Atlas670 of 3,915

I.A.42

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.42 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 115.76 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 226.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000621 of each other at a top speed of 42.9, line up 138 times a period, and the computed loop closes to 1.5×10⁻¹³.

Measured over one period

Period: 115.7611039
Masses: 1 : 1 : 0.75
Energy: -1.22146
Angular momentum: 0
Closest approach: 6.2×10⁻⁴
Top speed: 42.90
Path length: 279.50
Alignments per period: 138
Stability: unstable (|λ|max 226.6)
Loop closure: 1.5×10⁻¹³

Neighbours on the map

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