Angular object size calculator

Calculate angular diameter with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use angular diameter to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Object diameter (same units as distance)
100
Distance to centre (same units)
10000
Angular diameter (degrees)
0.57296
Angular diameter (arcseconds)
2,062.656657

Try another scenario

Object diameter (same units as distance)
110.00000000000001
Distance to centre (same units)
10000
Angular diameter (degrees)
0.630257
Angular diameter (arcseconds)
2,268.924308
Calculation method

Calculation method

Angular diameter (degrees)

Sphere angular diameter=2 asin(radius/distance).

Angular diameter (arcseconds)

Sphere angular diameter=2 asin(radius/distance).

Symbols and units
a
Object diameter (same units as distance)
b
Distance to centre (same units)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Spherical object; observer outside sphere. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Spherical object; observer outside sphere.
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