Atlas394 of 3,915

I.A.3

m₃ = 10

From Li, Jing & Liao (2018)

I.A.3 m₃ = 10 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 10 that return to their starting positions and velocities every 119.5 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 weakly unstable (largest Floquet multiplier 1.363), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000492 of each other at a top speed of 1922, line up 662 times a period, and the computed loop closes to 9.1×10⁻¹⁹.

Measured over one period

Period: 119.5012751
Masses: 1 : 1 : 10
Energy: -19.3383
Angular momentum: 0
Closest approach: 4.9×10⁻⁶
Top speed: 1922
Path length: 704.12
Alignments per period: 662
Stability: weakly unstable (|λ|max 1.363)
Loop closure: 9.1×10⁻¹⁹

Neighbours on the map

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