Atlas678 of 3,915

I.A.2

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.2 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 25.046 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 18.55), so a small nudge makes it unravel over a few periods. The bodies pass within 0.31 of each other at a top speed of 2.12, line up 10 times a period, and the computed loop closes to 2.3×10⁻²⁹.

Measured over one period

Period: 25.04603824
Masses: 1 : 1 : 0.75
Energy: -0.616178
Angular momentum: 0
Closest approach: 0.3101
Top speed: 2.123
Path length: 45.286
Alignments per period: 10
Stability: unstable (|λ|max 18.55)
Loop closure: 2.3×10⁻²⁹

Neighbours on the map

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