Atlas1,039 of 3,915

I.B.57

m₃ = 0.75

From Li & Liao (2017)

I.B.57 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 102.57 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 56.35), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000986 of each other at a top speed of 34.1, line up 164 times a period, and the computed loop closes to 5.0×10⁻²⁵.

Measured over one period

Period: 102.5698867
Masses: 1 : 1 : 0.75
Energy: -1.46730
Angular momentum: 0
Closest approach: 9.9×10⁻⁴
Top speed: 34.07
Path length: 263.70
Alignments per period: 164
Stability: unstable (|λ|max 56.35)
Loop closure: 5.0×10⁻²⁵

Neighbours on the map

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