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Astronomy Calculators

Light-years, AU and parsecs, orbital periods, escape velocity, surface gravity, weight on other planets and telescopes.

Key astronomy formulas

Light Year Converter1 light year = 9.4607 × 10¹² km = 63,241 AU = 0.3066 pc
Astronomical Unit Converter1 AU = 149,597,870.7 km = the average Earth–Sun distance
Parsec Converter1 pc = 3.2616 light years = 206,265 AU · distance (pc) = 1 / parallax (arcsec)
Orbital PeriodT = 2π√(a³ / GM) · Kepler: T² ∝ a³
Escape Velocityv_esc = √(2GM / r)
Surface Gravityg = GM / r²
Weight on Other Planetsweight = mass × local gravity
Telescope MagnificationMagnification = telescope focal length ÷ eyepiece focal length
Focal Ratiof-ratio = focal length ÷ aperture
Angular Sizeθ = 2·arctan(size / 2d)

Astronomy questions

How long is a light year in years?

It is not a time at all — it is the distance light covers in a year, about 9.46 trillion km.