Sidereal Time Calculator For Any Date, Time and Longitude
PHP Program by Jay Tanner
Local Date
±
Y M D (Neg=BC)
Local Time
HH MM SS (00 to 24h)
Local Time Zone Offset
HH MM (Neg/Pos = W/E)
ΔT (Delta T)
±
HMS
UT
2460873.5
0.130115740741
-0.208333333333
+0.000000000000
Calendar Mode:
Julian
Gregorian
Longitude:
±Deg.ddd or ±D M S (Neg=W)
-76.8233097222
IMPORTANT:
Make sure that the local time, time zone and longitude are correctly matched for the location.
OPTIONAL:
NASA Polynomial ΔT estimate = +75 sec = +00h 01m 15s
Double-Click Within Text Area to Select ALL Text
SIDEREAL TIME FOR GIVEN DATE, TIME AND LONGITUDE Local Date = 2025 Jul 17 [Thursday] Gregorian JD Number = 2460874 JD00 = 2460873.5 = JD for 00h of date Local Time = 03:07:22 = 0.130115740741 day T Zone Diff = -05:00 = -0.208333333333 day Delta T = +00:00:00 = +0.000000000000 day Astronomical Julian Date: JDTT = JDNum - 0.5 + LTFrac - (TZFrac) + (dTFrac) = 2460873.838449074074 Longitude = -76° 49' 23.915" = -76.8233097222° (W) = -05h 07m 17.594s = -5.1215539815 h ================================================================= Local Mean Sidereal Time at Longitude -76.8233097222° (W) 22h 41m 41.772s = 22.6949365638 h 340° 25' 26.57" = 340.4240484564° Local True Sidereal Time at Longitude = -76.8233097222° (W) 22h 41m 41.978s = 22.6949939957 h 340° 25' 29.68" = 340.4249099350° Greenwich Mean Sidereal Time 03h 48m 59.366s = 3.8164905452 h 57° 14' 50.489" = 57.2473581787° Greenwich True Sidereal Time 03h 48m 59.573s = 3.8165479772 h 57° 14' 53.591" = 57.2482196574° ================================================================= Applied Auxiliary Computations Time Factors Corresponding to Full Astronomical JD T = 0.255409676908 Julian centuries reckoned from J2000.0 t = 0.025540967690 Julian millennia reckoned from J2000.0 Circular Trig Functions of Given Longitude Longitude = -76.8233097222° (W) sin(Lon) = -0.973671722605411 cos(Lon) = +0.227954768756023 tan(Lon) = -4.271337370649689 Nutations (IAU 2000B Series) +3.380" = +0.0009389534° = Nutation in ecliptical longitude +8.747" = +0.0024297284° = Nutation in ecliptical obliquity +0.207s = +0.0008614787° = Equation of the equinoxes Mean Ecliptic Obliquity 23° 26' 09.492" = 23.4359701319° Nutation in Obliquity +8.747" = +0.0024297284° True Ecliptic Obliquity 23° 26' 18.239" = 23.4383998604°
Jay Tanner - PHP Science Labs - 2025 - 1.7