Julian Date Converter

Time & Dates

Convert calendar Gregorian dates and times into continuous Julian Day (JD), Modified Julian Day (MJD), and day-of-year ordinal dates for astronomy, geodesy, and satellite tracking.

Calculated Result
JD 2,461,287

Modified Julian Date (MJD): 61,286.5

Formula: JD = Unix epoch days + 2440587.5

About this calculator

Astronomers, satellite tracking operators, and geodesy researchers use the Julian Day system—a continuous count of days and fractions since noon Universal Time on January 1, 4713 BC—to avoid the complications of irregular month lengths and historical leap year calendar reforms.

This calculator converts any Gregorian calendar date and UTC time into standard Julian Date (JD) and Modified Julian Date (MJD = JD - 2,400,000.5), as well as standard ordinal day-of-year (DOY).

How It Works & Formula

FormulaMeeus JD algorithm; MJD = JD − 2400000.5

Calculates Julian Day Number using the standard astronomical algorithm: JD = 367·Y - floor(7(Y + floor((M+9)/12))/4) - floor(3(floor((Y + (M-9)/7)/100) + 1)/4) + floor(275M/9) + D + 1721028.5 + (UT hours / 24).