Atlas660 of 3,915

I.A.51

From Li, Jing & Liao (2018)

I.A.51 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 61.698 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 43.82), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000158 of each other at a top speed of 79.7, line up 98 times a period, and the computed loop closes to 2.0×10⁻²⁴.

Measured over one period

Period: 61.69808049
Masses: 1 : 1 : 1
Energy: -1.78183
Angular momentum: 0
Closest approach: 1.6×10⁻⁴
Top speed: 79.68
Path length: 172.43
Alignments per period: 98
Stability: unstable (|λ|max 43.82)
Loop closure: 2.0×10⁻²⁴

Neighbours on the map

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