Atlas319 of 3,942

I.A.60

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.60 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 100.04 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 0.00000728 of each other at a top speed of 396, line up 182 times a period, and the computed loop closes to 2.1×10⁻²⁰.

Measured over one period

Period: 100.0379934
Masses: 1 : 1 : 0.75
Energy: -1.55579
Angular momentum: 0
Closest approach: 7.3×10⁻⁶
Top speed: 396.1
Path length: 236.38
Alignments per period: 182
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.1×10⁻²⁰

Neighbours on the map

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