Atlas640 of 3,915

I.A.51

m₃ = 2

From Li, Jing & Liao (2018)

I.A.51 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 174.53 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 1.444), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000104 of each other at a top speed of 16, line up 382 times a period, and the computed loop closes to 1.4×10⁻²³.

Measured over one period

Period: 174.5302500
Masses: 1 : 1 : 2
Energy: -3.46542
Angular momentum: 0
Closest approach: 1.0×10⁻⁴
Top speed: 160.2
Path length: 555.18
Alignments per period: 382
Stability: weakly unstable (|λ|max 1.444)
Loop closure: 1.4×10⁻²³

Neighbours on the map

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