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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. -
QUICK REFERENCE GUIDE Latitude, Longitude and Associated Metadata
QUICK REFERENCE GUIDE Latitude, Longitude and Associated Metadata The Property Profile Form (PPF) requests the property name, address, city, state and zip. From these address fields, ACRES interfaces with Google Maps and extracts the latitude and longitude (lat/long) for the property location. ACRES sets the remaining property geographic information to default values. The data (known collectively as “metadata”) are required by EPA Data Standards. Should an ACRES user need to be update the metadata, the Edit Fields link on the PPF provides the ability to change the information. Before the metadata were populated by ACRES, the data were entered manually. There may still be the need to do so, for example some properties do not have a specific street address (e.g. a rural property located on a state highway) or an ACRES user may have an exact lat/long that is to be used. This Quick Reference Guide covers how to find latitude and longitude, define the metadata, fill out the associated fields in a Property Work Package, and convert latitude and longitude to decimal degree format. This explains how the metadata were determined prior to September 2011 (when the Google Maps interface was added to ACRES). Definitions Below are definitions of the six data elements for latitude and longitude data that are collected in a Property Work Package. The definitions below are based on text from the EPA Data Standard. Latitude: Is the measure of the angular distance on a meridian north or south of the equator. Latitudinal lines run horizontal around the earth in parallel concentric lines from the equator to each of the poles. -
Celestial Navigation Tutorial
NavSoft’s CELESTIAL NAVIGATION TUTORIAL Contents Using a Sextant Altitude 2 The Concept Celestial Navigation Position Lines 3 Sight Calculations and Obtaining a Position 6 Correcting a Sextant Altitude Calculating the Bearing and Distance ABC and Sight Reduction Tables Obtaining a Position Line Combining Position Lines Corrections 10 Index Error Dip Refraction Temperature and Pressure Corrections to Refraction Semi Diameter Augmentation of the Moon’s Semi-Diameter Parallax Reduction of the Moon’s Horizontal Parallax Examples Nautical Almanac Information 14 GHA & LHA Declination Examples Simplifications and Accuracy Methods for Calculating a Position 17 Plane Sailing Mercator Sailing Celestial Navigation and Spherical Trigonometry 19 The PZX Triangle Spherical Formulae Napier’s Rules The Concept of Using a Sextant Altitude Using the altitude of a celestial body is similar to using the altitude of a lighthouse or similar object of known height, to obtain a distance. One object or body provides a distance but the observer can be anywhere on a circle of that radius away from the object. At least two distances/ circles are necessary for a position. (Three avoids ambiguity.) In practice, only that part of the circle near an assumed position would be drawn. Using a Sextant for Celestial Navigation After a few corrections, a sextant gives the true distance of a body if measured on an imaginary sphere surrounding the earth. Using a Nautical Almanac to find the position of the body, the body’s position could be plotted on an appropriate chart and then a circle of the correct radius drawn around it. In practice the circles are usually thousands of miles in radius therefore distances are calculated and compared with an estimate. -
Latitude/Longitude Data Standard
LATITUDE/LONGITUDE DATA STANDARD Standard No.: EX000017.2 January 6, 2006 Approved on January 6, 2006 by the Exchange Network Leadership Council for use on the Environmental Information Exchange Network Approved on January 6, 2006 by the Chief Information Officer of the U. S. Environmental Protection Agency for use within U.S. EPA This consensus standard was developed in collaboration by State, Tribal, and U. S. EPA representatives under the guidance of the Exchange Network Leadership Council and its predecessor organization, the Environmental Data Standards Council. Latitude/Longitude Data Standard Std No.:EX000017.2 Foreword The Environmental Data Standards Council (EDSC) identifies, prioritizes, and pursues the creation of data standards for those areas where information exchange standards will provide the most value in achieving environmental results. The Council involves Tribes and Tribal Nations, state and federal agencies in the development of the standards and then provides the draft materials for general review. Business groups, non- governmental organizations, and other interested parties may then provide input and comment for Council consideration and standard finalization. Standards are available at http://www.epa.gov/datastandards. 1.0 INTRODUCTION The Latitude/Longitude Data Standard is a set of data elements that can be used for recording horizontal and vertical coordinates and associated metadata that define a point on the earth. The latitude/longitude data standard establishes the requirements for documenting latitude and longitude coordinates and related method, accuracy, and description data for all places used in data exchange transaction. Places include facilities, sites, monitoring stations, observation points, and other regulated or tracked features. 1.1 Scope The purpose of the standard is to provide a common set of data elements to specify a point by latitude/longitude. -
Printable Celestial Navigation Work Forms
S T A R P A T H ® S c h o o l o f N a v i g a t i o n PRINTABLE CELESTIAL NAVIGATION WORK FORMS For detailed instructions and numerical examples, see the companion booklet listed below. FORM 104 — All bodies, using Pub 249 or Pub 229 FORM 106 — All Bodies, Using NAO Tables FORM 108 — All Bodies, Almanac, and NAO Tables FORM 109 — Solar Index Correction FORM 107 — Latitude at LAN FORM 110 — Latitude by Polaris FORM 117 — Lat, Lon at LAN plus Polaris FORM 111 — Pub 249, Vol. 1 Selected Stars Other Starpath publications on Celestial Navigation Celestial Navigation Starpath Celestial Navigation Work Forms Hawaii by Sextant How to Use Plastic Sextants The Star Finder Book GPS Backup with a Mark 3 Sextant Emergency Navigation Stark Tables for Clearing the Lunar Distance Long Term Almanac 2000 to 2050 Celestial Navigation Work Form Form 104, All Sights, Pub. 249 or Pub. 229 WT h m s date body Hs ° ´ WE DR log index corr. 1 +S -F Lat + off - on ZD DR HE DIP +W -E Lon ft - UTC h m s UTC date / LOP label Ha ° ´ GHA v Dec d HP ° ´ moon ° ´ + 2 hr. planets hr - moon GHA + d additional ° ´ + ´ altitude corr. m.s. corr. - moon, mars, venus 3 SHA + stars Dec Dec altitude corr. or ° ´ or ° ´ all sights v corr. moon, planets min GHA upper limb moon ° ´ tens d subtract 30’ d upper Ho units d ° ´ a-Lon ° ´ d lower -W+E dsd dsd T LHA corr. + Hc 00´ W / 60´ E ° d. -
Chapter 19 the Almanacs
CHAPTER 19 THE ALMANACS PURPOSE OF ALMANACS 1900. Introduction The Air Almanac was originally intended for air navigators, but is used today mostly by a segment of the Celestial navigation requires accurate predictions of the maritime community. In general, the information is similar to geographic positions of the celestial bodies observed. These the Nautical Almanac, but is given to a precision of 1' of arc predictions are available from three almanacs published and 1 second of time, at intervals of 10 minutes (values for annually by the United States Naval Observatory and H. M. the Sun and Aries are given to a precision of 0.1'). This Nautical Almanac Office, Royal Greenwich Observatory. publication is suitable for ordinary navigation at sea, but The Astronomical Almanac precisely tabulates celestial lacks the precision of the Nautical Almanac, and provides data for the exacting requirements found in several scientific GHA and declination for only the 57 commonly used fields. Its precision is far greater than that required by navigation stars. celestial navigation. Even if the Astronomical Almanac is The Multi-Year Interactive Computer Almanac used for celestial navigation, it will not necessarily result in (MICA) is a computerized almanac produced by the U.S. more accurate fixes due to the limitations of other aspects of Naval Observatory. This and other web-based calculators are the celestial navigation process. available from: http://aa.usno.navy.mil. The Navy’s The Nautical Almanac contains the astronomical STELLA program, found aboard all seagoing naval vessels, information specifically needed by marine navigators. contains an interactive almanac as well. -
GMT and Longitude by Lunar Distance: Two Methods Compared from a Practitioner’S Point of View
THE JOURNAL OF NAVIGATION (2019), 72, 1660–1664. c The Royal Institute of Navigation 2019 doi:10.1017/S0373463319000341 FORUM GMT and Longitude by Lunar Distance: Two Methods Compared From a Practitioner’s Point of View Eric Romelczyk (E-mail: [email protected]) This article discusses the technique of observing lunar distance - that is, angular distance between the moon and another celestial body - to establish universal time and longitude, from a practitioner’s point of view. The article presents a brief overview of the principles underlying the lunar distance observation and its use in celestial navigation. A discussion follows of two different methods for finding universal time by observing lunar distance, Dr. Wendel Brunner’s calculator-based method and the specialised inspection tables created by Bruce Stark. The article compares the two methods against each other for ease of use and accuracy. The author concludes that either method will provide satisfactory results, but that the technique of observing lunar dis- tance is unlikely to regain relevance in the modern-day practice of navigation and is primarily useful as a skill-building exercise in making sextant observations. KEYWORDS 1. Navigation. 2. History. 3. Nautical. 4. Time. Submitted: 8 August 2018. Accepted: 14 April 2019. First published online: 2 May 2019. 1. INTRODUCTION. 1.1. History of the lunar distance method. For centuries of seafaring history, a method for accurately measuring time to the degree of precision necessary to establish the navigator’s longitude was out of reach for practical purposes. It had been understood since the mid-16th century that the navigator’s longitude could be established either by reference to the moon’s angular distance from other celestial bodies - the “lunar distance”, measured by careful sextant observations - or by reference to a timepiece of sufficient accuracy. -
Chapter 6 Nautical Publications
CHAPTER 6 NAUTICAL PUBLICATIONS INTRODUCTION 600. Publications supply a ship’s chart and publication library. On-line publications produced by the U.S. government are The navigator uses many textual information sources available on the Web. to plan and conduct a voyage. These sources include notices to mariners, summary of corrections, sailing directions, 601. Maintenance and Carriage Requirements of light lists, tide tables, sight reduction tables, and almanacs. Navigation Publications While it is still possible to obtain hard-copy or printed nautical publications, increasingly these texts Vessels may maintain the navigation publications are found online or in other digital formats, including required by Title 33 of the Code of Federal Regulations Compact Disc-Read Only Memory (CD-ROM's) or Parts 161.4, 164.33, and 164.72 and SOLAS Chapter V Digital Versatile Disc (DVD's). Digital publications are Regulation 27 in electronic format provided that they are much less expensive than printed publications to repro- derived from the original source, are currently duce and distribute, and online publications have no corrected/up-to-date, and are readily accessible on the reproduction costs at all for the producer, and only mi- vessel's bridge by the crew. Adequate independent back-up nor costs to the user. Also, one DVD can hold entire arrangements shall be provided in case of libraries of information, making both distribution and electronic/technical failure. Such arrangements include: a on-board storage much easier. The advantages of electronic publications over second computer, CD, or portable mass storage device hard-copy go beyond cost savings. They can be updated readily displayable to the navigation watch, or printed easier and more often, making it possible for mariners paper copies. -
Spherical Coordinate Systems
Spherical Coordinate Systems Exploring Space Through Math Pre-Calculus let's examine the Earth in 3-dimensional space. The Earth is a large spherical object. In order to find a location on the surface, The Global Pos~ioning System grid is used. The Earth is conventionally broken up into 4 parts called hemispheres. The North and South hemispheres are separated by the equator. The East and West hemispheres are separated by the Prime Meridian. The Geographic Coordinate System grid utilizes a series of horizontal and vertical lines. The horizontal lines are called latitude lines. The equator is the center line of latitude. Each line is measured in degrees to the North or South of the equator. Since there are 360 degrees in a circle, each hemisphere is 180 degrees. The vertical lines are called longitude lines. The Prime Meridian is the center line of longitude. Each hemisphere either East or West from the center line is 180 degrees. These lines form a grid or mapping system for the surface of the Earth, This is how latitude and longitude lines are represented on a flat map called a Mercator Projection. Lat~ude , l ong~ude , and elevalion allows us to uniquely identify a location on Earth but, how do we identify the pos~ion of another point or object above Earth's surface relative to that I? NASA uses a spherical Coordinate system called the Topodetic coordinate system. Consider the position of the space shuttle . The first variable used for position is called the azimuth. Azimuth is the horizontal angle Az of the location on the Earth, measured clockwise from a - line pointing due north. -
Pulsarplane D5.4 Final Report
NLR-CR-2015-243-PT16 PulsarPlane D5.4 Final Report Authors: H. Hesselink, P. Buist, B. Oving, H. Zelle, R. Verbeek, A. Nooroozi, C. Verhoeven, R. Heusdens, N. Gaubitch, S. Engelen, A. Kestilä, J. Fernandes, D. Brito, G. Tavares, H. Kabakchiev, D. Kabakchiev, B. Vasilev, V. Behar, M. Bentum Customer EC Contract number ACP2-GA-2013-335063 Owner PulsarPlane consortium Classification Public Date July 2015 PROJECT FINAL REPORT Grant Agreement number: 335063 Project acronym: PulsarPlane Project title: PulsarPlane Funding Scheme: FP7 L0 Period covered: from September 2013 to May 2015 Name of the scientific representative of the project's co-ordinator, Title and Organisation: H.H. (Henk) Hesselink Sr. R&D Engineer National Aerospace Laboratory, NLR Tel: +31.88.511.3445 Fax: +31.88.511.3210 E-mail: [email protected] Project website address: www.pulsarplane.eu Summary Contents 1 Introduction 4 1.1 Structure of the document 4 1.2 Acknowledgements 4 2 Final publishable summary report 5 2.1 Executive summary 5 2.2 Summary description of project context and objectives 6 2.2.1 Introduction 6 2.2.2 Description of PulsarPlane concept 6 2.2.3 Detection 8 2.2.4 Navigation 8 2.3 Main S&T results/foregrounds 9 2.3.1 Navigation based on signals from radio pulsars 9 2.3.2 Pulsar signal simulator 11 2.3.3 Antenna 13 2.3.4 Receiver 15 2.3.5 Signal processing 22 2.3.6 Navigation 24 2.3.7 Operating a pulsar navigation system 30 2.3.8 Performance 31 2.4 Potential impact and the main dissemination activities and exploitation of results 33 2.4.1 Feasibility 34 2.4.2 Costs, benefits and impact 35 2.4.3 Environmental impact 36 2.5 Public website 37 2.6 Project logo 37 2.7 Diagrams or photographs illustrating and promoting the work of the project 38 2.8 List of all beneficiaries with the corresponding contact names 39 3 Use and dissemination of foreground 41 4 Report on societal implications 46 5 Final report on the distribution of the European Union financial contribution 53 1 Introduction This document is the final report of the PulsarPlane project. -
6.- Methods for Latitude and Longitude Measurement
Chapter 6 Copyright © 1997-2004 Henning Umland All Rights Reserved Methods for Latitude and Longitude Measurement Latitude by Polaris The observed altitude of a star being vertically above the geographic north pole would be numerically equal to the latitude of the observer ( Fig. 6-1 ). This is nearly the case with the pole star (Polaris). However, since there is a measurable angular distance between Polaris and the polar axis of the earth (presently ca. 1°), the altitude of Polaris is a function of the local hour angle. The altitude of Polaris is also affected by nutation. To obtain the accurate latitude, several corrections have to be applied: = − ° + + + Lat Ho 1 a0 a1 a2 The corrections a0, a1, and a2 depend on LHA Aries , the observer's estimated latitude, and the number of the month. They are given in the Polaris Tables of the Nautical Almanac [12]. To extract the data, the observer has to know his approximate position and the approximate time. When using a computer almanac instead of the N. A., we can calculate Lat with the following simple procedure. Lat E is our estimated latitude, Dec is the declination of Polaris, and t is the meridian angle of Polaris (calculated from GHA and our estimated longitude). Hc is the computed altitude, Ho is the observed altitude (see chapter 4). = ( ⋅ + ⋅ ⋅ ) Hc arcsin sin Lat E sin Dec cos Lat E cos Dec cos t ∆ H = Ho − Hc Adding the altitude difference, ∆H, to the estimated latitude, we obtain the improved latitude: ≈ + ∆ Lat Lat E H The error of Lat is smaller than 0.1' when Lat E is smaller than 70° and when the error of Lat E is smaller than 2°, provided the exact longitude is known. -
Celestial Navigation At
Celestial Navigation at Sea Agenda • Moments in History • LOP (Bearing “Line of Position”) -- in piloting and celestial navigation • DR Navigation: Cornerstone of Navigation at Sea • Ocean Navigation: Combining DR Navigation with a fix of celestial body • Tools of the Celestial Navigator (a Selection, including Sextant) • Sextant Basics • Celestial Geometry • Time Categories and Time Zones (West and East) • From Measured Altitude Angles (the Sun) to LOP • Plotting a Sun Fix • Landfall Strategies: From NGA-Ocean Plotting Sheet to Coastal Chart Disclaimer! M0MENTS IN HISTORY 1731 John Hadley (English) and Thomas Godfrey (Am. Colonies) invent the Sextant 1736 John Harrison (English) invents the Marine Chronometer. Longitude can now be calculated (Time/Speed/Distance) 1766 First Nautical Almanac by Nevil Maskelyne (English) 1830 U.S. Naval Observatory founded (Nautical Almanac) An Ancient Practice, again Alive Today! Celestial Navigation Today • To no-one’s surprise, for most boaters today, navigation = electronics to navigate. • The Navy has long relied on it’s GPS-based Voyage Management System. (GPS had first been developed as a U.S. military “tool”.) • If celestial navigation comes to mind, it may bring up romantic notions or longing: Sailing or navigating “by the stars” • Yet, some study, teach and practice Celestial Navigation to keep the skill alive—and, once again, to keep our nation safe Celestial Navigation comes up in literature and film to this day: • Master and Commander with Russell Crowe and Paul Bettany. Film based on: • The “Aubrey and Maturin” novels by Patrick O’Brian • Horatio Hornblower novels by C. S. Forester • The Horatio Hornblower TV series, etc. • Airborne by William F.