Atlas2,312 of 3,942

Free-fall F10

(1, 0.412, 0.267)

From Li & Liao (2019)

Free-fall F10 (1, 0.412, 0.267) is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 0.412 : 0.267 that return to their starting positions and velocities every 2.5902 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 1185), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000516 of each other at a top speed of 311, line up 28 times a period, and the computed loop closes to 3.5×10⁻²⁰.

Measured over one period

Period: 2.590180556
Masses: 1 : 0.412 : 0.267
Energy: -1.38330
Angular momentum: 0
Closest approach: 5.2×10⁻⁶
Top speed: 311.1
Path length: 8.2028
Alignments per period: 28
Topology: 0 (free-group class)
Stability: unstable (|λ|max 1185)
Loop closure: 3.5×10⁻²⁰

Neighbours on the map

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