Brihat Parashara Hora Shastra · Volume 1
5. To find out Planetary Position
पञ्चाङ्गस्थो मिश्रमानकाल: पङ्क्तिसमाह्वयः ।
सूर्योदयाद्यातकालः सावनेष्ट उदीरितः ॥ १ ॥
- The 'Mishramaankaala' in the almanac is called 'Pankti'. The time from the sunrise to the desired time is called 'Savanesta Kaala'.
Day duration+night duration2=MishramaanKaala
Suppose the day duration is 34 ghati - 8 pala.
The whole length of time of day and night is 60 ghatis (24 hours). Therefore, the value of night duration will be = 60 - day duration. It will be night duration.
60 − 34 − 8 = 25 − 52
Divided by 2, it is = 12 − 56
| Therefore, Mishramaan Kaala | = 34 − 8 |
| + 12 −56 | |
| 47 − 4 |
This is the Ishta or desired time of the midnight. This is the Mishramaan Kaala. The Mishramaan Kaala of every day calculated by mathematical methods is given in the almanacs. The position of the planets at the time of the Mishramaan kaala is also given there. It is this that is called 'Pankti'.
Sawaneshta: The time from one Sunrise to another Sunrise is called one Sawan day. Any given time from the Sunrise on the Sawan day is called Sawaneshta (or the desired Sawan time). Suppose on 2-6-1951 the time of sunrise is 5-10-24. The time of birth is 10-59-20 PM. The difference between the time of sunrise to that of birth is 17-48-56. Multiplied by 2 1/2 it is converted into Ghati, Pala etc. The resultant is 44 Ghati-32 Pala 20 Vipala. This is the Sawaneshta. (24-32-20). This is called Ishta Kaala also (the desired time).
दिनाद्यमन्तरं यच्च तपोर्यातैष्यकं हि तत् ।
पतयाधिक्ये यातसंज्ञमैष्यमिष्टेऽधिके स्मृतम् ॥ २ ॥
ऋण धनं दिनाद्यं तद् गुणितं ग्रहभुक्तिभिः ।
खरसैर्विहत लब्धमंशाद्यं चालनं फलम् ॥ ३ ॥
पङ्क्तिग्रहेषु संशोघ्यं योज्यं च क्रमशस्तदा ।
तात्कालिकग्रहा वामं पाते वक्रखगेऽपि तत् ॥ ४ ॥
2-4 The difference between the two Kaalas (Sawaneshta and Mishra Kaala) in terms of day etc. (that is day, Ghati, Pala etc.) is called Yaata kaala or Aishya kaala. If the Pankti kaala is ahead of the Ishta Kaala (that is, if the clarification of the planets is to be made before the Pankti kaala) then Ishta Kaala is to be deducted from the Pankti Kaala. The remainder in day, Ghati etc. will be called negative or Yaata Sanjaka. If the Ishta Kaala is ahead of the Pankti kaala (that is if the situation of the planets at the time of birth is to be known) then Pankti kaala is to be deducted from Ishta kaala and the remainder in day, Ghati etc. will be called positive or Aishya. The resultant negative positive in day, ghati etc. is multiplied by the movement of their respective planets. The figure so arrived at is divided by 60 and the degree etc. obtained in this way is to be made negative or positive in the planets of the Pankti kaala. In Yaata (Rahu and Ketu) and in retrograde planets the process is reversed and is made positive negative. Then the planets of that time will be clear.
Notes: In the old almanacs the planetary position was given of midnight each after eight days. This is called Pankti. Some Astrologers call it Prastaar also. Along with planetary positions the planetary movement is also given.
The difference between the Ishta Kaala and Mishra Kaala is called Chaalana. This Chaalana is either Aishya (+) or Yaata (-). If the Ishta Kaala is of time before the Mishra Kaala, then the Chaalana is negative (Yaata Sanjaka); and if the Ishta Kaala is of the time after the Mishra Kaala, then the Chaalana is positive (Aishya Sanjaka); because if the Ishta Kaala is of the time before the Mishra Kaala, then the planetary position of the Ishta Kaala will be arrived at by deducting from the planets of the Pankti Kaala; and if it is of the time after the Mishra Kaala then the planetary position of the Ishta Kaala will be arrived at by adding in the planets of Pankti Kaala. But in the case of the retrograde planets the process is reversed.
In the almanacs the Pankti of the Mishra maana Kaala is given in the following manner.
The Ishta of Planets on 8 (Ashtami) Monday 28-5-1951. Mishramaana Kala 47-04
| Sun | Mars | Mer. | Jup. | Ven. | Sat | Rahu | Ketu |
| 01 | 01 | 00 | 11 | 02 | 05 | 10 | 04 |
| 13 | 10 | 23 | 15 | 27 | 03 | 23 | 23 |
| 24 | 57 | 08 | 28 | 21 | 18 | 51. | 51 |
| 36 | 49 | 58 | 10 | 08 | 55 | 07 | 07 |
| − | − | − | − | − | − | − | − |
| 57 | 42 | 94 | 10 | 64 | 00 | 03 | 03 |
| 18 | 22 | 18 | 51 | 18 | 53 | 11 | 11 |
Suppose the birth of the native occurred on Jyeshta Krishna Trayodashi Samvata 2008. Date of birth 2-6-1951, Place of birth Hapur. The Sawaneshta or Ishta Kaala of the time of birth is 44 Ghati, 32 Pala and 20 Vipala. The day number of Saturday is Seven. Therefore, the Ishta Kaala may be called 7-44-32-20 day, Ghati etc. Pankti is of Monday dated 28-5-1951. Therefore, the Ishta Kaala of the Planets of Pankti will be 2-47-04 day ghati deducted from Ishta Kaala: The remainder will be called positive or Aishya. It is also called positive chaalana.
| Vaar (day) | ghati | Pala | Vipala | ||||
| 7 | − | 44 | − | 32 | − | 20 | |
| (−) | 2 | − | 47 | − | 04 | − | 0 |
| 4 | − | 57 | − | 28 | − | 20 |
Aishya or Positive Chaalana
Now in order to know the Planetary position at the time of birth, first of all the positive Chaalana is multiplied by the motion of the planet. The resultant is added to the planet position of the Pankti Kaala. Suppose the motion of he Sun is 57'-18" and the position of the Sun in the Pankti Kaala is 1-13°-24-36"
Therefore (4-57-28-20) 57-18+1-13°-24'-36" = 1-18°-8'-12" will be the position of the Sun at the time of birth. In this way the position of all the planets will be known. In the case of the retrograde planets the multiplication of the Positive Chaalana and the movement of the planet is deducted from the movement of the planet of the Pankti Kaala.
इष्टमधिकं नक्षत्रन्यूनं तदा इष्टादित्यनेन ज्ञेयम्:—
इष्टाविहीनं च दिनर्क्षनाडी भयातसंज्ञा भवतीह तस्य ।
दिनर्क्षनाड़ी खरसेषुशुद्धा निजर्क्षयुक्तः सहिते भभोगः ॥ ५ ॥
इष्टं न्यूनं नक्षत्रमधिकं तथा गतर्क्षनाडयेति ज्ञेयम्:—
गतर्क्षनाडी खरसेषुशुद्धा सूर्योदयादिष्टघटीषु युक्ता ।
भयातसंज्ञा भवतीह तस्य निजर्क्षनाडीसहिते भभोगः ॥ ६ ॥
5-6 Bhayaata Bhabhoga Sadhana. When the Ishta is more. and the Nakshtra is less.
If the Ghati, Pala etc. of the Nakshtra the day of the birth are deducted from the Ishta, it is Bhayaata and when the Ghati, Pala etc. of the Nakshtra of the day are deducted from 60 and when the Ghati, pala etc. of the present Nakshtra are added to it, then it is Bhabhoga.
When the Ishta is less and the Nakshtra is more.
When the Ghati, Pala etc. of the Nakshtra of the day are deducted from 60 and the Ishta is added to it, then it is Bhayaata. And when the Ghati, Pala etc of the Nakshtra of the time of the Ishta are added to it (i.e. 60) then it is Bhabhoga.
Bhayaata = Gatarksha = Bhukta Nakshtra = the Ghati, Pala etc. of the Nakshtra that have passed.
'Bhabhoga': The term means Nakshtra and Bhoga means Poornamaana (full value). In other words, knowing the Poorna maana (full value) of the Nakshtra is called Bhabhoga.
Bhabhoga=Sarvarksha = the Bhoga of the Sampoorna Nakshtra (whole asterism) = Poorna Bhoga Kaala (The full period to be covered).
When the Ishta Kaala is more than the Nakshtramaana, the Nakshtramaana itself should be deducted, from the Ishta Kaala, that will be Bhayaata'
Example:
Date of birth 2-6-1951. Suppose on this date the value of Bharani Nakshtra is 43 ghati, 56 pala. Where as the Ishta Kaala is 44 ghati, 37 pala and 20 Vipala. Therefore, the ghati, pala etc. of the Nakshtra will be deducted from the Ishta Kaala itself. In this way we shall be able to know how much of the Kritika Nakshtra has passed.
− the ghati pala of Bharani in the Almanac Kritika Bhayaata
| 44 | − | 32 | − | 20 |
| 43 | − | 56 | − | 00 |
| 00 | − | 36 | − | 20 |
Now according to the formula the Ghati Pala etc. of the lakshtra on the date of birth which is Bharani are deducted from 60
| 60 | − | 00 | |
| (−) | 43 | − | 56 |
| 16 | − | 04 |
The Ghati, Pala etc of the Kritika Nakshtra of the date of birth re added to the remainder
| 16 | − | 04 | |
| + | 49 | − | 18 |
| 65 | − | 22 |
**अथ चन्द्रस्पष्टमाह**
गतर्क्षषष्टि गुणितं भभोगेन च भाजितम् ।
दादिषष्टिगुणितैलब्धं तत्र सुयोजयेत् ॥ ७ ॥
तच्चापि द्विगुणं कृत्वा हांकेन विभेजेत्पुनः ।
मृगांकलब्धमंशादीन्सुसाधय द्विजोत्तम ॥ ८ ॥
7-8 Knowing the position of the Moon: Bhayaata is multiplied by 60 and the Quotient is divided by Bhabhoga. The figure so arrived at is added to the Number of the passed Ashwini etc. Nakshtra multiplied by 60. Now this amount multiplied by and divided by 9 (the figure will be in degrees is divided by 30). The figure so arrived at will give us the position of the Moon (Chandra spashta) in Signs, degrees, minutes and seconds.
Notes: The value of Bhayaata and Bhabhoga is in Ghatis and Palas. It has become clear form the above slokas. In order to know the Chandra Spashta (the positon of the Moon), first of all Bhayaata and Bhabhoga are made of similar denomination or they are converted into Pala or Vipala. Then the Palas of Bhayaata are multiplied by 60. Bhayaata multiplied by 60 is to be divided by Bhabhoga. From the division the resultant is taken upto 3 points. The number of the Nakshtra before the Nakshtra whose Bhayaata and Bhabhoga is to be known is found out. This number will be known when we count the number in order from the Ashwini Nakshtra onwards. This number is multiplied by 60 and the multiplied figure is added to the acquired number. The summation (total) is doubled and is divided by 9. The resultant will be got in degrees, minutes and seconds. The degrees are divided by 30. It will give us the positon of the Moon in signs, degrees, minutes and seconds.
We have Bhayaata in Palas and vipalas. Therefore, Bhayaata and Bhabhoga are converted into Vipalas.
Bhayaata (36 palas 20 Vipalas) × 60
= 2180 vipalas
Bhayaata×60Bhabhoga=3 Resultant[(60 ×the number of passed Nakshtra+3 Resultants)]×29
= Moon Position in degrees
2180×60235320=130800235320
= 0 − 33 − 21
The serial no. of the passed Nakshtra Bharani is 2
Every time the remainder is multiplied by 60 and divided by the figure that divides and the quotient is obtained 3 times)
Therefore as per formula:60×2+−33−22×29=241−6−429
= 26° − 47' − 25"
That is 0 − 26° − 47' − 25"
Will be the position of the Moon at the time of the birth
खखशून्याष्टवेदेन गतिर्भभोगभाजिता ।
एवं चन्द्रस्य विज्ञेया रीतिः स्पष्टतरा बुधैः ॥ ९ ॥
- To find out the motion of the Moon: In order to know the motion of the Moon the learned should divide the medium motion of the Moon 48000 by Bhabhoga.
Notes: There are 12 Signs in the 27 Nakshtras.
Sign 12 x 30° = 360° x 60 = 21600 minutes
Because there is 21,600 minutes in 27 Nakshtras
So, one' Nakshtra will have 2160027 = 800 minutes
800 x 60 48000 Seconds
Therefore the medium movement of the Moon is 48000 seconds. If 800 minutes or 48000 seconds have been arrived at in the Bhabhoga from proportion then in the Ahoratra (Day and Night) 60 ghatis it will prove to be the motion of the Moon for one day.
480003922 (Here if 48000 is multiplied by 60, then we shall have the movement of the Moon in minutes and seconds)
48000 × 603922 = 734 Minutes 19 Seconds.
मेषादौ सायनार्के तु दिनार्धजनिता हि या ।
द्वादशागुंलशंकोर्भा पलभेत्युच्यते बुधैः ॥ १० ॥
त्रिष्ठा सा गुणिता दिग्भिर्भुजंगैर्दशभिः क्रमात् ।
त्रिभिर्हताऽन्तिभगता भवेयुश्चरखण्डकाः ॥ ११ ॥
10-11 The Definition of palbha and the finding out of the Charkhanda (ascensional differences) with it: When the Saayana Sun is in the Signs of Aries etc. (that is when day and night are equal) the 12 Angul (fingers) Shadow of Shanku at midday is called Palbha. That Palbha is placed at three places and is multiplied respectively by 10, 8, 10, and the last factor (10) is divided by 3 also, then three Charkhanda respectively are obtained.
1 Angul = 60 Vyangul (Prati Angul)
1 Vyangul = 60 Prati vyangul
The palbha of Hapur is 6-34-27.
Therefore the Ist Charkhanda = (6-34-27) 10 = 65-45
The Second Charkhanda = (6-34-27) 8 = 52-36
The Third Charkhanda = (6-34-27) 103 = 21-55
लंकोदया विघटिका गजभान्यकंगोऽश्विनः ।
त्रिपक्षदहना एताः क्रमोत्क्रमगता: पुनः ॥ १२ ॥
क्रमोत्क्रमस्थितैर्हीनयुताश्चरदलैस्तदा ।
स्वोदया: स्युः क्रमान्मेषात्तुलादेरुत्क्रमात्तथा ॥ १३ ॥
12-13. To find out Swodaya from Lankodaya: Place 278, 299 and 323 Palas first in direct order and then in reverse order. The Charkhandas are also placed first in direct order and then in reverse order. First these are deducted from the first three places and then these are added in the 2nd three places. In this way the Swodaya Maana (Swodaya value) of the 6 Signs Aries etc will be in the direct order and of the next six signs Libra etc. will be in the reverse order.
| Aries | Pisces | 278 − 65 − 45 | = 212 − 15 |
| Taurus | Aquarius | 299 − 52 − 36 | = 246 − 24 |
| Gemini | Capricorn | 323 − 21 − 55 | = 301 − 05 |
| Cancer | Sagittarius | 323 + 21 − 55 | = 344 − 55 |
| Leo | Scorpio | 299 + 52 − 36 | = 351 − 36 |
| Virgo | Libra | 278 + 65 − 45 | = 343 − 45 |
Due to the bias (bending) of the angle of the earth, the value of the rising period of the signs in different latitudes is always changing. This rising period changes according to the charkhanda of the latitudes of that place. It means that the rising period of the signs is different at different places. Therefore, it is necessary that the rising period of the signs should be known at every place. When a sign begins to rise at the certain place on the horizon and its rise is completed and another sign begins to rise, the full period, that is the time taken in the full rising of the sign, is called the rising period of the sign.
On the equator the latitude is zero. Therefore, the equator is called Niraksha Desha. On the equator, charkhanda (Ascensional differences) is also zero and its period increases gradually according to the latitudes. The value of the rising period of a particular sig and its Charkhanda will remain the same at the places that are on the same latitudes. The Charkhanda of the equator is zero. If the rising period of every sign at the equator is known, then the rising period of those signs may be known on any latitude and the Charkhanda is also to be known for it.
On the equator the rising period of the signs is counted when the Saayana Sun is on the zero degree of Aries. The rising period of these signs is given in'Asu'
6 Asus = 1 Pala 1 Asu or Pran = 10 Vipala = 4 Seconds.
For the sake of convenience the rising period is given in palas.
Lankodaya: The rising period of the signs does not change on the equator because the Charkhanda there is zero. The rising period of the signs there is called Lankodaya. The value of Lankodaya of the signs Aries etc. in order is as follows: 279, 299, 323, 323, 299, 278, 278, 299, 323, 323, 299, and 278
स्फुटोऽर्कः सायन: कार्यो भुक्तभोग्याशंकाश्च ये |
स्वीयोदयगुणा स्त्रिशंभक्ताः कालास्तदाह्वयाः ॥ १४ ॥
अभीष्टनाडीपलतो भोग्यकालान् विशोधयेत् ।
ततश्चाग्निमराशीनां स्वोदयांश्चाथ शेषकम् ॥ १५ ॥
त्रिंशता गुणितं भक्तमशुद्धोदयतः फलम् ।
लवाद्यं सहितं मेषादिकैः शुद्धस्तु राशिभिः ॥ १६ ॥
भुक्ते विधौ भुक्तकालान् पष्टशुद्धेष्टकालतः ।
विशोध्य गतराशीनां स्वोदयास्तत्र शोधयेत् ॥ १७ ॥
लवाद्यं तु फलं शुद्धमशुद्धाजादिराशितः ।
अयनांशविहीनं सत् स्फुटं लग्नं प्रजायते ॥ १८ ।।
षड्राशिसहितं तच्च सप्तमं भवनं मतम् ।
14 18 1/2 Ayanamsha added to spashta surya (Sun's position) is Saayana Surya. The traversed or the remaining degrees etc. of the Saayana Surya are multiplied by the rising value of that sign (the sign in which the Sun is situated) and the resultant figure is divided by 30. The quotient (will be in Palas) is the period traversed (Bhukta Kaala) or the remaining period (Bhogya-Kaala). When the ascendant is found out by means of the to be traversed period (Bhogya Kaala) this period (the to be traversed one) is deducted from the Ghatis and Palas of the Ishta Kaala. From the remainder the rising values (Udayamaanas) of the Aishya signs (the signs ahead of that sign in which there is the Saayana Sun )should be deducted (to the possible point).
When the ascendant is found out by means of the traversed period (Bhukta), the Sawaneshta Kaala is deducted from 60. From the remaining Ghatis and Palas is deducted the traversed period. From the remainder is to be deducted the rising values(Udayamaanas) of the traversed signs or Gata Rashis (the signs before the Saayana Surya). The remainder so arrived at is to be multiplied by 30 and this is divided by Ashuddhodaya-Maana.
The quotient in degrees etc. that is obtained is to be added to the Shuddha Rashi in the Bhogya kind (or to be traversed kind) and is to be deducted in the Bhukta Kind (or traversed kind) from the Ashudh Rashi number. The figure obtained in this way is the Saayana Spashta Lagna. If the Ayanamsha is deducted from it then the figure obtained is Spashta Lagna. If six signs are added to the Spashta Lagna the figure obtained will be the 7th house.
Notes:- In order to know the position of the Lagna or the Ascendant it is necessary to find out the Surya Spashta(or the position of the Sun) at the time of birth. If the Ayanamsha of the date of birth is added to the position of the Sun at the time of birth, the figure obtained is the Saayana Spashta Surya (the position of the Saayana Sun). The Sun along with the Ayanamsha is called Saayana Sun. After this on the basis of the Saayana Surya Spashta at the time of birth, one can find out the traversed, and to be traversed degrees etc.. It is well known that a sign has 30 degrees. In the Surya Spashta the degrees, Kalas (minutes) and Vikalas (seconds) are called the traversed degrees. The traversed degrees deducted from the 30 degrees gives the to be traversed degrees.
It is on the basis of the traversed and to be traversed degrees that we find out the Lagna Spashta(the position of the Ascendant). It is to be remembered here that these traversed and to be traversed degrees are of the Saayana Surya(the Saayana Sun's) because it is the Saayana Sun that is used in getting the Lagna or Ascendant.
From the traversed and to be traversed degrees is found out the traversed or the to be traversed Pala of the time of rising. For this.first of all, the rising time of the signs of the place of birth is tobe known. The rising time of the signs is given in Palas. This is to be found out from the proportion as to how many Palas is the full rising of that sign in the full sign, that is, in 30 degrees and then how many Palas will be there in so many traversed and to be traversed degrees.
| Traversed degrees of the Sun × Swodaya Kaala |
| 30 palas |
or
| To be traversed degrees of the Sun × Swodaya Kaala |
| 30 palas |
It is the Swodaya kaala of that sign which is occupied by the Sun by which these degrees (traversed or to be traversed) are multiplied, and the product is divided by 30 which gives the traversed and to be traversed palas. The summation of the traversed and to be traversed Palas is equal to the Swodaya.
To find out the Ascendant from the to be traversed degrees.
First step : The Surya spashta is added to the Ayanamsha and so Saayana Sun is obtained.
Second step: The traversed and to be traversed degrees of the Sun are found out.
Third step : The to be traversed period of the Sun is found out.
Fourth step: The Ishta Kaala is converted into Palas and from these are deducted the to be traversed palas of the Sun.
Fifth Step: From the remainder after deducting, the Swodaya Palas of the signs which are ahead of the Sun are deducted in direct order that is one after the other, of the Second after of the first, of the 3rd after of the 2nd and so on : The sign the Swodaya Palas of which can not be deducted is called the Ashuddha sign.
Sixth Step : Then it is found out by Mathematics that if the full Swodaya of that Ashuddha sign is so many palas in 30° degrees. then how many degrees will be there in the remaining Palas.
The remaining Palas (The Palas in which the Palas of the Ashuddha sign cannot be deducted × 30 + Swodaya Palas of the Ashuddha sign = degrees etc.
The number of that sign which has been deducted is placed before these degrees and it gives the Saayana Ascendant. If the Ayanamsha is deducted from the Saayana Ascendant it gives the Nirayana Lagna Spashta (position of the Nirayana Ascendant).
To find out the Ascendant through the to be traversed degrees:
| Suppose Palbha | 06 − 34 − 27 |
| The first Charkhanda | 65 − 45 |
| The 2nd Charkhanda | 52 − 36 |
| The 3rd Charkhanda | 21 − 55 |
The rising time (Swodaya maana or Value) of the Signs at the place of birth (Hapur)
| Aries | − Pisces | 212 Palas | − | 15 Vipalas |
| Taurus | − Aquarius | 246 | − | 24 |
| Gemini | − Capricorn | 301 | − | 5 |
| Cancer | − Sagittarius | 344 | − | 55 |
| Leo | − Scorpio | 351 | − | 36 |
| Virgo | − Libra | 343 | − | 45 |
| Nirayana Sun | 1 − 18° − 8' − 22" | |
| Ayanamsha | + | 21° − 46' − 55" |
| The Saayana Sun | 2 − 9° − 55' − 17" |
The Saayana Sun was situated in the sign of Gemini and the traversed degrees of Gemini were = 9° − 55' − 17"
The to be traversed degrees of Gemini =
| 30 − − 0 |
| 9 − 55 − 17 |
| 20° − 04' − 43" |
The Swodaya of the sign of Gemini = 301 Palas and 05 Vipalas.

Degrees of the Sun to be traversed multiplied by the Swodoya Maana of Gemini

= 6045 − 20 − 6 − 35 + 30

| = 201 − 30 − 40 − 13 or 201 − 31 | Palas to be traversed in the Sign of Gemini |
| lshta Kaala = | Ghati | Pala | Vipala | ||
| 44 | − | 32 | − | 20 |
lshta Kaala converted into palas
| 44 × 60 = | 2640 | |||
| + | 32 | − | 20 | |
| 2672 | − | 20 |
| 2672 − 20 | = Palas and Vipalas of lshta Kaala |
| − 201 − 31 | = The to be traversed Palas and Vipalas of the Sun in Gemini |
| 2470 − 49 | |
| − 344 − 55 | The Swodaya Palas etc of Cancer |
| 2125 − 54 | |
| − 351 − 36 | The Swodaya Palas etc of Leo |
| 1774 − 18 | |
| − 343 − 45 | The Swodaya Palas etc of Virgo |
| 1430 − 33 | |
| − 343 − 45 | The Swodaya Palas etc of Libra |
| 1086 − 48 | |
| − 351 − 36 | The Sw odaya Palas etc of Sco rp io |
| 735 − 12 | |
| − 344 − 55 | The Sw odaya Pa las etc of Sagittarius |
| 390 − 17 | |
| − 301 − 5 | The Swodaya Palas etc of Capricorn |
| 89 −12 |
Now the Swodaya Maana of the Sign of Aquarius cannot be deducted. Therefore, the sign of Aquarius is an Ashuddha sign. The sign of Capricorn is a shuddha sign because the Swodaya Palas of this sign are deducted the last time.
The remainder multiplied by 30
| 89 − 12 | |
| × 30 | |
| 2670 − 360 | Here 360 are vipalas |
Which is divided by 60, which gives 6 palas
Therefore the total palas = 2670 + 6 = 2676
2676 multiplied by 60 will give the Vipalas. The Vipalas will be convenient because the Swodaya maana of the sign of Aquarius is in Palas and Vipalas and this should also be converted into one denomination (Vipalas)
Therefore 2676 × 60 = 160560 Vipalas.
The Swodaya Manna of the sign of Aquarius = 246 − 24
Converted into Vipalas = 246 × 60 + 24
= 14760 + 24
= 14784 Vipalas

The Ashuddha Sign is Aquarius, therefore
| 10 − 00 − 00 − 00 | |
| + 10° − 51' − 37" | |
| 10 − 10° − 51' − 37" | Saayana Ascendant |
| 10 − 10° − 51' − 37" |
| (−) | 21° − 46' − 55" | Ayanamsha deducted |
| 9 − 19° − 4' − 42" | Ayanamsha deducted |
To find out the Ascendant from the traversed degrees : In it are used traversed degrees of the Saayana Sun at the time of the birth, the traversed degrees of the Sun are multiplied by the Palas of the rising time of that sign in which the Sun has traversed. The product is multiplied by 30. In this way the traversed period of the Sun will be known. Then the ghatis and palas of the Ishta kaala are deducted from 60 and the remainder is converted into Palas. The palas of the traversed period of the Sun are deducted from the Palas of Ishta Kaala. In reverse order from the sign whose traversed period is deducted (if the palas of the Ishta Kaala are remainder) the Swodaya Palas of the signs are deducted. Thus if the Saayana Sun is of the sign of Gemini, in reverse order from Gemini comes Taurus. So the Swodaya Palas of Taurus will be deducted; then of Aries, then f Pisces. Till the Swodaya Palas may be deducted, these are to be deducted in reverse order of one after the other. The sign whose Swodaya Palas cannot be deducted is called Ashuddha sign. Then by mathematics it will be found that if there are 30° degrees in the Swodaya Palas of the Ashuddha sign, how many degrees, kalas etc. will be there in the remainder palas of the Ishta. The remainder palas of the Ishta are multiplied by 30 and the product is divided by the Swodaya Palas of the Ashuddha sign. The Quotient in degrees, minutes etc. will be traversed degrees etc. of the Ashuddha sign. The sign before the Ashuddha sign will be the sign of the Saayana Ascendant and these covered degrees will be of that sign. This will be the Saayana Ascendant. If the Ayanamsha is deducted from it, Nirayana spashta Ascendant will be obtained. The example given above is used with the medium of the traversed degrees to find out the Lagna spashta (position of the Ascendant)
| Nirayana Surya : | 1 − 18° − 8'− 22" |
| Ayanamsha | + 21° − 46'− 55" |
| 2 − 9° − 55' − 17" |
Therefore the traversed degrees of the sign of Gemini = 9 − 55 − 17
The rising Palas of the sign of Gemini = 301 − 05
| 9 − 55 − 17 |
| × 301 − 05 |
| 45 − 275 − 85 |


= 99 − 34 − 19 − 46 − 50 Palas etc. or
99 − 34 − 20 the traversed degrees of the sign of Gemini. Ishta Kaala = 44 − 32 − 20
60 ghatis Ishta Kaala
| 40 − 00 − 00 | |
| 44 − 32 − 20 | The remaining |
| 15 − 27 − 40 | Ghatis etc. |
These remaining Ghatis, Palas are converted into Palas. Therefore 15 × 60 = 900

Palas vipalas
| 927 | − | 40 | |||
| −99 | − | 34 | − | 20 | The traversed degrees of the sign of Gemini |
| 828 | − | 05 | − | 40 | |
| −246 | − | 24 | − | The Swodaya Palas of Taurus | |
| 581 | − | 41 | − | 40 | |
| −212 | − | 15 | − | 00 | The Swodaya Palas of Aries |
| 369 | − | 26 | − | 40 | |
| 212 | − | 15 | − | 00 | The Swodaya Palas of Pisces |
| 157 | − | 11 | − | 40 | The Swodaya Palas of Pisces |
The Swodaya Palas of Aquarius will not be deducted from the remainder. Therefore the sign of Aquarius is the Ashuddha sign
The remaining Ishta Palas

4716 × 60 = 282960
The rising Palas of Aquarius 246 Palas.
These are also converted into 24 Vipalas.
Vipalas = 246 × 60 + 24 = 14784 Vipalas

= 19 degrees 8 minutes 33 seconds.
It is deducted from the number 11 of the sign of Aquarius:
| 11 − 00 − 00 − 00 | |
| − 19 − 08 − 22 | |
| 10− 10 − 51 − 38 | Saayana Ascendant |
Ayanamsha is deducted from Saayana Ascendant.
| 10 − 10 − 51 − 38 | |
| 21 − 46 − 55 | |
| 9 − 19 − 4 − 43 | Nirayana Ascendant spashta |
स्वेष्टकालान्न संशुद्धयेद् भुक्तंभोग्य यदा तदा ।
त्रिंशता गुणितं स्वेष्टं स्वोदयाप्तं लवादिकम ॥ १९ ॥
यत्तद्धीनं युतं कार्यं कार्य लग्नं स्फुटं भवेत् ।
Verse 19½19-19 1/2 If the traversed or the to be traversed period is not deductible from the Ishta kaala, then the Ishta kaala is multiplied by 30 and divided by Swodaya Palas etc. After dividing, the obtained degrees etc. are respectively deducted and added (-- +) from the spashta Surya (the Sun's position), it will give the spashta lagna (or the position of the Ascendant)
धुरात्रिगतशेषेष्टघटयोरल्पं तदुन्नतम् ॥ २० ॥
नतं दिननिशोरर्द्धंमुन्नतोनं प्रकीर्त्तिम् ।
Verse 20–21½20-21 1/2 The passed ghatis and the remaining ghatis of the day and the night, whichever is less is called the unnata kaala. The unnata kaala when deducted from the half of the day or the half of the night gives the Nata Kaala as a remainder.
नतात्पलीकृतात्पूर्वापरस्माद् भुक्तभोग्यतः ॥ २१ ॥
लङ्कोदयैः साध्यते यल्लग्नं तद्दशमाभिधम् ।
सषड्ये दशमे ज्ञेयं चतुर्थं द्विजसत्तम ॥ २२ ॥
21-22 1/2 The Lagna which is found out through Poorvanata on Lankodaya by means of traversed degrees etc., through the Paschimanat on Lankodaya by means of the to be traversed degrees that is the 10th house. 6 signs added to the 10th House gives the 4th House.
(1) If the Ishta Kaala is that of before the half of the day, then it is Poorvanata that is obtained by deducting the Ishta kaala from the half of the day.
(2) If the Ishta kaala is that of after the half of the day then it is the Pashchimanata that is obtained by deducting the Ishta Kaala from the day duration and by deducting the remainder from the half of the day.
(3) If the Ishta Kaala is that of before midnight, then it is the Pashchimanata that is obtained by deducting the day duration from the Ishta Kaala and by adding the half of the day in the remainder.
(4) If the Ishta Kaala is that of after midnight, then it is the Poorvanata that is obtained by deducting the Ishta kaala from 60 Ghatis and by adding the half of the day in the remainder.
The 10th House is known by means of the to be traversed degrees if it is Pashchimanata, by means of the traversed degrees if it is the Poorvanata on the basis of Lankodaya maana. The Mathematical calcutations are done in the same manner as these are done to find out the Lagna or the Ascendant. The Swodaya is not used in it.
Example to know the 10th House position.
| Ghatis | Palas | Vipalas | |
| Ishta Kaala | 44 | − 32 | − 20 |
| Day Duration : | 34 | − 08 | |
| Night Duration | 25 | − 52 | |
| Half of the night | 12 | − 56 |
| 44 − 32 − 40 | Ishta Kaala | |
| (−) | 34 − 08 | Day Duration |
| 10 − 24 − 20 |
| + | 17 − 04 | Half of the day added |
| 27 − 28 − 20 | Pashchimanata. |
(As the Ishta Kaala is that of before the midnight so Pash chimanata is known by rule no.
| Nirayana Surya Spashta | 1 − 18 − 8 − 22 |
| Ayanamsha added | + 21 − 46 − 55 |
| Saayana Surya (Sun) | 2 − 9° − 55' − 17" |
The traversed degrees of the Saayana Sun in the sign of Gemini = 9° − 55' − 17"
To be traversed degrees are found out
| 30° − 00 − 00 | |
| 09° − 55' − 17" | |
| 20° − 04' − 43" | Degrees to be traversed. |
20° − 04' − 43" × 323 (the Lankodaya maana of Gemini)
| = | 6485 − 23 − 29 | |
| 6485 − 23 − 29 | = 216 − 10 − 46 − 48 | |
| 30 | Palas of the sign of Gemini to be traversed |
| Pashchimanata = | Ghatis | − | Palas | − | Vipalas |
| 27 | − | 28 | − | 20 |
These are converted into palas
| 27 − 28 − 20 |
| × 60 |
| 1620 |
| + 25 − 20 | |
| 1648 − 20 | Palas etc of the pashchimanata |
| 1648 − 20 | Palas etc. of the Pashchimanata |
| − 216 − 11 | To be traversed Palas etc of Gemini |
| 1432 − 09 |
| (−) | 323 | The Lankodayamaana of Cancer |
| 1109 − 09 | ||
| − 299 − 0 | The Lankodayamaana of Leo | |
| 810 − 9 | ||
| (−) | 278 − 00 | The Lankodayamaana of Virgo |
| 532 − 09 | ||
| (−) | 278 − 00 | The Lankodayamaana of Libra |
| 532 − 09 |
Libra is a shuddha sign while Scorpio is an Ashuddha sign.
| 254 − 9 | |
| × 30 | |
| 7620 | |
| + 9 | |
| 7629 | It is divided by the Lankodayamaana of Ashiddha sign. |
7629 ÷ 299 = 25° − 30' − 54" − 10"'
Therefore
| 7 − 0 − 0 − 0 − 0 − 0 | ||
| 25° − 30' − 54" − 10"' | ||
| 7 − 25° − 30' − 54" − 10"' | Saayana 10th House | |
| Ayanamsha | (−) 21 − 46 − 55 | |
| deducted | 7 − 03° − 43' − 59" − 10"' | The 10th House Spashta Nirayana |
The 10th House
| = | 7 − 3° − 43' − 59" | |
| + 6 | Six signs added to it | |
| 1 − 3° − 43' − 59" | gives the 4th house |
लग्नं सुखात् सुखं कामाद् विशोध्य त्रिभिराहरेत् ।
एकांश दिगुणञ्चापि युञ्ज्याल्लग्नचतुर्थयोः ॥ २३ ॥
षड्भावा: सन्धयश्चैवं पूर्वापरयुतेर्दलात् ।
ससन्धयः षडेवं ते भार्धयुक्ताः परेऽपि च ॥ २४ ॥
23-24 The Ascendant is deducted from the 4th House and the 4th House is deducted from the 7th House, both the resultants. are divided by three separately. The first figure arrived at is multiplied by one and two and is added to the Ascendant. The Second figure arrived at is multiplied by one and two and is added to the 4th House. In this way there will be 6 Houses.
The half of the Summation of the former and the latter is called Bhava-Sandhi. In this way by adding 6 signs in the 6 Houses and 6 sandhis, all the other Houses and Sandhis will be known.
| Ascendent = | 9 − 19° − 4' − 42" | |
| + 6 | ||
| 3 − 19° − 4' − 42" |
It will be the 7th House
Forth House−Ascendant3=First Kshepaka(1 − 3° − 43'− 59") − (9 − 19° − 4' − 42")3=3 − 14 − 39 − 173=1 − 4° − 53' − 5" − 40'"
First Kshepaka
First Kshepaka multiplied by 2
= 2 (1 − 4° − 53' − 5" − 40'")
= 2 − 9° − 46' − 11" − 20'"
The Second Kshepaka
=Seventh House − Fourth House3 =(3 − 19° − 4'− 42") − (1 − 3° − 43' − 59")3=2 − 15° − 20'− 43"3
The Second Kshepaka = 0 − 25° − 6' − 54" − 20"'
The Second Kshepaka multiplied by 2
2 (0 − 25° − 6' − 54" − 20"')
= 1 − 20° − 13' − 48" − 40"'
| Ascendant | 9 − 19 − 4 − 42 | |
| + 1 − 4 − 53 − 5 − 40 | First Kshepaka | |
| 10 − 23 − 57 − 47 − 40 | Second House |
| Ascendant | 9 − 19 − 4 − 42 | |
| + 2 − 9 − 46 − 11 − 20 | The First Kshepaka multiplied by 2 | |
| 11 − 28 − 50 − 53 − 20 | The Third House |
| 1 − 3 − 43 − 59 | Fourth House | |
| 0 − 25 − 6 − 54 − 20 | The Second Kshepaka | |
| 1 − 28 − 50 − 53 − 20 | Fifth House | |
| 1 − 3 − 43 − 59 | Fourth House | |
| 1 − 20 − 13 − 48 − 40 | The Second Kshepaka multiplied by 2 | |
| 2 − 23 − 57 − 47 − 40 | Sixth House | |
| 10 − 23 − 57 − 47 − 40 | Second House | |
| + | 6 | + 6 signs |
| 4 − 23 − 57 − 47 − 40 | Eighth House | |
| 11 − 28 − 50 − 53 − 20 | Third House | |
| + | 6 | |
| 5 − 28 − 50 − 53 − 20 | Ninth House | |
| 1 − 28 − 50 − 53 − 20 | Fifth House | |
| + | 6 | |
| 7 − 28 − 50 − 53 − 20 | Eleventh House | |
| 2 − 23 − 57 − 47 − 40 | Sixth House | |
| + | 6 | |
| 8 − 23 − 57 − 47 − 40 | Twelfth House |
Finding out the Sandhis of the House :
Ascendant + Second House2
| 9 − 19 − 4 − 42 |
| + 10 − 23 − 57 − 47 − 40 |
| 20 − 13 − 2 − 29 − 40 ÷ 2 |
= 10 − 6 − 31 − 14 − 50 The Sandhi of the First House
The Sandhis (Conjunctional points of the 2 consecutive House) of the other House should be known in the same manner.