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Free-fall F28

(1, 0.1, 0.01)

From Li & Liao (2019)

Free-fall F28 (1, 0.1, 0.01) is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 0.1 : 0.01 that return to their starting positions and velocities every 12.508 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 67896), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000016 of each other at a top speed of 297, line up 30 times a period, and the computed loop closes to 3.2×10⁻²².

Measured over one period

Period: 12.50848487
Masses: 1 : 0.1 : 0.01
Energy: -0.113003
Angular momentum: 0
Closest approach: 1.6×10⁻⁵
Top speed: 297.3
Path length: 25.296
Alignments per period: 30
Stability: unstable (|λ|max 67896)
Loop closure: 3.2×10⁻²²

Neighbours on the map

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