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Calcimator

Solar Eclipse Timing

Calculate solar eclipse duration and umbral shadow diameter from Moon and Sun distances. Determines eclipse type, angular sizes, and maximum totality duration.

Inputs

km
km

Results

Max Totality Duration

110.8 sec

Max Duration

1.85 min

Umbral Shadow Diameter

104.6 km

Eclipse Type

Annular (near-total)

Magnitude Ratio (Moon/Sun)0.9708
Moon Angular Size31.07 arcmin
Sun Angular Size32 arcmin
Angular Difference-0.94 arcmin
Max Obscuration94.2%
How to Use This Calculator
  1. Enter the Moon Distance (km) for the date of the eclipse — perigee (356,500 km) produces the longest totality, apogee (406,700 km) results in annular eclipses.
  2. Enter the Sun Distance (km) for the date — perihelion (147.1 M km) in January slightly increases totality duration.
  3. Read the Eclipse Type: total when the Moon fully covers the Sun, annular when its angular size is smaller.
  4. Check Max Totality Duration (sec) and Umbral Shadow Diameter (km) to understand the path width.
  5. Compare Moon Angular Size and Sun Angular Size (arcmin) — when the Moon's exceeds the Sun's, a total eclipse is possible.
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Formula

Duration ≈ shadow_width / shadow_speed; θ = d / D

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