Atlas469 of 3,915

I.A.40

m₃ = 2

From Li, Jing & Liao (2018)

I.A.40 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 131.31 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 1.001), so a small nudge only makes it wobble. The bodies pass within 0.0000119 of each other at a top speed of 473, line up 326 times a period, and the computed loop closes to 1.0×10⁻²¹.

Measured over one period

Period: 131.3126893
Masses: 1 : 1 : 2
Energy: -3.75199
Angular momentum: 0
Closest approach: 1.2×10⁻⁵
Top speed: 473.0
Path length: 413.23
Alignments per period: 326
Stability: stable (|λ|max 1.001)
Loop closure: 1.0×10⁻²¹

Neighbours on the map

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