Atlas665 of 3,915

I.A.46

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.46 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 115.67 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 141), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000484 of each other at a top speed of 48.6, line up 146 times a period, and the computed loop closes to 9.5×10⁻²⁵.

Measured over one period

Period: 115.6749863
Masses: 1 : 1 : 0.75
Energy: -1.26166
Angular momentum: 0
Closest approach: 4.8×10⁻⁴
Top speed: 48.61
Path length: 280.52
Alignments per period: 146
Stability: unstable (|λ|max 141.0)
Loop closure: 9.5×10⁻²⁵

Neighbours on the map

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