Atlas406 of 3,942

I.A.64

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.64 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 99.878 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 1.643), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000616 of each other at a top speed of 431, line up 186 times a period, and the computed loop closes to 2.3×10⁻²⁰.

Measured over one period

Period: 99.87752812
Masses: 1 : 1 : 0.75
Energy: -1.59494
Angular momentum: 0
Closest approach: 6.2×10⁻⁶
Top speed: 430.7
Path length: 251.68
Alignments per period: 186
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 1.643)
Loop closure: 2.3×10⁻²⁰

Neighbours on the map

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