Atlas521 of 3,915

I.A.20

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.20 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 34.875 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 17.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000315 of each other at a top speed of 60.4, line up 78 times a period, and the computed loop closes to 1.2×10⁻²⁴.

Measured over one period

Period: 34.87545225
Masses: 1 : 1 : 0.75
Energy: -1.82541
Angular momentum: 0
Closest approach: 3.1×10⁻⁴
Top speed: 60.37
Path length: 94.149
Alignments per period: 78
Stability: unstable (|λ|max 17.60)
Loop closure: 1.2×10⁻²⁴

Neighbours on the map

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