Atlas1,825 of 3,915

II.C.103

m₃ = 0.75

From Li & Liao (2017)

II.C.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 103.3 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 30.17), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000885 of each other at a top speed of 35.9, line up 146 times a period, and the computed loop closes to 3.0×10⁻²⁵.

Measured over one period

Period: 103.3021223
Masses: 1 : 1 : 0.75
Energy: -1.37411
Angular momentum: 0
Closest approach: 8.9×10⁻⁴
Top speed: 35.89
Path length: 268.19
Alignments per period: 146
Stability: unstable (|λ|max 30.17)
Loop closure: 3.0×10⁻²⁵

Neighbours on the map

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