Atlas2,228 of 3,942

Free-fall F32

(1, 0.8, 0.2)

From Li & Liao (2019)

Free-fall F32 (1, 0.8, 0.2) is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 0.8 : 0.2 that return to their starting positions and velocities every 3.1849 time units, published by Li & Liao (2019). Three bodies released from rest fall together, swing past each other and return to rest exactly where they started. It is unstable (largest Floquet multiplier 1235), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000142 of each other at a top speed of 956, line up 44 times a period, and the computed loop closes to 7.6×10⁻²⁰.

Measured over one period

Period: 3.184904453
Masses: 1 : 0.8 : 0.2
Energy: -1.95498
Angular momentum: 0
Closest approach: 1.4×10⁻⁶
Top speed: 955.6
Path length: 11.419
Alignments per period: 44
Topology: 0 (free-group class)
Stability: unstable (|λ|max 1235)
Loop closure: 7.6×10⁻²⁰

Neighbours on the map

All Free-fall orbits, the families of periodic three-body orbits, or the atlas map.