ASTRONOMY SIM

Eclipse Geometry Laboratory

Explore light cone optics, lunar orbital tilt, and total vs. annular shadow geometries
Eclipse Scenarios:
Solar Eclipse Ray Optics & Shadow Geometry
Syzygy Alignment: 99.8%
Sun (Light Source)
Earth (Observer)
Moon (Occluding Body)
Umbra (Total Shadow Cone)
Penumbra (Partial Light Cone)
Rayleigh Refracted Light

☀️ 1. Why Eclipses Happen

An eclipse is an astronomical alignment known as syzygy, where three celestial bodies line up in a straight path in space.

Because the Sun is an extended light disc rather than a single point light source, the shadowing body projects two distinct shadow regions:

  • Umbra: The dark inner cone where the Sun is completely blocked. Standing inside it produces a Total Eclipse.
  • Penumbra: The expanding outer cone where only a fraction of the Sun is occluded, producing a Partial Eclipse.
  • Antumbra: Beyond the umbra tip, where the Moon appears smaller than the Sun, creating an Annular "ring of fire".

📐 2. The 5.14° Orbit Tilt Secret

If the Moon's orbit was in the exact same plane as Earth's orbit around the Sun (the ecliptic plane), we would witness a Solar eclipse at every New Moon and a Lunar eclipse at every Full Moon (every ~29.5 days).

In reality, the Moon's orbital plane is inclined by 5.14°. Most months, the New Moon passes slightly above or below the Sun, casting its shadow harmlessly into empty space.

Eclipses only occur during eclipse seasons (roughly every 173.3 days), when the Moon crosses the nodes (the intersection points of the two orbital planes) exactly when aligned with the Sun.

🔴 3. The Blood Moon & The Cosmic Coincidence

The Cosmic Coincidence: The Sun is approximately 400 times wider than the Moon, but it is also coincidentally ~400 times farther away from Earth. This causes both to have almost identical apparent angular diameters (~0.5°) in our sky!

Why Lunar Eclipses Turn Red: During a Total Lunar Eclipse, Earth blocks direct sunlight to the Moon. However, sunlight grazing Earth passes through our thick atmosphere.

Shorter blue wavelengths scatter away (Rayleigh scattering), while red wavelengths bend through our atmosphere, casting the glow of all world sunrises and sunsets onto the Moon.