Atlas216 of 3,942

Broucke A14

From Broucke (1975)

Broucke A14 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 54.231 time units, published by Broucke (1975). Broucke’s 1975 retrograde family: a binary and a third body circling it, the binary turning one way and the third body’s orbit the other; several are linearly stable. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 1.44 of each other at a top speed of 0.937, line up 14 times a period, and the computed loop closes to 1.3×10⁻²⁹.

Measured over one period

Period: 54.23081268
Masses: 1 : 1 : 1
Energy: -0.625806
Angular momentum: 0.94745
Closest approach: 1.442
Top speed: 0.9372
Path length: 96.806
Alignments per period: 14
Topology: a (free-group class, read from the drawing, shape period T/7)
Stability: stable (|λ|max 1.000)
Loop closure: 1.3×10⁻²⁹

Neighbours on the map

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