Atlas1,327 of 3,915

II.A.2

m₃ = 2

From Li, Jing & Liao (2018)

II.A.2 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 85.736 time units, published by Li, Jing & Liao (2018). Class II.A orbits with an unequal third mass. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000114 of each other at a top speed of 484, line up 178 times a period, and the computed loop closes to 6.5×10⁻²².

Measured over one period

Period: 85.73645184
Masses: 1 : 1 : 2
Energy: -3.32827
Angular momentum: 0
Closest approach: 1.1×10⁻⁵
Top speed: 483.8
Path length: 252.08
Alignments per period: 178
Stability: stable (|λ|max 1.000)
Loop closure: 6.5×10⁻²²

Neighbours on the map

All II.A orbits, the families of periodic three-body orbits, or the atlas map.