Atlas1,164 of 3,915

I.B.71

m₃ = 0.75

From Li & Liao (2017)

I.B.71 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 126.34 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.000), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000574 of each other at a top speed of 44.6, line up 176 times a period, and the computed loop closes to 9.6×10⁻²⁵.

Measured over one period

Period: 126.3377299
Masses: 1 : 1 : 0.75
Energy: -1.36458
Angular momentum: 0
Closest approach: 5.7×10⁻⁴
Top speed: 44.56
Path length: 328.38
Alignments per period: 176
Stability: weakly unstable (|λ|max 1.000)
Loop closure: 9.6×10⁻²⁵

Neighbours on the map

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