Free calculatorLive resultsSteps and sourcesEmbed on your site, free

Julian Date Calculator

Julian date calculator works out Julian Day and Julian Day Number (noon that day) from What to convert, Calendar date and Time of day (UT). The default figures on this page give julian Day of 2,451,545.000000; change any entry and the result, the working and the sources update together.

Julian Day
2,451,545.000000
Julian Date Calculator
Julian Day Number (noon that day)
2,451,545
Modified Julian Date
51,544.500000
Gregorian date
2000-01-01
Time of day (UT)
12:00:00
Ordinal date stamp
00001
Day of the year
1
Weekday
Saturday
Same day in the Julian calendar
1999-12-19
Gregorian ahead of Julian by
13 days
Days since J2000.0
0.000000
Summary
2000-01-01 12:00:00 UT = JD 2451545 = MJD 51544.5; ordinal stamp 00001.
Worked out from IAU / US Naval Observatory, Explanatory Supplement to the Astronomical Almanac, 3rd edition, §15.11 (Julian date) and 3 other sources.

Your figures

Updates as you type
The Julian Day rolls over at noon UT, so 12:00 gives a whole number.
Astronomical Julian Day, e.g. 2451545.0 for the J2000.0 epoch.
Five digits (YYDDD) or seven (YYYYDDD).
A two-digit year is ambiguous; it is read as the latest year no later than this that ends in those digits.

How this is worked out

3 steps
  1. 2000-01-01 has Julian Day Number 2451545 (the JD at 12:00 UT that day).
  2. The Julian Day at 12 h UT is 2451545 - 0.5 + 12/24 = 2451545.
  3. MJD = JD - 2400000.5 = 51544.5.

Its 6 worked examples are re-run on every release, last on 15 September 2026. What changed

Sources and references

4 sources
IAU / US Naval Observatory, Explanatory Supplement to the Astronomical Almanac, 3rd edition, §15.11 (Julian date)
2013 · The Julian Day begins at 12h UT; JD 2451545.0 = 2000 January 1.5 (the J2000.0 epoch), and MJD = JD - 2400000.5 begins at midnight.
ISO 8601-1:2019, clause 4.1.2.3, ordinal dates (YYYY-DDD)
The day-of-year form behind the five- and seven-digit "Julian date" stamps.
Howard Hinnant, chrono-Compatible Low-Level Date Algorithms
days_from_civil / civil_from_days, and the Julian-calendar inverse used for the Julian-calendar equivalent.

What the julian date calculator calculates

Converts between a calendar date and the astronomical Julian Day (a continuous day count from -4712-01-01 12:00 UT, so JD 2451545.0 is 2000-01-01 12:00 UT), the Modified Julian Date, and the ordinal "Julian date" stamp used on manufactured goods and in the military (24061 = day 61 of 2024). It runs in both directions and also gives the Julian-calendar equivalent of the date.

How to use this julian date calculator

Enter What to convert, Calendar date, Time of day (UT) and Julian Day. Julian Day updates as you type, and “Use a worked example” loads checked figures you can adjust. Change one figure at a time to see what drives the result.

How the result is worked out

Open “How this is worked out” beside the result for the step-by-step calculation behind Julian Day, Julian Day Number (noon that day) and Modified Julian Date.

The method follows IAU / US Naval Observatory, Explanatory Supplement to the Astronomical Almanac, 3rd edition, §15.11 (Julian date), IAU Resolution B1 (1997) defining the epoch J2000.0 as JD 2451545.0 TT, ISO 8601-1:2019, clause 4.1.2.3, ordinal dates (YYYY-DDD) and Howard Hinnant, chrono-Compatible Low-Level Date Algorithms.

The J2000.0 epoch example

With What to convert: date-to-jd, Calendar date: 2000-01-01, Time of day (UT): 12:00, the calculator returns Julian Day: 2451545, Modified Julian Date: 51544.5, Days since J2000.0: 0. This example is checked against an independent source in the test suite.

What you can compare

Change one input at a time to see how it affects Julian Day, Julian Day Number (noon that day) and Modified Julian Date. The inputs you can vary are What to convert, Calendar date, Time of day (UT), Julian Day, Ordinal date stamp and Ordinal stamp format.

Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.

Embed this calculator on your website

Copy this code into any page. The calculator appears with the figures currently entered, sizes itself to fit, and a small credit line links back here. Free, no account, no ads inside it, no tracking of your readers. Set your own figures and fixed fields; Personal removes the credit line, sets your colour and shows you which sites use it.

Preview

See something wrong? Report a problem with this calculator

Frequently asked questions

How do you calculate Julian date?

Converts between a calendar date and the astronomical Julian Day (a continuous day count from -4712-01-01 12:00 UT, so JD 2451545.0 is 2000-01-01 12:00 UT), the Modified Julian Date. Open “How this is worked out” beside the result to see each step for your own figures.

What are the Julian dates for 2026?

On the figures this page opens with, the julian Day is 2,451,545. No single number fits everyone: it follows What to convert, Calendar date and Time of day (UT), so enter your own above and the answer updates as you type.

How do I convert a date to a Julian date?

It needs What to convert, Calendar date, Time of day (UT), Julian Day, Ordinal date stamp and Ordinal stamp format. Nothing else is required, and the figures stay in your browser.

What is a 4 digit Julian date?

Converts between a calendar date and the astronomical Julian Day (a continuous day count from -4712-01-01 12:00 UT, so JD 2451545.0 is 2000-01-01 12:00 UT), the Modified Julian Date. On this page it is computed from What to convert, Calendar date and Time of day (UT) and shown as Julian Day, Julian Day Number (noon that day) and Modified Julian Date.

What information do I need for the julian date calculator?

You need What to convert, Calendar date, Time of day (UT), Julian Day, Ordinal date stamp, Ordinal stamp format and Read a two-digit year as at or before. The page opens with default figures that give julian Day of 2,451,545.000000, so you can see the scale before entering your own.

What does this julian date calculator show?

It shows Julian Day, Julian Day Number (noon that day), Modified Julian Date, Gregorian date, Time of day (UT), Ordinal date stamp, Day of the year and Weekday, with the working and any warnings for your entries.

Related calculators

View all related calculators9 more