Atlas1,884 of 3,915

II.C.24

m₃ = 0.75

From Li & Liao (2017)

II.C.24 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 34.313 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 2.544), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000102 of each other at a top speed of 106, line up 56 times a period, and the computed loop closes to 1.8×10⁻²⁴.

Measured over one period

Period: 34.31318401
Masses: 1 : 1 : 0.75
Energy: -1.51131
Angular momentum: 0
Closest approach: 1.0×10⁻⁴
Top speed: 105.7
Path length: 93.578
Alignments per period: 56
Stability: weakly unstable (|λ|max 2.544)
Loop closure: 1.8×10⁻²⁴

Neighbours on the map

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