Atlas449 of 3,942

I.A.49

From Li, Jing & Liao (2018)

I.A.49 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 61.065 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 unstable (largest Floquet multiplier 173.9), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000245 of each other at a top speed of 63.9, line up 82 times a period, and the computed loop closes to 3.5×10⁻²⁴.

Measured over one period

Period: 61.06514891
Masses: 1 : 1 : 1
Energy: -1.56255
Angular momentum: 0
Closest approach: 2.5×10⁻⁴
Top speed: 63.93
Path length: 148.85
Alignments per period: 82
Topology: ababABababABAbabaBABAbabABABabABABabaBABAbabaBAB (free-group class)
Stability: unstable (|λ|max 173.9)
Loop closure: 3.5×10⁻²⁴

Neighbours on the map

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