# Planet spacing and assembly feasibility
# Scope: Equal planet spacing: assembly phase integer and pitch-circle clearance.
# Status: illustrative worked example; engineering review pending.
# Inputs are example values. Checks are editable example requirements, not standards.

sun = 20
ring = 60
planets = 4
module = 2 mm

planet := (ring-sun)/2
phase := (sun+ring)/planets
centers := module*(sun+planet)*sin(pi/planets) [mm]
planetOutside := module*(planet+2) [mm]

check planet clearance: centers >= planetOutside

scenario alternative: sun = 16


# Diagram dimensions are illustrative; teeth are schematic, not manufacturing profiles.
check assembly phase integer: abs(phase-round(phase)) <= 0
check whole sun: abs(sun-round(sun)) <= 0
check positive sun: sun >= 3
check whole ring: abs(ring-round(ring)) <= 0
check positive ring: ring >= 3
check whole planet: abs(planet-round(planet)) <= 0
check positive planet: planet >= 3
check whole planets: abs(planets-round(planets)) <= 0
check positive planets: planets >= 1