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Sun & Moon

Sun Moon Apparent Diameter Ratio Calculator

Calculate sun moon apparent diameter ratio with explicit astronomical inputs and a visible equation.

Astronomy & Space · Sun & Moon

Enter the astronomical quantities

Private in-browser model · explicit units and assumptions
SUN / EARTHMOON
Sun Moon Apparent Diameter RatioCompare angular diameters θ = 2 atan(diameter ÷ 2 distance)
  1. 1EnterProvide the known values
  2. 2CalculateResults update automatically
  3. 3VerifyReview the details and units
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Sun Moon Apparent Diameter Ratio result

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Understand the astronomy model

What this calculator explains

Calculate sun moon apparent diameter ratio with explicit astronomical inputs and a visible equation. The schematic comes before the examples and inputs so the geometry and measured quantities remain easy to identify.

Governing relationship

Compare angular diameters θ = 2 atan(diameter ÷ 2 distance)

Model boundary

This idealized relationship does not supply live ephemerides, weather, visibility, equipment approval, mission navigation or safety decisions.

Quick guide

How to use this calculator

  1. Choose the complete example closest to your situation.
  2. Replace the example with measurements in the displayed units.
  3. Check the equation and model boundary before interpreting the result.

Calculation method

Transparent astronomy calculation

Compare angular diameters θ = 2 atan(diameter ÷ 2 distance)

No hidden catalog, weather, ephemeris or equipment preset is introduced.

Worked example

Three complete starting scenarios

Load the complete moon geometry scenario.

Compare angular diameters θ = 2 atan(diameter ÷ 2 distance)

Supported inputs

Precision and limits

Idealized calculation

This idealized relationship does not supply live ephemerides, weather, visibility, equipment approval, mission navigation or safety decisions.

Coordinates and epochs

When coordinates or time are involved, keep the same epoch, longitude convention and reference frame.

Not a live sky forecast

The calculator does not know cloud, seeing, transparency, obstructions or current equipment condition.

Privacy

Entered astronomy values remain in this browser.