Atlas250 of 3,942

Broucke–Boggs S20

(0.03, 0.03, 2.94)

From Broucke & Boggs (1975)

Broucke–Boggs S20 (0.03, 0.03, 2.94) is a periodic orbit of the planar three-body problem: three masses in the ratio 0.03 : 0.03 : 2.94 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 0.88 of each other at a top speed of 1.45, line up 6 times a period, and the computed loop closes to 2.9×10⁻²⁵.

Measured over one period

Period: 12.56637059
Masses: 0.03 : 0.03 : 2.94
Energy: -0.0501552
Angular momentum: -0.016796
Closest approach: 0.8797
Top speed: 1.445
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: 2.9×10⁻²⁵

Neighbours on the map

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