Astronomical Markings at Three Sites on Fajada Butte
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Southwestern Monuments
SOUTHWESTERN MONUMENTS MONTHLY REPORT MAY 1939 UNITED STATES DEPARTMENT OF THE INTERIOR NATIONAL PARK SERVICE GPO W055 UNITED STATES DEPARTMENT OF THE INTERIOR *$*&*">&•• NATIONAL PARK SERVICE / •. •: . • • r. '• WASHINGTON ADDRESS ONLY THE DIRECTOR. NATIONAL PARK SERVICE April 2k. 1939. Memorandum for the Superintendent, Southwestern National Monuments: I am writing this as an open letter to you because all of us recognize the fine friendly spirit engendered by your Southwestern National Monuments n.onthly reports. I believe that all park and monument reports can be made as interesting and informative as yours. Your monthly report for L.erch i6 on my desk and I have glanced through its pages, checking your opening statements, stopping here and there to j.ick up en interesting sidelight, giving a few moments to the supplement, and then looking to your "Ruminations". The month isn't complete unless I read themJ As you know, the submission of the monthly reports from the field has been handled as another required routine statement by some of the field men. It seems to me you have strained every effort to rrake the reports from the Southwestern National Monuments an outstanding re flection of current events, history, and special topics; adding a good share of the personal problems and living conditions of that fine group of men and women that constitute your field organization. You have ac complished a great deal by making the report so interesting that the Custodians look forward to the opportunity of adding their notes. In issuing these new instructions, I am again requesting that the Superintendents and Custodians themselves take the time to put in writing the story of events, conditions, and administration in the parks and monuments they represent. -
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. -
Archaeoastronomy in the Ancient Americas
Journal of Archaeological Research, Vol. 11, No. 2, June 2003 ((CC 2003) Archaeoastronomy in the Ancient Americas Anthony F. Aveni11 Since its popular resurgence in the 1960s, the interdisciplinary field of archaeoas- tronomy, which seeks evidence from the written as well as the unwritten record to shed light on the nature and practice of astronomy and timekeeping in ancient civ- ilizations, has made ever-increasing significant use of the ararchaeological record.d. Thiss esessaybrieflytouchesesontheoriginandd historyy ofofthesesedevelopments,, discussess the methodology of archaeoastronomy, and assesses its contributions via the dis- cussssioionn ofof seselelectcted casese ststudieiess atat sisitetess inin Nortrth,h, Soututh,h, andd Mesosoamerericica.a. Spececifiifi-- cally, archaeology contributes significantly to clarifying the role of sky events in site planning. The rigorous repetition of axial alignments of sites and individual oddly shaped and/or oriented structures can be related to alterations in the calen- darr often initiated by crcrososs-cultururalal contact. TTogetherer withh evevidencee acquirired frfrom other forms of the ancient record, archaeology also helps clarify the relationship between functional and symbolic astronomical knowledge. In state-level societies, it offers graphic evidence that structures that served as chronographic markers also functioned as performative stages for seasonally timed rituals mandated by cosmic connections claimed by the rulership. KEY WORDS: archaeoastronomy; archaeology; architecture; orientation (alignment). HISTORICAL AND THEORETICAL PERSPECTIVE Mostst ancicientt cicivivililizazatitionss paidid sosome atattetentntioionn toto whatat goeses on inin ththee skskyy.. Thee periodic cycles of the sun, moon, and planets are the most pristine, predictable, and consequently, the most reliable natural phenomena on which to anchor the counting of the days and the making of the calendar. -
The Correct Qibla
The Correct Qibla S. Kamal Abdali P.O. Box 65207 Washington, D.C. 20035 [email protected] (Last Revised 1997/9/17)y 1 Introduction A book[21] published recently by Nachef and Kadi argues that for North America the qibla (i.e., the direction of Mecca) is to the southeast. As proof of this claim, they quote from a number of classical Islamic jurispru- dents. In further support of their view, they append testimonials from several living Muslim religious scholars as well as from several Canadian and US scientists. The consulted scientists—mainly geographers—suggest that the qibla should be identified with the rhumb line to Mecca, which is in the southeastern quadrant for most of North America. The qibla adopted by Nachef and Kadi (referred to as N&K in the sequel) is one of the eight directions N, NE, E, SE, S, SW, W, and NW, depending on whether the place whose qibla is desired is situated relatively east or west and north or south of Mecca; this direction is not the same as the rhumb line from the place to Mecca, but the two directions lie in the same quadrant. In their preliminary remarks, N&K state that North American Muslim communities used the southeast direction for the qibla without exception until the publication of a book[1] about 20 years ago. N&K imply that the use of the great circle for computing the qibla, which generally results in a direction in the north- eastern quadrant for North America, is a new idea, somehow original with that book. -
Celestial Coordinate Systems
Celestial Coordinate Systems Craig Lage Department of Physics, New York University, [email protected] January 6, 2014 1 Introduction This document reviews briefly some of the key ideas that you will need to understand in order to identify and locate objects in the sky. It is intended to serve as a reference document. 2 Angular Basics When we view objects in the sky, distance is difficult to determine, and generally we can only indicate their direction. For this reason, angles are critical in astronomy, and we use angular measures to locate objects and define the distance between objects. Angles are measured in a number of different ways in astronomy, and you need to become familiar with the different notations and comfortable converting between them. A basic angle is shown in Figure 1. θ Figure 1: A basic angle, θ. We review some angle basics. We normally use two primary measures of angles, degrees and radians. In astronomy, we also sometimes use time as a measure of angles, as we will discuss later. A radian is a dimensionless measure equal to the length of the circular arc enclosed by the angle divided by the radius of the circle. A full circle is thus equal to 2π radians. A degree is an arbitrary measure, where a full circle is defined to be equal to 360◦. When using degrees, we also have two different conventions, to divide one degree into decimal degrees, or alternatively to divide it into 60 minutes, each of which is divided into 60 seconds. These are also referred to as minutes of arc or seconds of arc so as not to confuse them with minutes of time and seconds of time. -
Positional Astronomy Coordinate Systems
Positional Astronomy Observational Astronomy 2019 Part 2 Prof. S.C. Trager Coordinate systems We need to know where the astronomical objects we want to study are located in order to study them! We need a system (well, many systems!) to describe the positions of astronomical objects. The Celestial Sphere First we need the concept of the celestial sphere. It would be nice if we knew the distance to every object we’re interested in — but we don’t. And it’s actually unnecessary in order to observe them! The Celestial Sphere Instead, we assume that all astronomical sources are infinitely far away and live on the surface of a sphere at infinite distance. This is the celestial sphere. If we define a coordinate system on this sphere, we know where to point! Furthermore, stars (and galaxies) move with respect to each other. The motion normal to the line of sight — i.e., on the celestial sphere — is called proper motion (which we’ll return to shortly) Astronomical coordinate systems A bit of terminology: great circle: a circle on the surface of a sphere intercepting a plane that intersects the origin of the sphere i.e., any circle on the surface of a sphere that divides that sphere into two equal hemispheres Horizon coordinates A natural coordinate system for an Earth- bound observer is the “horizon” or “Alt-Az” coordinate system The great circle of the horizon projected on the celestial sphere is the equator of this system. Horizon coordinates Altitude (or elevation) is the angle from the horizon up to our object — the zenith, the point directly above the observer, is at +90º Horizon coordinates We need another coordinate: define a great circle perpendicular to the equator (horizon) passing through the zenith and, for convenience, due north This line of constant longitude is called a meridian Horizon coordinates The azimuth is the angle measured along the horizon from north towards east to the great circle that intercepts our object (star) and the zenith. -
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. -
On the Choice of Average Solar Zenith Angle
2994 JOURNAL OF THE ATMOSPHERIC SCIENCES VOLUME 71 On the Choice of Average Solar Zenith Angle TIMOTHY W. CRONIN Program in Atmospheres, Oceans, and Climate, Massachusetts Institute of Technology, Cambridge, Massachusetts (Manuscript received 6 December 2013, in final form 19 March 2014) ABSTRACT Idealized climate modeling studies often choose to neglect spatiotemporal variations in solar radiation, but doing so comes with an important decision about how to average solar radiation in space and time. Since both clear-sky and cloud albedo are increasing functions of the solar zenith angle, one can choose an absorption- weighted zenith angle that reproduces the spatial- or time-mean absorbed solar radiation. Calculations are performed for a pure scattering atmosphere and with a more detailed radiative transfer model and show that the absorption-weighted zenith angle is usually between the daytime-weighted and insolation-weighted zenith angles but much closer to the insolation-weighted zenith angle in most cases, especially if clouds are re- sponsible for much of the shortwave reflection. Use of daytime-average zenith angle may lead to a high bias in planetary albedo of approximately 3%, equivalent to a deficit in shortwave absorption of approximately 22 10 W m in the global energy budget (comparable to the radiative forcing of a roughly sixfold change in CO2 concentration). Other studies that have used general circulation models with spatially constant insolation have underestimated the global-mean zenith angle, with a consequent low bias in planetary albedo of ap- 2 proximately 2%–6% or a surplus in shortwave absorption of approximately 7–20 W m 2 in the global energy budget. -
Astronomy I – Vocabulary You Need to Know
Astronomy I – Vocabulary you need to know: Altitude – Angular distance above or below the horizon, measured along a vertical circle, to the celestial object. Angular measure – Measurement in terms of angles or degrees of arc. An entire circle is divided into 360 º, each degree in 60 ´ (minutes), and each minute into 60 ´´ (seconds). This scale is used to denote, among other things, the apparent size of celestial bodies, their separation on the celestial sphere, etc. One example is the diameter of the Moon’s disc, which measures approximately 0.5 º= 30 ´. Azimuth – The angle along the celestial horizon, measured eastward from the north point, to the intersection of the horizon with the vertical circle passing through an object. Big Bang Theory – States that the universe began as a tiny but powerful explosion of space-time roughly 13.7 billion years ago. Cardinal points – The four principal points of the compass: North, South, East, West. Celestial equator – Is the great circle on the celestial sphere defined by the projection of the plane of the Earth’s equator. It divides the celestial sphere into the northern and southern hemisphere. The celestial equator has a declination of 0 º. Celestial poles – Points above which the celestial sphere appears to rotate. Celestial sphere – An imaginary sphere of infinite radius, in the centre of which the observer is located, and against which all celestial bodies appear to be projected. Constellation – A Precisely defined part of the celestial sphere. In the older, narrower meaning of the term, it is a group of fixed stars forming a characteristic pattern. -
M-Shape PV Arrangement for Improving Solar Power Generation Efficiency
applied sciences Article M-Shape PV Arrangement for Improving Solar Power Generation Efficiency Yongyi Huang 1,*, Ryuto Shigenobu 2 , Atsushi Yona 1, Paras Mandal 3 and Zengfeng Yan 4 and Tomonobu Senjyu 1 1 Department of Electrical and Electronics Engineering, University of the Ryukyus, Okinawa 903-0213, Japan; [email protected] (A.Y.); [email protected] (T.S.) 2 Department of Electrical and Electronics Engineering, University of Fukui, 3-9-1 Bunkyo, Fukui-city, Fukui 910-8507, Japan; [email protected] 3 Department of Electrical and Computer Engineering, University of Texas at El Paso, TX 79968, USA; [email protected] 4 School of Architecture, Xi’an University of Architecture and Technology, Shaanxi, Xi’an 710055, China; [email protected] * Correspondence: [email protected] Received: 25 November 2019; Accepted: 3 January 2020; Published: 10 January 2020 Abstract: This paper presents a novel design scheme to reshape the solar panel configuration and hence improve power generation efficiency via changing the traditional PVpanel arrangement. Compared to the standard PV arrangement, which is the S-shape, the proposed M-shape PV arrangement shows better performance advantages. The sky isotropic model was used to calculate the annual solar radiation of each azimuth and tilt angle for the six regions which have different latitudes in Asia—Thailand (Bangkok), China (Hong Kong), Japan (Naha), Korea (Jeju), China (Shenyang), and Mongolia (Darkhan). The optimal angle of the two types of design was found. It emerged that the optimal tilt angle of the M-shape tends to 0. The two types of design efficiencies were compared using Naha’s geographical location and sunshine conditions. -
SUNDIALS \0> E O> Contents Page
REG: HER DEPARTMENT OF COMMERCE Letter 1 1-3 BUREAU OF STANDARDS Circular WASHINGTON LC 3^7 (October Jl., 1932) Prepared by R. E. Gould, Chief, Time Section ^ . fA SUNDIALS \0> e o> Contents Page I. Introduction „ 2 II. Corrections to be applied 2 1. Equation of time 3 III. Construction 4 1. Materials and foundation 4 2. Graphical construction for a horizontal sundial 4 3. Gnomon . 5 4. Mathematical construction ........ 6 5,. Illustrations Fig. 1. Layout of a dial 7 Fig. 2. Suggested forms g IV. Setting up the dial 9 V. Mottoes q VI. Bibliography -10 . , 2 I. Introduction One of the earliest methods of determining time was by observing the position of the shadow cast by an object placed in the sunshine. As the day advances the shadow changes and its position at any instant gives an indication of the time. The relative length of the shadow at midday can also be used to indicate the season of the year. It is thought that one of the purposes of the great pyramids of Egypt was to indicate the time of day and the progress of the seasons. Although the origin of the sundial is very obscure, it is known to have been used in very early times in ancient Babylonia. One of the earliest recorded is the Dial of Ahaz 0th Century, B. C. mentioned in the Bible, II Kings XX: 0-11. , The Greeks used sundials in the 4th Century B. C. and one was set up in Rome in 233 B. C. Today sundials are used largely for decorative purposes in gardens or on lawns, and many inquiries have reached the Bureau of Standards regarding the construction and erection of such dials. -
Using the SFA Star Charts and Understanding the Equatorial Coordinate System
Using the SFA Star Charts and Understanding the Equatorial Coordinate System SFA Star Charts created by Dan Bruton of Stephen F. Austin State University Notes written by Don Carona of Texas A&M University Last Updated: August 17, 2020 The SFA Star Charts are four separate charts. Chart 1 is for the north celestial region and chart 4 is for the south celestial region. These notes refer to the equatorial charts, which are charts 2 & 3 combined to form one long chart. The star charts are based on the Equatorial Coordinate System, which consists of right ascension (RA), declination (DEC) and hour angle (HA). From the northern hemisphere, the equatorial charts can be used when facing south, east or west. At the bottom of the chart, you’ll notice a series of twenty-four numbers followed by the letter “h”, representing “hours”. These hour marks are right ascension (RA), which is the equivalent of celestial longitude. The same point on the 360 degree celestial sphere passes overhead every 24 hours, making each hour of right ascension equal to 1/24th of a circle, or 15 degrees. Each degree of sky, therefore, moves past a stationary point in four minutes. Each hour of right ascension moves past a stationary point in one hour. Every tick mark between the hour marks on the equatorial charts is equal to 5 minutes. Right ascension is noted in ( h ) hours, ( m ) minutes, and ( s ) seconds. The bright star, Antares, in the constellation Scorpius. is located at RA 16h 29m 30s. At the left and right edges of the chart, you will find numbers marked in degrees (°) and being either positive (+) or negative(-).