Atlas527 of 3,915

I.A.24

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.24 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 55.667 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 1.026), so a small nudge only makes it wobble. The bodies pass within 0.000139 of each other at a top speed of 90.8, line up 90 times a period, and the computed loop closes to 2.2×10⁻²⁴.

Measured over one period

Period: 55.66673248
Masses: 1 : 1 : 0.75
Energy: -1.47851
Angular momentum: 0
Closest approach: 1.4×10⁻⁴
Top speed: 90.82
Path length: 143.50
Alignments per period: 90
Stability: stable (|λ|max 1.026)
Loop closure: 2.2×10⁻²⁴

Neighbours on the map

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