Atlas239 of 3,942

Broucke–Boggs S32

(0.495, 0.3, 2.205)

From Broucke & Boggs (1975)

Broucke–Boggs S32 (0.495, 0.3, 2.205) is a periodic orbit of the planar three-body problem: three masses in the ratio 0.495 : 0.3 : 2.205 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 1.23 of each other at a top speed of 1.3, line up 6 times a period, and the computed loop closes to 2.6×10⁻²⁵.

Measured over one period

Period: 12.56637065
Masses: 0.495 : 0.3 : 2.205
Energy: -0.570531
Angular momentum: 0.048092
Closest approach: 1.231
Top speed: 1.300
Path length: 30.759
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: 2.6×10⁻²⁵

Neighbours on the map

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