Atlas1,823 of 3,915

II.C.101

m₃ = 0.75

From Li & Liao (2017)

II.C.101 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 171.6 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 117.9), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000404 of each other at a top speed of 53.2, line up 126 times a period, and the computed loop closes to 1.8×10⁻²⁵.

Measured over one period

Period: 171.6008979
Masses: 1 : 1 : 0.75
Energy: -0.926770
Angular momentum: 0
Closest approach: 4.0×10⁻⁴
Top speed: 53.19
Path length: 370.57
Alignments per period: 126
Stability: unstable (|λ|max 117.9)
Loop closure: 1.8×10⁻²⁵

Neighbours on the map

All II.C orbits, the families of periodic three-body orbits, or the atlas map.