Atlas638 of 3,942

I.A.15

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.15 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 29.021 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 41.33), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00212 of each other at a top speed of 25, line up 58 times a period, and the computed loop closes to 4.4×10⁻²⁶.

Measured over one period

Period: 29.02146701
Masses: 1 : 1 : 0.5
Energy: -1.34449
Angular momentum: 0
Closest approach: 0.002120
Top speed: 25.00
Path length: 77.651
Alignments per period: 58
Topology: aabAbaBAAbbAbaaBAbbAABaBAbaaBBaBAAbaBB (free-group class)
Stability: unstable (|λ|max 41.33)
Loop closure: 4.4×10⁻²⁶

Neighbours on the map

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