Atlas1,339 of 3,915

II.A.2

m₃ = 4

From Li, Jing & Liao (2018)

II.A.2 m₃ = 4 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 4 that return to their starting positions and velocities every 118.02 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 0.000348 of each other at a top speed of 136, line up 282 times a period, and the computed loop closes to 9.8×10⁻²⁵.

Measured over one period

Period: 118.0177935
Masses: 1 : 1 : 4
Energy: -5.92881
Angular momentum: 0
Closest approach: 3.5×10⁻⁴
Top speed: 135.7
Path length: 472.82
Alignments per period: 282
Stability: stable (|λ|max 1.000)
Loop closure: 9.8×10⁻²⁵

Neighbours on the map

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