Please use the
left-margin page-list to find the
year you want. Years from 1940-2015 are shown first; years from 1920-1939 appear beneath (this is because they were added afterwards and in MSN Groups it is only possible to re-order pages individually, one slot at a time, very slowly through the page list - so it would take about four hours just to correct the order.) There are three web-pages for each year, each spanning four months. The first page for each year, '
a', covers
January-April of that year. Once you have entered it, you can navigate with the '
back' link at the foot of the page to go to page '
c' covering
September-December of the
previous year, or with '
forward' to go to page '
b' covering
May-August of the
same year. Alternatively, once you are in the first page for any year, you can directly access the other two pages for the same year from the
indented links that appear at the relevant point in the
left-margin page list.
The positions displayed in this geocentric ephemeris are for midnight Greenwich Mean Time at the start of each day. Positions for each luminary and planet and for the Moon's North Node are shown as two figures followed by two letters followed by two more figures. The first two figures represent the number of
whole degrees longitude of the factor concerned (ranging from
0 to 29) within the
sign of the tropical zodiac specified (in abbreviated form) by the two middle letters. The last two figures pinpoint the longitude of the factor concerned more precisely by describing the number of
minutes of a degree, to the nearest minute (ranging from
0 to 59) additional to the whole degrees shown by the first two figures.
How to use the ephemeris:
The
ephemeris enables you to calculate very accurately the positions by
sign, degree and
fraction of a degree within the
tropical zodiac of the planets, Sun, Moon and Moon's Nodes at any time of any day from 1920-2015. To do this, observe the following procedure:
1. First of all, for the day and time you want to look up,
correct the time to
Greenwich Mean Time. For a variety of popular
time zones, this is done as follows; but if in doubt as to your time zone, please consult an atlas or table of houses that provides precise details of time zones.
If your time zone is:
International Date Line, add 12 hours
Bering (Samoa), add 11 hours
Hawaiian, add 10½ hours
Alaska-Hawaii, add 10 hours
Yukon, add 9 hours
Pacific, add 8 hours
Mountain, add 7 hours
Central, add 6 hours
Eastern, add 5 hours
Atlantic, add 4 hours
Newfoundland, add 3½ hours
Brazil Zone 2, add 3 hours
Azores, add 2 hours
West Africa, add 1 hour
Central European, deduct 1 hour
Eastern European, deduct 2 hours
Baghdad, deduct 3 hours
Indian time, deduct 5½ hours
North Sumatra (Burma, deduct 6½ hours
South Sumatra, deduct 7 hours
Java, deduct 7½ hours
China Coast, deduct 8 hours
Japan, deduct 9 hours
South Australia, deduct 9½ hours
Guam, deduct 10 hours
New Zealand, deduct 12 hoursIf
daylight savings or
summer time was in operation at the time of year concerned,
deduct one hour.
Then you have the
GMT-corrected time to look up in the ephemeris. In some cases the time zone correction will also have
changed the nominal day, so take this into account when looking for the correct rows to read.
2. Turn to the
year and
month concerned. You should look at the figures for the positions of the Sun, Moon, planets and North Node at the
start of the day (the row bearing the day's date) and those for the
end of the day (the row immediately beneath, bearing the following day's date).
3. For each factor concerned (eg Sun), in order to make working (and eventual aspect and transit calculation) easier,
convert the minutes of degrees (the two figures to the
right of the central two-letter sign abbreviation) at both the start and the end of the day
to the nearest whole decimal point of a degree, as follows:
0-5 minutes = .0;
6-11 minutes = .1;
12-17 minutes = .2
18-23 minutes = .3
24-29 minutes = .4
20-35 minutes = .5
36-41 minutes= .6
42-47 minutes = .7
48-53 minutes = .8
54-59 minutes = .94. Then
subtract the position at the
start of the day from that at the
end of the day to work out the
number of degrees (to the nearest decimal point) the factor will have
moved by during the whole
24 hour day. [If the factor was in retrograde motion, this figure will be negative. Don't worry if so: keep it as a minus number.]
In working out this difference, remember that there are thirty degrees in every sign, expressed to the nearest whole decimal place from
0.0º to
29.9º.
If there was a change of sign from the start to the end of the day,
add 30º to the degrees figure for the
sign which is the later of the two in the normal direct-motion zodiac, regardless of the direction of the change between the signs (ie forward if in direct motion; backward if in retrograde motion) performed by the factor concerned during that day.
[For example, if Venus was at
29.6º Taurus at the
start of the day and at
1.1º Gemini at the
end of the day,
Gemini is the
later sign, so
add 30º to 1.1º, giving
31.1º as the
end of day position; then
subtract 29.6 from this, giving a
total movement by Venus that day of
1.5º.]
[Conversely, if Venus was at
1.1º Gemini at the
start of the day and at
29.6º Taurus at the
end of the day,
Gemini is still the
later sign in the zodiac although the motion is retrograde, so you convert the
start of day position to
31.1º just as you converted the end of day position to 31.1º in the direct motion example above; but then you
subtract this figure from the
29.6º end-of-day position, giving a
total movement by Venus that day of
-1.5º: a negative (minus) figure reflecting the retrograde motion.]
5. Next, calculate the
amount of this total movement that will have occurred
by the exact time of day you are looking up. To do this,
express the time of day you are looking up as a
fraction of 24 hours - for example, 8pm = 20/24 (or, better still, as a
fraction of the 1440 minutes in each day - for example, 6:37am = 397/1440); then
multiply this time fraction by the
total movementduring the day which you already calculated in
4. above. The
result of this multiplication is the most accurate estimate possible of the
amount of its total movement in the day that the factor will have completed by the time of day you are looking up. Again, express it to the nearest
decimal point of a degree. If the factor was in retrograde motion, again, this figure will be negative, which is correct if so: do not attempt to invert its polarity to positive!
6. Finally,
add this result to the position of the factor at the
start of the day, as directly read from the ephemeris. This will give you the closest possible estimate as to the
exact position of the factor at the
time of day you are looking up. [If the figure you are adding is a negative value (a minus number) because the factor was in retrograde motion, then the sum which you are effectively performing is a subtraction of the negative sum's positive equivalent! Adding a minus number is the same thing as subtracting a plus number.]
Repeat this process with all the listed factors whose positions you wanted to know, from the Sun through to the Moon's Nodes.
Key to the middle two letter sign abbreviations:AR = Aries
TA = Taurus
GE = Gemini
CN = Cancer
LE = Leo
VI = Virgo
LI = Libra
SC = Scorpio
SA = Sagittarius
CA = Capricorn
AQ = Aquarius
PI = PiscesThis ephemeris is directly derived from the Achernar 210-year Ephemeris, and was presentationally customised by Apolo for Horoscopeschat.
For years outside 1920-2015, please visit Achernar's web-site from 'Web Links'. Full credit and thanks to Achernar for taking the time and trouble to calculate and display this easy-to-use resource.
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