Quick, transparent calculators for common astronomical conversions. Cosmological quantities share one parameter set; results are estimates under the model shown.
Flat ΛCDM · numerical integration
Cosmology & distances
Cosmology engine
Set the background cosmology used by all redshift-based distance and time tools.
Shared parameters
Assumes spatially flat ΛCDM: ΩΛ = 1 − Ωm − Ωr. Radiation defaults to zero for low-redshift work. A negative ΩΛ is permitted mathematically, but may not describe the cosmology you intend.
Comoving, angular-diameter and luminosity distances, plus lookback time and cosmic age.
ΛCDM
Angular size ↔ physical size
Convert an angular diameter to a transverse physical size using Dₐ(z).
Small-angle
Flux ↔ luminosity
Bolometric or band-integrated flux and luminosity, without a K-correction.
Inverse-square law
Distance modulus
Apparent ↔ absolute magnitude from luminosity distance.
No extinction / K-correction
Redshift ↔ spectral wavelength
Observed/rest wavelength conversion for spectral features.
Spectroscopy
Redshift ↔ recession velocity
Special-relativistic Doppler conversion for a radial velocity interpretation.
Not Hubble flow at high z
This is a Doppler-equivalent velocity, not a general cosmological recession velocity. For nearby objects, peculiar velocity corrections and the adopted frame (heliocentric, barycentric, CMB) matter.
Photometry & spectra
AB magnitude ↔ flux density
Convert AB magnitude and fν in Jy, mJy or μJy.
AB system
Galactic foreground extinction
Estimate Aᵦ = Rᵦ × E(B−V) using a selectable coefficient.
Foreground only
Coefficients are approximate and depend on the adopted extinction law, bandpass and source SED. Apply to Galactic foreground only; internal attenuation is a separate correction.
Coordinates & time
RA / Dec ↔ decimal degrees
Parse sexagesimal coordinates with sign and range checks.
ICRS-style input
Angular separation
Great-circle separation between two sky positions.
Spherical geometry
Julian Date / Modified Julian Date
Calendar date and time in UTC → JD and MJD.
UTC input
This uses the browser's date input fields as UTC calendar components; leap-second representation is not supported.
Galactic ↔ equatorial coordinates
Transform ICRS/J2000 equatorial coordinates to Galactic longitude and latitude.
Fixed rotation
Observing conditions
Airmass
Kasten–Young approximation from target altitude.
Atmosphere
The approximation is not intended for targets at or below the horizon; near-horizon atmospheric conditions are especially uncertain.