Atlas358 of 3,915

I.A.34

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.34 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 63.242 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 0.00000524 of each other at a top speed of 504, line up 106 times a period, and the computed loop closes to 4.9×10⁻²⁰.

Measured over one period

Period: 63.24191744
Masses: 1 : 1 : 0.5
Energy: -1.14301
Angular momentum: 0
Closest approach: 5.2×10⁻⁶
Top speed: 504.2
Path length: 144.71
Alignments per period: 106
Stability: stable (|λ|max 1.000)
Loop closure: 4.9×10⁻²⁰

Neighbours on the map

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