Atlas438 of 3,915

I.A.60

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.60 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 64.893 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 0.0000329 of each other at a top speed of 201, line up 146 times a period, and the computed loop closes to 2.2×10⁻¹⁷.

Measured over one period

Period: 64.89300538
Masses: 1 : 1 : 0.5
Energy: -1.41440
Angular momentum: 0
Closest approach: 3.3×10⁻⁵
Top speed: 201.3
Path length: 164.46
Alignments per period: 146
Stability: stable (|λ|max 1.000)
Loop closure: 2.2×10⁻¹⁷

Neighbours on the map

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