Atlas214 of 3,942

Broucke A11

From Broucke (1975)

Broucke A11 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 32.585 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 1.4 of each other at a top speed of 1.05, line up 14 times a period, and the computed loop closes to 5.8×10⁻²⁶.

Measured over one period

Period: 32.58494539
Masses: 1 : 1 : 1
Energy: -0.824051
Angular momentum: 0.92254
Closest approach: 1.402
Top speed: 1.054
Path length: 68.393
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: 5.8×10⁻²⁶

Neighbours on the map

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