Atlas1,333 of 3,915

II.A.1

m₃ = 0.75

From Li, Jing & Liao (2018)

II.A.1 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 35.778 time units, published by Li, Jing & Liao (2018). Class II.A orbits with an unequal third mass. It is unstable (largest Floquet multiplier 594.2), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000249 of each other at a top speed of 67.6, line up 46 times a period, and the computed loop closes to 2.0×10⁻²³.

Measured over one period

Period: 35.77825219
Masses: 1 : 1 : 0.75
Energy: -1.35929
Angular momentum: 0
Closest approach: 2.5×10⁻⁴
Top speed: 67.64
Path length: 89.954
Alignments per period: 46
Stability: unstable (|λ|max 594.2)
Loop closure: 2.0×10⁻²³

Neighbours on the map

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