Atlas571 of 3,915

I.A.93

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.93 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 154.65 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 5.402), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000468 of each other at a top speed of 53.4, line up 194 times a period, and the computed loop closes to 1.7×10⁻²⁴.

Measured over one period

Period: 154.6502149
Masses: 1 : 1 : 0.5
Energy: -0.977463
Angular momentum: 0
Closest approach: 4.7×10⁻⁴
Top speed: 53.39
Path length: 359.75
Alignments per period: 194
Stability: weakly unstable (|λ|max 5.402)
Loop closure: 1.7×10⁻²⁴

Neighbours on the map

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