IAU) and Time
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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): -
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. -
An Introduction to Orbit Dynamics and Its Application to Satellite-Based Earth Monitoring Systems
19780004170 NASA-RP- 1009 78N12113 An introduction to orbit dynamics and its application to satellite-based earth monitoring systems NASA Reference Publication 1009 An Introduction to Orbit Dynamics and Its Application to Satellite-Based Earth Monitoring Missions David R. Brooks Langley Research Center Hampton, Virginia National Aeronautics and Space Administration Scientific and Technical Informalion Office 1977 PREFACE This report provides, by analysis and example, an appreciation of the long- term behavior of orbiting satellites at a level of complexity suitable for the initial phases of planning Earth monitoring missions. The basic orbit dynamics of satellite motion are covered in detail. Of particular interest are orbit plane precession, Sun-synchronous orbits, and establishment of conditions for repetitive surface coverage. Orbit plane precession relative to the Sun is shown to be the driving factor in observed patterns of surface illumination, on which are superimposed effects of the seasonal motion of the Sun relative to the equator. Considerable attention is given to the special geometry of Sun- synchronous orbits, orbits whose precession rate matches the average apparent precession rate of the Sun. The solar and orbital plane motions take place within an inertial framework, and these motions are related to the longitude- latitude coordinates of the satellite ground track through appropriate spatial and temporal coordinate systems. It is shown how orbit parameters can be chosen to give repetitive coverage of the same set of longitude-latitude values on a daily or longer basis. Several potential Earth monitoring missions which illus- trate representative applications of the orbit dynamics are described. The interactions between orbital properties and the resulting coverage and illumina- tion patterns over specific sites on the Earth's surface are shown to be at the heart of satellite mission planning. -
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. -
The Iberoamerican Contribution To
RevMexAA (Serie de Conferencias), 25, 21{23 (2006) THE IBEROAMERICAN CONTRIBUTION TO INTERNATIONAL TIME KEEPING E. F. Arias1,2 RESUMEN Las escalas internacionales de tiempo, Tiempo At´omico Internacional (TAI) y Tiempo Universal Coordinado (UTC), son elaboradas en el Bureau Internacional des Poids et Mesures (BIPM), gracias a la contribuci´on de 57 laboratorios de tiempo nacionales que mantienen controles locales de UTC. La contribuci´on iberoamericana al c´alculo de TAI ha aumentado en los ultimos´ anos.~ Diez laboratorios en las Am´ericas y uno en Espana~ contribuyen a la estabilidad de TAI con el aporte de datos de relojes at´omicos industriales; una fuente de cesio mantenida en uno de ellos contribuye a mejorar la exactitud de TAI. Este art´ıculo resume las caracter´ısticas de las escalas de tiempo de referencia y describe la contribuci´on de los laboratorios iberoamericanos. ABSTRACT The international time scales, International Atomic Time (TAI) and Coordinated Universal Time (UTC), are elaborated at the Bureau International des Poids et Mesures (BIPM), thanks to the contribution of 57 national time laboratories that maintain local realizations of UTC. The Iberoamerican contribution to TAI has increased in the last years. Ten laboratories in America and one in Spain participate to the calculation of TAI , increasing its stability with the data of industrial atomic clocks and improving its accuracy with frequency measurements of a caesium source developed and maintained at one laboratory. This paper summarizes the characteristics of the reference time scales and describes the contributions of the Iberoamerican time laboratories to them. Key Words: TIME | REFERENCE SYSTEMS 1. -
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. -
Leap Second - Wikipedia
Leap second - Wikipedia https://en.wikipedia.org/wiki/Leap_second A leap second is a one-second adjustment that is occasionally applied to civil time Coordinated Universal Time (UTC) to keep it close to the mean solar time at Greenwich, in spite of the Earth's rotation slowdown and irregularities. UTC was introduced on 1972 January 1st, initially with a 10 second lag behind International Atomic Time (TAI). Since that date, 27 leap seconds have been inserted, the most recent on December 31, 2016 at 23:59:60 UTC, so in 2018, UTC lags behind TAI by an offset of 37 seconds.[1] The UTC time standard, which is widely used for international timekeeping and as the reference for civil time in most countries, uses the international system (SI) definition of the second. The UTC second Screenshot of the UTC clock from time.gov has been calibrated with atomic clock on the duration of the Earth's mean day of the astronomical year (https://time.gov/) during the leap second on 1900. Because the rotation of the Earth has since further slowed down, the duration of today's mean December 31, 2016. In the USA, the leap second solar day is longer (by roughly 0.001 seconds) than 24 SI hours (86,400 SI seconds). UTC would step took place at 19:00 local time on the East Coast, ahead of solar time and need adjustment even if the Earth's rotation remained constant in the future. at 16:00 local time on the West Coast, and at Therefore, if the UTC day were defined as precisely 86,400 SI seconds, the UTC time-of-day would 14:00 local time in Hawaii. -
COORDINATE TIME in the VICINITY of the EARTH D. W. Allan' and N
COORDINATE TIME IN THE VICINITY OF THE EARTH D. W. Allan’ and N. Ashby’ 1. Time and Frequency Division, National Bureau of Standards Boulder, Colorado 80303 2. Department of Physics, Campus Box 390 University of Colorado, Boulder, Colorado 80309 ABSTRACT. Atomic clock accuracies continue to improve rapidly, requir- ing the inclusion of general relativity for unambiguous time and fre- quency clock comparisons. Atomic clocks are now placed on space vehi- cles and there are many new applications of time and frequency metrology. This paper addresses theoretical and practical limitations in the accuracy of atomic clock comparisons arising from relativity, and demonstrates that accuracies of time and frequency comparison can approach a few picoseconds and a few parts in respectively. 1. INTRODUCTION Recent experience has shown that the accuracy of atomic clocks has improved by about an order of magnitude every seven years. It has therefore been necessary to include relativistic effects in the reali- zation of state-of-the-art time and frequency comparisons for at least the last decade. There is a growing need for agreement about proce- dures for incorporating relativistic effects in all disciplines which use modern time and frequency metrology techniques. The areas of need include sophisticated communication and navigation systems and funda- mental areas of research such as geodesy and radio astrometry. Significant progress has recently been made in arriving at defini- tions €or coordinate time that are practical, and in experimental veri- fication of the self-consistency of these procedures. International Atomic Time (TAI) and Universal Coordinated Time (UTC) have been defin- ed as coordinate time scales to assist in the unambiguous comparison of time and frequency in the vicinity of the Earth. -
Sidereal Time 1 Sidereal Time
Sidereal time 1 Sidereal time Sidereal time (pronounced /saɪˈdɪəri.əl/) is a time-keeping system astronomers use to keep track of the direction to point their telescopes to view a given star in the night sky. Just as the Sun and Moon appear to rise in the east and set in the west, so do the stars. A sidereal day is approximately 23 hours, 56 minutes, 4.091 seconds (23.93447 hours or 0.99726957 SI days), corresponding to the time it takes for the Earth to complete one rotation relative to the vernal equinox. The vernal equinox itself precesses very slowly in a westward direction relative to the fixed stars, completing one revolution every 26,000 years approximately. As a consequence, the misnamed sidereal day, as "sidereal" is derived from the Latin sidus meaning "star", is some 0.008 seconds shorter than the earth's period of rotation relative to the fixed stars. The longer true sidereal period is called a stellar day by the International Earth Rotation and Reference Systems Service (IERS). It is also referred to as the sidereal period of rotation. The direction from the Earth to the Sun is constantly changing (because the Earth revolves around the Sun over the course of a year), but the directions from the Earth to the distant stars do not change nearly as much. Therefore the cycle of the apparent motion of the stars around the Earth has a period that is not quite the same as the 24-hour average length of the solar day. Maps of the stars in the night sky usually make use of declination and right ascension as coordinates. -
Leapseconds and Spacecraft Clock Kernels LSK and SCLK
N IF Navigation and Ancillary Information Facility Leapseconds and Spacecraft Clock Kernels LSK and SCLK January 2020 N IF Topics Navigation and Ancillary Information Facility • Kernels Supporting Time Conversions – LSK – SCLK • Forms of SCLK Time Within SPICE • Backup LSK & SCLK 2 N IF SPICE Time Conversion Kernels Navigation and Ancillary Information Facility In most cases one or two kernel files are needed to perform conversions between supported time systems. • LSK - The leapseconds kernel is used in conversions between ephemeris time (ET/TDB) and Coordinated Universal Time (UTC). • SCLK - The spacecraft clock kernel is used in conversions between spacecraft clock time (SCLK) and ephemeris time (ET/TDB). – It’s possible there could be two or more clocks associated with a given spacecraft. Ephemeris Time, ET and Barycentric Dynamical Time, TDB, are the same LSK & SCLK 3 N IF The Leapseconds Kernel (LSK) Navigation and Ancillary Information Facility The leapseconds kernel contains a tabulation of all the leapseconds that have occurred, plus additional terms. • Used in ET UTC and in ET SCLK conversions. – Subroutines using LSK: STR2ET, TIMOUT, ET2UTC, etc. – Utility programs using LSK: spkmerge, chronos, spacit, etc. • Use FURNSH to load it. • NAIF updates the LSK when a new leap second is announced by the International Earth Rotation Service (IERS). – The latest LSK file is always available from the NAIF server. » The latest is LSK always the best one to use. – Announcement of each new LSK is typically made months in advance using the “spice_announce” system. » http://naif.jpl.nasa.gov/mailman/listinfo/spice_announce – New LSKs take effect ONLY on January 1st and July 1st LSK & SCLK 4 N IF LSK File Example Navigation and Ancillary Information Facility KPL/LSK . -
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. -
IEEE Standard Definitions of Physical Quantities for Fundamental Frequency and Time Metrology—Random Instabilities
IEEE Standard Definitions of Physical Quantities for Fundamental Frequency and Time Metrology—Random Instabilities IEEE Standards Coordinating Committee 27 Sponsored by the IEEE Standards Coordinating Committee 27 on Time and Frequency TM IEEE 1139 3 Park Avenue IEEE Std 1139™-2008 New York, NY 10016-5997, USA (Revision of IEEE Std 1139-1999) 27 February 2009 Authorized licensed use limited to: Johns Hopkins University. Downloaded on March 07,2019 at 15:29:34 UTC from IEEE Xplore. Restrictions apply. Authorized licensed use limited to: Johns Hopkins University. Downloaded on March 07,2019 at 15:29:34 UTC from IEEE Xplore. Restrictions apply. IEEE Std 1139™-2008 (Revision of IEEE Std 1139-1999) IEEE Standard Definitions of Physical Quantities for Fundamental Frequency and Time Metrology—Random Instabilities Sponsor IEEE Standards Coordinating Committee 27 on Time and Frequency Approved 26 September 2008 IEEE-SA Standards Board Authorized licensed use limited to: Johns Hopkins University. Downloaded on March 07,2019 at 15:29:34 UTC from IEEE Xplore. Restrictions apply. Abstract: Methods of describing random instabilities of importance to frequency and time metrology are covered. Quantities covered include frequency, amplitude, and phase instabilities; spectral densities of frequency, amplitude, and phase fluctuations; and time-domain deviations of frequency fluctuations. In addition, recommendations are made for the reporting of measurements of frequency, amplitude, and phase instabilities, especially in regard to the recording of experimental parameters, experimental conditions, and calculation techniques. Keywords: AM noise, amplitude instability, FM noise, frequency domain, frequency instability, frequency metrology, frequency modulation, noise, phase instability, phase modulation, phase noise, PM noise, time domain, time metrology • The Institute of Electrical and Electronics Engineers, Inc.