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
0.860914351852
-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 = 20:39:43 = 0.860914351852 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) = 2460873.569247685185 Longitude = -76° 49' 23.915" = -76.8233097222° (W) = -05h 07m 17.594s = -5.1215539815 h ================================================================= Local Mean Sidereal Time at Longitude -76.8233097222° (W) 16h 12m 59.091s = 16.2164140617 h 243° 14' 46.36" = 243.2462109253° Local True Sidereal Time at Longitude = -76.8233097222° (W) 16h 12m 59.298s = 16.2164717950 h 243° 14' 49.48" = 243.2470769244° Greenwich Mean Sidereal Time 21h 20m 16.685s = 21.3379680432 h 320° 04' 10.274" = 320.0695206476° Greenwich True Sidereal Time 21h 20m 16.893s = 21.3380257765 h 320° 04' 13.392" = 320.0703866468° ================================================================= Applied Auxiliary Computations Time Factors Corresponding to Full Astronomical JD T = 0.255402306575 Julian centuries reckoned from J2000.0 t = 0.025540230657 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) +3.398" = +0.0009438804° = Nutation in ecliptical longitude +8.752" = +0.0024310223° = Nutation in ecliptical obliquity +0.208s = +0.0008659991° = Equation of the equinoxes Mean Ecliptic Obliquity 23° 26' 09.493" = 23.4359702278° Nutation in Obliquity +8.752" = +0.0024310223° True Ecliptic Obliquity 23° 26' 18.244" = 23.4384012500°
Jay Tanner - PHP Science Labs - 2025 - 1.7