Astronomic features of HORCOM8P.

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Introductory remark : One cannot always separate strictly astronomical and astrological  view in the present context !

For the calculation of the positions of the big planets Sun,Mercury,Venus,Mars,Jupiter,Saturn,Uranus,Neptun as well as Moon are used analytic formulae,which where primarily created by the "Institut de Longitude",Paris and,in abbreviated form,where put at the disposal of a greater public by JEAN MEEUS : " Astronomische Algorithmen " ,Verlag  Johann Ambrosius Barth,1992.
About  9000 sinus-terms are required for a set of all planets.
These formulae are very exact and are certainly usable for the year 2000 + - 4000 years.

On the base of these formulas, i have also calculated the velocitys and the signs of the accelerations of the planets as well as the momentary values ( = true values ) of the Moons Node and the Moons Apogee  ( = " black moon " ).

For Pluto and Chiron, comparable analytic theories are not available.Therefore iI have calculated,with numerical integration, tables of heliocentric coordinates for PL and CH  for the time-span of approximately 600 b.Chr. until approximately 2200 A.D.,out of which the positions are interpolated.The gravitational-effects (disturbances) of the big planets were taken care of .Outside of this time-span,pluto is calculated with approximate,analytical formulae.

Accordingly,i have calculated tables for Ceres,Pallas Juno,Vesta,Pholus,Damocles and Nessus  for the time-span 1500 A.D. until 2100 A.D and the Comet Halley for 1600 to 2100,also including the disturbances of the great planets ("10-body-problem " ) .Quaoar for the same time-span as Pluto.

• The Planets - Ephemerides can be calculated in 3 modes :

1. True  =  Geometrical position,how it results  from the equations of movement,not included the effects of  velocity of light  as it would be observable with infinite speed of light.
2. Apparent 1  = apparent position with consideration of the time of light between emission and observation.This is the mode,which is mostly used in astronomy for the tables of the planets. This effect depends from the distance between object and observer.
3. Apparent 2  = apparent position as with Apparent1 , with additional effect of the annual Aberration.This is the mode,which is mostly used in astronomy for the catalogues of the fixed stars.This effect depends from the distance of object and observer and the relative velocity between them.

• The planets can be represented geocentric,heliocentric and topocentric ( =  " With  Parallax " = referred to the concrete place on the earth's surface ).The Moon,of course,only geocentric and topocentric. For the moon, the " parallax " can amount up to approximately 1°,corresponding up to approximately  two hours time-difference.For the outer planets the difference between geocentric and topocentric mode may be neglected,but is nevertheless taken care of in HORCOM.

• For the big planets ME until PL, also the Mean Nodes and Apsides are shown in the table of planets coordinates.See to that the example below.

• The hypothetical " planet " Trans - Pluto ", also named " Isis " in astrology,with the orbital elements stated by NEIL.F.MICHELSEN can be selected.Its astronomic existence is utterly questionable,but many astrologers estimate it greatly.I would recommend,to omit it totally.

• As well the ephemerides of the hypothetical " planets " Cupido,Hades... ..Poseidon of the " HAMBURGER SCHULE" can be selected.They have no astronomic background but are derived  alltogether astrologically by ALFRED WITTE and are used by his school.

Generally speeking,the hypothetical " planets "  should be used not nearly as confidently as the real planets,especially the great one.For transits and especially for directions,one should neglect them.Many astrologers are here the more courageous,the less is their knowledge in astronomy.

Astronomic support-routines in HORCOM8P :

• Coordinates -Table.  It can be switched with any time-units  further or back,

Example of an output-screen : coordinates - table  Mode Apparent 1 with the light-time,however without aberration 

• Additional Planets Coordinates Table . For the planetoids and the hypothetical " planets ". Can be switched with any time-units further and back.Design analogous to the precedent example.

• Ingresses into the 12 zadiacal signs for the following objects:

1. Sun
2. Moon
3. AC
4. MC

The table can be switched further and back.With the sun,You can f.e. calculate the time for the spring- or autumn-point ( 0° AR resp. 0° LI ).

Further support-routines and programs:

• Conversion of degrees decimal into Degree/Minute/Second and vice versa,with F5 out of the output-screens.
• Ephemeris Time from Universal Time and vice versa.
• Date from the Julian Day .The reverse case is seen in the coordinate-table.The " Julian Day " is the universally used mode of time,independent from a calendar.It counts in days from the 1.1.4713 v.Chr 12h.
• Conversion of  Length,Latitude in Rectascension,Declination and vice versa.
• Conversion of  Universal Time in Local Time and vice versa.
• " Mundane " aspects of the planets among each other as Table,or Linear Graphics.See the following example as linear graphics.This program can also be used in hour-astrologie,for testing wether the moon or üplanets are "void of course".

 Example of an output-screen : Mundane Aspects as linear-graphics for basic arc 90 degree and 4 months interval : 

The wildly wobbling line  belongs to the " black moon " as momentary value !

• Rise,Meridian-Transit and Setting of the planets as table.Switching onward and backwards is possible.

Example of an output-screen :  Rise,Meridian-Transit and Setting of the sun

• Newmoon,Fullmoon,Sun - and Moon - Eclipses : Times of the maximum.
• 
  Optionally, also aspects for  the valid record can be shown .

Example of an output-screen :  Newmoon,Fullmoon,Sun-eclpses etc.