Atlas241 of 3,942

Broucke–Boggs S25

(0.225, 0.03, 2.745)

From Broucke & Boggs (1975)

Broucke–Boggs S25 (0.225, 0.03, 2.745) is a periodic orbit of the planar three-body problem: three masses in the ratio 0.225 : 0.03 : 2.745 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 of each other at a top speed of 1.35, line up 6 times a period, and the computed loop closes to 3.0×10⁻²⁵.

Measured over one period

Period: 12.56637055
Masses: 0.225 : 0.03 : 2.745
Energy: -0.234403
Angular momentum: 0.34989
Closest approach: 1.000
Top speed: 1.348
Path length: 32.429
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: 3.0×10⁻²⁵

Neighbours on the map

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