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Free-fall F34

(1, 0.1, 0.01)

From Li & Liao (2019)

Free-fall F34 (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 8.7976 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 93807), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000705 of each other at a top speed of 108, line up 32 times a period, and the computed loop closes to 3.0×10⁻²².

Measured over one period

Period: 8.797605901
Masses: 1 : 0.1 : 0.01
Energy: -0.115266
Angular momentum: 0
Closest approach: 7.1×10⁻⁵
Top speed: 108.3
Path length: 20.823
Alignments per period: 32
Stability: unstable (|λ|max 93807)
Loop closure: 3.0×10⁻²²

Neighbours on the map

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