Atlas251 of 3,942

Broucke–Boggs S3

(0.03, 0.03, 2.94)

From Broucke & Boggs (1975)

Broucke–Boggs S3 (0.03, 0.03, 2.94) is a periodic orbit of the planar three-body problem: three masses in the ratio 0.03 : 0.03 : 2.94 that return to their starting positions and velocities every 6.1017 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 1.012), so a small nudge only makes it wobble. The bodies pass within 0.126 of each other at a top speed of 1.55, line up 4 times a period, and the computed loop closes to 1.1×10⁻³⁰.

Measured over one period

Period: 6.101742083
Masses: 0.03 : 0.03 : 2.94
Energy: -0.0629082
Angular momentum: -0.0028875
Closest approach: 0.1259
Top speed: 1.550
Path length: 17.692
Alignments per period: 4
Topology: unresolved (close passages hide the crossings in the drawing)
Stability: stable (|λ|max 1.012)
Loop closure: 1.1×10⁻³⁰

Neighbours on the map

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