Atlas1,607 of 3,915

II.C.34

m₃ = 0.75

From Li & Liao (2017)

II.C.34 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 54.802 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 64526), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000327 of each other at a top speed of 59.2, line up 54 times a period, and the computed loop closes to 4.7×10⁻²⁴.

Measured over one period

Period: 54.80166644
Masses: 1 : 1 : 0.75
Energy: -1.12748
Angular momentum: 0
Closest approach: 3.3×10⁻⁴
Top speed: 59.16
Path length: 132.60
Alignments per period: 54
Stability: unstable (|λ|max 64526)
Loop closure: 4.7×10⁻²⁴

Neighbours on the map

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