NKPA = B + [T* P + (T*T * A)]/ 3600 where,
B = Base = 22 + 1335.7 / 3600 = 22:22:15.7 @ 1 Jan 1900, 0h GMT T = Y-1900, Y= Calendar year for which ayanamsa is required P = 50.2388475 (Newcomb’s annual precession rate)
A = 0.000111 sec per year (Adjustment rate of the annual precession rate) For Jan 1, 1963 of Example Chart 1, the NKPA is
= 22:22:15.7 + [63 x 50.2388475 + (63 x 63 x 0.000111)] = 22:22:15.7 + 00:52:45.5 = 23:15:01.2
For May 15, approximately (75/360) x 50 = 18.7 sec (2m:15d = 75d)
NKPA for May 15, 1963 = 23:15:01.2 + 18.7 = 23:15:20 (same as per KPAstro 3.0) 6. By using the original base for April 15, 1900, i.e.
B = Base = 22 + 1350 / 3600 = 22:22:30 @ 15 Apr 1900, 0h GMT For Apr 15, 1963 of Example Chart 1, the NKPA is
= 22:22:30 + [63 x 50.2388475 + (63 x 63 x 0.000111)] = 22:22:30 + 00:52:45.5 = 23:13:15.5
For May 15, approximately (30/360) x 50 = 4.2 sec (30d from Apr 15 to May 15) NKPA for May 15, 1963 = 23:13:15.5 + 4.2 = 23:15:20 (same as per KPAstro 3.0)
Birth Data and Some Confusion
7. The following source and links are helpful to find the birth data and biography:
astroDatabank 4.0 (paid SW of data & bio) http://en.wikipedia.org (biography) http://www.astrodatabank.com http://www.astropro.com http://www.astrolodge.co.uk/astro/info/astrodata.htm http://cura.free.fr/gauq/17archg.html http://www.khaldea.com http://www.dominantstar.com/astro02.htm http://www.kozmikhoroscopes.com/celeb1.htm http://family.astrology.com/famousfamiliesIndex.html? http://www.astrologyweekly.com/natal-charts/celebrity.php http://www.astrotheme.fr/en/celebrites
8. It may cause some confusion that the AstroDatabank (ADB) and the folks at ACS Atlas (the world’s experts in time changes) subtract 1 from the time zone number for daylight saving time (DST). For example, George W Bush, July 6, 1946, 07:26 AM EDT (+4:00), New Haven, CT, USA, 41 N 18 / 72 W 55,TZ number is (+4:00), after subtracting 1h for DST from the original TZ number 5. The same is in http://www.astro.com as ‘Time Zone: 4h west, Daylight Saving’. Thus the time zone 5 with a DST is the same as TZ number 4 in ADB. For Tony Blair, May 06, 1953, 06:10 BST (-1:00), Edinburgh, Scotland, 55N57, 3W13, TZ number is (-1:00) after subtracting 1 for summer time from GMT TZ zero. Another difference in the Eastern practice is that such TZ (+4:00), 4h West, is shown by (- 4), and (-1), 1h East
as (+1). (ACS= Astro Communications Service; EDT= Eastern Daylight Time and EST is used for other time; TZ number 5 is used for EST and 4 for EDT; BST= British Summer Time)
9. The best way is to compare the calculated Ascendant position with the one given by the data source or to check the GMT and Sidereal Time from http://www.astro.com by entering the birth details. KPAstro 3.0 (http://www.kpastrosystem.com) with the built-in ACS World Atlas automatically enter longitude, latitude, time zone, and daylight savings of over 2,60,000 cities.
10. Another point is the variation in the latitude and longitude of big cities like Delhi, which is found as 28N40, 77E13 by Astrodienst, Astro-Kundli, Prashara Light 6.1 and Atlas of the World (Rand McNally, Masterpiece Edition, 1993, US); 28N40, 77E14 for Chandni Chowk by KPAstro 3.0; 28N39, 77E13 by Astraura, Astro 3 and KPAstro 3.0 for Station; 28N36, 77E12 by J Hora; and 28° 38′ 07.11″ N, 77° 13′ 29.86″ E by Google Earth. In such big cities, it is to take the particular locality concerned from the available sources like a few hundred localities of Delhi in KPAstro 3.0 built-in Atlas or Google Earth which is free to download. For example, Google Earth shows 28° 38′ 47.02″ N, 77° 10′ 21.84″ E for particular Rajendra Nagar location and for this locality KPAstro indicates 28N39, 77E11. The place of casting the Example Chart 2 (Horary) is Ahmedabad (LG Hospital), 23N00, 72E36 and Google Earth gives 22° 59′ 51.51″ N, 72° 36′ 07.22″ E for LG Municipal General Hospital.
11. J Hora shows one day earlier weekday as ‘Vedic day’ for TOB before sunrise as per the Vedic or Hindu day, from sunrise to next sunrise. For example, Atal Bihari Vajpayee, Dec 25, 1924, 5:00 AM IST, Gwalior, 26N14, 78E10, as TOB was before sunrise, J Hora indicates Vedic weekday ‘Wednesday’ for DOB Dec 25, 1924. KPAstro 3.0 shows the calendar weekday (from midnight to next midnight) ‘Thursday’ but the Hindu day concept is applied in the KP analysis like KPDP matching for marriage.
Free Astraura
http://www.astraura.org OR http://astraura.tripod.com/
12. It is easy for beginners to cast a KP chart and to find the Sign, Star, Sub and Sub-Sub lords, significators (KP pointers) and the dasa up to Sookshma level at the Astraura astrology free on-line. Cast your Hindu Vedic Horoscope is for a natal chart and Cast KP Horary Chart is for a Horary chart (1-249) or (1-1249).
13. It has a built-in longitude and latitude finder (Know Longitudes / Latitudes of Places (Atlas) and also the direct links to the mostly used atlas query http://www.astro.com and the TZ finder (Know Time Zone of places) http://www.timezoneconverter.com/cgi-bin/tzc.tzc.
Other helpful links are as follows:
http://www.calculatorcat.com/latitude_longitude.phtml http://www.wikimapia.org/
http://www.multimap.com/maps/ www.timeanddate.com
14. In the calculation of the Example Chart 2 [from ‘KP for Beginners- Part 2’, Horary no. 105 (1-249), 10:04:48 AM IST, Jan 5, 2008, Ahmedabad (LG Hospital), 23N00, 72E36], the lower difference of 26
sec between the Old KPA 23:52:17 used by the Astraura and the New KPA 23:52:43 (provided in ‘KP for Beginners- Part 1’) is subtracted from the calculated positions of cusps and planets to obtain the positions as per NKPA. The OKPA is a default setting and Geocentric latitude is available as an option.
Free Raichur’s Demo
http://groups.yahoo.com/group/k_p_system/, files,
FREEHOR.EXE, FREE SW FOR CASTING CHARTS
15. A KP natal or Horary chart (1-249) can be calculated using the NKPA. The star, sub, sub-sub lords and the balance of dasa at birth are provided, and the dasa periods can be obtained by manual calculation or running the Astraura or JHora.
16. It is to note that the cuspal positions given by this SW are for the Geocentric latitude of birth palace by converting the Geographic latitude to Geocentric one.
Free J Hora
http://www.vedicastrologer.org/jh OR http://www.VedicAstrologer.org/jh
17. A comprehensive atlas and time zone finder is embedded in the full version of this SW which is free to download from the above link. Under the ‘Preferences’ window on top of the screen, it is to choose ‘Calculation’, then ‘Ayanamsa’, among them ‘KP’, and then to run the program for the first round calculation after entering the birth details. By looking at the old KPA used by the J Hora, it is adjustable to the New KPA by going back to the ‘Ayanamsa’ option and choosing the ‘Custom’ (user define). For Example Chart 1 (form ‘KP for Beginners- Part 1’, May 15, 1963, 12:05 PM IST, Ahmedabad, 23N02, 72E37), the ‘lower’ difference of 5 sec between NKPA 23:15:20 and OKPA 23:15:15, is to ‘subtract’ from the difference of 5m3s from Lahiri Ayanamsa to get the Custom NKPA 23:15:20. For the Example Chart 2 (as mentioned in point 14), the ‘higher’ difference of 26 sec between the OKPA 23:53:09 and NKPA 23:52:43 is to ‘add’ to the difference from Lahiri Ayanamsa, 5m8s. Then it is to run the program again to obtain the positions as per NKPA. At the bottom of the screen, the ‘Houses’ window gives the KP cusps by pressing first at the left and then right side of the mouse to choose Placidus house system, and then the ‘KP’ window provides the Stl-Sbl-Ssl of the cusps and planets only after getting the KP cusps. To find the Vimshottari sub dasas, it is to go to the ‘Dasa’ window on top of the screen and then to choose 365 d/y option.
18. To cast a Horary chart (1-249), it is first to enter the Horary data, and then to go to ‘Miscellany’ on top of the screen, then Prasana (Horary) on bottom of the screen, after that to enter KP Horary number and to choose the ‘Prasna lagna derived from no. chosen’. For display it is to use ‘Basic’ window on top and ‘Key Information’ window on bottom of the screen. To get the KP cusps and the Stl-Sbl-Ssl, it is to go to ‘Houses” and then ‘KP’ windows as explained above. 1 or 4 or 5 year Vimshottari dasa for annual or oath chart can be calculated there but it may not be so easy for KP beginners.
Free Astrodienst
http://www.astro.com
19. The accurate (Sayana) tropical chart with high precision of Swiss ephemeris can be calculated online by Astrodienst, which is also the most commonly used atlas query and time zone finder. The ‘Western geocentric (tropical)’ or Sayana chart and Placidus house system are the default settings and the ‘Hindu/Lahiri geocentric (sideraeal)’ or Nirayana chart using Lahiri Ayanamsa is available as an option. 20. By subtracting the NKPA from the calculated Sayana positions, the Nirayana KP chart, exactly the same as given by KPAstro 3.0, can be obtained. The sign, star and sub lords can be found from Table 1 of Star-Lord and Sub-Lord or any such table available in the KP literature or the link given below, and the dasa can be calculated manually or by running the Astraura or J Hora for the calculated Moon position by Astrodienst.
http://groups.yahoo.com/group/srijagannath/, Files
Astrology Tools, Nakshatra lords, Sub and Sub Sub finder.xls
Table 1: Star-Lord and Sub-Lord
Ar/Le/Sg Ta/Vi/Cp Ge/Li/Aq Cn/Sc/Pi
1 2 3 4
1 00-46-40 Ke-Ke 01-13-20 Su-Ra 01-53-20 Ma-Me 00-33-20 Ju -Mo 2 03-00-00 Ve 03-00-00 Ju 02-40-00 Ke 01-20-00 Ma 3 03-40-00 Su 05-06-40 Sa 04-53-20 Ve 03-20-00 Ra 4 04-46-40 Mo 07-00-00 Me 05-33-20 Su 05-26-40 Sa-Sa 5 05-33-20 Ma 07-46-40 Ke 06-40-00 Mo 07-20-00 Me 6 07-33-20 Ra 10-00-00 Ve 08-40-00 Ra-Ra 08-06-40 Ke 7 09-20-00 Ju 11-06-40 Mo-Mo 10-26-40 Ju 10-20-00 Ve 8 11-26-40 Sa 11-53-20 Ma 12-33-20 Sa 11-00-00 Su 9 13-20-00 Me 13-53-20 Ra 14-26-40 Me 12-06-40 Mo 10 15-33-20 Ve-Ve 15-40-00 Ju 15-13-20 Ke 12-53-20 Ma 11 16-13-20 Su 17-46-40 Sa 17-26-40 Ve 14-53-20 Ra 12 17-20-00 Mo 19-40-00 Me 18-06-40 Su 16-40-00 Ju 13 18-06-40 Ma 20-26-40 Ke 19-13-20 Mo 18-33-20 Me-Me 14 20-06-40 Ra 22-40-00 Ve 20-00-00 Ma 19-20-00 Ke 15 21-53-20 Ju 23-20-00 Su 21-46-40 Ju-Ju 21-33-20 Ve 16 24-00-00 Sa 24-06-40 Ma-Ma 23-53-20 Sa 22-13-20 Su 17 25-53-20 Me 26-06-40 Ra 25-46-20 Me 23-20-00 Mo 18 26-40-00 Ke 27-53-20 Ju 26-33-20 Ke 24-06-40 Ma 19 27-20-00 Su-Su 30-00-00 Sa 28-46-40 Ve 26-06-40 Ra 20 28-26-40 Mo 29-26-40 Su 27-53-20 Ju 21 29-13-20 Ma 30-00-00 Mo 30-00-00 Sa 22 30-00-00 Ra
21. For example, in the USA (Silby) chart, the mostly voted by astrologers through rectification, July 4, 1776, 17:10 LMT (+5:00:40) (22:10:40UT), Philadelphia, PA, 39N57, 75W10, Astrodienst gives Sid Time
12:03:52, Sayana values of Asc 12Sg21:17 and Moon 27Aq10:17; NKPA for Jan 1, 1776 is, 1900-1776 = - 124; 20:22:15.7 + [- (124 x 50.2388475) + (124 x 124 x 0.000111)] = 20:22:15.7 -1:43:47.9 = 20:38:27.8; For July 4, approximately (184/360) x 50 = 25.5 sec; NKPA for July 4, 1776 is 20:38:27.8 + 25.5 = 20:38:53. In Nirayana values by NKPA, Asc is 21Sc42:23 and Moon 6Aq31:24. By running this chart on J Hora for the same Moon position by adjusting the NKPA, it gives Mars Dasa Balance at birth of 0y:0m:28d and the first circle of Vimshottari dasa ending Jan 31, 1889, and the second circle of Vimshottari dasa ending Aug 1, 2009 is also readily available there. Moon Dasa is from 01-08-1999 to 31-07-2009, Mo-Ve DB from 01-06-2007 to 29-01-2009, Mo-Ve-Ju DBA from 05-04-2008 to 25-06- 2008 and Mo-Ve-Ju-Ve DBAS from15-05-2008 to 29-05-2008.
Calculation of Vimshottari Dasa
a) Dasa Balance at Birth
22. Out of total 120 years in Vimshottari dasa, the shares are given 7y to Ketu, 20y to Venus, 6y to Sun, 10y to Moon, 7y to Mars, 18y to Rahu, 16y to Jupiter 16, 19y to Saturn and 17y to Mercury. The Dasa balance at birth (DBB) can be calculated as follows:
DBB= (Dasa yr of planet concerned x Remaining part of Moon’s nakshatra)/ 13°20′
23. In the Example Chart 1, Moon 14Cap38:56 is in the nakshatra of Sravana ruled by Moon and the remaining part to the end of nakshatra 23Cap20* is 8°41′4″,i.e. 23Cap20 minus 14Cap38:56. (*from Table 19 of Subs in ‘KP for Beginners- Part 2’)
DBB= (10 x 8°41′4″)/ 13°20 = 10(8+41/60+4/3600)/ (13+20/60) = 6Y:6M:5D (Moon)
24. The difference of 1 min in the Moon position will make a difference in the dasa period from 2.7 days for Sun dasa balance at birth to 9.0 days for Venus dasa balance at birth. For the dasa period longer than 120 years, the next circle of the Vimshottari dasa is to be applied and such dasa circle is readily available in the J Hora as explained in the USA chart. The following links are helpful in calculation of dasa manually.
http://groups.yahoo.com/group/vedic-astrology/, Files Vimshottari dasha of planets.zip
http://www.hinduastrology.com/learnastrology/dasha.asp OR http://www.futurepointindia.com/learn/dasha.asp
b) Bhukti, Antara, Sookshma
25. The above shares to the planets hold the same proportion in all dasa periods, Dasha, Bhukti, Antara, Sookshma (DBAS) and so on, giving --
Bhukti = Dasha period (Bhukti /120); Antara = D (B/120) (Anthara /120);
Ven-Sat DB = 20 (19/120)= 3.166667= 3y + 0.166667x12=3y:2m
Ven-Satr-Jup DBA=20 (19/120)(16/120)= 0.42222y x 12= 5m:0.06666x30d= 5m:2d Ven-Jup-Rahu-Sat DBAS = 20(16/120)(18/120)(19/120)= 0.063333yx 12x30= 23d.
Observation
26. As found in the several previous comparisons of SW results, there is not much significant differences in the commonly used KP SWs to change the sub-lords or even sub-sub-lords, consequently the results of KP analysis, which is mainly based on only up to the sub-lord level, except in the border line cases where even one second can matter. For instance, if 1st cusp of the Horary chart for no 105 were taken as 149-13-19, then the Sgl-Stl-Sbl-Sssl would be Sa-Su-Ma-Mo in place of Sa-Su-Ra-Ra for 149-13-20.
27. The choice of KP SW depends on accuracy of cuspal and planetary positions, easiness and mobility in operation and availability of a variety of well done KP related features interested by the user. In research work, the accuracy does matter especially in the calculation of old charts more than one hundred years backward and a built-in ACS Atlas will be vary helpful.
TABLES OF CALCULATED RESULTS BY SWs
Table 2: Comparison of the Cuspal Positions of Example Chart 1 (Natal)
Cp KPAstro3.0 Astrodienst Raichur* Jyotishya Deepika Astro- Kundli
Astraura JHora Leo Gold
1 2 3 4 5 6 7 8 1 114-41-33 114-39-18 114-41-32 114-41-49 114-41-32 114-41-33 114-41-46 2 140-54-30 140-54-00 140-54-29 140-54-47 140-54-28 140-54-31 140-54-44 3 170-42-46 170-43-16 170-42-45 170-43-02 170-42-44 170-42-46 170-43-01 4 202-51-02 202-51-11 202-51-01 202-51-18 202-51-01 202-51-02 202-51-19 5 234-52-06 234-50-55 234-52-04 234-52-22 234-52-05 234-52-06 234-52-21 6 265-28-12 265-25-55 265-28-10 265-28-28 265-28-10 265-28-12 265-28-26 7 294-41-33 294-39-18 294-41-32 294-41-49 294-41-32 294-41-33 294-41-46 8 320-54-30 320-54-00 320-54-29 320-54-47 320-54-28 320-54-31 320-54-44 9 350-42-46 350-43-16 350-42-45 350-43-02 350-42-44 350-42-46 350-43-01 10 022-51-02 022-51-11 022-51-01 022-51-18 022-51-01 022-51-02 022-51-19 11 054-52-06 054-50-55 054-52-04 054-52-22 054-52-05 054-52-06 054-52-21 12 085-28-12 085-25-55 085-28-10 085-28-28 085-28-10 085-28-12 085-28-26 Note: * using Geocentric latitude and other SWs using Geographic latitude as default
1) KPAstro 3.0’s NKPA 23:15:20 is taken as a base Ayanamsa for comparison of positions. It is adjusted for 1 sec difference for Raichur’s and Jyotishya Deepika 2.0 (http://www.krishnamurtipaddhati.com), 25 sec difference for Astro-Kundli (Courtesy of Swami RCS), 54 sec difference for Astraura, 5 sec difference for JHora and 16 sec difference for Leo Gold (http://www.leogold.com) (Courtesy of Vasudhakar Goswami).
2) Significantly different 1/7 & 6/12 cuspal positions of Col. 3 due to the use of Geocentric latitude have the same Sgl-Stl-Sbl-Ssl in Table 5, Col. 2 as other SWs using the Geographic latitude.
Table 3: Comparison of the Cuspal Positions of
Example Chart 1 (Natal) (Geocentric Latitude)
Cp KPAstro3.0 Raichur* Jyotishya Deepika Astraura 1 2 3 4 5 1 114-39-08 114-39-18 114-39-07 114-39-07 2 140-53-49 140-54-00 140-53-48 140-53-47 3 170-43-05 170-43-16 170-43-04 170-43-03 4 202-51-02 202-51-11 202-51-01 202-51-01 5 234-50-47 234-50-55 234-50-46 234-50-46 6 265-25-47 265-25-55 265-25-45 265-25-45 7 294-39-08 294-39-18 294-39-07 294-39-07 8 320-53-49 320-54-00 320-53-48 320-53-47 9 350-43-05 350-43-16 350-43-04 350-43-03 10 022-51-02 022-51-11 022-51-01 022-51-01 11 054-50-47 054-50-55 054-50-46 054-50-46 12 085-25-47 085-25-55 085-25-45 085-25-45 Note: * the same as in Table 2, Col. 3
1) The difference in KPA is adjusted as shown under Table 2.
2) Almost the same by Raichur’s and other SWs using the Geocentric latitude
3) Generally the cuspal positions by Geocentric latitude are lower than the ones by Geographic latitude but they may be sometimes higher or equal to the positions by Geographic latitude as found for the 3/9 and 4/10 cusps in Table 2 & 3.
Table 4: Comparison of the Calculated Planetary Positions of Example Chart 1 (Natal)
Plt KPAstro3.0 Astrodiens t Raichur Jyotishya Deepika Astro- Kundli
Astraura J Hora Leo Gold 1 2 3 4 5 6 7 8 Su 030-28-04 030-28-31 030-28-03 030-28-20 030-28-04 030-28-25 030-28-01 Mo 284-38-56 284-39-15 284-38-55 284-39-12 284-38-56 284-38-58 284-38-19 Ma 117-47-23 117-47-44 117-47-21 117-47-38 117-47-22 117-47-35 117-47-20 MeR 034-50-17 034-50-39 034-50-15 034-50-32 034-50-16 034-50-10 034-50-18 Ju 345-59-48 346-00-24 345-59-47 346-00-04 345-59-48 346-00-12 345-59-47 Ve 002-10-37 002-11-03 002-10-36 002-10-53 002-10-37 002-11-13 002-10-33 Sa 299-33-23 299-34-44 299-33-21 299-33-38 299-33-22 299-33-29 299-33-21 Ra 090-19-05 090-19-19 090-19-03 090-19-20 090-19-18 090-19-05 090-19-10 Ke 270-19-05 270-19-19 270-19-03 270-19-20 270-19-18 270-19-05 270-19-10 Ur 127-54-27 127-54-16 127-54-26 127-54-43 127-54-27 127-54-26 NeR 200-46-46 200-46-02 200-46-45 200-47-01 200-46-45 200-46-46 PlR 136-17-32 136-16-30 136-17-31 136-17-48 136-17-31 136-17-30
Note:
1) The difference in KPAs is adjusted as shown under Table 2.
2) The Sgl-Stl-Sbl-Ssl of planets in Table 5, Col. 5 are found the same for all SWs.
Table 5: Sgl-Stl-Sbl-Ssl of the cusps and Planets of Example Chart 1 & 2 as per KPAstro 3.0