Atlas631 of 3,915

I.A.40

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.40 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 105.14 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 unstable (largest Floquet multiplier 142.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00151 of each other at a top speed of 27.5, line up 134 times a period, and the computed loop closes to 1.1×10⁻²⁵.

Measured over one period

Period: 105.1410527
Masses: 1 : 1 : 0.75
Energy: -1.26658
Angular momentum: 0
Closest approach: 0.001509
Top speed: 27.50
Path length: 254.20
Alignments per period: 134
Stability: unstable (|λ|max 142.6)
Loop closure: 1.1×10⁻²⁵

Neighbours on the map

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