Calendars Julian Calendar Around 46 BC the Romans Adopted A
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Ast 443 / Phy 517
AST 443 / PHY 517 Astronomical Observing Techniques Prof. F.M. Walter I. The Basics The 3 basic measurements: • WHERE something is • WHEN something happened • HOW BRIGHT something is Since this is science, let’s be quantitative! Where • Positions: – 2-dimensional projections on celestial sphere (q,f) • q,f are angular measures: radians, or degrees, minutes, arcsec – 3-dimensional position in space (x,y,z) or (q, f, r). • (x,y,z) are linear positions within a right-handed rectilinear coordinate system. • R is a distance (spherical coordinates) • Galactic positions are sometimes presented in cylindrical coordinates, of galactocentric radius, height above the galactic plane, and azimuth. Angles There are • 360 degrees (o) in a circle • 60 minutes of arc (‘) in a degree (arcmin) • 60 seconds of arc (“) in an arcmin There are • 24 hours (h) along the equator • 60 minutes of time (m) per hour • 60 seconds of time (s) per minute • 1 second of time = 15”/cos(latitude) Coordinate Systems "What good are Mercator's North Poles and Equators Tropics, Zones, and Meridian Lines?" So the Bellman would cry, and the crew would reply "They are merely conventional signs" L. Carroll -- The Hunting of the Snark • Equatorial (celestial): based on terrestrial longitude & latitude • Ecliptic: based on the Earth’s orbit • Altitude-Azimuth (alt-az): local • Galactic: based on MilKy Way • Supergalactic: based on supergalactic plane Reference points Celestial coordinates (Right Ascension α, Declination δ) • δ = 0: projection oF terrestrial equator • (α, δ) = (0,0): -
What Time Is It?
The Astronomical League A Federation of Astronomical Societies Astro Note E3 – What Time Is It? Introduction – There are many methods used to keep time, each having its own special use and advantage. Until recently, when atomic clocks became available, time was reckoned by the Earth's motions: one rotation on its axis was a "day" and one revolution about the Sun was a "year." An hour was one twenty-fourth of a day, and so on. It was convenient to use the position of the Sun in the sky to measure the various intervals. Apparent Time This is the time kept by a sundial. It is a direct measure of the Sun's position in the sky relative to the position of the observer. Since it is dependent on the observer's location, it is also a local time. Being measured according to the true solar position, it is subject to all the irregularities of the Earth's motion. The reference time is 12:00 noon when the true Sun is on the observer's meridian. Mean Time Many of the irregularities in the Earth's motion are due to its elliptical orbit. In order to add some consistency to the measure of time, we use the concept of mean time. Mean time uses the position of a fictitious "mean Sun" which moves smoothly and uniformly across the sky and is insensitive to the irregularities of the Earth’s motion. A mean solar day is 24 hours long. The "Equation of Time," tabulated in almanacs and represented on maps by the analemma, provides the correction between mean and apparent time to allow for the eccentricity of the Earth's orbit. -
The Mathematics of the Chinese, Indian, Islamic and Gregorian Calendars
Heavenly Mathematics: The Mathematics of the Chinese, Indian, Islamic and Gregorian Calendars Helmer Aslaksen Department of Mathematics National University of Singapore [email protected] www.math.nus.edu.sg/aslaksen/ www.chinesecalendar.net 1 Public Holidays There are 11 public holidays in Singapore. Three of them are secular. 1. New Year’s Day 2. Labour Day 3. National Day The remaining eight cultural, racial or reli- gious holidays consist of two Chinese, two Muslim, two Indian and two Christian. 2 Cultural, Racial or Religious Holidays 1. Chinese New Year and day after 2. Good Friday 3. Vesak Day 4. Deepavali 5. Christmas Day 6. Hari Raya Puasa 7. Hari Raya Haji Listed in order, except for the Muslim hol- idays, which can occur anytime during the year. Christmas Day falls on a fixed date, but all the others move. 3 A Quick Course in Astronomy The Earth revolves counterclockwise around the Sun in an elliptical orbit. The Earth ro- tates counterclockwise around an axis that is tilted 23.5 degrees. March equinox June December solstice solstice September equinox E E N S N S W W June equi Dec June equi Dec sol sol sol sol Beijing Singapore In the northern hemisphere, the day will be longest at the June solstice and shortest at the December solstice. At the two equinoxes day and night will be equally long. The equi- noxes and solstices are called the seasonal markers. 4 The Year The tropical year (or solar year) is the time from one March equinox to the next. The mean value is 365.2422 days. -
Ovid, Fasti 1.63-294 (Translated By, and Adapted Notes From, A
Ovid, Fasti 1.63-294 (translated by, and adapted notes from, A. S. Kline) [Latin text; 8 CE] Book I: January 1: Kalends See how Janus1 appears first in my song To announce a happy year for you, Germanicus.2 Two-headed Janus, source of the silently gliding year, The only god who is able to see behind him, Be favourable to the leaders, whose labours win Peace for the fertile earth, peace for the seas: Be favourable to the senate and Roman people, And with a nod unbar the shining temples. A prosperous day dawns: favour our thoughts and speech! Let auspicious words be said on this auspicious day. Let our ears be free of lawsuits then, and banish Mad disputes now: you, malicious tongues, cease wagging! See how the air shines with fragrant fire, And Cilician3 grains crackle on lit hearths! The flame beats brightly on the temple’s gold, And spreads a flickering light on the shrine’s roof. Spotless garments make their way to Tarpeian Heights,4 And the crowd wear the colours of the festival: Now the new rods and axes lead, new purple glows, And the distinctive ivory chair feels fresh weight. Heifers that grazed the grass on Faliscan plains,5 Unbroken to the yoke, bow their necks to the axe. When Jupiter watches the whole world from his hill, Everything that he sees belongs to Rome. Hail, day of joy, and return forever, happier still, Worthy to be cherished by a race that rules the world. But two-formed Janus what god shall I say you are, Since Greece has no divinity to compare with you? Tell me the reason, too, why you alone of all the gods Look both at what’s behind you and what’s in front. -
The Evolution of the Roman Calendar Dwayne Meisner, University of Regina
The Evolution of the Roman Calendar Dwayne Meisner, University of Regina Abstract The Roman calendar was first developed as a lunar | 290 calendar, so it was difficult for the Romans to reconcile this with the natural solar year. In 45 BC, Julius Caesar reformed the calendar, creating a solar year of 365 days with leap years every four years. This article explains the process by which the Roman calendar evolved and argues that the reason February has 28 days is that Caesar did not want to interfere with religious festivals that occurred in February. Beginning as a lunar calendar, the Romans developed a lunisolar system that tried to reconcile lunar months with the solar year, with the unfortunate result that the calendar was often inaccurate by up to four months. Caesar fixed this by changing the lengths of most months, but made no change to February because of the tradition of intercalation, which the article explains, and because of festivals that were celebrated in February that were connected to the Roman New Year, which had originally been on March 1. Introduction The reason why February has 28 days in the modern calendar is that Caesar did not want to interfere with festivals that honored the dead, some of which were Past Imperfect 15 (2009) | © | ISSN 1711-053X | eISSN 1718-4487 connected to the position of the Roman New Year. In the earliest calendars of the Roman Republic, the year began on March 1, because the consuls, after whom the year was named, began their years in office on the Ides of March. -
Islamic Calendar from Wikipedia, the Free Encyclopedia
Islamic calendar From Wikipedia, the free encyclopedia -at اﻟﺘﻘﻮﻳﻢ اﻟﻬﺠﺮي :The Islamic, Muslim, or Hijri calendar (Arabic taqwīm al-hijrī) is a lunar calendar consisting of 12 months in a year of 354 or 355 days. It is used (often alongside the Gregorian calendar) to date events in many Muslim countries. It is also used by Muslims to determine the proper days of Islamic holidays and rituals, such as the annual period of fasting and the proper time for the pilgrimage to Mecca. The Islamic calendar employs the Hijri era whose epoch was Islamic Calendar stamp issued at King retrospectively established as the Islamic New Year of AD 622. During Khaled airport (10 Rajab 1428 / 24 July that year, Muhammad and his followers migrated from Mecca to 2007) Yathrib (now Medina) and established the first Muslim community (ummah), an event commemorated as the Hijra. In the West, dates in this era are usually denoted AH (Latin: Anno Hegirae, "in the year of the Hijra") in parallel with the Christian (AD) and Jewish eras (AM). In Muslim countries, it is also sometimes denoted as H[1] from its Arabic form ( [In English, years prior to the Hijra are reckoned as BH ("Before the Hijra").[2 .(ﻫـ abbreviated , َﺳﻨﺔ ﻫِ ْﺠﺮﻳّﺔ The current Islamic year is 1438 AH. In the Gregorian calendar, 1438 AH runs from approximately 3 October 2016 to 21 September 2017.[3] Contents 1 Months 1.1 Length of months 2 Days of the week 3 History 3.1 Pre-Islamic calendar 3.2 Prohibiting Nasī’ 4 Year numbering 5 Astronomical considerations 6 Theological considerations 7 Astronomical -
Ancient Rome
Ancient Rome William E. Dunstan ROWMAN & LITTLEFIELD PUBLISHERS, INC. Lanham • Boulder • New York • Toronto • Plymouth, UK ................. 17856$ $$FM 09-09-10 09:17:21 PS PAGE iii Published by Rowman & Littlefield Publishers, Inc. A wholly owned subsidiary of The Rowman & Littlefield Publishing Group, Inc. 4501 Forbes Boulevard, Suite 200, Lanham, Maryland 20706 http://www.rowmanlittlefield.com Estover Road, Plymouth PL6 7PY, United Kingdom Copyright ᭧ 2011 by Rowman & Littlefield Publishers, Inc. All maps by Bill Nelson. All rights reserved. No part of this book may be reproduced in any form or by any electronic or mechanical means, including information storage and retrieval systems, without written permission from the publisher, except by a reviewer who may quote passages in a review. The cover image shows a marble bust of the nymph Clytie; for more information, see figure 22.17 on p. 370. British Library Cataloguing in Publication Information Available Library of Congress Cataloging-in-Publication Data Dunstan, William E. Ancient Rome / William E. Dunstan. p. cm. Includes bibliographical references and index. ISBN 978-0-7425-6832-7 (cloth : alk. paper) ISBN 978-0-7425-6833-4 (pbk. : alk. paper) ISBN 978-0-7425-6834-1 (electronic) 1. Rome—Civilization. 2. Rome—History—Empire, 30 B.C.–476 A.D. 3. Rome—Politics and government—30 B.C.–476 A.D. I. Title. DG77.D86 2010 937Ј.06—dc22 2010016225 ⅜ϱ ீThe paper used in this publication meets the minimum requirements of American National Standard for Information Sciences—Permanence of Paper for Printed Library Materials, ANSI/ NISO Z39.48–1992. Printed in the United States of America ................ -
How Long Is a Year.Pdf
How Long Is A Year? Dr. Bryan Mendez Space Sciences Laboratory UC Berkeley Keeping Time The basic unit of time is a Day. Different starting points: • Sunrise, • Noon, • Sunset, • Midnight tied to the Sun’s motion. Universal Time uses midnight as the starting point of a day. Length: sunrise to sunrise, sunset to sunset? Day Noon to noon – The seasonal motion of the Sun changes its rise and set times, so sunrise to sunrise would be a variable measure. Noon to noon is far more constant. Noon: time of the Sun’s transit of the meridian Stellarium View and measure a day Day Aday is caused by Earth’s motion: spinning on an axis and orbiting around the Sun. Earth’s spin is very regular (daily variations on the order of a few milliseconds, due to internal rearrangement of Earth’s mass and external gravitational forces primarily from the Moon and Sun). Synodic Day Noon to noon = synodic or solar day (point 1 to 3). This is not the time for one complete spin of Earth (1 to 2). Because Earth also orbits at the same time as it is spinning, it takes a little extra time for the Sun to come back to noon after one complete spin. Because the orbit is elliptical, when Earth is closest to the Sun it is moving faster, and it takes longer to bring the Sun back around to noon. When Earth is farther it moves slower and it takes less time to rotate the Sun back to noon. Mean Solar Day is an average of the amount time it takes to go from noon to noon throughout an orbit = 24 Hours Real solar day varies by up to 30 seconds depending on the time of year. -
September 2019
JUDICIAL COUNCIL OF CALIFORNIA 455 Golden Gate Avenue . San Francisco, California 94102-3688 www.courts.ca.gov REPORT TO THE JUDICI AL COUNCIL For business meeting on: September 23–24, 2019 Title Agenda Item Type Judicial Workload Assessment: 2018 Judicial Action Required Workload Study Updated Caseweights Effective Date Rules, Forms, Standards, or Statutes Affected September 24, 2019 None Date of Report Recommended by September 10, 2019 Workload Assessment Advisory Committee Hon. Lorna A. Alksne, Chair Contact Judicial Council staff Kristin Greenaway, 415-865-7832 Kristin Greenaway, Supervising Research [email protected] Analyst Office of Court Research Executive Summary The Workload Assessment Advisory Committee (WAAC) recommends that the Judicial Council adopt the proposed Judicial Workload Study updated model parameters that are used as part of the formula for assessing judicial need in the trial courts. The council previously approved the Judicial Workload Study in 2001 and 2011; the current update accounts for changes in the law and practice that have affected judicial workload since the last study update in 2011. The recommendation also reflects direction from the Judicial Council, at its July 18, 2019 meeting, to perform additional analysis to ensure the model best represents courts of all sizes. Further, WAAC recommends that the council approve an updated Judicial Needs Assessment per Government Code section 69614(c)(1) based on the new judicial workload measures and the established methodology for prioritization of judgeships. The updated needs assessment would replace a preliminary version that was completed in 2018 using workload measures developed in 2011. Recommendation The Workload Assessment Advisory Committee recommends that the Judicial Council: 1. -
Calendar of Roman Events
Introduction Steve Worboys and I began this calendar in 1980 or 1981 when we discovered that the exact dates of many events survive from Roman antiquity, the most famous being the ides of March murder of Caesar. Flipping through a few books on Roman history revealed a handful of dates, and we believed that to fill every day of the year would certainly be impossible. From 1981 until 1989 I kept the calendar, adding dates as I ran across them. In 1989 I typed the list into the computer and we began again to plunder books and journals for dates, this time recording sources. Since then I have worked and reworked the Calendar, revising old entries and adding many, many more. The Roman Calendar The calendar was reformed twice, once by Caesar in 46 BC and later by Augustus in 8 BC. Each of these reforms is described in A. K. Michels’ book The Calendar of the Roman Republic. In an ordinary pre-Julian year, the number of days in each month was as follows: 29 January 31 May 29 September 28 February 29 June 31 October 31 March 31 Quintilis (July) 29 November 29 April 29 Sextilis (August) 29 December. The Romans did not number the days of the months consecutively. They reckoned backwards from three fixed points: The kalends, the nones, and the ides. The kalends is the first day of the month. For months with 31 days the nones fall on the 7th and the ides the 15th. For other months the nones fall on the 5th and the ides on the 13th. -
IBM Z Server Time Protocol Guide
Front cover Draft Document for Review August 3, 2020 1:37 pm SG24-8480-00 IBM Z Server Time Protocol Guide Octavian Lascu Franco Pinto Gatto Gobehi Hans-Peter Eckam Jeremy Koch Martin Söllig Sebastian Zimmermann Steve Guendert Redbooks Draft Document for Review August 3, 2020 7:26 pm 8480edno.fm IBM Redbooks IBM Z Server Time Protocol Guide August 2020 SG24-8480-00 8480edno.fm Draft Document for Review August 3, 2020 7:26 pm Note: Before using this information and the product it supports, read the information in “Notices” on page vii. First Edition (August 2020) This edition applies to IBM Server Time Protocol for IBM Z and covers IBM z15, IBM z14, and IBM z13 server generations. This document was created or updated on August 3, 2020. © Copyright International Business Machines Corporation 2020. All rights reserved. Note to U.S. Government Users Restricted Rights -- Use, duplication or disclosure restricted by GSA ADP Schedule Contract with IBM Corp. Draft Document for Review August 3, 2020 8:32 pm 8480TOC.fm Contents Notices . vii Trademarks . viii Preface . ix Authors. ix Comments welcome. .x Stay connected to IBM Redbooks . xi Chapter 1. Introduction to Server Time Protocol . 1 1.1 Introduction to time synchronization . 2 1.1.1 Insertion of leap seconds . 2 1.1.2 Time-of-Day (TOD) Clock . 3 1.1.3 Industry requirements . 4 1.1.4 Time synchronization in a Parallel Sysplex. 6 1.2 Overview of Server Time Protocol (STP) . 7 1.3 STP concepts and terminology . 9 1.3.1 STP facility . 9 1.3.2 TOD clock synchronization . -
Date and Time Terms and Definitions
Date and Time Terms and Definitions Date and Time Terms and Definitions Brooks Harris Version 35 2016-05-17 Introduction Many documents describing terms and definitions, sometimes referred to as “vocabulary” or “dictionary”, address the topics of timekeeping. This document collects terms from many sources to help unify terminology and to provide a single reference document that can be cited by documents related to date and time. The basic timekeeping definitions are drawn from ISO 8601, its underlying IEC specifications, the BIPM Brochure (The International System of Units (SI)) and BIPM International vocabulary of metrology (VIM). Especially important are the rules and formulas regarding TAI, UTC, and “civil”, or “local”, time. The international standards that describe these fundamental time scales, the rules and procedures of their maintenance, and methods of application are scattered amongst many documents from several standards bodies using various lexicon. This dispersion makes it difficult to arrive at a clear understanding of the underlying principles and application to interoperable implementations. This document collects and consolidates definitions and descriptions from BIPM, IERS, and ITU-R to clarify implementation. There remain unresolved issues in the art and science of timekeeping, especially regarding “time zones” and the politically driven topic of “local time”. This document does not attempt to resolve those dilemmas but describes the terminology and the current state of the art (at the time of publication) to help guide