Atlas240 of 3,915

Broucke–Boggs S27

(0.3, 0.075, 2.625)

From Broucke & Boggs (1975)

Broucke–Boggs S27 (0.3, 0.075, 2.625) is a periodic orbit of the planar three-body problem: three masses in the ratio 0.3 : 0.075 : 2.625 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 1.06 of each other at a top speed of 1.33, line up 6 times a period, and the computed loop closes to 8.0×10⁻²⁶.

Measured over one period

Period: 12.56637061
Masses: 0.3 : 0.075 : 2.625
Energy: -0.323565
Angular momentum: 0.35316
Closest approach: 1.058
Top speed: 1.330
Path length: 32.149
Alignments per period: 6
Stability: stable (|λ|max 1.000)
Loop closure: 8.0×10⁻²⁶

Neighbours on the map

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