Moon Phases: Light, Not Shadow

View from Above (North Pole)
Sunlight -> from the Sun Earth Your view
Drag the Moon around Earth's orbit
As Seen from Earth
Waxing
Schematic (not to scale).
WAXING Day 0 of 29.5
Phase Full Moon
Angle 0deg
Illuminated 100%
Days since new 14.8d
Illumination model $f = (1 + \cos\alpha)/2 =$ 1.000
  • Observable: the lit fraction grows or shrinks as the Moon moves.
  • Model: illumination depends on the Sun-Earth-Moon phase angle $\alpha$.
  • Inference: phases are geometry, not Earth's shadow.