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Solar, Lunar and Planets Ephemerides

Date and Time in Coordinated Universal Time (UTC)   Date and Time in Terrestrial Time (TT)  
Coordinates of the Observer
Latitude  °  '  —> 48.75439°
Longitude  °  '  —> 2.30138°
Elevation  meters

The [Lat/Lon DMS<->DD Converter] can help you entering the geographic coordinates of the viewing location.
Day Month Year Weekday Day Month Year  
Hour Minute Second Julian Date Hour Minute Second Julian Date
Mean Greenwich Sidereal Time Local Time (GMT )
Local Sidereal Time  
Equation of Time (in minutes) ΔT * (TT = UTC + ΔT)
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Note :
* ΔT values from year 1620 onward are taken from a table based on F.R. Stephenson & L.V. Morrison (1984) work studying historical records. In modern times values are essentially based on VLB (Very Long Baseline) observations of radio sources such as quasars. Values since 1973 are given by the following formula ΔT = TAI - UT1 + 32.184 sec = (TAI - UTC) - (UT1 - UTC) + 32.184 sec.
Values prior to year 1620 are computed using the following formulas :
ΔT (sec) = 2177 + 497 * u + 44.1 * u² (u = centuries from 2000) for years between -391 BCE and +948 CE
ΔT (sec) = 102 + 102 * u + 25.3 * u² (u = centuries from 2000) for years between +948 CE and +1600 CE
from Jean Chapront, Michelle Chapront-Touzé & G. Francou (1997), using a Moon’s secular acceleration value (n') of -25.7376"/cy² (where cy is given in centuries).
Future values of ΔT can be estimated at best.


  Ecliptic Geocentric
Coordinates
Horizontal Topocentric
Coordinates
Equatorial Geocentric
Coordinates
 
  Longitude Latitude Altitude
(Alt)
Azimuth
(Az)
Right
Ascension
Declination Earth Distance Sun
Distance
Elongation Angular
Size
Phase
Disk
Apparent
Magnitude
Sun --- --- --- -26.70
Moon
Mercury
Venus
Mars
Jupiter
Saturn
Uranus
Neptune
Pluto (*)

Note :
The elongation is the angular distance of the object from the Sun. If less than 20 degrees, the celestial body can hardly be seen, and at less than 10 degrees the celestial body is practically indiscernible.



Moon
Mercury  


Constellation where the Sun is located : 
Venus
Mars
Jupiter
Saturn
Uranus
Neptune
Pluto (*)


Astronomical
Twilight
(h = -18°)
Nautical
Twilight
(h = -12°)
Civil
Twilight
(h = -6°)
Sunrise Sun
Transit
Sunset Civil
Twilight
(h = -6°)
Nautical
Twilight
(h = -12°)
Astronomical
Twilight
(h = -18°)
 
True north-based azimuths
North    
North-Northeast 22° 30'
Northeast 45°  
East-Northeast 67° 30'
East 90°  
East-Southeast 112° 30'
Southeast 135°  
South-Southeast 157° 30'
South 180°  
South-Southwest 202° 30'
Southwest 225°  
West-Southwest 247° 30'
West 270°  
West-Northwest 292° 30'
Northwest 315°  
North-Northwest 337° 30'


  Rise Transit Set      
Mercury Moon Rise Azimuth
Venus
Mars Set Azimuth
Jupiter
Saturn
Uranus  
Neptune
Pluto (*)


Table for an angular separation lower than 20° :
  Sun Moon Mercury Venus Mars Jupiter Saturn Uranus Neptune Pluto (*)
Sun  
Moon  
Mercury  
Venus  
Mars  
Jupiter  
Saturn  
Uranus  
Neptune  
Pluto (*)  

Note :
(*) During the 26th International Astronomical Union (IAU) General Assembly, on 2006 August 24, Pluto was demoted to a new "dwarf planet" class of objects.

The formulas used can be found in the "Calculs Astronomiques à l’usage des amateurs" book by Jean Meeus
[ISBN 2-901730-03-6] 1986 Edition, Société Astronomique de France.




Last page update on May 3, 2004.
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