Lunar + Solar • umbra/penumbra • types • simple geometry
Result:—
Alignment + Shadows
Not to scale • interactive
Sun
Earth
Moon
Umbra
Penumbra
Help: how to use this
Pick Solar or Lunar on the top right.
Use Offset to move the Moon up/down from perfect
alignment (the “eclipse line”).
Change Moon distance to see why some solar eclipses
are total vs annular.
Use Space to play/pause,
R to reset,
←/→ to
step.
Controls
Try small offsets first
-160+160
NearFar
PauseFast
What this sim checks: it draws umbra/penumbra as cones from
the “occluder” (Moon for solar, Earth for lunar), then tests
whether the “target” (Earth for solar, Moon for lunar) intersects
the umbra or penumbra near the target plane.