Atlas1,378 of 3,915

II.B.3

m₃ = 0.75

From Li, Jing & Liao (2018)

II.B.3 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 60.088 time units, published by Li, Jing & Liao (2018). Class II.B orbits, mostly long-period. It is unstable (largest Floquet multiplier 38.13), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000611 of each other at a top speed of 43.3, line up 48 times a period, and the computed loop closes to 5.7×10⁻²⁵.

Measured over one period

Period: 60.08833459
Masses: 1 : 1 : 0.75
Energy: -0.969907
Angular momentum: 0
Closest approach: 6.1×10⁻⁴
Top speed: 43.33
Path length: 136.11
Alignments per period: 48
Stability: unstable (|λ|max 38.13)
Loop closure: 5.7×10⁻²⁵

Neighbours on the map

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