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
0.204618055556
-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 = 04:54:39 = 0.204618055556 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) = 2460873.912951388889 Longitude = -76° 49' 23.915" = -76.8233097222° (W) = -05h 07m 17.594s = -5.1215539815 h ================================================================= Local Mean Sidereal Time at Longitude -76.8233097222° (W) 00h 29m 16.396s = 0.4878876555 h 07° 19' 05.93" = 7.3183148331° Local True Sidereal Time at Longitude = -76.8233097222° (W) 00h 29m 16.602s = 0.4879450113 h 07° 19' 09.03" = 7.3191751697° Greenwich Mean Sidereal Time 05h 36m 33.990s = 5.6094416370 h 84° 08' 29.848" = 84.1416245555° Greenwich True Sidereal Time 05h 36m 34.196s = 5.6094989928 h 84° 08' 32.946" = 84.1424848921° ================================================================= Applied Auxiliary Computations Time Factors Corresponding to Full Astronomical JD T = 0.255411716670 Julian centuries reckoned from J2000.0 t = 0.025541171667 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) +3.376" = +0.0009377086° = Nutation in ecliptical longitude +8.745" = +0.0024292806° = Nutation in ecliptical obliquity +0.206s = +0.0008603366° = Equation of the equinoxes Mean Ecliptic Obliquity 23° 26' 09.492" = 23.4359701054° Nutation in Obliquity +8.745" = +0.0024292806° True Ecliptic Obliquity 23° 26' 18.238" = 23.4383993860°
Jay Tanner - PHP Science Labs - 2025 - 1.7