Atlas248 of 3,942

Broucke–Boggs S29

(0.3, 0.225, 2.475)

From Broucke & Boggs (1975)

Broucke–Boggs S29 (0.3, 0.225, 2.475) is a periodic orbit of the planar three-body problem: three masses in the ratio 0.3 : 0.225 : 2.475 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 1.1 of each other at a top speed of 1.39, line up 6 times a period, and the computed loop closes to 4.9×10⁻²⁵.

Measured over one period

Period: 12.56637060
Masses: 0.3 : 0.225 : 2.475
Energy: -0.401464
Angular momentum: -0.032787
Closest approach: 1.104
Top speed: 1.387
Path length: 31.215
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: 4.9×10⁻²⁵

Neighbours on the map

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