Atlas411 of 3,915

I.A.76

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.76 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 134.14 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 linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000517 of each other at a top speed of 149, line up 218 times a period, and the computed loop closes to 1.5×10⁻¹⁶.

Measured over one period

Period: 134.1447276
Masses: 1 : 1 : 0.75
Energy: -1.46135
Angular momentum: 0
Closest approach: 5.2×10⁻⁵
Top speed: 148.7
Path length: 328.79
Alignments per period: 218
Stability: stable (|λ|max 1.000)
Loop closure: 1.5×10⁻¹⁶

Neighbours on the map

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