Atlas732 of 3,915

I.A.21

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.21 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 67.658 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 unstable (largest Floquet multiplier 23.58), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0046 of each other at a top speed of 15.8, line up 74 times a period, and the computed loop closes to 6.3×10⁻²⁵.

Measured over one period

Period: 67.65790198
Masses: 1 : 1 : 0.75
Energy: -1.16214
Angular momentum: 0
Closest approach: 0.004595
Top speed: 15.75
Path length: 161.80
Alignments per period: 74
Stability: unstable (|λ|max 23.58)
Loop closure: 6.3×10⁻²⁵

Neighbours on the map

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