Atlas1,344 of 3,915

II.A.7

m₃ = 0.5

From Li, Jing & Liao (2018)

II.A.7 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 180.68 time units, published by Li, Jing & Liao (2018). Class II.A orbits with an unequal third mass. It is unstable (largest Floquet multiplier 32.77), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000685 of each other at a top speed of 44.1, line up 270 times a period, and the computed loop closes to 4.2×10⁻²⁵.

Measured over one period

Period: 180.6781521
Masses: 1 : 1 : 0.5
Energy: -1.09943
Angular momentum: 0
Closest approach: 6.8×10⁻⁴
Top speed: 44.14
Path length: 446.24
Alignments per period: 270
Stability: unstable (|λ|max 32.77)
Loop closure: 4.2×10⁻²⁵

Neighbours on the map

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