Atlas303 of 3,942

I.A.141

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.141 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 197.39 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 0.00000839 of each other at a top speed of 399, line up 314 times a period, and the computed loop closes to 1.8×10⁻¹⁶.

Measured over one period

Period: 197.3931765
Masses: 1 : 1 : 0.5
Energy: -1.11305
Angular momentum: 0
Closest approach: 8.4×10⁻⁶
Top speed: 398.7
Path length: 461.02
Alignments per period: 314
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.8×10⁻¹⁶

Neighbours on the map

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