Atlas350 of 3,915

I.A.69

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.69 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 96.944 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 linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00000396 of each other at a top speed of 58, line up 162 times a period, and the computed loop closes to 1.3×10⁻¹⁷.

Measured over one period

Period: 96.94362567
Masses: 1 : 1 : 0.5
Energy: -1.14127
Angular momentum: 0
Closest approach: 4.0×10⁻⁶
Top speed: 580.0
Path length: 222.27
Alignments per period: 162
Stability: stable (|λ|max 1.000)
Loop closure: 1.3×10⁻¹⁷

Neighbours on the map

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