Atlas807 of 3,915

I.B.21

m₃ = 0.75

From Li & Liao (2017)

I.B.21 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 46.991 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000853 of each other at a top speed of 116, line up 84 times a period, and the computed loop closes to 5.2×10⁻²⁴.

Measured over one period

Period: 46.99115273
Masses: 1 : 1 : 0.75
Energy: -1.54074
Angular momentum: 0
Closest approach: 8.5×10⁻⁵
Top speed: 115.8
Path length: 112.16
Alignments per period: 84
Stability: stable (|λ|max 1.000)
Loop closure: 5.2×10⁻²⁴

Neighbours on the map

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