Atlas279 of 3,915

I.A.19

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.19 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 62.498 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 7.737), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000182 of each other at a top speed of 251, line up 74 times a period, and the computed loop closes to 1.2×10⁻²¹.

Measured over one period

Period: 62.49838138
Masses: 1 : 1 : 0.75
Energy: -1.17061
Angular momentum: 0
Closest approach: 1.8×10⁻⁵
Top speed: 250.6
Path length: 125.92
Alignments per period: 74
Stability: weakly unstable (|λ|max 7.737)
Loop closure: 1.2×10⁻²¹

Neighbours on the map

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