Atlas249 of 3,942

Broucke–Boggs S22

(0.045, 0.03, 2.925)

From Broucke & Boggs (1975)

Broucke–Boggs S22 (0.045, 0.03, 2.925) is a periodic orbit of the planar three-body problem: three masses in the ratio 0.045 : 0.03 : 2.925 that return to their starting positions and velocities every 12.566 time units, published by Broucke & Boggs (1975). Broucke and Boggs’s 1975 survey of periodic orbits at many mass ratios, most of them reported linearly stable. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.889 of each other at a top speed of 1.44, line up 6 times a period, and the computed loop closes to 5.5×10⁻²⁵.

Measured over one period

Period: 12.56637106
Masses: 0.045 : 0.03 : 2.925
Energy: -0.0652682
Angular momentum: 0.013263
Closest approach: 0.8895
Top speed: 1.438
Path length: 32.343
Alignments per period: 6
Topology: a (free-group class, read from the drawing, shape period T/3)
Stability: stable (|λ|max 1.000)
Loop closure: 5.5×10⁻²⁵

Neighbours on the map

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