Panchanga Calculation Details

Pancanga (version 3.13) --- Perl version --- February, 2004: by M. YANO and M. FUSHIMI
You can download the source script pancanga3.13 written in Perl language at the pancanga directory of Yano's ftp server.

This panchang calculation curtsy http://www.cc.kyoto-su.ac.jp/
 


(We have fixed a bag on the Julian date of the leap year between 1584 and 1752.)
This program offers a traditional Indian calendar based mainly on the Suuryasiddhaanta.
The Suuryasiddhaanta has a long history. The `original' version is quoted in Varaahamihira's Pancasiddhaantikaa in the mid-6th century. (See Neugebaur-Pingree's translation, Kopenhagen 1970.) The so-called `modern' Suuryasiddhaanta was most popular and influential all over India after about the 10th century. This text, together with the English translation by E. Burgess in 1860 (Journal of the American Oriental Society), has been a good starting point for the students of Indian astronomy. The astronomical constants in the two texts are slightly different. We can distingush the different sets of constants by the option B (with biiija or without biija) in the setting. For the time after AD 1000, the option with bija will fit better.
The later Suuryasiddhhaanta (as well as the Aryabhatiiya) had a strange theory that the size of epicycles slightly changes according as they are in the odd quadrants or in the even quadrants of the deferent. In this programs, however, following the easier method of karaNa texts, we used the mean size of the epicycles, thinking that this would not yield significant difference. Although the planetary positions are expressed to the unit of seconds, such accuacy should not be expected.
In traditional Indian calendar civil days in a half month are named by the current tithi at sunrise. We have given the fraction of tithi at sunrise in the verbose menu so that we can guess the possibility of different dates.
The default time of this program is set to the local time in Ujjain, the ancient center of astronomy, which played the role of Greenwich in the history of Indian calendar. The latitude of Ujjian is 23.2 degrees north and its longitude is 75.8 degrees east from Greenwich. In order to get the sunrise time of any intended locality, you need the latitude and longitude of the place. The difference in latitude can not be neglected, especially near the two solstices. The local latitude can be entered with the optional menu L in the first setting mode. The difference in longitude can slightly affect the time of conjunction and thus it can be one of the causes of one day difference of the date. From this version we added the option O , where the geographical longitude can be entered. Since, however, we do not know to what extent the longitudinal difference of the places (dezaantara) was taken into account in ancient calendar, we can proceed with the default longitude.


In this version we offer the following three menus.
 

T: to find the modern date from the given Indian date.
You can choose Saka samvat or Vikrama samvat. Sometimes you should take care whether a given year is expired (atiita) or current (vartamaana). Expired years are more common. Note that in the Indian Calendar Sewell-Dikshit used current years.
You should also take care whether the naming system is amaanta or puurNimaanta (see below).
The result of this menu is not always correct. (Sometimes difference is one month because of the occurrence of adhimaasa (intercalary month) and, very rarely, ksayamaasa (omitted month). Thus the date can be shifted forward or backward by one month depending on the constant numbers which were used by calendar makers. You should confirm the result of this menu by the next menu L.
 

L: to find the Indian date (in amaanta) from the given modern date in a tabular form. The result is considerably reliable: the occurrences of intercalary months almost always agree with those listed in Sewell-Dikshit's Indian Calendar; only the difference of 1 day (or tithi) is to be admitted because of the different distribution of ksayadina (`omitted day') and/or adhidina (`additional day').
 

V: to get the further items of the pancanga (`five elements') day by day. We have added the date in the traditional solar calendar. There are regional varieties concerning the beginning of a solar month. Our method is this: When a samkraanti (sun's entry in a new nirayana zodiacal sign) takes place before the midnight of a day, the first day of the solar month is on that day. When it takes place after the midnight, the first day of the solar month falls on the next day. For the sake of convenience we have shown the date and time of samkraanti.
The ayanaamsa (difference of nir-ayaNa longitude and sa-ayana longitude due to the precession of equinoxes) is shown in this menu. According to the Suuryasiddhaanta the rate of precession is 54 seconds per year and the difference of the two longitudes was zero in A.D. 499. The modern value is about 50.29 seconds per year. This means that the ayanaamsa of this program is slightly different from that computed by the modern method.
We are not always consistent in Romanizing Sanskrit words. The Sanskrit names of Jovian year, yoga and karaNa are expressed in the Kyoto-Harvard transliteration system for network communication. Those who are not familiar with this sytem is adviced to see the table of the Kyoto-Harvard System.


NOTICE: Remember that there are two different systems of naming the month, i.e. amaanta (`new moon ending') and puurnimaanta (`full moon ending'). In the bright half month (sukla-paksa) nothing is different, but in the dark half month (krsna-paksa), the puurnimanta month name is ahead of the amaanta month name by one.
In this program the beginning of the Indian year is set for Caitra month sukla-paksa 1.
One can use this program for the B.C. years with negative numbers, for example, -57 = B.C. 58. But do not forget that the text on which this program is based belongs to the time after about A.D. 500.
From this version we have added the Julian date for the period from October 15, 1582 to September 13, 1752 in the menus list and verbose.
The copyright of this program belongs to the two authors. One can use this for the purpose of dating manuscripts, inscriptions etc. easily with a certain degrees of reliability. But we are not responsibile for any incovenience which might be caused by using this program. Suggestions for improvements are welcome.


If you have any questions, please contact:
M.YANO (for Indian astronomy): [email protected]
M.FUSHIMI (for programming): [email protected]


This version was made possible by the Grant in Aid of the Ministry of Education, Science, Sports and Culture of the Japanese Government.


Last modified: Fri Jun 11 19:34:58 JST 2004  For updated information click here