528, line up 474 times a period, and the computed loop closes to 6.1×10⁻²².

Measured over one period

Period: 198.4147566
Masses: 1 : 1 : 4
Energy: -5.92068
Angular momentum: 0
Closest approach: 2.3×10⁻⁵
Top speed: 527.5
Path length: 776.24
Alignments per period: 474
Topology: ababababababABABABABABAbabababababABABABABABAbabababababaBABABABABABabababababaBABABABABABababababababABABABABABAbabababababABABABABABABabababababaBABABABABABabababababaBABABABABABAbabababababABABABABABAbabababababABABABABABABabababababaBABABABABAB (free-group class)
Stability: weakly unstable (|λ|max 1.000)
Loop closure: 6.1×10⁻²²

Neighbours on the map

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