Twelve independent calculations
Astronomy calculators and telescope tools
Use free astronomy calculators for telescope magnification, field of view, exit pupil, light gathering, camera image scale, angular separation, Julian dates and light travel time.
Each page answers one input-driven question with a visible formula. There are no equipment prices, product rankings, hidden catalogue values, observing forecasts or navigation claims.
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Most searched telescope and sky math tools
Start with true field of view for eyepieces, light-gathering ratio for aperture comparisons, angular separation for two RA/Dec positions, or image scale for camera sampling.
Calculate telescope magnification from telescope focal length, eyepiece focal length and an explicit Barlow or reducer multiplier.
Open calculator โ02Telescope focal ratioDivide telescope focal length by clear aperture to calculate the focal ratio as an explicit f-number.
Open calculator โ03Eyepiece true field of viewCalculate telescope true field of view from eyepiece apparent field, telescope focal length and eyepiece focal length, with degrees and arcminutes.
Open calculator โ04Telescope exit pupilCalculate exit pupil from telescope aperture and magnification derived from telescope and eyepiece focal lengths.
Open calculator โ05Dawes limitApply the empirical Dawes 116 รท aperture-mm relation and convert the resolution estimate to arcseconds, arcminutes and degrees.
Open calculator โ06Light-gathering area ratioCalculate telescope light-gathering power from aperture diameter versus a reference pupil, showing area ratio and aperture area in mmยฒ.
Open calculator โ07Camera field of viewCalculate horizontal, vertical and diagonal rectilinear field of view from sensor dimensions and focal length.
Open calculator โ08Astronomy image scaleCalculate arcseconds per pixel and approximate sensor field from pixel size, focal length and pixel dimensions.
Open calculator โ09Right ascension to degreesConvert right ascension from hours, minutes and seconds to decimal hours, degrees and arcseconds.
Open calculator โ10Angular separationCalculate angular separation between two RA/Dec coordinate pairs, with the answer in degrees, arcminutes and arcseconds.
Open calculator โ11Unix time to Julian dateConvert a Unix timestamp in seconds to Julian Date, Modified Julian Date and elapsed Unix days.
Open calculator โ12Light travel timeConvert a user-entered distance in kilometres into one-way vacuum light travel time in seconds, minutes and hours.
Open calculator โChoose by input
Optics, imaging, coordinates or time
Eyepiece and telescope dimensions feed magnification, focal ratio, true-field, exit-pupil and idealised-resolution calculations. Camera sensor data feed field-of-view and image-scale tools. Sky coordinates feed right-ascension conversion and great-circle separation. Numeric time and distance feed Julian-date and light-time conversion.
For dated lunar events, the separate Moon phase calendar keeps official USNO records grouped by year. For local light and twilight, use the city pages from the SkyClock home page.
Planning numbers, not equipment verdicts
These tools expose arithmetic. Real observations also depend on atmosphere, wavelength, optical quality, obstruction, transmission, focus, tracking, calibration and the coordinate reference used. Nothing here selects equipment or replaces independent verification.