Explications

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Explications of the type of output data

Designations on the page Explications

Alpha, Delta (h, m, s.decimals) Alpha, Delta -- astrometric geocentric (or topocentric) right ascension and declination of satellite.

Diff. X, Y (arcsec) X=Δ(Alpha)*cos(Delta), Y=Δ(Delta) -- projections of apparent arc between satellite and its reference body onto the celestial parallel and celestial meridian mutually intersecting in the reference body.

Diff. S(arcsec), Position angle (degrees) Differential: S - apparent angular separation between the selected satellite and its reference body, Position angle, counted from North towards East.

Diff. Inclination (deg), A, B (arcsec) Rotated differential coordinates: Inclinaiton (I) - position angle of the apparent north pole of the planet, X=A·cos I + B·sin I, Y=-A·sin I + B·cos I , where X, Y are defined as differential X=Δ(Alpha)*cos(Delta), Y=Δ(Delta).
Tang. X, Y (arcsec) Tangential coordinates measured on the tangent plane of the celestial sphere at the point of reference body. X is measured to the north, Y - to the east.

Tang. S(arcsec), Position angle (degrees) Tangential: S=sqrt(X^2+Y^2), Position angle P is defined by tg(P)=Y/X , where X, Y are defined as tangential coordinates.

Tang. Inclination (deg), A, B (arcsec) Rotated tangential coordinates: Inclinaiton (I) - position angle of the apparent north pole of the planet, X=A·cos I + B·sin I, Y=-A·sin I + B·cos I , where X, Y are defined as tangential coordinates.

Delta(Alpha), Delta(Delta) (arcsec) The differences in right ascensions and declinations of satellite and reference body (i.e. the body with reference to which the ephemerides are calculated).

Pseudo-heliocentric X, Y For modelling mutual eclipses of two satellites, the values X=Δ(Alpha)*cos(Delta) and Y=Δ(Delta) may be given out which are the projections of the heliocentric arc between eclipsing and eclipsed satellites onto the corresponding heliocentric celestial parallel and meridian for the date of geocentric phenomenon. The calculations take into account the light time between eclipsing and eclipsed satellites and the light time between the eclipsed satellite and an observer on the Earth. The units are arcseconds. Epoch of equator and equinox J2000 only.

Pseudo-heliocentric S, Position angle For modelling mutual occultations of two satellites, pseudo-heliocentric differential coordinates may be given: S - heliocentric angular separation (arcsec) between occulting and occulted satellites, Position angle (degrees) of the eclipsing satellite relative to the eclipsed satellite, counted from North towards East. Epoch of equator and equinox J2000 only.

x, y, z, Vx, Vy, Vz Geo-equatorial Rectangular planetocentric coordinates of satellite referred to the geoequatorial reference frame. For the majority of satellites the corresponding components of velocity are also given out. The units are always kilometres and kilometres per day. No light time. Epoch of equator and equinox J2000 or B1950 only. Coordinates may be centered at choosen reference satellite.

x, y, z, Vx, Vy, Vz Geo-ecliptic Rectangular planetocentric coordinates of satellite referred to the terrestrial ecliptic reference frame. The units are kilometres and kilometres per day. No light time. Epoch of equator and equinox J2000 only. Coordinates may be centered at choosen reference satellite.

x, y, z, Vx, Vy, Vz Geo-planetocentric Rectangular planetocentric coordinates of satellite referred to the planetary equatorial reference frame with x-axis toward the ascending node of planet equator on the terrestial one. The units are kilometres and kilometres per day. No light time. Epoch of equator and equinox J2000 only. Coordinates may be centered at choosen reference satellite.

R, Alpha, Delta Geo-planetocentric Planetocentric distance (km), right ascension and declination (degrees) in the terrestrial equatorial reference frame. No light time. Epoch of equator and equinox J2000 only. Coordinates may be centered at choosen reference satellite.

Kepler osculat. orbit(geo-equat.) Elements of the osculating Keplerian orbit for the given date in the terrestial equatorial reference frame. Mean motion (deg/day), semi-major axis (km), eccentricity, inclination, mean anomaly, argument of pericenter, longitude of the ascending node are calculated independently. Angular parameters are given out in degrees. For the satellites for which components of planetocentric velocity are not calculated, the elements of the Keplerian orbit are not calculated. No light time. Epoch of equator and equinox J2000 only.

Kepler osculat. orbit(geo-eclipt.) Elements of the osculating Keplerian orbit for the given date in the ecliptic reference frame. Mean motion (deg/day), semi-major axis (km), eccentricity, inclination, mean anomaly, argument of pericenter, longitude of the ascending node are calculated independently. Angular parameters are given out in degrees. For the satellites for which components of planetocentric velocity are not calculated, the elements of the Keplerian orbit are not calculated. No light time. Epoch of equator and equinox J2000 only.

Kepler osculat. orbit(planeto-equat.) Elements of the osculating Keplerian orbit for the given date in the planetary equatorial reference frame, with x-axis toward the ascending node of planet equator on the terrestial one. Mean motion (deg/day), semi-major axis (km), eccentricity, inclination, mean anomaly, argument of pericenter, longitude of the ascending node are calculated independently. Angular parameters are given out in degrees. For the satellites for which components of planetocentric velocity are not calculated, the elements of the Keplerian orbit are not calculated. No light time. Epoch of equator and equinox J2000 only.

Plan-equat.lat.,long.,sideral of sat. Sideral planetocentric latitude and longitude of the satellite upon the planetary equator. Longitude counted from the ascending node of planet equator on the terrestial one. Angular parameters are given out in degrees.

Plan-equat.lat.Earth.,lat.long.synodic of sat. Planetocentric latitude of the Earth upon the planetary equator, sinodic planetocentric latitude and longitude of the satellite upon the planetary equator. Longitude counted from the projection of the planetocentric Earth direction on the planet equator. Angular parameters are given out in degrees.

Plan-equat.lat.Sun,lat.long.heliocentr.of sat. Planetocentric latitude of the Sun upon the planetary equator, planetocentric latitude and longitude of the satellite upon the planetary equator. Longitude counted from the projection of the planetocentric Sun direction on the planet equator. Angular parameters are given out in degrees.

Topoc.alt.,azim.of sat.,alt.,azim.of the Sun Local topocentric elevation, azimuth and hour angle of the satellite, elevation and azimuth of the Sun, Moon phase (0.0 for new Moon, 1.000 for full Moon). Angular parameters are given out in degrees.

Dist.Sun.-Plan.,app.plan.R,Phase,magn.of sat. Apparent topocentric distance Sun-Planet (degrees); apparent planetary radius (arcesec), phase angle (degrees), satellite magnitude (V).

Designations on the page	Explications
Alpha, Delta (h, m, s.decimals)	Alpha, Delta -- astrometric geocentric (or topocentric) right ascension and declination of satellite.
Diff. X, Y (arcsec)	X=Δ(Alpha)*cos(Delta), Y=Δ(Delta) -- projections of apparent arc between satellite and its reference body onto the celestial parallel and celestial meridian mutually intersecting in the reference body.
Diff. S(arcsec), Position angle (degrees)	Differential: S - apparent angular separation between the selected satellite and its reference body, Position angle, counted from North towards East.
Diff. Inclination (deg), A, B (arcsec)	Rotated differential coordinates: Inclinaiton (I) - position angle of the apparent north pole of the planet, X=A·cos I + B·sin I, Y=-A·sin I + B·cos I , where X, Y are defined as differential X=Δ(Alpha)*cos(Delta), Y=Δ(Delta).
Tang. X, Y (arcsec)	Tangential coordinates measured on the tangent plane of the celestial sphere at the point of reference body. X is measured to the north, Y - to the east.
Tang. S(arcsec), Position angle (degrees)	Tangential: S=sqrt(X^2+Y^2), Position angle P is defined by tg(P)=Y/X , where X, Y are defined as tangential coordinates.
Tang. Inclination (deg), A, B (arcsec)	Rotated tangential coordinates: Inclinaiton (I) - position angle of the apparent north pole of the planet, X=A·cos I + B·sin I, Y=-A·sin I + B·cos I , where X, Y are defined as tangential coordinates.
Delta(Alpha), Delta(Delta) (arcsec)	The differences in right ascensions and declinations of satellite and reference body (i.e. the body with reference to which the ephemerides are calculated).
Pseudo-heliocentric X, Y	For modelling mutual eclipses of two satellites, the values X=Δ(Alpha)*cos(Delta) and Y=Δ(Delta) may be given out which are the projections of the heliocentric arc between eclipsing and eclipsed satellites onto the corresponding heliocentric celestial parallel and meridian for the date of geocentric phenomenon. The calculations take into account the light time between eclipsing and eclipsed satellites and the light time between the eclipsed satellite and an observer on the Earth. The units are arcseconds. Epoch of equator and equinox J2000 only.
Pseudo-heliocentric S, Position angle	For modelling mutual occultations of two satellites, pseudo-heliocentric differential coordinates may be given: S - heliocentric angular separation (arcsec) between occulting and occulted satellites, Position angle (degrees) of the eclipsing satellite relative to the eclipsed satellite, counted from North towards East. Epoch of equator and equinox J2000 only.
x, y, z, Vx, Vy, Vz Geo-equatorial	Rectangular planetocentric coordinates of satellite referred to the geoequatorial reference frame. For the majority of satellites the corresponding components of velocity are also given out. The units are always kilometres and kilometres per day. No light time. Epoch of equator and equinox J2000 or B1950 only. Coordinates may be centered at choosen reference satellite.
x, y, z, Vx, Vy, Vz Geo-ecliptic	Rectangular planetocentric coordinates of satellite referred to the terrestrial ecliptic reference frame. The units are kilometres and kilometres per day. No light time. Epoch of equator and equinox J2000 only. Coordinates may be centered at choosen reference satellite.
x, y, z, Vx, Vy, Vz Geo-planetocentric	Rectangular planetocentric coordinates of satellite referred to the planetary equatorial reference frame with x-axis toward the ascending node of planet equator on the terrestial one. The units are kilometres and kilometres per day. No light time. Epoch of equator and equinox J2000 only. Coordinates may be centered at choosen reference satellite.
R, Alpha, Delta Geo-planetocentric	Planetocentric distance (km), right ascension and declination (degrees) in the terrestrial equatorial reference frame. No light time. Epoch of equator and equinox J2000 only. Coordinates may be centered at choosen reference satellite.
Kepler osculat. orbit(geo-equat.)	Elements of the osculating Keplerian orbit for the given date in the terrestial equatorial reference frame. Mean motion (deg/day), semi-major axis (km), eccentricity, inclination, mean anomaly, argument of pericenter, longitude of the ascending node are calculated independently. Angular parameters are given out in degrees. For the satellites for which components of planetocentric velocity are not calculated, the elements of the Keplerian orbit are not calculated. No light time. Epoch of equator and equinox J2000 only.
Kepler osculat. orbit(geo-eclipt.)	Elements of the osculating Keplerian orbit for the given date in the ecliptic reference frame. Mean motion (deg/day), semi-major axis (km), eccentricity, inclination, mean anomaly, argument of pericenter, longitude of the ascending node are calculated independently. Angular parameters are given out in degrees. For the satellites for which components of planetocentric velocity are not calculated, the elements of the Keplerian orbit are not calculated. No light time. Epoch of equator and equinox J2000 only.
Kepler osculat. orbit(planeto-equat.)	Elements of the osculating Keplerian orbit for the given date in the planetary equatorial reference frame, with x-axis toward the ascending node of planet equator on the terrestial one. Mean motion (deg/day), semi-major axis (km), eccentricity, inclination, mean anomaly, argument of pericenter, longitude of the ascending node are calculated independently. Angular parameters are given out in degrees. For the satellites for which components of planetocentric velocity are not calculated, the elements of the Keplerian orbit are not calculated. No light time. Epoch of equator and equinox J2000 only.
Plan-equat.lat.,long.,sideral of sat.	Sideral planetocentric latitude and longitude of the satellite upon the planetary equator. Longitude counted from the ascending node of planet equator on the terrestial one. Angular parameters are given out in degrees.
Plan-equat.lat.Earth.,lat.long.synodic of sat.	Planetocentric latitude of the Earth upon the planetary equator, sinodic planetocentric latitude and longitude of the satellite upon the planetary equator. Longitude counted from the projection of the planetocentric Earth direction on the planet equator. Angular parameters are given out in degrees.
Plan-equat.lat.Sun,lat.long.heliocentr.of sat.	Planetocentric latitude of the Sun upon the planetary equator, planetocentric latitude and longitude of the satellite upon the planetary equator. Longitude counted from the projection of the planetocentric Sun direction on the planet equator. Angular parameters are given out in degrees.
Topoc.alt.,azim.of sat.,alt.,azim.of the Sun	Local topocentric elevation, azimuth and hour angle of the satellite, elevation and azimuth of the Sun, Moon phase (0.0 for new Moon, 1.000 for full Moon). Angular parameters are given out in degrees.
Dist.Sun.-Plan.,app.plan.R,Phase,magn.of sat.	Apparent topocentric distance Sun-Planet (degrees); apparent planetary radius (arcesec), phase angle (degrees), satellite magnitude (V).