Chapter-12 Celestial Bodies and Indian Calendar
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Aryabha~A and Axial Rotation of Earth 2
GENERAL I ARTICLE Aryabha~a and Axial Rotation of Earth 2. Naksatra Dina (The Sidereal Day) Amartya Kumar Dutta In the first part of this series, we discussed the celestial sphere and .Aryabhata's principle of ax ial rotation; in this part we shall discuss in de tail the concept of sidereal day and then men tion .Aryabhata's computations on the duration of sidereal day. Amartya Kumar Dutta is in the Stat-Math Unit of It. is unfortunate that science students in India, by and Indian Statisticallnstiutte, large, do not have technical awareness regarding the re Kolkata. His research searches of ancient Indian scientists. Thus, although interest is in commutative there are plenty of articles on Aryabhata, their contents algebra. have remained confined to research journals and schol arly texts without percolating into the general cultural Part 1. Aryabhata and Axial Ro consciousness. tation of Earth - Khagola (The Celestial Spherel. Resonance, The original statements of Aryabhata on axial rot.at.ion Vol.ll, No.3, pp.51-68, 2006. and sidereal day are spread over 4 verses out of his 85 verses on astronomy. It. will not be possible to make a se rious analysis of the entire range of Aryabhat.a's work in a few pages. We hope that the preliminary exposure will encourage youngsters to acquire some general know ledge of astronomy and make a deeper study of A.ryabhata's work using existing literatures and their own indepen dent judgements. Rising and Setting of Stars Recall that, due to rotation of the Earth, the so-called fixed stars appear to execute a daily revolut.ion around t.he Earth. -
The Indian Luni-Solar Calendar and the Concept of Adhik-Maas
Volume -3, Issue-3, July 2013 The Indian Luni-Solar Calendar and the giving rise to alternative periods of light and darkness. All human and animal life has evolved accordingly, Concept of Adhik-Maas (Extra-Month) keeping awake during the day-light but sleeping through the dark nights. Even plants follow a daily rhythm. Of Introduction: course some crafty beings have turned nocturnal to take The Hindu calendar is basically a lunar calendar and is advantage of the darkness, e.g., the beasts of prey, blood– based on the cycles of the Moon. In a purely lunar sucker mosquitoes, thieves and burglars, and of course calendar - like the Islamic calendar - months move astronomers. forward by about 11 days every solar year. But the Hindu calendar, which is actually luni-solar, tries to fit together The next natural clock in terms of importance is the the cycle of lunar months and the solar year in a single revolution of the Earth around the Sun. Early humans framework, by adding adhik-maas every 2-3 years. The noticed that over a certain period of time, the seasons concept of Adhik-Maas is unique to the traditional Hindu changed, following a fixed pattern. Near the tropics - for lunar calendars. For example, in 2012 calendar, there instance, over most of India - the hot summer gives way were 13 months with an Adhik-Maas falling between to rain, which in turn is followed by a cool winter. th th August 18 and September 16 . Further away from the equator, there were four distinct seasons - spring, summer, autumn, winter. -
High Court of Delhi
O\lIlT 0". HIGH COURT OF DELHI v ¢ CALENDAR FOR 2016 ~ ..' SAKA 1937-38 SAKA 1937 CLOSES WITH 2d'MARc ~ JANUARY FEBRUARY MARCH APRIL Pausa 11 to Magha 11 Magha 12 to Phalguna 10 Phalguna 11 to Chaitra 11 Chaitra 12 to Vaisakha 10 SUN 31 3 10 17 24 7 14 21 28 6 13 20 27 3 10 17 24 MON 4 11 18 25 1 8 15 22 29 . 14 21 28 4 18 25 TUE 5 12 19 • 2 9 16 23 1 8 15 22 29 5 19 26 WED 6 13 20 27 3 10 17 24 2 9 16 23 30 6 . 27 THU 7 14 21 28 4 11 18 25 3 1017 . 31 7 14 21 28 FRI 8 15 22 29 5 12 19 26 4 11 18 • 1 8 22 29 SAT •2 9 . 23 30 6 13 20 27 5 12 19 • 2 9 23 30 MAY JUNE JULY AUGUST Vaisakha 11 to Jayaistha 10 Jayaistha 11 to Asadha 9 Asadha 10 to Shravana 9 Shravana 10 to Bhadra 9 SUN 1 8 15 22 29 5 12 19 26 31 3 10 17 24 7 14 21 28 MON 2 9 16 23 30 11 18 25 1 8 22 29 TUE 3 10 17 24 31 • • 12 19 26 2 9 16 23 30 WED 4 11 18 25 1 • • 13 20 27 3 10 17 24 31 THU 5 12 19 26 2 • • 7 14 21 28 4 11 FRI 6 13 20 27 3 • • 8 15 22 29 5 12 19 26 SAT 7 14 . -
Aryabhatiya with English Commentary
ARYABHATIYA OF ARYABHATA Critically edited with Introduction, English Translation. Notes, Comments and Indexes By KRIPA SHANKAR SHUKLA Deptt. of Mathematics and Astronomy University of Lucknow in collaboration with K. V. SARMA Studies V. V. B. Institute of Sanskrit and Indological Panjab University INDIAN NATIONAL SCIENCE ACADEMY NEW DELHI 1 Published for THE NATIONAL COMMISSION FOR THE COMPILATION OF HISTORY OF SCIENCES IN INDIA by The Indian National Science Academy Bahadur Shah Zafar Marg, New Delhi— © Indian National Science Academy 1976 Rs. 21.50 (in India) $ 7.00 ; £ 2.75 (outside India) EDITORIAL COMMITTEE Chairman : F. C. Auluck Secretary : B. V. Subbarayappa Member : R. S. Sharma Editors : K. S. Shukla and K. V. Sarma Printed in India At the Vishveshvaranand Vedic Research Institute Press Sadhu Ashram, Hosbiarpur (Pb.) CONTENTS Page FOREWORD iii INTRODUCTION xvii 1. Aryabhata— The author xvii 2. His place xvii 1. Kusumapura xvii 2. Asmaka xix 3. His time xix 4. His pupils xxii 5. Aryabhata's works xxiii 6. The Aryabhatiya xxiii 1. Its contents xxiii 2. A collection of two compositions xxv 3. A work of the Brahma school xxvi 4. Its notable features xxvii 1. The alphabetical system of numeral notation xxvii 2. Circumference-diameter ratio, viz., tz xxviii table of sine-differences xxviii . 3. The 4. Formula for sin 0, when 6>rc/2 xxviii 5. Solution of indeterminate equations xxviii 6. Theory of the Earth's rotation xxix 7. The astronomical parameters xxix 8. Time and divisions of time xxix 9. Theory of planetary motion xxxi - 10. Innovations in planetary computation xxxiii 11. -
Circular No. 32155
LOK SABHA SECRETARIAT . (ADMINISTRATION BRANCH-I) PARLIAMENT HOUSE ANNEXE NEW DELHl-110 001. No.32155 Dated the 24th July, 2020 Shravana 2, 1942 (Saka). CIRCULAR Subject: Holidays during the year 2021. As specified by the Government of India; Ministry of Personnel, Public .Grievances and Pensions (Department of Personnel and Training) vide their OM F.No .. 12/9/2020-JC:A-2 dated 10.06.2020, Lok Sabha Secretariat will observe holidays during the year 2021 as indicated in the Annexure-1 to this Circular. In addition, each employee will also be allowed to avail himself/herself of any two holidays to be chosen by him/her out of the list of Restricted Holidays as indicated in Annexure-11. 2. These Holidays (Compulsory and Restricted) will be observed subject to the exigencies of work and arrangements being made for the disposal of urgent work. ~ (SREEKANTH S.) DEPUTY SECRET ARY [F .No.10/02/2020/AN-1] [LAFEAS-AN 1020/2/2020-AN··I] To All Officers. All Branches. \, -(2)- ANNEXURE-1 LIST OF HOLIDAYS DURING THE YEAR 2021 FOR ADMINISTRATIVE OFFICES OF CENTRAL GOVERNMENT LOCATED AT DELHI / NEW DELHI S.No. Holiday Date Saka Date Day 1942 SAKA ERA 1. Republic Day January 26 Magha 06 Tuesday 2. Holi March 29 Chaitra 08 Monday 1943 Saka Era 3. Good Friday April 02 Chaitra 12 Friday 4. Ram Navami April 21 Vaisakha 01 Wednesday 5. Mahavir Jayanti ~pril 25 Vaisakha 05 Sunday 6. d-ul-Fitr May 14 Vaisakha 24 Friday 7. Budha Pumima May 26 Jyaishtha 05 Wednesday 8. d-ul-Zuha (Bakrid) lluly 21 Ashadha 30 Wednesday 9. -
EMINENT INDIAN SCIENTIST VENKATESH BAPUJI KETKAR Author
EMINENT INDIAN SCIENTIST VENKATESH BAPUJI KETKAR EMINENT INDIAN SCIENTIST VENKATESH BAPUJI KETKAR Author Siddhi Nitin Mahajan Edited by Ms. Sangeeta Abhayankar Dr. Arvind C. Ranade Content Coordinator, VVM National Convenor, VVM ©Vijnana Bharati September, 2020 First Edition, September 2020 Published by Vijnana Bharati, Head Quarter, Delhi Author Ms. Siddhi Nitin Mahajan Editorial Team Dr. Arvind C. Ranade National Convenor, VVM Ms. Sangeeta Abhayankar Content Coordinator, VVM All rights reserved. No part of the publication may be reproduced in whole or in part, or stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical photocopying, recording, or otherwise without the written permission of the publisher. For information regarding permission, write to: Vijnana Bharati A-4, First Floor, Gulmohar Park, August Kranti Marg, New Delhi- 110049 Cover & Book Design Ms. Babita Rani CONTENTS From Editor's Desk i-ii Preface iii-iv 1 Introduction 1-3 2 Brief history of Indian Astronomy 4-6 3 The family legacy 7-8 4 Venkatesh Ketkar : Early Life and Career 9-10 5 Ketkar and his Almanac Research 11-15 6 Tilak, Ketkar and Pañcānga 16-17 7 Citrā Nakshatra Paksha and Ketaki Pañcānga 18-20 8 Ketkar’s Prediction about Existence of Pluto 21-22 9 Other Research by Ketkar 23-24 10 Multi-talented Ketkar 25 11 Review of Ketkar’s Literature 26-29 12 Some Memories 30-31 13 Final Journey 32-34 References 35 From Editor’s Desk From time antiquity, India possesses a great legacy in Science and Technology which needs to be communicated and informed to the young generation. -
Indian Mathematics in Reading About These Areas of Mathematics That We Often Take As Obvious
Indian Mathematics In reading about these areas of mathematics that we often take as obvious. it often was, once someone had worked it out beforehand. This series is about some of the lesser-known of those people. Place value system and zero It is speculated that Aryabhata used the term “approaching” to The place-value system, first seen mean that not only is this an in the Bakhshali Manuscript, approximation but that the value which has been dated between is incommensurable (or irrational). 200BC and 300AD, was clearly in If this is correct, it is quite a place in his work. The author of sophisticated insight, because the the Bakhshali Manuscript is not irrationality of pi was proved in known. Europe only in 1761 by Lambert). While Aryabhata did not use a After Aryabhatiya was translated symbol for zero, the French into Arabic (ca. 820 AD) this mathematician Georges Ifrah approximation was mentioned in argues that knowledge of zero was Al-Khwarizmi's book on algebra. implicit in Aryabhata's place-value system as a place holder for the Algebra powers of ten with null coefficients. In Aryabhatiya, Aryabhata However, Aryabhata did not use provided elegant results for the the brahmi numerals. Continuing summation of series of squares the Sanskritic tradition from Vedic and cubes: times, he used letters of the alphabet to denote numbers, 12 + 2 2 + … + n 2 = (n + 1)(2n + 1) expressing quantities, such as the 6 table of sines in a mnemonic form. and 3 3 3 2 Pi as irrational 1 + 2 + … + n = (1+2+ … +n) Aryabhata’s work influenced the Aryabhata worked on the Indian astronomical tradition and approximation for Pi (π), and may several neighbouring cultures have come to the conclusion that π through translations. -
Chapter Two Astrological Works in Sanskrit
51 CHAPTER TWO ASTROLOGICAL WORKS IN SANSKRIT Astrology can be defined as the 'philosophy of discovery' which analyzing past impulses and future actions of both individuals and communities in the light of planetary configurations. Astrology explains life's reaction to planetary movements. In Sanskrit it is called hora sastra the science of time-'^rwRH ^5R5fai«fH5iref ^ ^Tm ^ ^ % ^i^J' 11 L.R. Chawdhary documented the use of astrology as "astrology is important to male or female as is the case of psychology, this branch of knowledge deals with the human soul deriving awareness of the mind from the careful examination of the facts of consciousness. Astrology complements everything in psychology because it explains the facts of planetary influences on the conscious and subconscious providing a guideline towards all aspects of life, harmony of mind, body and spirit. This is the real use of astrology^. Dr. ^.V.Raman implies that "astrology in India is a part of the whole of Indian culture and plays an integral part in guiding life for all at all stages of life" ^. Predictive astrology is a part of astronomy that exists by the influence of ganita and astronomical doctrines. Winternitz observes that an astrologer is required to possess all possible noble quantities and a comprehensive knowledge of astronomy, ' Quoted from Sabdakalpadruma, kanta-ll, p.550 ^ L.R.Chawdhari, Secrets of astrology. Sterling Paper backs, New Delhi,1998, p.3 ^Raman.B.V, Planetary influence of Human affairs, U.B.S. Publishers, New Delhi, 1996,p.147 52 mathematics and astrology^ Astrology or predictive astrology is said to be coconnected with 'astronomy'. -
Calendar 2020
APRIL 2020 Chaitra - Vaisakha 2077 Subh Muhurat Shukla Paksha Dwadashi Easter Krishna Paksha Dwadashi Akshaya Tritiya Festivals, Vrats & Holidays Marriage: 14, 15, 25, Vaisakha Vaisakha Vaisakha 1 April Fool, Masik Durgashtami, ५ १२ १९ २६ Sun 26 5 27 12 5 19 2 26 18 Ashoka Ashtami Magha Jyeshtha Kumbha Rohini 2 Ram Navami रव. Griha Pravesh: 25, 27 Simha Meena Vrishchika Meena Mesha Mesha Vrishabha Mesha Swaminarayan Jayanti, Tara Vehicle Purchase: 1, Shukla Paksha Trayodashi Baisakhi Krishna Paksha Trayodashi Shukla Paksha Chaturthi Jayanti 3, 8, 16, 17, 26, 27, Chaitra Vaisakha 4 Kamada Ekadashi 29, 30 ६ १३ २० २७ MON 6 28 13 20 13 27 19 5 Vamana Dwadashi, Purva Phalguni Mula Purva Bhadrapada Mrigashirsha Pradosh Vrat सोम. Property Purchase: 3 Simha Meena Dhanu Meena Meena Mesha Mithuna Mesha 6 Mahavir Jayanti Namakaran: 3, 8, 9, Shukla Paksha Chaturdashi Krishna Paksha Saptami Krishna Paksha Chaturdashi Shukla Paksha Panchami 7 Chaitra Purnima Vrat 15, 16, 17, 20, 23, 26, Chaitra Vaisakha Vaisakha Vaisakha 8 Hanuman Jayanti 27, 30 ७ १४ २१ २८ TUE 7 29 14 7 21 14 28 20 Chaitra Purnima Uttara Phalguni Purva Ashadha Uttara Bhadrapada Ardra 9 Maundy Thursday मंगल. Mundan: 5, 6, 11, 12, 13, 19, 26 Kanya Meena Dhanu Mesha Meena Mesha Mithuna Mesha 10 Good Friday Shukla Paksha Ashtami Hanuman Jayanti Krishna Paksha Ashtami Amavasya Shukla Paksha Shashthi 11 Vikata Sankashti Chaturthi Chaitra Vaisakha Vaisakha Vaisakha 12 Easter १ ८ १५ २२ २९ WED 1 23 8 15 8 22 15 29 21 13 Mesha Sankranthi, Baisakhi, Ardra Hasta Uttara Ashadha Revati Punarvasu Solar New Year बुध. -
Histroy of Astrology
THE HISTORY OF ASTROLOGY THE HISTORY OF ASTROLOGY Astrology consists of a number of belief systems which hold that there is a relationship between visible astronomical phenomena and events in the human world. In the West, astrology most often consists of a system of horoscopes that claim to predict aspects of an individual's personality or life history based on the positions of the sun, moon, and planetary objects at the time of their birth. Many other cultures have attached importance to astronomical events, and the Indian, Chinese, and Mayan cultures developed elaborate systems for predicting terrestrial events from celestial observations. Source : Wikipedia, the free encyclopedia THE HISTORY OF ASTROLOGY Astrology’s origins in Indo-European cultures trace to the third millennium BCE, with roots in calendrical systems used to predict seasonal shifts and to interpret celestial cycles as signs of divine communications. Through most of its history it was considered a scholarly tradition. It was accepted in political and academic contexts, and its concepts were built into other studies, such as astronomy, alchemy, meteorology, and medicine. At the end of the 17th century, new scientific concepts in astronomy (such as heliocentrism) began to damage the credibility of astrology, which subsequently lost its academic and theoretical standing. Astrology saw a popular revival in the 19th and 20th centuries as part of a general revival of spiritualism and later New Age philosophy, and through the influence of mass media such as newspaper horoscopes. ETYMOLOGY The word astrology comes from the Latin astrologia, deriving from the Greek noun αστρολογία , which combines ἄἄἄστρο astro, 'star, celestial body' with λογία logia, 'study of, theory, discourse (about)'. -
Essence of Hindu Festivals & Austerities
ESSENCE OF HINDU FESTIVALS AND AUSTERITIES Edited and translated by V.D.N.Rao, former General Manager of India Trade Promotion Organization, Ministry of Commerce, Govt. of India, Pragati Maidan, New Delhi now at Chennai 1 Other Scripts by the same Author: Essence of Puranas:- Maha Bhagavata, Vishnu Purana, Matsya Purana, Varaha Purana, Kurma Purana, Vamana Purana, Narada Purana, Padma Purana; Shiva Purana, Linga Purana, Skanda Purana, Markandeya Purana, Devi Bhagavata;Brahma Purana, Brahma Vaivarta Purana, Agni Purana, Bhavishya Purana, Nilamata Purana; Shri Kamakshi Vilasa Dwadasha Divya Sahasranaama: a) Devi Chaturvidha Sahasra naama: Lakshmi, Lalitha, Saraswati, Gayatri; b) Chaturvidha Shiva Sahasra naama-Linga-Shiva-Brahma Puranas and Maha Bhagavata; c) Trividha Vishnu and Yugala Radha-Krishna Sahasra naama-Padma-Skanda-Maha Bharata and Narada Purana. Stotra Kavacha- A Shield of Prayers Purana Saaraamsha; Select Stories from Puranas Essence of Dharma Sindhu Essence of Shiva Sahasra Lingarchana Essence of Paraashara Smtiti Essence of Pradhana Tirtha Mahima Dharma Bindu Essence of Upanishads : Brihadaranyaka , Katha, Tittiriya, Isha, Svetashwara of Yajur Veda- Chhandogya and Kena of Saama Veda-Atreya and Kausheetaki of Rig Veda-Mundaka, Mandukya and Prashna of Atharva Veda ; Also ‘Upanishad Saaraamsa’ (Quintessence of Upanishads) Essence of Virat Parva of Maha Bharata Essence of Bharat Yatra Smriti Essence of Brahma Sutras* Essence of Sankhya Parijnaana*- Also Essence of Knowledge of Numbers Essence of Narada Charitra Essence Neeti Chandrika* [Note: All the above Scriptures already released on www. Kamakoti. Org/news as also on Google by the respective references. The one with * is under process] 2 PREFACE Dharma and Adharma are the two wheels of Life‟s Chariot pulling against each other. -
By the Religion on Some Occasions a Lunar Date Is Not Given Solely As the Waxing Or Waning Night of the Month in Year X, but As So Many Years, Months, and Days
10. TIMES 10.1: by the Religion On some occasions a lunar date is not given solely as the waxing or waning night of the month in year x, but as so many years, months, and days. The formulation then varies: instead of being month 4, waxing 5, it is 4 months, 5 days. The years (on their own) total 4999 years, the months total 12 months, and the days total 30 days (360-day years). When the years have been found, the base of the reckoning lies in the Vaisakha Full Moon last occurring. * Example: The Chiang Mai inscription Wat Sri Suphan Aram (Mission Pavie 5) exhibits the lunar date Magha 1 waxing of CS 862 (where Magha is expressly labelled the third month, as in Sukhothai style). The date is later redefined as falling on "2043 years complete, 8 months and 17 days". Vaisakha Full Moon (6 months and 15 days) plus these 8 months and 17 days yields 15 (i.e. 3) months and 2 days. The extra day is presumably a consequence of inclusive counting. Intercalation is not taken into account. * Example: an unpublished Chiang Mai inscription of Wat Thaen Phra (1814) has: "CS 1176 ... Karttika month new moon ... 2357 years, 6 months, 15 days; and 2642 years, 5 months, 15 days". The BS reckoning, which makes up 5000 years, reaches up to the end of Karttika. Vaisakha 15 plus 6 months 15 days equals Karttika 30. It looks as though the hora has said correctly, Full to New is 15 days, but then separately reckoned that Vaisakha to Karttika is six months, when he needed only five.