Atlas554 of 3,915

I.A.4

m₃ = 5

From Li, Jing & Liao (2018)

I.A.4 m₃ = 5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 5 that return to their starting positions and velocities every 160.31 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 1.006), so a small nudge only makes it wobble. The bodies pass within 0.0000328 of each other at a top speed of 505, line up 534 times a period, and the computed loop closes to 2.9×10⁻¹⁶.

Measured over one period

Period: 160.3140070
Masses: 1 : 1 : 5
Energy: -8.59602
Angular momentum: 0
Closest approach: 3.3×10⁻⁵
Top speed: 504.5
Path length: 708.09
Alignments per period: 534
Stability: stable (|λ|max 1.006)
Loop closure: 2.9×10⁻¹⁶

Neighbours on the map

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