Files and their Relationships

Size: px
Start display at page:

Download "Files and their Relationships"

Transcription

1 Contents Preface Files and their Relationships 1 The Java Programming Language What is Java? Installing Java: A Simple Program Hello World Syntax Packages JAR Files Language Details Reserved Words Types and Variables Strings, Arrays, Pointers and null Operators Statements Exercises Object-Oriented Features Classes and Objects Encapsulation: public, private and protected Modiers: static and final Constructors and this Extending Classes and Inheritance Everything is an Object Casting Exercises Class-like Objects Exceptions Necessary Classes Useful Examples An Input Line Reader Finding Files Giving the User Choices A Dialog for Text Input iii ix xv

2 iv CONTENTS 2 Spatial Geometry Lines and Planes Translation and Rotation Using 4 4 Matrices Reection Two-dimensional Reection Three-dimensional Reection Projection Parallel Projection Perspective Projection Shading Spheres A Simple Shaded Sphere The Projection A Shading Model The Window Class The Drawing Class Mobile Eye The Drawing Class Keyboard and Mouse Events Geometry Drawable Sphere Overview Drawing the Curves Surface Features Viewing JPEG Files Pasting an Image A Sphere with Surface Details The Ellipse and Kepler's Laws Denition and Parts of the Ellipse Tangent to the Ellipse Polar Representation Kepler's Second and Third Laws Determining Perihelion and Aphelion Kepler's Equation An Animation Astronomy: Overview Introduction An Animation of the Sun and Earth Improved Sphere Class Keyboard Listener Sphere with Equator and Ecliptic A Simple Animation An Improved Animation Coordinate Systems Equatorial Coordinates

3 CONTENTS v Horizon Coordinates Ecliptic Coordinates Time Astronomy: Details Changing Coordinate Systems Hour Angle Right Ascension Equatorial Ecliptic Horizon Equatorial Code for Coordinate Conversion Long-term Variation of Coordinate Axes Qualitative Description Formulas Code for Precession and Nutation Animation of Precession Time Time: A Summary Time: Utility Code Animating the Equation of Time Factors that are Ignored Time Refraction Aberration Relativistic Eects Parallax The Shape of the Earth The JPL Data Chebyshev Polynomials Overview of the Data The ASCII Files The Binary Files Using the JPL Data Serialization Converting the JPL Data to Java Format Coordinates of the Planets Animating the JPL Data A Simple Animation Improving the Animation PlanetState MobileAnim MobilePane

4 vi CONTENTS 9 Adding the Stars Stellar Position and Proper Motion Data The Stars on the Celestial Sphere Displaying the Stars on an OutSphere The StarWindow main()-class Animation of Proper Motion The Planets on the Celestial Sphere Displaying the Planets on an OutSphere The JPLSphereAnim main()-class The Celestial Sphere with Stars and Planets Spaceship Earth View from Inside a Sphere: Code The InSphere Class Helper Classes Explanation of InSphere Projection Zooming In and Out Viewing the Stars InsideStarSphere InsideStarWindow The Stars and Planets InsideJPLSphere CEarthPane CEarthAnim View from Earth's Surface Generating a Static View Animating the View A Mathematical Review 297 A.1 Notation A.2 Trigonometry A.2.1 Inverse Trigonometric Functions A.2.2 Arc-tangent A.2.3 Trigonometric Identities A.3 Vectors A.3.1 The Dot Product A.3.2 The Cross Product A.3.3 Velocity Vector and Angular Velocity A.4 Polar and Spherical Coordinates A.5 Matrices A.5.1 Matrix Algebra A.5.2 The Determinant A.6 Linear Independence A.7 Spherical Trigonometry A.8 Under the Rug A.8.1 Tangents to a Curve or Surface

5 CONTENTS vii A.8.2 Area and Stretching A.9 Utility Code B Contents of the CD 331 B.1 List of Files B.2 Running the Programs B.3 The Java Front-end B.3.1 ListDialog B.3.2 Main B.3.3 CmdRunner B.3.4 CmdLineWindow B.3.5 LineListener B.3.6 InStreamGlue B.3.7 OutStreamGlue B.3.8 CmdLineDocFilter Bibliography 345 Index 351

Files and their Relationships

Files and their Relationships Files and their Relationships The tables below give an overview of the Java source-code les found on the accompanying CD. The les used by the rsf.jfe package 2 are not included in any of the tables here.

More information

CELESTIAL MECHANICS. Part I. Mathematical Preambles

CELESTIAL MECHANICS. Part I. Mathematical Preambles Chapter 1. Numerical Methods CELESTIAL MECHANICS Part I. Mathematical Preambles 1.1 Introduction 1.2 Numerical Integration 1.3 Quadratic Equations 1.4 The Solution of f(x) = 0 1.5 The Solution of Polynomial

More information

Ay 1 Lecture 2. Starting the Exploration

Ay 1 Lecture 2. Starting the Exploration Ay 1 Lecture 2 Starting the Exploration 2.1 Distances and Scales Some Commonly Used Units Distance: Astronomical unit: the distance from the Earth to the Sun, 1 au = 1.496 10 13 cm ~ 1.5 10 13 cm Light

More information

The Celestial Sphere. GEK1506 Heavenly Mathematics: Cultural Astronomy

The Celestial Sphere. GEK1506 Heavenly Mathematics: Cultural Astronomy The Celestial Sphere GEK1506 Heavenly Mathematics: Cultural Astronomy Helmer Aslaksen Department of Mathematics National University of Singapore aslaksen@math.nus.edu.sg www.math.nus.edu.sg/aslaksen/ The

More information

History of Astronomy. Historical People and Theories

History of Astronomy. Historical People and Theories History of Astronomy Historical People and Theories Plato Believed he could solve everything through reasoning. Circles and Spheres are good because they are perfect (never ending) and pleasing to the

More information

PHYS 155 Introductory Astronomy

PHYS 155 Introductory Astronomy PHYS 155 Introductory Astronomy - observing sessions: Sunday Thursday, 9pm, weather permitting http://www.phys.uconn.edu/observatory - Exam - Tuesday March 20, - Review Monday 6:30-9pm, PB 38 Marek Krasnansky

More information

CSE P503 - Project 1: Navigation System.

CSE P503 - Project 1: Navigation System. CSE P503 - Project 1: Navigation System. 1. Introduction The goal of this project is to design and verify a probe navigation system. Assume a radio telescope (marked by the red dot) sits at the center

More information

PHYS 160 Astronomy Test #1 Fall 2017 Version B

PHYS 160 Astronomy Test #1 Fall 2017 Version B PHYS 160 Astronomy Test #1 Fall 2017 Version B 1 I. True/False (1 point each) Circle the T if the statement is true, or F if the statement is false on your answer sheet. 1. An object has the same weight,

More information

CHARTING THE HEAVENS USING A VIRTUAL PLANETARIUM

CHARTING THE HEAVENS USING A VIRTUAL PLANETARIUM Name Partner(s) Section Date CHARTING THE HEAVENS USING A VIRTUAL PLANETARIUM You have had the opportunity to look at two different tools to display the night sky, the celestial sphere and the star chart.

More information

Earth Science, 11e. Origin of Modern Astronomy Chapter 21. Early history of astronomy. Early history of astronomy. Early history of astronomy

Earth Science, 11e. Origin of Modern Astronomy Chapter 21. Early history of astronomy. Early history of astronomy. Early history of astronomy 2006 Pearson Prentice Hall Lecture Outlines PowerPoint Chapter 21 Earth Science 11e Tarbuck/Lutgens This work is protected by United States copyright laws and is provided solely for the use of instructors

More information

2) The number one million can be expressed in scientific notation as: (c) a) b) 10 3 c) 10 6 d)

2) The number one million can be expressed in scientific notation as: (c) a) b) 10 3 c) 10 6 d) Astronomy Phys 181 Midterm Examination Choose the best answer from the choices provided. 1) What is the range of values that the coordinate Declination can have? (a) a) -90 to +90 degrees b) 0 to 360 degrees

More information

Early history of astronomy. Early history of astronomy. Positions in the sky. Lecture 3: The Sun & Constellations

Early history of astronomy. Early history of astronomy. Positions in the sky. Lecture 3: The Sun & Constellations Lecture 3: The Sun & Constellations Professor Kenny L. Tapp Early history of astronomy Birth of modern astronomy Noted scientist Johannes Kepler (1571-1630) Ushered in new astronomy Planets revolve around

More information

ASTROPHYSICS. K D Abhyankar. Universities Press S T A R S A ND G A L A X I E S

ASTROPHYSICS. K D Abhyankar. Universities Press S T A R S A ND G A L A X I E S ASTROPHYSICS S T A R S A ND G A L A X I E S K D Abhyankar Universities Press Contents Foreword vii Preface ix 1 Introduction 1 1.1 ' Astronomy and astrophysics 1 1.2 Importance of astronomy 2 1.3 Methods

More information

xvi xxiii xxvi Construction of the Real Line 2 Is Every Real Number Rational? 3 Problems Algebra of the Real Numbers 7

xvi xxiii xxvi Construction of the Real Line 2 Is Every Real Number Rational? 3 Problems Algebra of the Real Numbers 7 About the Author v Preface to the Instructor xvi WileyPLUS xxii Acknowledgments xxiii Preface to the Student xxvi 1 The Real Numbers 1 1.1 The Real Line 2 Construction of the Real Line 2 Is Every Real

More information

Lab 5. Parallax Measurements and Determining Distances. 5.1 Overview

Lab 5. Parallax Measurements and Determining Distances. 5.1 Overview Lab 5 Parallax Measurements and Determining Distances 5.1 Overview Exercise five centers on a hands-on activity where students perform their own parallax measurements, measuring angular shifts in nearby

More information

Earth Science, 13e Tarbuck & Lutgens

Earth Science, 13e Tarbuck & Lutgens Earth Science, 13e Tarbuck & Lutgens Origins of Modern Astronomy Earth Science, 13e Chapter 21 Stanley C. Hatfield Southwestern Illinois College Early history of astronomy Ancient Greeks Used philosophical

More information

LOCATING CELESTIAL OBJECTS: COORDINATES AND TIME. a. understand the basic concepts needed for any astronomical coordinate system.

LOCATING CELESTIAL OBJECTS: COORDINATES AND TIME. a. understand the basic concepts needed for any astronomical coordinate system. UNIT 2 UNIT 2 LOCATING CELESTIAL OBJECTS: COORDINATES AND TIME Goals After mastery of this unit, you should: a. understand the basic concepts needed for any astronomical coordinate system. b. understand

More information

An Introduction to Celestial Mechanics

An Introduction to Celestial Mechanics An Introduction to Celestial Mechanics This accessible text on classical celestial mechanics the principles governing the motions of bodies in the solar system provides a clear and concise treatment of

More information

Position 3. None - it is always above the horizon. Agree with student 2; star B never crosses horizon plane, so it can t rise or set.

Position 3. None - it is always above the horizon. Agree with student 2; star B never crosses horizon plane, so it can t rise or set. Position 3 None - it is always above the horizon. N E W S Agree with student 2; star B never crosses horizon plane, so it can t rise or set. Imaginary plane No; the Earth blocks the view. Star A at position

More information

Unit 2: Celestial Mechanics

Unit 2: Celestial Mechanics Unit 2: Celestial Mechanics The position of the Earth Ptolemy (90 168 AD) Made tables that allowed a user to locate the position of a planet at any past, present, or future date. In order to maintain circular

More information

ASTRONOMICAL COORDINATE SYSTEMS CELESTIAL SPHERE

ASTRONOMICAL COORDINATE SYSTEMS CELESTIAL SPHERE ASTRONOMICAL COORDINATE SYSTEMS CELESTIAL SPHERE To the naked eye, stars appear fixed on the sky with respect to one another. These patterns are often grouped into constellations. Angular measurements

More information

Professor Emeritus in Astronomy, Honorary Lecturer and Senior Research Fellow, University of Glasgow

Professor Emeritus in Astronomy, Honorary Lecturer and Senior Research Fellow, University of Glasgow Astronomy: Principles and Practice Fourth Edition A E Roy, PhD, FRAS, FRSE, FBIS Professor Emeritus in Astronomy, Honorary Lecturer and Senior Research Fellow, University of Glasgow D Clarke, PhD, MInstP,

More information

Lecture Module 2: Spherical Geometry, Various Axes Systems

Lecture Module 2: Spherical Geometry, Various Axes Systems 1 Lecture Module 2: Spherical Geometry, Various Axes Systems Satellites in space need inertial frame of reference for attitude determination. In a true sense, all bodies in universe are in motion and inertial

More information

The Position of the Sun. Berthold K. P. Horn. necessary to know the position of the sun in the sky. This is particularly

The Position of the Sun. Berthold K. P. Horn. necessary to know the position of the sun in the sky. This is particularly MASSACHUSETTS INSTITUTE OF TECHNOLOGY ARTIFICIAL INTELLIGENCE LABORATORY Working Paper No. 162 March 1978 The Position of the Sun Berthold K. P. Horn Abstract. The appearance of a surface depends dramatically

More information

ASTR 2310: Chapter 2

ASTR 2310: Chapter 2 Emergence of Modern Astronomy Early Greek Astronomy Ptolemaic Astronomy Copernican Astronomy Galileo: The First Modern Scientist Kepler's Laws of Planetary Motion Proof of the Earth's Motion Early Greek

More information

CHARTING THE HEAVENS USING A VIRTUAL PLANETARIUM

CHARTING THE HEAVENS USING A VIRTUAL PLANETARIUM Name Partner(s) Section Date CHARTING THE HEAVENS USING A VIRTUAL PLANETARIUM You have had the opportunity to look at two different tools to display the night sky, the celestial sphere and the star chart.

More information

Proper Motion of Barnards Star

Proper Motion of Barnards Star How to use Virtual Observatory Proper Motion of Barnards Star Florian Freistetter, ZAH, Heidelberg florian@ari.uni-heidelberg.de Stars do move! Even if stars are called fixed stars sometime, y are not

More information

[05] Historical Perspectives (9/12/17)

[05] Historical Perspectives (9/12/17) 1 [05] Historical Perspectives (9/12/17) Upcoming Items 1. Homework #2 due now. 2. Read Ch. 4.1 4.2 and do self-study quizzes. 3. Homework #3 due in one week. Ptolemaic system http://static.newworldencyclopedia.org/thumb/3/3a/

More information

Learning Objectives. one night? Over the course of several nights? How do true motion and retrograde motion differ?

Learning Objectives. one night? Over the course of several nights? How do true motion and retrograde motion differ? Kepler s Laws Learning Objectives! Do the planets move east or west over the course of one night? Over the course of several nights? How do true motion and retrograde motion differ?! What are geocentric

More information

Kirkwood Gaps. Phil Peterman Physics 527 Computational Physics Project 1

Kirkwood Gaps. Phil Peterman Physics 527 Computational Physics Project 1 Introduction Kirkwood Gaps Phil Peterman Physics 527 Computational Physics Project 1 Resonance phenomena, or tendencies for systems to oscillate at particular frequencies, occur in many distinct branches

More information

The point in an orbit around the Sun at which an object is at its greatest distance from the Sun (Opposite of perihelion).

The point in an orbit around the Sun at which an object is at its greatest distance from the Sun (Opposite of perihelion). ASTRONOMY TERMS Albedo Aphelion Apogee A measure of the reflectivity of an object and is expressed as the ratio of the amount of light reflected by an object to that of the amount of light incident upon

More information

Foundations of Astrophysics

Foundations of Astrophysics Foundations of Astrophysics Barbara Ryden The Ohio State University Bradley M. Peterson The Ohio State University Preface xi 1 Early Astronomy 1 1.1 The Celestial Sphere 1 1.2 Coordinate Systems on a Sphere

More information

Test 1 Review Chapter 1 Our place in the universe

Test 1 Review Chapter 1 Our place in the universe Test 1 Review Bring Gator 1 ID card Bring pencil #2 with eraser No use of calculator or any electronic device during the exam We provide the scantrons Formulas will be projected on the screen You can use

More information

Chapter 16 The Solar System

Chapter 16 The Solar System Chapter 16 The Solar System Finding the Standard Time and Date at Another Location Example When it is 12 noon in London, what is the standard time in Denver, Colorado (40 N, 105 W)? Section 15.3 Finding

More information

SkyGlobe Planetarium

SkyGlobe Planetarium SkyGlobe Planetarium Introduction: This exercise will simulate the night sky and demonstrate a number of principles of the celestial sphere and the motions of the Earth and planets. Getting Started: 1.

More information

Tycho Brahe

Tycho Brahe Tycho Brahe 1546-1601 At the time of Shakespeare and Elizabeth I and Champlain Lost part of his nose in a duel over who was the best mathematician At 27 he measured the distance of a supernova and a comet

More information

AJJAR Astronomical Javascript/Java Applet Resource

AJJAR Astronomical Javascript/Java Applet Resource AJJAR Astronomical Javascript/Java Applet Resource Siobahn Morgan Department of Earth Science University of Northern Iowa Siobahn.Morgan@uni.edu Abstract The AJJAR (Astronomical Javascript/Java Applet

More information

The Flammarion engraving by an unknown artist, first documented in Camille Flammarion's 1888 book L'atmosphère: météorologie populaire.

The Flammarion engraving by an unknown artist, first documented in Camille Flammarion's 1888 book L'atmosphère: météorologie populaire. The Flammarion engraving by an unknown artist, first documented in Camille Flammarion's 1888 book L'atmosphère: météorologie populaire. Horizon Coordinates: Altitude (angular height above horizon) Azimuth

More information

OUTSIDE LAB 4: Finding the Distances and Sizes of Remote Objects

OUTSIDE LAB 4: Finding the Distances and Sizes of Remote Objects OUTSIDE LAB 4: Finding the Distances and Sizes of Remote Objects OBJECTIVE: To use the principles of trigonometry to find the distances to remote objects and then to find their dimensions. DISCUSSION:

More information

Introduction The Role of Astronomy p. 3 Astronomical Objects of Research p. 4 The Scale of the Universe p. 7 Spherical Astronomy Spherical

Introduction The Role of Astronomy p. 3 Astronomical Objects of Research p. 4 The Scale of the Universe p. 7 Spherical Astronomy Spherical Introduction The Role of Astronomy p. 3 Astronomical Objects of Research p. 4 The Scale of the Universe p. 7 Spherical Astronomy Spherical Trigonometry p. 9 The Earth p. 12 The Celestial Sphere p. 14 The

More information

Space-Time Reference Systems

Space-Time Reference Systems Space-Time Reference Systems Bearbeitet von Michael Soffel, Ralf Langhans 1. Auflage 2012. Buch. xiv, 314 S. Hardcover ISBN 978 3 642 30225 1 Format (B x L): 15,5 x 23,5 cm Gewicht: 654 g Weitere Fachgebiete

More information

Exam# 1 Review Gator 1 Keep the first page of the exam. Scores will be published using the exam number Chapter 0 Charting the Heavens

Exam# 1 Review Gator 1 Keep the first page of the exam. Scores will be published using the exam number Chapter 0 Charting the Heavens Exam# 1 Review Exam is Wednesday October 11 h at 10:40AM, room FLG 280 Bring Gator 1 ID card Bring pencil #2 (HB) with eraser. We provide the scantrons No use of calculator or any electronic device during

More information

Astronomy. 1. (3 pts.) What is meant by the apparent magnitude of a star?

Astronomy. 1. (3 pts.) What is meant by the apparent magnitude of a star? Astronomy Name NaSc 109 Summer 2018 Exam 2 Don't Panic! Take a big deep breath... hold it... holllld it now let it out. Use your available time on this exam very efficiently; if you don't know an answer

More information

PHYS 160 Astronomy Test #1 Name Answer Key Test Version A

PHYS 160 Astronomy Test #1 Name Answer Key Test Version A PHYS 160 Astronomy Test #1 Name Answer Key Test Version A True False Multiple Choice 1. T 1. C 2. F 2. B 3. T 3. A 4. T 4. E 5. T 5. B 6. F 6. A 7. F 7. A 8. T 8. D 9. F 9. D 10. F 10. B 11. B 12. D Definitions

More information

r p L = = So Jupiter has the greater angular momentum.

r p L = = So Jupiter has the greater angular momentum. USAAAO 2015 Second Round Solutions Problem 1 T 10000 K, m 5, d 150 pc m M 5 log(d/10) M m 5 log(d/10) 5 5 log(15) 0.88 We compare this with the absolute magnitude of the sun, 4.83. solar 100 (4.83 0.88)/5

More information

Exam #1 Covers material from first day of class, all the way through Tides and Nature of Light Supporting reading chapters 1-5 Some questions are

Exam #1 Covers material from first day of class, all the way through Tides and Nature of Light Supporting reading chapters 1-5 Some questions are Exam #1 Covers material from first day of class, all the way through Tides and Nature of Light Supporting reading chapters 1-5 Some questions are concept questions, some involve working with equations,

More information

Today. Planetary Motion. Tycho Brahe s Observations. Kepler s Laws of Planetary Motion. Laws of Motion. in physics

Today. Planetary Motion. Tycho Brahe s Observations. Kepler s Laws of Planetary Motion. Laws of Motion. in physics Planetary Motion Today Tycho Brahe s Observations Kepler s Laws of Planetary Motion Laws of Motion in physics Page from 1640 text in the KSL rare book collection That the Earth may be a Planet the seeming

More information

Physics Lab #4: Learning Starry Night, Part 3

Physics Lab #4: Learning Starry Night, Part 3 Physics 10293 Lab #4: Learning Starry Night, Part 3 Introduction In this lab, we will continue using Starry Night to explore some of the most important concepts we will cover in lecture. Continue with

More information

AST111 PROBLEM SET 2 SOLUTIONS. RA=02h23m35.65s, DEC=+25d18m42.3s (Epoch J2000).

AST111 PROBLEM SET 2 SOLUTIONS. RA=02h23m35.65s, DEC=+25d18m42.3s (Epoch J2000). AST111 PROBLEM SET 2 SOLUTIONS Home work problems 1. Angles on the sky and asteroid motion An asteroid is observed at two different times. The asteroid is located at RA=02h23m35.65s, DEC=+25d18m42.3s (Epoch

More information

Chapter 0 2/19/2014. Lecture Outline. 0.1 The Obvious View. Charting the Heavens. 0.1 The Obvious View. 0.1 The Obvious View. Units of Chapter 0

Chapter 0 2/19/2014. Lecture Outline. 0.1 The Obvious View. Charting the Heavens. 0.1 The Obvious View. 0.1 The Obvious View. Units of Chapter 0 Lecture Outline Chapter 0 Charting the Heavens Earth is average we don t occupy any special place in the universe Universe: Totality of all space, time, matter, and energy Astronomy: Study of the universe

More information

ROCZNIK ASTRONOMICZNY (ASTRONOMICAL ALMANAC) OF THE INSTITUTE OF GEODESY AND CARTOGRAPHY AGAINST THE IAU 2000 RESOLUTIONS

ROCZNIK ASTRONOMICZNY (ASTRONOMICAL ALMANAC) OF THE INSTITUTE OF GEODESY AND CARTOGRAPHY AGAINST THE IAU 2000 RESOLUTIONS ROCZNIK ASTRONOMICZNY (ASTRONOMICAL ALMANAC) OF THE INSTITUTE OF GEODESY AND CARTOGRAPHY AGAINST THE IAU 2000 RESOLUTIONS M. SĘKOWSKI Institute of Geodesy and Cartography ul. Modzelewskiego 27, Warsaw,

More information

The Measurement of Time

The Measurement of Time CHAPTER TWO The Measurement of Time Solar Time In antiquity the time of day was measured by the direction of a shadow cast in sunlight. This resulted in the development of a wide variety of sophisticated

More information

REVIEW CH #0. 1) Right ascension in the sky is very similar to latitude on the Earth. 1)

REVIEW CH #0. 1) Right ascension in the sky is very similar to latitude on the Earth. 1) REVIEW CH #0 TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. 1) Right ascension in the sky is very similar to latitude on the Earth. 1) 2) Latitude and right ascension

More information

Mapping Document. GCSE (9-1) Astronomy. Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Astronomy (1AS0)

Mapping Document. GCSE (9-1) Astronomy. Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Astronomy (1AS0) Mapping Document GCSE (9-1) Astronomy Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Astronomy (1AS0) GCSE (9-1) Astronomy Mapping document This document is designed to help you compare the existing 2011

More information

Coordinate Systems fundamental circle secondary great circle a zero point

Coordinate Systems fundamental circle secondary great circle a zero point Astrometry Coordinate Systems There are different kinds of coordinate systems used in astronomy. The common ones use a coordinate grid projected onto the celestial sphere. These coordinate systems are

More information

A2 Principi di Astrofisica. Coordinate Celesti

A2 Principi di Astrofisica. Coordinate Celesti A2 Principi di Astrofisica Coordinate Celesti ESO La Silla Tel. 3.6m Celestial Sphere Our lack of depth perception when we look into space creates the illusion that Earth is surrounded by a celestial sphere.

More information

Advanced Astronomy, C.P.

Advanced Astronomy, C.P. East Penn School District Secondary Curriculum A Planned Course Statement for Advanced Astronomy, C.P. Course # 422 Grade(s) 10, 11,12 Department: Science ength of Period (mins.) 40 Total Clock Hours:

More information

AST 2010 Descriptive Astronomy Study Guide Exam I

AST 2010 Descriptive Astronomy Study Guide Exam I AST 2010 Descriptive Astronomy Study Guide Exam I Wayne State University 1 Introduction and overview Identify the most significant structures in the universe: Earth, planets, Sun, solar system, stars,

More information

Fundamental Astronomy

Fundamental Astronomy H. Karttunen P. Kroger H. Oja M.Poutanen K.J. Donner (Eds.) Fundamental Astronomy Fifth Edition With 449 Illustrations Including 34 Colour Plates and 75 Exercises with Solutions < J Springer VII 1. Introduction

More information

Today. Planetary Motion. Tycho Brahe s Observations. Kepler s Laws Laws of Motion. Laws of Motion

Today. Planetary Motion. Tycho Brahe s Observations. Kepler s Laws Laws of Motion. Laws of Motion Today Planetary Motion Tycho Brahe s Observations Kepler s Laws Laws of Motion Laws of Motion In 1633 the Catholic Church ordered Galileo to recant his claim that Earth orbits the Sun. His book on the

More information

ANNEX 1. DEFINITION OF ORBITAL PARAMETERS AND IMPORTANT CONCEPTS OF CELESTIAL MECHANICS

ANNEX 1. DEFINITION OF ORBITAL PARAMETERS AND IMPORTANT CONCEPTS OF CELESTIAL MECHANICS ANNEX 1. DEFINITION OF ORBITAL PARAMETERS AND IMPORTANT CONCEPTS OF CELESTIAL MECHANICS A1.1. Kepler s laws Johannes Kepler (1571-1630) discovered the laws of orbital motion, now called Kepler's laws.

More information

KEELE UNIVERSITY SCHOOL OF CHEMICAL AND PHYSICAL SCIENCES Year 1 ASTROPHYSICS LAB. WEEK 1. Introduction

KEELE UNIVERSITY SCHOOL OF CHEMICAL AND PHYSICAL SCIENCES Year 1 ASTROPHYSICS LAB. WEEK 1. Introduction KEELE UNIVERSITY SCHOOL OF CHEMICAL AND PHYSICAL SCIENCES Year 1 ASTROPHYSICS LAB WEEK 1. Introduction D. E. McLaughlin January 2011 The purpose of this lab is to introduce you to some astronomical terms

More information

International Olympiad on Astronomy and Astrophysics (IOAA)

International Olympiad on Astronomy and Astrophysics (IOAA) Syllabus of International Olympiad on Astronomy and Astrophysics (IOAA) General Notes 1. Extensive contents in basic astronomical concepts are required in theoretical and practical problems. 2. Basic concepts

More information

If Earth had no tilt, what else would happen?

If Earth had no tilt, what else would happen? A more in depth explanation from last week: If Earth had no tilt, what else would happen? The equator would be much hotter due to the direct sunlight which would lead to a lower survival rate and little

More information

The Revolution of the Moons of Jupiter

The Revolution of the Moons of Jupiter The Revolution of the Moons of Jupiter Overview: During this lab session you will make use of a CLEA (Contemporary Laboratory Experiences in Astronomy) computer program generously developed and supplied

More information

arxiv: v1 [astro-ph.ep] 18 Oct 2016

arxiv: v1 [astro-ph.ep] 18 Oct 2016 Demonstrating the Elliptical Orbit of Mars using Naked Eye Data Kevin Krisciunas 1 ABSTRACT arxiv:1610.05750v1 [astro-ph.ep] 18 Oct 2016 Over the course of eleven months we determined the position of Mars

More information

3) During retrograde motion a planet appears to be A) dimmer than usual. B) the same brightness as usual C) brighter than usual.

3) During retrograde motion a planet appears to be A) dimmer than usual. B) the same brightness as usual C) brighter than usual. Descriptive Astronomy (ASTR 108) Exam 1 B February 17, 2010 Name: In each of the following multiple choice questions, select the best possible answer. In the line on the scan sheet corresponding to the

More information

1) Kepler's third law allows us to find the average distance to a planet from observing its period of rotation on its axis.

1) Kepler's third law allows us to find the average distance to a planet from observing its period of rotation on its axis. Descriptive Astronomy (ASTR 108) Exam 1 A February 17, 2010 Name: In each of the following multiple choice questions, select the best possible answer. In the line on the scan sheet corresponding to the

More information

Transforming from Geographic to Celestial Coordinates

Transforming from Geographic to Celestial Coordinates Transforming from Geographic to Celestial Coordinates Michael McEllin 1 Introduction The simplest astronomical observation of all is that the stars appear to move around the Earth (which, of course is

More information

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Exploring Black Holes General Relativity and Astrophysics Spring 2003

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Exploring Black Holes General Relativity and Astrophysics Spring 2003 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics 8.224 Exploring Black Holes General Relativity and Astrophysics Spring 2003 ASSIGNMENT WEEK 5 NOTE: Exercises 6 through 8 are to be carried out using the GRorbits

More information

The Mass of Jupiter Student Guide

The Mass of Jupiter Student Guide The Mass of Jupiter Student Guide Introduction: In this lab, you will use astronomical observations of Jupiter and its satellites to measure the mass of Jupiter. We will use the program Stellarium to simulate

More information

Notes 10-3: Ellipses

Notes 10-3: Ellipses Notes 10-3: Ellipses I. Ellipse- Definition and Vocab An ellipse is the set of points P(x, y) in a plane such that the sum of the distances from any point P on the ellipse to two fixed points F 1 and F

More information

1. The Moon appears larger when it rises than when it is high in the sky because

1. The Moon appears larger when it rises than when it is high in the sky because 2-1 Copyright 2016 All rights reserved. No reproduction or distribution without the prior written consent of 1. The Moon appears larger when it rises than when it is high in the sky because A. you are

More information

Contents. List of Applications. Basic Concepts 1. iii

Contents. List of Applications. Basic Concepts 1. iii 46891_01_FM_pi_pxviii.QXD 10/1/09 3:25 PM Page iii 1 List of Applications ix Preface xiii Basic Concepts 1 Unit 1A REVIEW OF OPERATIONS WITH WHOLE NUMBERS 2 1.1 Review of Basic Operations 2 1.2 Order of

More information

The Earth and the Sky

The Earth and the Sky The Earth and the Sky In this class, we want to understand why the objects in the sky as seen from the Earth - appear as they do. Even though we haven t yet discussed the details, I am assuming that there

More information

Astronomy 1143 Quiz 1 Review

Astronomy 1143 Quiz 1 Review Astronomy 1143 Quiz 1 Review Prof. Pradhan September 7, 2017 I What is Science? 1. Explain the difference between astronomy and astrology. Astrology: nonscience using zodiac sign to predict the future/personality

More information

DAY LABORATORY EXERCISE #5: PARALLAX & TRIANGULATION

DAY LABORATORY EXERCISE #5: PARALLAX & TRIANGULATION AS102 - Day Laboratory Exercise: Parallax Page 1 DAY LABORATORY EXERCISE #5: PARALLAX & TRIANGULATION Goals: To use trigonometry to determine distances and sizes of objects To gain experience in measuring

More information

In the space below, write an explanation for why we observe phases of the moon, based upon your current knowledge:

In the space below, write an explanation for why we observe phases of the moon, based upon your current knowledge: IDS 102 Phases of the Moon PART II In the space below, write an explanation for why we observe phases of the moon, based upon your current knowledge: As you discovered yesterday, when we observe the Earth

More information

Basic Physics. Remaining Topics. Gravitational Potential Energy. PHYS 1403 Introduction to Astronomy. Can We Create Artificial Gravity?

Basic Physics. Remaining Topics. Gravitational Potential Energy. PHYS 1403 Introduction to Astronomy. Can We Create Artificial Gravity? PHYS 1403 Introduction to Astronomy Basic Physics Chapter 5 Remaining Topics Gravitational Potential Energy Escape Velocity Artificial Gravity Gravity Assist An Alternate Theory of Gravity Gravitational

More information

Introduction to Astronomy Laboratory Exercise #1. Intro to the Sky

Introduction to Astronomy Laboratory Exercise #1. Intro to the Sky Introduction to Astronomy Laboratory Exercise #1 Partners Intro to the Sky Date Section Purpose: To develop familiarity with the daytime and nighttime sky through the use of Stellarium. Equipment: Computer

More information

D. A system of assumptions and principles applicable to a wide range of phenomena that has been repeatedly verified

D. A system of assumptions and principles applicable to a wide range of phenomena that has been repeatedly verified ASTRONOMY 1 EXAM 1 Name Identify Terms - Matching (20 @ 1 point each = 20 pts.) 1 Solar System G 7. aphelion N 14. eccentricity M 2. Planet E 8. apparent visual magnitude R 15. empirical Q 3. Star P 9.

More information

A User s Guide to the Sky

A User s Guide to the Sky A User s Guide to the Sky Constellations Betelgeuse Rigel Stars are named by a Greek letter ( ) according to their relative brightness within a given constellation plus the possessive form of the name

More information

Coordinate Systems fundamental circle secondary great circle a zero point

Coordinate Systems fundamental circle secondary great circle a zero point Astrometry Coordinate Systems There are different kinds of coordinate systems used in astronomy. The common ones use a coordinate grid projected onto the celestial sphere. These coordinate systems are

More information

IAU 2006 NFA GLOSSARY

IAU 2006 NFA GLOSSARY IAU 2006 NFA GLOSSARY Prepared by the IAU Division I Working Group Nomenclature for Fundamental Astronomy'' (latest revision: 20 November 2007) Those definitions corresponding to the IAU 2000 resolutions

More information

Astronomy. The Seasons

Astronomy. The Seasons Astronomy The Seasons The seasons are caused by the inclination of the Earth s axis: when a hemisphere is tipped toward the Sun, the Sun is more directly above it. At the Summer Solstice the tilt is most

More information

PLANETARIUM SIMULATION SYSTEM

PLANETARIUM SIMULATION SYSTEM PLANETARIUM SIMULATION SYSTEM Prof. Dr. W. Kowalk FB Informatik Universität Oldenburg, Germany Ammerländer Heerstraße 114-128, D-26129 Oldenburg Kowalk@informatik.uni-oldenburg.de Abstract This paper describes

More information

Astronomy 291. Professor Bradley M. Peterson

Astronomy 291. Professor Bradley M. Peterson Astronomy 291 Professor Bradley M. Peterson The Sky As a first step, we need to understand the appearance of the sky. Important points (to be explained): The relative positions of stars remain the same

More information

Assignment 1. Due Feb. 11, 2019

Assignment 1. Due Feb. 11, 2019 Assignment 1 Due Feb. 11, 2019 Show all work and turn in answers on separate pages, not on these pages. Circle your final answers for clarity. Be sure to show/explain all of your reasoning and that your

More information

Survey of Astronomy ASTRO 110-5

Survey of Astronomy ASTRO 110-5 Survey of Astronomy ASTRO 110-5 Prof. Istvan Szapudi Institute for Astronomy IfA B204/WAT 401 Phone: 956 6196 Email: szapudi@ifa.hawaii.edu Class meets TTh 12:00 to 13:15 WAT 112 Office Hours after class

More information

CHAPTER 8 PLANETARY MOTIONS

CHAPTER 8 PLANETARY MOTIONS 1 CHAPTER 8 PLANETARY MOTIONS 8.1 Introduction The word planet means wanderer (πλάνητες αστέρες wandering stars); in contrast to the fixed stars, the planets wander around on the celestial sphere, sometimes

More information

60 C From Bicycle to Space. Dionysis Konstantinou Corina Toma. Space Travel

60 C From Bicycle to Space. Dionysis Konstantinou Corina Toma. Space Travel 60 C From Bicycle to Space Dionysis Konstantinou Corina Toma C Space Travel From Bicycle Length to Space of the CDay61 introduction Imagine travelling from one planet to another Why is it that we have

More information

Chapter 2. Altitude Measurement

Chapter 2. Altitude Measurement Chapter Altitude Measurement Although altitudes and zenith distances are equally suitable for navigational calculations, most formulas are traditionally based upon altitudes which are easily accessible

More information

Reading Reminders. Your Questions via JiTT2

Reading Reminders. Your Questions via JiTT2 ASTR1010 Lecture 5 29 Jan 13 Today How the Sky Works: Stars, Seasons, Phases Announcements: Old-Fashioned Homework 1 released tonight on D2L, due ON PAPER next Tuesday at the start of class If you brought

More information

Orbital Mechanics. CTLA Earth & Environmental Science

Orbital Mechanics. CTLA Earth & Environmental Science Orbital Mechanics CTLA Earth & Environmental Science The Earth Spherical body that is flattened near the poles due to centrifugal force (rotation of the Earth) 40,074 KM across at the Equator 40,0007 KM

More information

ASTRO 6570 Lecture 1

ASTRO 6570 Lecture 1 ASTRO 6570 Lecture 1 Historical Survey EARLY GREEK ASTRONOMY: Earth-centered universe - Some radical suggestions for a sun-centered model Shape of the Earth - Aristotle (4 th century BCE) made the first

More information

Research Article Geodesic Effect Near an Elliptical Orbit

Research Article Geodesic Effect Near an Elliptical Orbit Applied Mathematics Volume 2012, Article ID 240459, 8 pages doi:10.1155/2012/240459 Research Article Geodesic Effect Near an Elliptical Orbit Alina-Daniela Vîlcu Department of Information Technology, Mathematics

More information

Orbital and Celestial Mechanics

Orbital and Celestial Mechanics Orbital and Celestial Mechanics John P. Vinti Edited by Gim J. Der TRW Los Angeles, California Nino L. Bonavito NASA Goddard Space Flight Center Greenbelt, Maryland Volume 177 PROGRESS IN ASTRONAUTICS

More information

Astronomical coordinate systems. ASTR320 Monday January 22, 2018

Astronomical coordinate systems. ASTR320 Monday January 22, 2018 Astronomical coordinate systems ASTR320 Monday January 22, 2018 Special public talk this week: Mike Brown, Pluto Killer Wednesday at 7:30pm in MPHY204 Other news Munnerlyn lab is hiring student engineers

More information

The Stars. Background & History The Celestial Sphere: Fixed Stars and the Luminaries

The Stars. Background & History The Celestial Sphere: Fixed Stars and the Luminaries The Stars Background & History The Celestial Sphere: Fixed Stars and the Luminaries The Appearance of Stars on the Sky Brightness and Brightness Variations Atmospheric Effects: Twinkling Variable Stars

More information