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Everyday & Conversions

Sidereal Time Calculator

Work out Greenwich and local mean sidereal time for a date, hour and longitude — the clock astronomers use to point a telescope.

Your inputs

Change any value to update the result instantly.

Everyday & Conversions
h UT
°

Local mean sidereal time

17:02:54

Greenwich mean sidereal time

11:54:06

GMST in hours

11.9018 h

Longitude correction

5.1467 h

This is mean sidereal time from the standard low-precision expression. It ignores nutation (the equation of the equinoxes), which shifts apparent sidereal time by at most about 1 second.

What this calculator does

Computes Greenwich and local mean sidereal time for a date, UT hour and longitude.

What your result means

Local mean sidereal time — the right ascension currently on the meridian.

Formula and working

GMST (hours) = 18.697374558 + 24.06570982441908 × D, where D = Julian Date − 2451545.0; LMST = GMST + longitude ÷ 15

  1. 1

    Collect the inputs

    Date (UT) = 2026-03-21; Universal Time = 0 h UT; Longitude (east positive) = 77.2 °

  2. 2

    Apply the formula

    GMST (hours) = 18.697374558 + 24.06570982441908 × D, where D = Julian Date − 2451545.0; LMST = GMST + longitude ÷ 15

  3. 3

    Result

    Local mean sidereal time = 17:02:54 h

Frequently asked questions

Symbols and assumptions

D
Days from Julian Date 2451545.0 (J2000.0)
λ
Longitude in degrees, east positive
  • Low-precision GMST expression: GMST = 18.697374558 + 24.06570982441908 × D.
  • Longitude east of Greenwich is positive; 15° of longitude equals one hour.

Sources and review

Reviewed 2026-09-22 · Next review 2027-09-22

  • Mean, not apparent, sidereal time: the equation of the equinoxes (up to about 1 second) is not applied.

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

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