The Concept of Time in Navigation
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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): -
Measurement of Time
Measurement of Time M.Y. ANAND, B.A. KAGALI* Department of Physics, Bangalore University, Bangalore 560056 *email: [email protected] ABSTRACT Time was historically measured using the periodic motions of the sun and stars. Various types of sun clocks were devised in Egypt, Greece and Europe. Different types of water clocks were assembled with ever greater accuracy. Only in the seventeenth century did the mechanical clock with pendulums and springs appeared. Accurate quartz clocks and atomic clocks were developed in the first half of the twentieth century. Now we have clocks that have better than microsecond accuracy. This article gives a brief account of all these topics. Keywords: Sun clocks, Water clocks, Mechanical clocks, Quartz clocks, Atomic clocks, World Time, Indian Standard time We all know intuitively what time is. It can be civilizations relied upon the apparent motion of roughly equated with change or motions. From these bodies through the sky to determine the very beginning man has been interested in seasons, months, and years. understanding and measuring time. More We know little about the details of recently, he has been looking for ways to limit timekeeping in prehistoric eras, but we find the “damaging” effects of time and going that in every culture, some people were backward in time! preoccupied with measuring and recording the Celestial bodies—the Sun, Moon, planets, passage of time. Ice-age hunters in Europe over and stars—have provided us a reference for 20,000 years ago scratched lines and gouged measuring the passage of time. Ancient holes in sticks and bones, possibly counting the Physics Education • January − March 2007 277 days between phases of the moon. -
Hourglass User and Installation Guide About This Manual
HourGlass Usage and Installation Guide Version7Release1 GC27-4557-00 Note Before using this information and the product it supports, be sure to read the general information under “Notices” on page 103. First Edition (December 2013) This edition applies to Version 7 Release 1 Mod 0 of IBM® HourGlass (program number 5655-U59) and to all subsequent releases and modifications until otherwise indicated in new editions. Order publications through your IBM representative or the IBM branch office serving your locality. Publications are not stocked at the address given below. IBM welcomes your comments. For information on how to send comments, see “How to send your comments to IBM” on page vii. © Copyright IBM Corporation 1992, 2013. US Government Users Restricted Rights – Use, duplication or disclosure restricted by GSA ADP Schedule Contract with IBM Corp. Contents About this manual ..........v Using the CICS Audit Trail Facility ......34 Organization ..............v Using HourGlass with IMS message regions . 34 Summary of amendments for Version 7.1 .....v HourGlass IOPCB Support ........34 Running the HourGlass IMS IVP ......35 How to send your comments to IBM . vii Using HourGlass with DB2 applications .....36 Using HourGlass with the STCK instruction . 36 If you have a technical problem .......vii Method 1 (re-assemble) .........37 Method 2 (patch load module) .......37 Chapter 1. Introduction ........1 Using the HourGlass Audit Trail Facility ....37 Setting the date and time values ........3 Understanding HourGlass precedence rules . 38 Introducing -
Basic Principles of Celestial Navigation James A
Basic principles of celestial navigation James A. Van Allena) Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242 ͑Received 16 January 2004; accepted 10 June 2004͒ Celestial navigation is a technique for determining one’s geographic position by the observation of identified stars, identified planets, the Sun, and the Moon. This subject has a multitude of refinements which, although valuable to a professional navigator, tend to obscure the basic principles. I describe these principles, give an analytical solution of the classical two-star-sight problem without any dependence on prior knowledge of position, and include several examples. Some approximations and simplifications are made in the interest of clarity. © 2004 American Association of Physics Teachers. ͓DOI: 10.1119/1.1778391͔ I. INTRODUCTION longitude ⌳ is between 0° and 360°, although often it is convenient to take the longitude westward of the prime me- Celestial navigation is a technique for determining one’s ridian to be between 0° and Ϫ180°. The longitude of P also geographic position by the observation of identified stars, can be specified by the plane angle in the equatorial plane identified planets, the Sun, and the Moon. Its basic principles whose vertex is at O with one radial line through the point at are a combination of rudimentary astronomical knowledge 1–3 which the meridian through P intersects the equatorial plane and spherical trigonometry. and the other radial line through the point G at which the Anyone who has been on a ship that is remote from any prime meridian intersects the equatorial plane ͑see Fig. -
Atomic Desktop Alarm Clock
MODEL: T-045 (FRONT) INSTRUCTION MANUAL SCALE: 480W x 174H mm DATE: June 3, 2009 COLOR: WHITE BACKGROUND PRINTING BLACK 2. When the correct hour appears press the MODE button once to start the Minute digits Activating The Alarm Limited 90-Day Warranty Information Model T045 flashing, then press either the UP () or DOWN () buttons to set the display to the To turn the alarm ‘On’ slide the ALARM switch on the back panel to the ‘On’ position. The correct minute. Alarm On indicator appears in the display. Timex Audio Products, a division of SDI Technologies Inc. (hereafter referred to as SDI Technologies), warrants this product to be free from defects in workmanship and materials, under normal use Atomic Desktop 3. When the correct minutes appear press the MODE button once to start the Seconds At the selected wake-up time the alarm turns on automatically. The alarm begins with a single and conditions, for a period of 90 days from the date of original purchase. digits flashing. If you want to set the seconds counter to “00” press either the UP () or ‘beep’ and then the frequency of the ‘beeps’ increases. The alarm continues for two minutes, Alarm Clock DOWN () button once. If you do not wish to ‘zero’ the seconds, proceed to step 4. then shuts off automatically and resets itself for the same time on the following day. Should service be required by reason of any defect or malfunction during the warranty period, SDI Technologies will repair or, at its discretion, replace this product without charge (except for a 4. -
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. -
User Manual for Amazfit GTR 2 (English Edition) Contents
User Manual for Amazfit GTR 2 (English Edition) Contents User Manual for Amazfit GTR 2 (English Edition) ......................................................................................1 Getting started................................................................................................................................................3 Appearance ....................................................................................................................................3 Power on and off............................................................................................................................3 Charging ........................................................................................................................................3 Wearing & Replacing Watch Strap ...............................................................................................4 Connecting & Pairing ....................................................................................................................4 Updating the system of your watch ...............................................................................................5 Control center ................................................................................................................................5 Time System..................................................................................................................................6 Units...............................................................................................................................................6 -
SOFA Time Scale and Calendar Tools
International Astronomical Union Standards Of Fundamental Astronomy SOFA Time Scale and Calendar Tools Software version 1 Document revision 1.0 Version for Fortran programming language http://www.iausofa.org 2010 August 27 SOFA BOARD MEMBERS John Bangert United States Naval Observatory Mark Calabretta Australia Telescope National Facility Anne-Marie Gontier Paris Observatory George Hobbs Australia Telescope National Facility Catherine Hohenkerk Her Majesty's Nautical Almanac Office Wen-Jing Jin Shanghai Observatory Zinovy Malkin Pulkovo Observatory, St Petersburg Dennis McCarthy United States Naval Observatory Jeffrey Percival University of Wisconsin Patrick Wallace Rutherford Appleton Laboratory ⃝c Copyright 2010 International Astronomical Union. All Rights Reserved. Reproduction, adaptation, or translation without prior written permission is prohibited, except as al- lowed under the copyright laws. CONTENTS iii Contents 1 Preliminaries 1 1.1 Introduction ....................................... 1 1.2 Quick start ....................................... 1 1.3 The SOFA time and date routines .......................... 1 1.4 Intended audience ................................... 2 1.5 A simple example: UTC to TT ............................ 2 1.6 Abbreviations ...................................... 3 2 Times and dates 4 2.1 Timekeeping basics ................................... 4 2.2 Formatting conventions ................................ 4 2.3 Julian date ....................................... 5 2.4 Besselian and Julian epochs ............................. -
Prime Meridian ×
This website would like to remind you: Your browser (Apple Safari 4) is out of date. Update your browser for more × security, comfort and the best experience on this site. Encyclopedic Entry prime meridian For the complete encyclopedic entry with media resources, visit: http://education.nationalgeographic.com/encyclopedia/prime-meridian/ The prime meridian is the line of 0 longitude, the starting point for measuring distance both east and west around the Earth. The prime meridian is arbitrary, meaning it could be chosen to be anywhere. Any line of longitude (a meridian) can serve as the 0 longitude line. However, there is an international agreement that the meridian that runs through Greenwich, England, is considered the official prime meridian. Governments did not always agree that the Greenwich meridian was the prime meridian, making navigation over long distances very difficult. Different countries published maps and charts with longitude based on the meridian passing through their capital city. France would publish maps with 0 longitude running through Paris. Cartographers in China would publish maps with 0 longitude running through Beijing. Even different parts of the same country published materials based on local meridians. Finally, at an international convention called by U.S. President Chester Arthur in 1884, representatives from 25 countries agreed to pick a single, standard meridian. They chose the meridian passing through the Royal Observatory in Greenwich, England. The Greenwich Meridian became the international standard for the prime meridian. UTC The prime meridian also sets Coordinated Universal Time (UTC). UTC never changes for daylight savings or anything else. Just as the prime meridian is the standard for longitude, UTC is the standard for time. -
The Determination of Longitude in Landsurveying.” by ROBERTHENRY BURNSIDE DOWSES, Assoc
316 DOWNES ON LONGITUDE IN LAXD SUIWETISG. [Selected (Paper No. 3027.) The Determination of Longitude in LandSurveying.” By ROBERTHENRY BURNSIDE DOWSES, Assoc. M. Inst. C.E. THISPaper is presented as a sequel tothe Author’s former communication on “Practical Astronomy as applied inLand Surveying.”’ It is not generally possible for a surveyor in the field to obtain accurate determinationsof longitude unless furnished with more powerful instruments than is usually the case, except in geodetic camps; still, by the methods here given, he may with care obtain results near the truth, the error being only instrumental. There are threesuch methods for obtaining longitudes. Method 1. By Telrgrcrph or by Chronometer.-In either case it is necessary to obtain the truemean time of the place with accuracy, by means of an observation of the sun or z star; then, if fitted with a field telegraph connected with some knownlongitude, the true mean time of that place is obtained by telegraph and carefully compared withthe observed true mean time atthe observer’s place, andthe difference between thesetimes is the difference of longitude required. With a reliable chronometer set totrue Greenwich mean time, or that of anyother known observatory, the difference between the times of the place and the time of the chronometer must be noted, when the difference of longitude is directly deduced. Thisis the simplest method where a camp is furnisl~ed with eitherof these appliances, which is comparatively rarely the case. Method 2. By Lunar Distances.-This observation is one requiring great care, accurately adjusted instruments, and some littleskill to obtain good results;and the calculations are somewhat laborious. -
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. -
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.