Atlas889 of 3,915

I.B.103

m₃ = 0.75

From Li & Liao (2017)

I.B.103 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 140.45 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.066), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00016 of each other at a top speed of 84.6, line up 276 times a period, and the computed loop closes to 1.2×10⁻²³.

Measured over one period

Period: 140.4484779
Masses: 1 : 1 : 0.75
Energy: -1.65204
Angular momentum: 0
Closest approach: 1.6×10⁻⁴
Top speed: 84.57
Path length: 357.27
Alignments per period: 276
Stability: weakly unstable (|λ|max 1.066)
Loop closure: 1.2×10⁻²³

Neighbours on the map

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