Atlas3,841 of 3,915

Bestiary t0(2,72)

From Rose (2016)

Bestiary t0(2,72) is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 73.846 time units, published by Rose (2016). Orbits from Rose’s survey of the symmetry-reduced problem, which reaches parts of phase space the other searches do not. It is unstable (largest Floquet multiplier 17.21), so a small nudge makes it unravel over a few periods. The bodies pass within 0.356 of each other at a top speed of 1.81, line up 48 times a period, and the computed loop closes to 9.6×10⁻²⁸.

Measured over one period

Period: 73.84618809
Masses: 1 : 1 : 1
Energy: -1.00000
Angular momentum: 0
Closest approach: 0.3557
Top speed: 1.807
Path length: 166.20
Alignments per period: 48
Stability: unstable (|λ|max 17.21)
Loop closure: 9.6×10⁻²⁸

Neighbours on the map

All Rose’s Bestiary, the families of periodic three-body orbits, or the atlas map.