Atlas949 of 3,915

I.B.114

m₃ = 0.75

From Li & Liao (2017)

I.B.114 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 152.17 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 126.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000337 of each other at a top speed of 58.1, line up 316 times a period, and the computed loop closes to 1.5×10⁻²⁴.

Measured over one period

Period: 152.1697589
Masses: 1 : 1 : 0.75
Energy: -1.71425
Angular momentum: 0
Closest approach: 3.4×10⁻⁴
Top speed: 58.15
Path length: 385.09
Alignments per period: 316
Stability: unstable (|λ|max 126.5)
Loop closure: 1.5×10⁻²⁴

Neighbours on the map

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