Atlas585 of 3,915

I.A.88

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.88 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 151.05 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 1.013), so a small nudge only makes it wobble. The bodies pass within 0.000292 of each other at a top speed of 67.5, line up 186 times a period, and the computed loop closes to 8.4×10⁻²⁵.

Measured over one period

Period: 151.0499247
Masses: 1 : 1 : 0.5
Energy: -0.971838
Angular momentum: 0
Closest approach: 2.9×10⁻⁴
Top speed: 67.55
Path length: 353.82
Alignments per period: 186
Stability: stable (|λ|max 1.013)
Loop closure: 8.4×10⁻²⁵

Neighbours on the map

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