Calculation of Sidereal Time and Ascendant
In this lesson we are describing sidereal time and are listing the formulas to derive
10th house and ascendant degree accurately using sidereal time. Oral computation
of ascendant is also described. Attention is drawn towards the common error committed
by most of the fellow astrologers in the computation of ascendant or planet degrees.
One Solar day is the time between two successive passages of the sun across the
meridian as observed at a particular place. In astrology, we are interested in motion
of stars. We want to know the time period of earth when any star is observed to
return to the same position. Such a clock is called a sidereal clock and its time,
being regulated by stars is called sidereal time.
There are 365.2422 days in the year. During this period, the earth makes one revolution
around the Sun. If we look from remote stars, we see that the earth has made 366.2422
circles about its axis in 365.2422 days. Each sidereal day is thus :
Duration of one sidereal day = Duration of sidereal year/No. of sidereal days
= 23 hr. 56 m 4.09 s
(shorter by 3 min 55.91 seconds than the mean solar day of 24 hours.)
GMT and Greenwich sidereal time coincide at one instant every year at the autumnal
equinox (around September 22). Thereafter, the difference increases until half a
year later it is 12 hours (around March 23). After one year, the times again coincide.
To compute sidereal time manually, please refer to "Tables of Ascendants" by N.C.
The 10th House or Mid-Heaven :
The point of intersection of the ecliptic of the
given time with the meridian of the place is the tenth house for that moment. If
A is the sidereal time expressed in degrees and B is the tenth house, then tenth
house can be computed as : tan B = tan A Sec wwhere w is the inclination of earth’s
equatorial plane to the ecliptic.
The ascendant is the point of intersection of the ecliptic with the
eastern horizon of the place. if A is the sidereal time in degrees + 900then
From A & B, we can evaluate D the declination & q =90 - angle between meridian
& ecliptic, as:
sin D = sin A sin w ....(2)
sin q = sin w cos b ....(3)
From D & q, we compute the ascendant as :
where j is the latitude of the place.
The value of the ascendant as calculated above is the sayan value. Subtracting ayanamsa
we get nirayana ascendant. The above formulae gives accurate values of ascendant.
In absence of scientifc calculators, the ascendant & the tenth house can be
computed using tables of ascendant by N.C. Lahiri. However, calculation of ascendant
using tables gives rise to errors because of tables not available for the given
place or for the given sidereal time. This error some times goes upto many minutes
Approximate computation of Ascendant :
The ascendant can also be computed approximately
orally from date of time of birth. It does not vary much because of latitude or
longitude, if local time is taken. So take the standard time & roughly estimate
the local time. Take the date of birth and estimate the Sun degree, using the fact
that it is 00 on 14th April and it advances by 10 everyday or 1 sign every month.
If the date of birth is December 13th, then
as per table given Sun enters into Sagittarius on 15th Dec. Hence it is approximately
on 280 scorpio on 13th December in any year.
Since at Sun rise, Sun is at the eastern horizon, so the Sun degree matches with
the ascendant degree. Hence at Sun rise on 13th December any year, the ascendant
is approximately 280 Scorpio. After that it increases by the sign every 2 hours
or 10 every 4 minutes. More accurately, it crosses six signs from Sun rise to Sun
set and next six signs from Sun set to Sun rise. So if time of birth is 1 PM and
since sunrise is approximately at 7.15 AM in Delhi at that time and day duration
is only about 10 hours the ascendant after 5hrs. 45 minutes of sunrise shall be
3 signs and few degrees away than the Sun, that is, it will be just crossing Aquarius
and reaching Pisces.
Actual calculations show that ascendant on 13.12.56 at 1 PM at Delhi is 90 7’ Pisces.
Traditionally, we calculate ascendant from Ishta Ghati using Palabha, Lankodaya,
Udaymaan and Sun degrees for different signs. However because of better trignometric
methods described above we are not putting it down here.
To make the task easy, Panchangs give ending time of ascending signs on daily basis
for a given place. These tables can be directly used to get fairly correct ascendant
sign. An interpolation of time between the two signs also gives us ascendant accurate
to a degree normally sufficient for most of the astrological predictions.
Ascendant calculation for foreign births : To utmost surprise, at least 50% astrologers
commit mistake in calculating the ascendant for foreign births. This is mainly because
they convert the time of birth to Indian Standard time. This way if a birth has
taken place in the morning in New York, it becomes evening in India. Then when we
calculate the horoscope, we find sun placed in the 7th house, whereas it should
be in the ascendant by virtue of the definition of ascendant itself.
The trigonometric method above holds good for any date, time and place of birth.
You do not have to change anything anywhere. However, if you want to compute ascendant
orally, then also go for the method prescribed above. It will give approximately
correct value of ascendant for any longitude or latitude (south latitude also).
To make the task further easy, take any Panchang which gives ending moment of signs
for given local time of birth. Compute the local time by making oral correction
for longitude to time zone and look into the table to get ascendant accurate to
few degrees. This works because of the basic fact that ascendant varies only by
a few degrees due to latitude.
Further note that to calculate planet positions using ephemeris or Panchangs, it
is necessary to convert time from other time zone to IST since the Panchangs are
giving values at IST only.
This is the common mistake done by most of the astrologers that they convert time
to IST for calculation of ascendant and take the time as it is for calculation of
planet degrees. So, remember : Do not convert time to IST for ascendant calculation
of foreign births but convert the time to IST for planet degree calculations.