Mid-Continental Magnetic Declination: a 200-Year Record Starting with Lewis and Clark Robert E
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Equatorial and Cartesian Coordinates • Consider the Unit Sphere (“Unit”: I.E
Coordinate Transforms Equatorial and Cartesian Coordinates • Consider the unit sphere (“unit”: i.e. declination the distance from the center of the (δ) sphere to its surface is r = 1) • Then the equatorial coordinates Equator can be transformed into Cartesian coordinates: right ascension (α) – x = cos(α) cos(δ) – y = sin(α) cos(δ) z x – z = sin(δ) y • It can be much easier to use Cartesian coordinates for some manipulations of geometry in the sky Equatorial and Cartesian Coordinates • Consider the unit sphere (“unit”: i.e. the distance y x = Rcosα from the center of the y = Rsinα α R sphere to its surface is r = 1) x Right • Then the equatorial Ascension (α) coordinates can be transformed into Cartesian coordinates: declination (δ) – x = cos(α)cos(δ) z r = 1 – y = sin(α)cos(δ) δ R = rcosδ R – z = sin(δ) z = rsinδ Precession • Because the Earth is not a perfect sphere, it wobbles as it spins around its axis • This effect is known as precession • The equatorial coordinate system relies on the idea that the Earth rotates such that only Right Ascension, and not declination, is a time-dependent coordinate The effects of Precession • Currently, the star Polaris is the North Star (it lies roughly above the Earth’s North Pole at δ = 90oN) • But, over the course of about 26,000 years a variety of different points in the sky will truly be at δ = 90oN • The declination coordinate is time-dependent albeit on very long timescales • A precise astronomical coordinate system must account for this effect Equatorial coordinates and equinoxes • To account -
Map and Compass
UE CG 039-089 2018_UE CG 039-089 2018 2018-08-29 9:57 AM Page 56 MAP The north magnetic pole is not the same as the geographic North Pole, also known as AND COMPASS true north, which is the northern end of the axis around which the earth spins. In fact, the north magnetic pole currently lies Background Information approximately 800 mi (1300 km) south of the geographic North Pole, in northern A compass is an instrument that people use Canada. And because the north magnetic to find a direction in relation to the earth as pole migrates at 6.6 mi (10 km) per year, its a whole. The magnetic needle in the location is constantly changing. compass, which is the freely moving needle in the compass that has a red end, points The meridians of longitude on maps and north. More specifically, this needle points globes are based upon the geographic to the north magnetic pole, the northern North Pole rather than the north magnetic end of the earth’s magnetic field, which pole. This means that magnetic north, the can be imagined as lines of magnetism that direction that a compass indicates as north, leave the south magnetic pole, flow north is not the same direction as maps indicate around the earth, and then enter the north for north. Magnetic declination, the magnetic pole. difference in the angle between magnetic north and true north must, therefore, be Any magnetized object, an object with two taken into account when navigating with a oppositely charged ends, such as a magnet map and a compass. -
2018 Issued BL 11192018 by DATE
2018 Issued Tukwila Business Licenses Sorted by Date of Application DBA Name Full Name Full Primary Address UBC # NAICS Creation NAICS Description Code Date TROYS ELECTRIC EDWARDS TROY A 2308 S L ST 602712157 238210 11/13/2018 Electrical Contractors TACOMA WA 98405 and Oth OLD MACK LLC OLD MACK LLC 2063 RYAN RD 604216260 423320 11/13/2018 Brick, Stone, and BUCKLEY WA 98321 Related Cons DRAGONS BREATH CREAMERY NITRO SNACK LLC 1027 SOUTHCENTER MALL 604290130 445299 11/9/2018 All Other Specialty Food TUKWILA WA 98188 Store NASH ELECTRIC LLC NASH ELECTRIC LLC 8316 71ST ST NE 603493097 238210 11/8/2018 Electrical Contractors MARYSVILLE WA 98270 and Oth BUDGET WIRING BUDGET WIRING 12612 23RD AVE S 601322435 238210 11/7/2018 Electrical Contractors BURIEN WA 98168 and Oth MATRIX ELECTRIC LLC MATRIX ELECTRIC LLC 15419 24TH AVE E 603032786 238210 11/7/2018 Electrical Contractors TACOMA WA 98445-4711 and Oth SOUNDBUILT HOMES LLC SOUNDBUILT HOMES LLC 12815 CANYON RD E 602883361 236115 11/7/2018 General Contractor M PUYALLUP WA 98373 1ST FIRE SOLUTIONS LLC 1ST FIRE SOLUTIONS LLC 4210 AUBURN WAY N 603380886 238220 11/6/2018 Plumbing, Heating, and 7 Air-Con AUBURN WA 98002 BJ'S CONSTRUCTION & BJ'S CONSTRUCTION & 609 26TH ST SE 601930579 236115 11/6/2018 General Contractor LANDSCAPING LANDSCAPING AUBURN WA 98002 CONSTRUCTION BROKERS INC CONSTRUCTION BROKERS INC 3500 DR GREAVES RD 604200594 236115 11/6/2018 General Contractor GRANDVIEW MO 64030 OBEC CONSULTING ENGINEERS OBEC CONSULTING ENGINEERS 4041 B ST 604305691 541330 11/6/2018 Engineering Services -
Dead Reckoning and Magnetic Declination: Unveiling the Mystery of Portolan Charts
Joaquim Alves Gaspar * Dead reckoning and magnetic declination: unveiling the mystery of portolan charts Keywords : medieval charts; cartometric analysis; history of cartography; map projections of old charts; portolan charts Summary For more than two centuries much has been written about the origin and method of con- struction of the Mediterranean portolan charts; still these matters continue to be the object of some controversy as no one explanation was able to gather unanimous agreement among researchers. If some theory seems to prevail, that is certainly the one asserting the medieval origin of the portolan chart, which would have followed the introduction of the marine compass in the Mediterranean, when the pilots start to plot the magnetic directions and es- timated distances between ports observed at sea. In the research here presented a numerical model which simulates the construction of the old portolan charts is tested. This model was developed in the light of the navigational methods available at the time, taking into account the spatial distribution of the magnetic declination in the Mediterranean, as estimated by a geomagnetic model based on paleomagnetic data. The results are then compared with two extant charts using cartometric analysis techniques. It is concluded that this type of meth- odology might contribute to a better understanding of the geometry and methods of con- struction of the portolan charts. Also, the good agreement between the geometry of the ana- lysed charts and the model’s results clearly supports the a-priori assumptions on their meth- od of construction. Introduction The medieval portolan chart has been considered as a unique achievement in the history of maps and marine navigation, and its appearance one of the most representative turn- ing points in the development of nautical cartography. -
3825 J. Schnizlein Category: Standards Track M
Network Working Group J. Polk Request for Comments: 3825 J. Schnizlein Category: Standards Track M. Linsner Cisco Systems July 2004 Dynamic Host Configuration Protocol Option for Coordinate-based Location Configuration Information Status of this Memo This document specifies an Internet standards track protocol for the Internet community, and requests discussion and suggestions for improvements. Please refer to the current edition of the "Internet Official Protocol Standards" (STD 1) for the standardization state and status of this protocol. Distribution of this memo is unlimited. Copyright Notice Copyright (C) The Internet Society (2004). Abstract This document specifies a Dynamic Host Configuration Protocol Option for the coordinate-based geographic location of the client. The Location Configuration Information (LCI) includes latitude, longitude, and altitude, with resolution indicators for each. The reference datum for these values is also included. Polk, et al. Standards Track [Page 1] RFC 3825 DHCP Option for Coordinate LCI July 2004 Table of Contents 1. Introduction . 2 1.1. Conventions . 3 1.2. Motivation . 3 1.3. Rationale . 4 2. Location Configuration Information (LCI) Elements. 4 2.1. Elements of the Location Configuration Information . 5 3. Security Considerations. 8 4. IANA Considerations. 8 5. Acknowledgements . 9 Appendix Calculations of Imprecision possible with the DHC LCI . 10 A.1. LCI of "White House" (Example 1) . 10 A.2. LCI of "Sears Tower" (Example 2) . 12 6. References . 13 6.1. Normative References . 13 6.2. Informational References . 14 7. Author Information . 14 8. Full Copyright Statement . 15 1. Introduction This document specifies a Dynamic Host Configuration Protocol [1] Option for the coordinate-based geographic location of the client, to be provided by the server. -
Promise Beheld and the Limits of Place
Promise Beheld and the Limits of Place A Historic Resource Study of Carlsbad Caverns and Guadalupe Mountains National Parks and the Surrounding Areas By Hal K. Rothman Daniel Holder, Research Associate National Park Service, Southwest Regional Office Series Number Acknowledgments This book would not be possible without the full cooperation of the men and women working for the National Park Service, starting with the superintendents of the two parks, Frank Deckert at Carlsbad Caverns National Park and Larry Henderson at Guadalupe Mountains National Park. One of the true joys of writing about the park system is meeting the professionals who interpret, protect and preserve the nation’s treasures. Just as important are the librarians, archivists and researchers who assisted us at libraries in several states. There are too many to mention individuals, so all we can say is thank you to all those people who guided us through the catalogs, pulled books and documents for us, and filed them back away after we left. One individual who deserves special mention is Jed Howard of Carlsbad, who provided local insight into the area’s national parks. Through his position with the Southeastern New Mexico Historical Society, he supplied many of the photographs in this book. We sincerely appreciate all of his help. And finally, this book is the product of many sacrifices on the part of our families. This book is dedicated to LauraLee and Lucille, who gave us the time to write it, and Talia, Brent, and Megan, who provide the reasons for writing. Hal Rothman Dan Holder September 1998 i Executive Summary Located on the great Permian Uplift, the Guadalupe Mountains and Carlsbad Caverns national parks area is rich in prehistory and history. -
Telecommunications Provider Locator
Telecommunications Provider Locator Industry Analysis & Technology Division Wireline Competition Bureau March 2009 This report is available for reference in the FCC’s Information Center at 445 12th Street, S.W., Courtyard Level. Copies may be purchased by contacting Best Copy and Printing, Inc., Portals II, 445 12th Street S.W., Room CY-B402, Washington, D.C. 20554, telephone 800-378-3160, facsimile 202-488-5563, or via e-mail at [email protected]. This report can be downloaded and interactively searched on the Wireline Competition Bureau Statistical Reports Internet site located at www.fcc.gov/wcb/iatd/locator.html. Telecommunications Provider Locator This report lists the contact information, primary telecommunications business and service(s) offered by 6,252 telecommunications providers. The last report was released September 7, 2007.1 The information in this report is drawn from providers’ Telecommunications Reporting Worksheets (FCC Form 499-A). It can be used by customers to identify and locate telecommunications providers, by telecommunications providers to identify and locate others in the industry, and by equipment vendors to identify potential customers. Virtually all providers of telecommunications must file FCC Form 499-A each year.2 These forms are not filed with the FCC but rather with the Universal Service Administrative Company (USAC), which serves as the data collection agent. The pool of filers contained in this edition consists of companies that operated and collected revenue during 2006, as well as new companies that file the form to fulfill the Commission’s registration requirement.3 Information from filings received by USAC after October 16, 2007, and from filings that were incomplete has been excluded from this report. -
2. Descriptive Astronomy (“Astronomy Without a Telescope”)
2. Descriptive Astronomy (“Astronomy Without a Telescope”) http://apod.nasa.gov/apod/astropix.html • How do we locate stars in the heavens? • What stars are visible from a given location? • Where is the sun in the sky at any given time? • Where are you on the Earth? An “asterism” is two stars that appear To be close in the sky but actually aren’t In 1930 the International Astronomical Union (IAU) ruled the heavens off into 88 legal, precise constellations. (52 N, 36 S) Every star, galaxy, etc., is a member of one of these constellations. Many stars are named according to their constellation and relative brightness (Bayer 1603). Sirius α − Centauri, α-Canis declination less http://calgary.rasc.ca/constellation.htm - list than -53o not Majoris, α-Orionis visible from SC http://www.google.com/sky/ Betelgeuse https://en.wikipedia.org/wiki/List_of_Messier_objects (1758 – 1782) Biggest constellation – Hydra – the female water snake 1303 square degrees, but Ursa Major and Virgo almost as big. Hydrus – the male water snake is much smaller – 2243 square degrees Smallest is Crux – the Southern Cross – 68 square degrees Brief History Some of the current constellations can be traced back to the inhabitants of the Euphrates valley, from whom they were handed down through the Greeks and Arabs. Few pictorial records of the ancient constellation figures have survived, but in the Almagest AD 150, Ptolemy catalogued the positions of 1,022 of the brightest stars both in terms of celestial latitude and longitude, and of their places in 48 constellations. The Ptolemaic constellations left a blank area centered not on the present south pole but on a point which, because of precession, would have been the south pole c. -
Appendix A. the Normal Geomagnetic Field in Hutchinson, Kansas (
Appendix A. The Normal Geomagnetic Field in Hutchinson, Kansas (http://www.ngdc.noaa.gov/cgi-bin/seg/gmag/fldsnth1.pl) Model: IGRF2000 Latitude: 38 deg, 3 min, 54 sec Longitude: -97 deg, 54 min, 50 sec Elevation: 0.50 km Date of Interest: 11/12/2003 ---------------------------------------------------------------------------------- D I H X Y Z F (deg) (deg) (nt) (nt) (nt) (nt) (nt) 5d 41m 66d 33m 21284 21179 2108 49067 53484 dD dI dH dX dY dZ dF (min/yr) (min/yr) (nT/yr) (nT/yr) (nT/yr) (nT/yr) (nT/yr) -6 -1 -16 -12 -39 -92 -91 ----------------------------------------------------------------------------------- Definitions D: Magnetic Declination Magnetic declination is sometimes referred to as the magnetic variation or the magnetic compass correction. It is the angle formed between true north and the projection of the magnetic field vector on the horizontal plane. By convention, declination is measured positive east and negative west (i.e. D -6 means 6 degrees west of north). For surveying practices, magnetic declination is the angle through which a magnetic compass bearing must be rotated in order to point to the true bearing as opposed to the magnetic bearing. Here the true bearing is taken as the angle measured from true North. Declination is reported in units of degrees. One degree is made up of 60 minutes. To convert from decimal degrees to degrees and minutes, multiply the decimal part by 60. For example, 6.5 degrees is equal to 6 degrees and 30 minutes (0.5 x 60 = 30). If west declinations are assumed to be negative while east declination are considered positive then True bearing = Magnetic bearing + Magnetic declination An example: The magnetic bearing of a property line has an azimuth of 72 degrees East. -
1 the Equatorial Coordinate System
General Astronomy (29:61) Fall 2013 Lecture 3 Notes , August 30, 2013 1 The Equatorial Coordinate System We can define a coordinate system fixed with respect to the stars. Just like we can specify the latitude and longitude of a place on Earth, we can specify the coordinates of a star relative to a coordinate system fixed with respect to the stars. Look at Figure 1.5 of the textbook for a definition of this coordinate system. The Equatorial Coordinate System is similar in concept to longitude and latitude. • Right Ascension ! longitude. The symbol for Right Ascension is α. The units of Right Ascension are hours, minutes, and seconds, just like time • Declination ! latitude. The symbol for Declination is δ. Declination = 0◦ cor- responds to the Celestial Equator, δ = 90◦ corresponds to the North Celestial Pole. Let's look at the Equatorial Coordinates of some objects you should have seen last night. • Arcturus: RA= 14h16m, Dec= +19◦110 (see Appendix A) • Vega: RA= 18h37m, Dec= +38◦470 (see Appendix A) • Venus: RA= 13h02m, Dec= −6◦370 • Saturn: RA= 14h21m, Dec= −11◦410 −! Hand out SC1 charts. Find these objects on them. Now find the constellation of Orion, and read off the Right Ascension and Decli- nation of the middle star in the belt. Next week in lab, you will have the chance to use the computer program Stellar- ium to display the sky and find coordinates of objects (stars, planets). 1.1 Further Remarks on the Equatorial Coordinate System The Equatorial Coordinate System is fundamentally established by the rotation axis of the Earth. -
Exercise 1.0 the CELESTIAL EQUATORIAL COORDINATE
Exercise 1.0 THE CELESTIAL EQUATORIAL COORDINATE SYSTEM Equipment needed: A celestial globe showing positions of bright stars. I. Introduction There are several different ways of representing the appearance of the sky or describing the locations of objects we see in the sky. One way is to imagine that every object in the sky is located on a very large and distant sphere called the celestial sphere . This imaginary sphere has its center at the center of the Earth. Since the radius of the Earth is very small compared to the radius of the celestial sphere, we can imagine that this sphere is also centered on any person or observer standing on the Earth's surface. Every celestial object (e.g., a star or planet) has a definite location in the sky with respect to some arbitrary reference point. Once defined, such a reference point can be used as the origin of a celestial coordinate system. There is an astronomically important point in the sky called the vernal equinox , which astronomers use as the origin of such a celestial coordinate system . The meaning and significance of the vernal equinox will be discussed later. In an analogous way, we represent the surface of the Earth by a globe or sphere. Locations on the geographic sphere are specified by the coordinates called longitude and latitude . The origin for this geographic coordinate system is the point where the Prime Meridian and the Geographic Equator intersect. This is a point located off the coast of west-central Africa. To specify a location on a sphere, the coordinates must be angles, since a sphere has a curved surface. -
Field Astronomy Circumpolar Star at Elongation ➢ at Elongation a Circumpolar Star Is at the Farthest Position from the Pole Either in the East Or West
Field Astronomy Circumpolar Star at Elongation ➢ At elongation a circumpolar star is at the farthest position from the pole either in the east or west. ➢ When the star is at elongation (East or West), which is perpendicular to the N-S line. ➢ Thus the ZMP is 90° as shown in the figure below. Distances between two points on the Earth’s surface ➢ Direct distance From the fig. above, in the spherical triangle APB P = Difference between longitudes of A and B BP = a = co-latitude of B = 90 – latitude of B AP = b = co-latitude of A = 90 – latitude of A Apply the cosine rule: cosp− cos a cos b CosP = sinab sin Find the value of p = AB Then the distance AB = arc length AB = ‘p’ in radians × radius of the earth ➢ Distance between two points on a parallel of latitude Let A and B be the two points on the parallel latitude θ. Let A’ and B’ be the corresponding points on the equator having the same longitudes (ФB, ФA). Thus from the ∆ O’AB AB = O’B(ФB - ФA) From the ∆ O’BO o O’B = OB’ sin (90- θ) Since =BOO ' 90 = R cos θ where R=Radius of the Earth. AB= (ФB - ФA) R cos θ where ФB , ФA are longitudes of B and A in radians. Practice Problems 1. Find the shortest distance between two places A and B on the earth for the data given below: Latitude of A = 14° N Longitude of A = 60°30‘E Latitude of B = 12° N Longitude of A = 65° E Find also direction of B from A.