In today’s post, we are continuing
the example given for calculation of ascendant in the previous
post. The horoscope depends on the two important points. They are the
Ascendant and the Meridian Cusp It is known as Madhya Lagna or the cusp of the
tenth house. Bhaskaracharya the great astronomer of India has defined it as the
point where the meridian of the place cuts the ecliptic.
Formula
for the calculation of the tenth house
1.If the birth is after
sunrise but before the midday then the formula is
[1/2*Duration of the
day]  Istakala
2.If the birth is after
midnight but before sunrise then the formula is
[1/2*Duration of the
day] + [Sunrise  Birth time]
3.If the birth is after
midday but before sunset then the formula is
Istakala 
[1/2*Duration of the day]
4.If the birth is after
Sunset but before midnight then the formula is
[1/2*Duration of the
day] + [Birth time  Sunrise]
The rising period of the sign at the equator is obtained after determining the position of the sayana Sun. The
reckoning is done in the reverse order. If the rules (1) or (2) are applicable
then deduct the arc from the Sayana longitudes of the Sun else if rule (3) or
(4) is applicable add it to the Sun's longitude.
Particulars

Pune

Hong
Kong

Ista
Kala (A)

11hrs58min28sec

14hrs47min24sec

Day
Duration (B)

13hrs06min00sec

13hrs20min48sec

1 / 2
Day Duration (C )

06hrs33min00sec

6hrs40min24sec




(A)  (C
)

05hrs25min28sec



(Refer
rule 3)



(A) 
(B) + (C )



08hrs07min00sec

(Refer
rule 4)






Duration
(D)

05hrs25min28sec

08hrs07min00sec

Sun's
Position

3/9/44/00

3/9/44/00







Duration
of cancer at the equator

02hrs08min44sec

02hrs08min44sec




Sun’s
expired duration in cancer

(2844*9/44)/30

(2844*9/44)/30

Reckoning
backwards the sun's



Expired
in cancer = (E)

00hrs41min46sec

00hrs41min46sec




Balance
(D)  (E )

04hrs43min42sec

07hrs25min14sec




Less:Duration
of Gemini at the equator

02hrs08min44sec

02hrs08min44sec




Balance

02hrs34min58sec

05hrs16min30sec




Less:Duration
of Taurus at the equator

01hrs59min40sec

01hrs59min40sec




Balance

00hrs35min18sec

3hrs16min50sec




Less:Duration
of Aries at the equator

*

1hrs51min36sec




Balance


1hrs25min14sec




Less:Duration
of Pisces at the equator


*

Now we cannot deduct the duration of the sign any more. Now we can compute the cusp of the tenth house. It is as follows:
For Pune = {0/35'/18" }*30 / {1/51'/14"}= 9/31'/14"
For Hong Kong = [1/25'/14"}*30/{1/51'/14"}=22/59'/16"
Therefore the difference between the sun and meridian for Pune =79/15'/14"
Similarly the difference between the sun and meridian for Hong Kong = 122/43'/16".
The distance thus obtained can be added to the sun's longitude for Pune and Hong Kong as they fall under the rule (3) and (4).
The addition thus obtained is 178/59'/14" for Pune and 222/27'/16" for Hong Kong. After deducting the Ayanamsa, we get 198/34'/51" i.e.18/34'/51" of Libra for Hong Kong and 5/6'/49" of Virgo for Pune.
Thus the cusp for the tenth house is calculated.
Calculation
of the cusps of other houses
For calculation of the nonangular
houses i.e. Houses other than 1^{st}, 4^{th},7^{th} and 10^{th}. The trisecting arc
between the Ascendant point and meridian cusp is divided by three and the
result thus obtained is added to the tenth to find the cusp of the eleventh
house. Similarly, the result thus obtained is again added to the cusp of the
eleventh house to find the cusp of the twelfth house.
Here
is an example

Pune

Hong Kong

Difference
between the arc and meridian

83/12'/57"

77/17'/56"

Dividing
the difference by three

27/44'/19"

25/45'/59"

Therefore the cusp of the eleventh and
the twelfth house are 182/51'/8" and 210/35'/27" for Pune. Similarly, the cusps for Hong Kong are 224/20'/50" and 250/6'/49".
To get the cusp of the second, third
house and the fourth house, add 60, 120 and 180 degrees to the twelfth,
eleventh and the tenth cusp respectively. After calculation of the house cusps
of the six houses, we can calculate the house cusp of the rest of the houses by
adding 180 degrees to each house.
For
e.g. the cusp of the seventh house is calculated by adding 180 degrees to the
ascendant. To calculate the cusp of the eighth house, add 180 deg. to get the
second house.
The
bhava sandhi (Junction point) is calculated by addition of the two houses and
dividing the addition by two.
For
e.g. The junction point of XII th house & I th house is 224/27'/36" [{
210/35'/27" + 238/19'/46"}/2] similarly the junction point of the
first and second houses for Pune is 254/27'/36". Thus the extent of the
first house is from 224/27'/36" to 254/27'/36" and its midpoint is
238/19'/46".In this way, the midpoint of each house and the junction point
of the houses are calculated.
Exercise: 1)
Calculate the house cusp for each house for Pune and Hong Kong.
2)
Calculate the Junction points for each of the houses for Pune and Hong Kong.
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