Analysis of Manchuria Astronomical Almanacs of 1933–1945
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Ephemeris Time, D. H. Sadler, Occasional
EPHEMERIS TIME D. H. Sadler 1. Introduction. – At the eighth General Assembly of the International Astronomical Union, held in Rome in 1952 September, the following resolution was adopted: “It is recommended that, in all cases where the mean solar second is unsatisfactory as a unit of time by reason of its variability, the unit adopted should be the sidereal year at 1900.0; that the time reckoned in these units be designated “Ephemeris Time”; that the change of mean solar time to ephemeris time be accomplished by the following correction: ΔT = +24°.349 + 72s.318T + 29s.950T2 +1.82144 · B where T is reckoned in Julian centuries from 1900 January 0 Greenwich Mean Noon and B has the meaning given by Spencer Jones in Monthly Notices R.A.S., Vol. 99, 541, 1939; and that the above formula define also the second. No change is contemplated or recommended in the measure of Universal Time, nor in its definition.” The ultimate purpose of this article is to explain, in simple terms, the effect that the adoption of this resolution will have on spherical and dynamical astronomy and, in particular, on the ephemerides in the Nautical Almanac. It should be noted that, in accordance with another I.A.U. resolution, Ephemeris Time (E.T.) will not be introduced into the national ephemerides until 1960. Universal Time (U.T.), previously termed Greenwich Mean Time (G.M.T.), depends both on the rotation of the Earth on its axis and on the revolution of the Earth in its orbit round the Sun. There is now no doubt as to the variability, both short-term and long-term, of the rate of rotation of the Earth; U.T. -
Calculation of Moon Phases and 24 Solar Terms
Calculation of Moon Phases and 24 Solar Terms Yuk Tung Liu (廖²棟) First draft: 2018-10-24, Last major revision: 2021-06-12 Chinese Versions: ³³³qqq---文文文 简简简SSS---文文文 This document explains the method used to compute the times of the moon phases and 24 solar terms. These times are important in the calculation of the Chinese calendar. See this page for an introduction to the 24 solar terms, and this page for an introduction to the Chinese calendar calculation. Computation of accurate times of moon phases and 24 solar terms is complicated, but today all the necessary resources are freely available. Anyone familiar with numerical computation and computer programming can follow the procedure outlined in this document to do the computation. Before stating the procedure, it is useful to have a basic understanding of the basic concepts behind the computation. I assume that readers are already familiar with the important astronomy concepts mentioned on this page. In Section 1, I briefly introduce the barycentric dynamical time (TDB) used in modern ephemerides, and its connection to terrestrial time (TT) and international atomic time (TAI). Readers who are not familiar with general relativity do not have to pay much attention to the formulas there. Section 2 introduces the various coordinate systems used in modern astronomy. Section 3 lists the formulas for computing the IAU 2006/2000A precession and nutation matrices. One important component in the computation of accurate times of moon phases and 24 solar terms is an accurate ephemeris of the Sun and Moon. I use the ephemerides developed by the Jet Propulsion Laboratory (JPL) for the computation. -
Notes on the Almanacs of Massachusetts
1912.] Almmmcs of Massachusetts. 15 NOTES ON THE ALMANACS OF MASSACHUSETTS. BY CHARLES L. NICHOLS The origin of the almanac is wrapped in as much obscurity as that of the science of astronomy upon which its usefulness depends. It is possible, however, to trace some of the steps of its evolution and to note the uses to which it has been applied as that evolution has taken place. « When Fabius, the secretary of Appius Claudius, stole the fasti-sacri or Kalendares of the Roman priest- hood three hundred years before Christ, and exhibited the white tablets on the walls of the Forum, he not only struck a blow for reUgious freedom, but also gave to the people a long coveted source of information. Until that period no fast or holy-day had been pro- claimed except by the decision of the priests, since by their secret methods were made the calculations for those days. From that time the calendar of days has belonged to the people themselves, and has held an important position in the almanac of all nations. When Ptolemy in 150, A. D., prepared his catalogue of stars, and laid the foundation for more exact and con- tinuous records of their movements, the development of the Ephemeris, or daily note-book of the planets' places in our almanacs was assured. The meaning of the "man of signs," which is still so commonly seen, was minutely described by Manil- ius in his Astronomicon, written in the reign of the Emperor Tiberius. Origen and Jamblicus state that the principle underlying this belonged to a much earlier 16 American Aritiquarian Society. -
8-16 Rorient 68 Z.2-15.Indd
ROCZNIK ORIENTALISTYCZNY, T. LXVIII, Z. 2, 2015, (s. 180–205) KRISZTINA TELEKI Introduction to the Tibetan and Mongolian Inventories of Urga’s Temples Abstract In the present article are listed forty eight Mongolian and twenty one Tibetan inventories which are kept in the collections of the National Library and the National Archives of Mongolia. The inventories written in the 19th century and at the beginning of the 20th century give an account of the sacred objects of about thirty temples of Urga, the monastic capital city of Mongolia which existed until 1938. The author made an attempt to reveal the history and describe the general features of the inventories as well as to indicate their differences from the Tibetan dkar chag texts. It has appeared that from time to time the inventories were subject to revision and update, and the most prominent temples possessed both the Mongolian and Tibetan inventories. However, many questions regarding the authors and original location of the inventories remain still unanswered. Keywords: Mongolian inventories, Buddhism, monasteries, Buddhist temples, Buddhist arts, Ulan Bator, Urga When studying the religious life and special characteristics of a monastery, the research of its objects of worship has great significance. Since its first foundation in 1639, Urga or Örgöö, also known as Ikh Khüree, Daa Khüree, Ariin Khüree, Niislel Khüree, and Bogdiin Khüree, had been one of the main centres of Mongolian Buddhism being the residence of Öndör Gegeen Zanabazar (1635–1723) and his reincarnations, the lineage of the Bogd gegeens or Javzandamba khutagts (Tib. rje btsun dam pa).1 This monastic town became the official capital city of Mongolia in 1912 called Niislel Khüree, and existed until 1938 when it was almost completely demolished to give space to new buildings of Ulaanbaatar, now the capital of a state with a Soviet type non-religious ideology. -
AN ASTRONOMICAL ALMANAC for the YEAR 348/9 P S (P
Historisk-filologiske Meddelelser udgivet af Det Kongelige Danske Videnskabernes Selskab Bind 36, no. 4 Hisi. Filol. Medd. Dan. Vid. Selsk. 36, no. 4 (1956) AN ASTRONOMICAL ALMANAC FOR THE YEAR 348/9 P s (P. Heid. Inv. No. 34) BY O. NEUGEBAUER København 1956 i kommission hos Ejnar Munksgaard D et K o n g e l ig e D a n sk e V idenskabernes Selsk a b udgiver følgende publikalionsrækker: L'Académie Royale des Sciences et des Lettres de Danemark publie les séries suivantes: BibliograTisk forkortelse Abréviation bibliographique Oversigt over selskabets virksomhed (8°) Overs. Dan. Vid. Selsk. (Annuaire) Historisk-filologiske Meddelelser (8°) Hist. Filol. Medd. Dan. Vid. Selsk. Historisk-filologiske Skrifter (4°) Hist.'Filol. Skr. Dan. Vid. Selsk. (Histoire et Philologie) Arkæologisk-kunsthistoriske Meddelelser (8°) Arkæol. Kunsthist. Medd. Dan. 0 Vid. Selsk. Arkæologisk-kunsthistoriske Skrifter (4°) Arkæol. Kunsthist. Skr. Dan. Vid. (Archéologie et Histoire de l’Art) Selsk. Filosofiske Meddelelser (8°) Filos. Medd. Dan. Vid. Selsk. (Philosophie) Matematisk-fysiske Meddelelser (8°) Mat. Fys. Medd. Dan. Vid. Selsk. (Mathématiques et Physique) Biologiske Meddelelser (8°) Biol. Medd. Dan. Vid. Selsk. Biologiske Skrifter (4°) Biol. Skr. Dan. Vid. Selsk. (Biologie) Selskabets sekretariat og postadresse: Dantes plads 5, København V. L ’adresse postale du secrétariat de l’Académie est: Det Kongelige Danske Videnskabernes Selskab, Dantes plads 5, København V, Danmark. Selskabets kommissionær: Ejnar Munksgaard’s forlag, Nørregade 6, København K. Les publications sont en vente chez le commissionnaire: E jnar Munksgaard, éditeur. Nørregade 6, København K, Danmark. Historisk-filologiske Meddelelser udgivet af Det Kongelige Danske Videnskabernes Selskab Bind 36, no. 4 Hist. -
The Calendars of India
The Calendars of India By Vinod K. Mishra, Ph.D. 1 Preface. 4 1. Introduction 5 2. Basic Astronomy behind the Calendars 8 2.1 Different Kinds of Days 8 2.2 Different Kinds of Months 9 2.2.1 Synodic Month 9 2.2.2 Sidereal Month 11 2.2.3 Anomalistic Month 12 2.2.4 Draconic Month 13 2.2.5 Tropical Month 15 2.2.6 Other Lunar Periodicities 15 2.3 Different Kinds of Years 16 2.3.1 Lunar Year 17 2.3.2 Tropical Year 18 2.3.3 Siderial Year 19 2.3.4 Anomalistic Year 19 2.4 Precession of Equinoxes 19 2.5 Nutation 21 2.6 Planetary Motions 22 3. Types of Calendars 22 3.1 Lunar Calendar: Structure 23 3.2 Lunar Calendar: Example 24 3.3 Solar Calendar: Structure 26 3.4 Solar Calendar: Examples 27 3.4.1 Julian Calendar 27 3.4.2 Gregorian Calendar 28 3.4.3 Pre-Islamic Egyptian Calendar 30 3.4.4 Iranian Calendar 31 3.5 Lunisolar calendars: Structure 32 3.5.1 Method of Cycles 32 3.5.2 Improvements over Metonic Cycle 34 3.5.3 A Mathematical Model for Intercalation 34 3.5.3 Intercalation in India 35 3.6 Lunisolar Calendars: Examples 36 3.6.1 Chinese Lunisolar Year 36 3.6.2 Pre-Christian Greek Lunisolar Year 37 3.6.3 Jewish Lunisolar Year 38 3.7 Non-Astronomical Calendars 38 4. Indian Calendars 42 4.1 Traditional (Siderial Solar) 42 4.2 National Reformed (Tropical Solar) 49 4.3 The Nānakshāhī Calendar (Tropical Solar) 51 4.5 Traditional Lunisolar Year 52 4.5 Traditional Lunisolar Year (vaisnava) 58 5. -
Astronomical Time Keeping file:///Media/TOSHIBA/Times.Htm
Astronomical Time Keeping file:///media/TOSHIBA/times.htm Astronomical Time Keeping Introduction Siderial Time Solar Time Universal Time (UT), Greenwich Time Timezones Atomic Time Ephemeris Time, Dynamical Time Scales (TDT, TDB) Julian Day Numbers Astronomical Calendars References Introduction: Time keeping and construction of calendars are among the oldest branches of astronomy. Up until very recently, no earth-bound method of time keeping could match the accuracy of time determinations derived from observations of the sun and the planets. All the time units that appear natural to man are caused by astronomical phenomena: The year by Earth's orbit around the Sun and the resulting run of the seasons, the month by the Moon's movement around the Earth and the change of the Moon phases, the day by Earth's rotation and the succession of brightness and darkness. If high precision is required, however, the definition of time units appears to be problematic. Firstly, ambiguities arise for instance in the exact definition of a rotation or revolution. Secondly, some of the basic astronomical processes turn out to be uneven and irregular. A problem known for thousands of years is the non-commensurability of year, month, and day. Neither can the year be precisely expressed as an integer number of months or days, nor does a month contain an integer number of days. To solves these problems, a multitude of time scales and calenders were devised of which the most important will be described below. Siderial Time The siderial time is deduced from the revolution of the Earth with respect to the distant stars and can therefore be determined from nightly observations of the starry sky. -
Mongolian European Chamber Of
MONGOL Since 1991 the MESSENGER 500 ¥ No. 07-08 (1076-1077) MONGOLIA’S FIRST ENGLISH WEEKLY PUBLISHED BY MONTSAME NEWS AGENCY Friday, February 17, 2012 Mongolia Economic Happy Tsagaan Sar! Forum planned for early March The Mongolian Economic Forum 2012 will run on March 5-6. At a February 10 press conference, organizers of the forum reported about the preparations and measures for the forum. As of information given by MP S. Oyun; Deputy Finance Minister Ch.Gankhuyag; Ch.Khashchuluun, head of the National Development and Innovation Committee; and P.Tsagaan, senior advisor to the President, the forum that is to be organized for the third time, will run this year under the motto ‘Together for Development’. The forum will have sub-meetings under themes on economic development, social policy and competitiveness, and bring together over 1000 foreign and domestic participants. During the forum, it is planned to publicly introduce Mongolia’s development forum until 2021 issued by Open Society. MP S. Oyun said, “In reality, why isn’t poverty decreasing while the economy has grown over the past five or six years. We believe that issues on how to decrease poverty and what should be done for the fruits of economic growth to improve livelihoods will develop into hot discussions during the forum. For instance, the statistical figures on poverty percentages are very confusing. The National Statistical Committee evaluates the poverty rate at 39 percent while the World Bank says it is lower using a different methodology to evaluate poverty. Therefore, -
Almond Almanac
ALMOND BOARD OF CALIFORNIA 20 A 20 L M ALMOND ALMANAC 2020 20 TABLE OF CONTENTS 20 ANNUAL REPORT INTRODUCING THE CALIFORNIA ALMOND COMMUNITY 2 Mission + Vision Welcome to the 2020 3 2020 Milestones Almond Almanac 4 About Our Community Within these pages you will find a ALMOND BOARD OF CALIFORNIA PROGRAMS comprehensive overview of California almonds—the state’s #1 crop by 6 Programs + Budget acreage, #1 ag export and #2 crop 7 Almond Orchard 2025 Goals by value, and the #1 specialty crop 8 California Almond Sustainability Program export in the U.S. 9 Research Overview 10 Production and Environmental Research For almond farmers and processors, 14 Nutrition Research this is your annual accounting 16 Almond Quality + Food Safety of how your investment in the 17 Global Technical + Regulatory Affairs Almond Board of California (ABC) is 18 Global Communications leveraged to build long-term demand 21 Global Market Development for California almonds around 22 Regional Market Updates the world, as well as protect that demand from erosion due to growing CALIFORNIA ALMOND FACTS AND FIGURES challenges, and an overview of ABC- funded research that underpins the 30 California Almond Forecasts vs. Actual Production continuous improvement efforts of 31 California Almond Crop Estimates vs. Actual Receipts the California almond community. 32 California Almond Acreage + Farm Value 33 Crop Value + Yield per Bearing Acre For anyone interested in California 35 California Almond Production by County almonds, the Almanac provides the 36 California Almond Receipts by County + Variety latest statistics1 about California 37 Top Ten Almond-Producing Varieties almond production, acreage 38 Position Report of California Almonds and varieties, as well as global 39 World Destinations shipment and market information. -
The Mathematics of the Chinese Calendar
The Mathematics of the Chinese Calendar Helmer Aslaksen Department of Mathematics National University of Singapore Singapore 117543 Republic of Singapore [email protected] www.math.nus.edu.sg/aslaksen/ August 28, 2003 1 Introduction Chinese New Year is the main holiday of the year for more than one quarter of the world’s population; very few people, however, know how to compute its date. For many years I kept asking people about the rules for the Chinese calendar, but I wasn’t able to find anybody who could help me. Many of the people who were knowledgeable about science felt that the traditional Chinese calendar was backwards and superstitious, while people who cared about Chinese culture usually lacked the scientific knowledge to understand how the calendar worked. In the end I gave up and decided that I had to figure it out for myself. This paper is the result. The rules for the Chinese calendar have changed many times over the years. This has caused a lot of confusion for people writing about it. Many sources describe the rules that were used before the last calendar reform in 1645, and some modern sources even describe the rules that were used before 104 BCE! In addition, the otherwise authoritative work of Needham ([32]) almost completely ignores the topic. For many years, the only reliable source in English was the article by Doggett in the Explanatory Supplement to the Astronomical Almanac ([12]), based on unpublished work of Liu and Stephenson ([25]). But thanks to the efforts of Dershowitz and Reingold ([11]), correct information and computer programs are now easily available. -
Swiss Ephemeris: an Accurate Ephemeris Toolset for Astronomy and Astrology
NOTICES Swiss Ephemeris: An Accurate Ephemeris Toolset for Astronomy and Astrology Victor Reijs Independent scholar [email protected] Ralf Stubner Independent scholar [email protected] Introduction The Swiss Ephemeris is a highly accurate ephemeris toolset developed since 1997 by Astrodienst (Koch and Triendl 2004). It is based upon the DE430/DE431 ephemerides from NASA’s JPL (Folkner et al. 2014) and covers the time range 13,000 BC to AD 17,000. For both astronomical and astrological coordinates (true equinox of date), all corrections such as relativistic aberration, deflection of light in the gravity field of the Sun and others have been included. The Swiss Ephemeris is not a product that can be easily used by end users, but it is an accurate and fast toolset for programmers to build into their own astronomical or astrological software. A few examples where this toolset is used include the swephR package for the R environment (Stubner and Reijs 2019) and ARCHAEOCOSMO, which is used within both Excel and R (Reijs 2006). All discussed packages have open source versions. To provide flexibility (mainly in processing and memory needs), Swiss Ephemeris can use three ephemerides, giving the user the choice of which to use. First there are the original JPL ephemerides data files. These data files need a lot of memory (around 3 GB) and provide the most accurate ephemeris at this moment. The second (and default) SE ephemeris uses Astrodienst’s data files. Astrodienst used sophisticated compres- sion techniques to reduce the original DE430/DE431 data files to around 100 MB. -
Testing the Significance of Solar Term Effect in the Taiwan Stock Market
Expert Systems with Applications 36 (2009) 6140–6144 Contents lists available at ScienceDirect Expert Systems with Applications journal homepage: www.elsevier.com/locate/eswa Testing the significance of solar term effect in the Taiwan stock market Hui-Miao Cheng a, Kuo-Ching Ying b,* a Department of Information Management, China University of Technology, Taipei, Taiwan b Department of Industrial Management and Management Information, Huafan University, No. 1, Huafan Road, Taipei, Taiwan article info abstract Keywords: This paper examines lunisolar calendar anomalies in the Taiwan stock market, particularly the solar term Calendar effects effect. Using the Taiwan Stock Exchange Capitalization Weighted Stock Index (TAIEX), the significance of Solar terms the solar term effect was tested. Statistical results showed that the lowest and the highest average stock Taiwan stock market returns are observed on Cold Dew and White Dew, respectively. Additionally, we found that all of the solar terms with negative average stock returns occurred during the period of Grain Fills to Winter Solstice. Although many investors believe that the solar term effect exists in the Taiwan stock market, the results of this study appear to show that the solar term effect is a mere superstition. The analytical results may prove useful for future theoretical and empirical work on the stock market in Taiwan and elsewhere. Ó 2008 Elsevier Ltd. All rights reserved. 1. Introduction and Jorion (1996) verified month-of-the-year effect or January effect of the stock market wherein stocks, especially small-cap stocks, Since the efficient market hypotheses (EMH) evolved from Fa- have historically tended to rise markedly in price during the period ma’s dissertation in 1965, topics related to capital market effi- starting on the last day of December and ending on the fifth trading ciency have been of continuing interest for researchers and the day of January.