Atlas725 of 3,915

I.A.16

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.16 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 82.137 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 11.32), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0158 of each other at a top speed of 8.47, line up 62 times a period, and the computed loop closes to 1.3×10⁻²⁶.

Measured over one period

Period: 82.13669608
Masses: 1 : 1 : 0.75
Energy: -0.934350
Angular momentum: 0
Closest approach: 0.01582
Top speed: 8.470
Path length: 183.33
Alignments per period: 62
Stability: unstable (|λ|max 11.32)
Loop closure: 1.3×10⁻²⁶

Neighbours on the map

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