Atlas1,024 of 3,915

I.B.79

m₃ = 0.75

From Li & Liao (2017)

I.B.79 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 127.41 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 49.31), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000523 of each other at a top speed of 46.7, line up 204 times a period, and the computed loop closes to 5.4×10⁻²⁵.

Measured over one period

Period: 127.4112970
Masses: 1 : 1 : 0.75
Energy: -1.46328
Angular momentum: 0
Closest approach: 5.2×10⁻⁴
Top speed: 46.72
Path length: 323.97
Alignments per period: 204
Stability: unstable (|λ|max 49.31)
Loop closure: 5.4×10⁻²⁵

Neighbours on the map

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