Atlas828 of 3,942

I.B.118

m₃ = 0.75

From Li & Liao (2017)

I.B.118 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 184.87 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.002), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000483 of each other at a top speed of 486, line up 400 times a period, and the computed loop closes to 9.9×10⁻²¹.

Measured over one period

Period: 184.8709866
Masses: 1 : 1 : 0.75
Energy: -1.74954
Angular momentum: 0
Closest approach: 4.8×10⁻⁶
Top speed: 486.3
Path length: 463.62
Alignments per period: 400
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 1.002)
Loop closure: 9.9×10⁻²¹

Neighbours on the map

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