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Unit Conversions · Specialized measurement · Astronomy & extreme scales

Telescope Plate Scale and Field of View Calculator

Calculate exact and small-angle pixel scale plus horizontal, vertical, and diagonal field of view from focal length, pixel pitch, and detector dimensions.

Unit Conversions · Specialized measurement · Astronomy & extreme scales

Telescope Plate Scale and Field of View Calculator

Private in-browser calculation · explicit models, units, assumptions, and companion outputs

Calculation result

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Quick guide

How to use this calculator

  1. Choose the astronomical relationship and solve direction first, then keep angles, distances, wavelengths, magnitudes, fluxes, and motion units explicit.
  2. Use exact geometry where supplied and compare it with the small-angle or classical approximation rather than assuming every astronomical scale uses the same model.
  3. Use the companion outputs to reconcile the result, then retain the stated observational and model limits before interpreting a theoretical value as a measured physical property.

Calculation method

How the telescope plate scale and field of view calculator works

Turn optical and sensor specifications into a reconciled sampling and field-of-view summary without assuming a particular telescope, reducer, binning mode, or distortion model.

Exact angular pixel scale = 2 atan(pixel pitch ÷ (2 focal length)); small-angle scale = 206264.806 × pixel pitch/focal length in consistent units. Field of view uses 2 atan(sensor dimension ÷ (2 focal length)).

Worked example

Telescope Plate Scale and Field of View example

At 1,000 mm focal length and 3.76 µm pixels, the small-angle scale is about 0.775 arcsec/pixel.

Exact angular pixel scale = 2 atan(pixel pitch ÷ (2 focal length)); small-angle scale = 206264.806 × pixel pitch/focal length in consistent units. Field of view uses 2 atan(sensor dimension ÷ (2 focal length)).

Supported inputs

Precision and limits

Astronomy and model boundary

Effective focal length, reducer spacing, binning, pixel geometry, optical distortion, tilt, projection, usable sensor area, seeing, guiding, and sampling requirements can change observed results. Use measured or manufacturer-qualified effective values where accuracy matters.

Precision and reporting

Calculations retain working precision and round only for display. Very small and large nonzero values use scientific notation; displayed digits cannot create accuracy, traceability, or observational certainty absent from the entered data.

Category ownership

This collection owns unit-aware astronomy and extreme-scale measurement relationships. Calendar astronomy, orbital dynamics, cosmology, telescope equipment selection, and professional astrometric reduction require separate models and tools.

Privacy

Entered values and results stay in this browser and are not sent to analytics or third parties.

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