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
2460872.5
0.958877314815
-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 16 [Wednesday] Gregorian JD Number = 2460873 JD00 = 2460872.5 = JD for 00h of date Local Time = 23:00:47 = 0.958877314815 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) = 2460873.667210648148 Longitude = -76° 49' 23.915" = -76.8233097222° (W) = -05h 07m 17.594s = -5.1215539815 h ================================================================= Local Mean Sidereal Time at Longitude -76.8233097222° (W) 18h 34m 26.264s = 18.5739623011 h 278° 36' 33.96" = 278.6094345171° Local True Sidereal Time at Longitude = -76.8233097222° (W) 18h 34m 26.472s = 18.5740199203 h 278° 36' 37.08" = 278.6102988050° Greenwich Mean Sidereal Time 23h 41m 43.859s = 23.6955162826 h 355° 25' 57.879" = 355.4327442395° Greenwich True Sidereal Time 23h 41m 44.066s = 23.6955739018 h 355° 26' 00.991" = 355.4336085273° ================================================================= Applied Auxiliary Computations Time Factors Corresponding to Full Astronomical JD T = 0.255404988655 Julian centuries reckoned from J2000.0 t = 0.025540498865 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) +3.391" = +0.0009420152° = Nutation in ecliptical longitude +8.750" = +0.0024306115° = Nutation in ecliptical obliquity +0.207s = +0.0008642879° = Equation of the equinoxes Mean Ecliptic Obliquity 23° 26' 09.493" = 23.4359701929° Nutation in Obliquity +8.750" = +0.0024306115° True Ecliptic Obliquity 23° 26' 18.243" = 23.4384008044°
Jay Tanner - PHP Science Labs - 2025 - 1.7