Atlas235 of 3,915

Broucke–Boggs S36

(0.999, 0.3, 1.701)

From Broucke & Boggs (1975)

Broucke–Boggs S36 (0.999, 0.3, 1.701) is a periodic orbit of the planar three-body problem: three masses in the ratio 0.999 : 0.3 : 1.701 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 1.37 of each other at a top speed of 1.07, line up 6 times a period, and the computed loop closes to 1.4×10⁻²⁵.

Measured over one period

Period: 12.56637065
Masses: 0.999 : 0.3 : 1.701
Energy: -0.789581
Angular momentum: 0.47323
Closest approach: 1.369
Top speed: 1.072
Path length: 30.773
Alignments per period: 6
Stability: stable (|λ|max 1.000)
Loop closure: 1.4×10⁻²⁵

Neighbours on the map

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