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Mathematica ® is a registered trademark of Wolfram Research, Inc. All other product names mentioned are trademarks of their producers. Mathematica is not associated with Mathematica Policy Research, Inc. or MathTech, Inc. March 1997 First edition, Intended for use with either Mathematica Version 3 or 4 Software and manual written by: Terry Robb Editor: Jan Progen Proofreader: Laurie Kaufmann Graphic design: Kimberly Michael Software Copyright 1997–1999 by Stellar Software. Published by Wolfram Research, Inc., Champaign, Illinois. All rights reserved. No part of this document may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechani - cal, photocopying, recording or otherwise, without the prior written permission of the author Terry Robb and Wolfram Research, Inc. Stellar Software is the holder of the copyright to the Scientific Astronomer package software and documentation (“Product”) described in this document, including without limitation such aspects of the Product as its code, structure, sequence, organization, “look and feel”, programming language and compilation of command names. Use of the Product, unless pursuant to the terms of a license granted by Wolfram Research, Inc. or as otherwise authorized by law, is an infringement of the copyright. The author Terry Robb, Stellar Software, and Wolfram Research, Inc. make no representations, express or implied, with respect to this Product, including without limitations, any implied warranties of merchantability or fitness for a particular purpose, all of which are expressly disclaimed. Users should be aware that included in the terms and conditions under which Wolfram Research, Inc. is willing to license the Product is a provision that the author Terry Robb, Stellar Software, Wolfram Research, Inc., and distribution licensees, distributors and dealers shall in no event by liable for any indirect, incidental or consequential damages, and that liability for direct damages shall be limited to the amount of the purchase price paid for the Product. In addition to the foregoing, users should recognize that all complex software systems and their documentation contain errors and omissions. The author Terry Robb, Stellar Software, and Wolfram Research, Inc. shall not be responsible under any circumstances for providing information on or corrections to errors and omissions discovered at any time in this document or the package software it describes, whether or not they are aware of the errors or omissions. The author Terry Robb, Stellar Software, and Wolfram Research, Inc. do not recommend the use of the software described in this document for applications in which errors or omissions could threaten life, injury, or significant loss. 10 9 8 7 6 5 4 3 #T2261 12/8/2000 Table of Contents Graphics Gallery v 1. Introduction 1 About the Package • Loading and Setup • Installation and Notebooks • Palettes and Buttons 2. Basic Functions 13 The Ephemeris and Appearance Functions • The PlanetChart and EclipticChart Functions • The Planisphere Function • The SunRise and NewMoon Functions • The BestView and InterestingObjects Functions 3. Coordinate Functions 35 The EquatorCoordinates Function • The HorizonCoordinates Function • The Coordinates Function • The JupiterCoordinates Function 4. Star Charting Functions 47 The StarChart Function • The RadialStarChart Function • The CompassStarChart Function • The ZenithStarChart Function • The StarNames Function • The OrbitTrack and OrbitMark Functions • The ChartCoordinates and ChartPosition Functions 5. Planet Plotting Functions 85 The PlanetPlot Function • The PlanetPlot3D Function • The RiseSetChart Function • The VenusChart Function • The OuterPlanetChart Function • The PtolemyChart Function • The SolarSystemPlot Function • The JupiterSystemPlot Function • The JupiterMoonChart Function 6. Eclipse Predicting Functions 119 The EclipseTrackPlot Function • The MoonShadow and SolarEclipse Functions • The EclipseBegin and EclipseEnd Functions • The EclipseQ Function • The Conjunction and ConjunctionEvents Functions 7. Satellite Tracking Functions 137 The SetOrbitalElements Function • The GetLocation Function • The OrbitTrackPlot Function • The OrbitPlot and OrbitPlot3D Functions 8. Miscellaneous Functions 153 The Separation and PositionAngle Functions • The FindNearestObject Function • The SiderealTime and HourAngle Functions • The Lunation and LunationNumber Functions • The NGC and IC Functions 9. Additional Information 167 Ephemeris Accuracy • Using PlanetChart • Using StarChart • Using RadialStarChart • Planetographic Coordinates Appendix. Special Events 175 Meteor Showers • Sunspots • Solar Eclipses • Lunar Eclipses • Transits of Mercury • Transits of Venus • Saturn’s Rings Edge On • Uranus’ Poles Side On • Mercury Apparitions • Venus Apparitions • Mars Opposition • Jupiter Opposition • Saturn Opposition • Lunar Occultations • Eclipse Table • Deep Sky Data • Brightest Stars • Double Stars • Variable Stars • Planetary Data • Visible Earth Satellites • Deep Sky Objects Index 199 Graphics Gallery v Main Features of Scientific Astronomer Feature Labeling on the Moon Star Charts: Five types of charts are defined in Scientific Astronomer, including two wide field star charts. With the star charts you can zoom into any portion of the sky. All the charts have options to show star spectral colors, mesh lines, a skyline, the horizon line, and the Milky Way; and to label constellations, stars, planets, deep sky objects, and so on. Mare Frigoris Planet Plots: Planet plotting is done in two- and three-dimensional forms. Surface features for the Earth, the Moon, Mars, and Jupiter are shown on the plots. Moons and their shadows are displayed for the Earth and Jupiter. Related functions allow you to produce planet position finder charts and planet Mare Imbrium Mare rise/set timing charts. Serenitatis Mare Eclipses: Several functions are provided for dealing with eclipses. These Crisium functions provide information about both solar and lunar eclipses, and are Oceanus Mare Mare general enough to handle Galilean moon eclipses, occultation of stars by the Procellarum Vaporum Tranquillitatis Moon, and transits of Mercury or Venus across the solar disk. You can Mare produce umbra and penumbra track plots and perform eclipse prediction. Foecunditatis Satellite Tracking: Satellite tracking is another feature of Scientific Mare Nectaris Astronomer. You can create track plots, make visibility predictions, and Mare project satellite tracks onto star charts. Nubium Mare Miscellaneous: Miscellaneous other features are available, such as producing Humorum planisphere plates, planet charts, and solar system plots. In addition, sunrise, moonrise, and full moon functions are provided, as well as functions for adding new objects, such as comets and satellites. Scientific Astronomer is Mathematica 3 and 4 compatible. It has palettes and buttons and is fully integrated into the Help Browser system. Plot of a full moon with features labeled. Terry Robb, March 1997. Star Chart of Ophiuchus Mercury Finder Chart Mercury Sector5 45 Summer Dec Nov Oct Lyra Spring Sep Aug 30 Hercules Jul Morning Evening Winter Jun May Sagitta Apr 15 Autumn Mar Feb Aquila Jan 2am 4am 6am 8am 10am 1994 2pm 4pm 6pm 8pm 10pm 0 Ophiuchus Chart showing rising and setting times of Mercury during 1994 for an observer 35 degrees Serpens south of the equator. Green areas (or the darker shade of gray) show when Mercury is visible above the horizon. Scutum -15 HaleBopp Winter Dec Nov Sagittarius Morning Evening Oct Autumn Sep -30 Scorpius Aug Jul Summer Jun CoronaAustralis May -45 19h 18h 17h 16h Apr Spring Mar Morning Evening Star chart showing various constellations in the direction of Ophiuchus. Scorpius is Feb visible on the bottom right. The blue line near the bottom is the ecliptic, which is the fixed Jan path of the Sun through the sky. The planets and Moon all roughly move along that line as 2am 4am 6am 8am 10am 1997 2pm 4pm 6pm 8pm 10pm well. Chart showing rising and setting times of Comet Hale-Bopp during 1997 for an observer 40 degrees north of the equator. Green areas show when Hale-Bopp is visible. vi Graphics Gallery Milky Way and Nebulae Jupiter's Moons and Great Red Spot 5 K=12 Impact 0 Ophiuchus {1994, 7, 19, 20, 15, 0} 5 Serpens 10 Scutum 15 NGC: 6611 NGC: 6618 20 Sagittarius NGC: 6514 25 NGC: 6523 Antares 30 Scorpius 35 40 CoronaAustralis 45 19h 18h 17h 16h Star chart showing the Milky Way in the region of Scorpius and Sagittarius. Four Fragment of Comet P/Shoemaker-Levy impacting on Jupiter. Two Jovian moons and the binocular-visible nebulae are indicated by the position of the yellow NGC numbers. Star Great Red Spot are visible. This graphic is part of a large animation. spectral colors of stars, such as red for Antares, are also indicated. Eight-Year Venus Finder Chart Retrograde Motion of Mars 40 D 35 N D O S O N A N 30 Evening A J S Morning D S J J J M M A A O D O J M J 25 A M F A Gemini F A M J M J N F J M S J M 1999 1994 J N 20 Taurus S 1997 F A A J J Cancer J 1996 A D F 2000 J 15 M O M Sun M O M 2001 J F J D A 1995 J J A 10 A F S 1998 J N J M CanisMinor N S M F 5 J M M A A Orion J J O 0 Monoceros D O A S D -5 N Venus Evening Morning -10 Earth -15 -20 Finder chart for Venus for years 1994 through 2001. 8h 6h 4h Star chart track of Mars undergoing retrograde motion during 1992. Graphics Gallery vii Plot of Earth Optional Labeling 20 15 Aldebaran 10 α γ π3 5 Betelgeuse δ 0 ζε η ι 5 β κ 10 Rigel 15 6h 5h Plot of Earth as viewed from directly over Melbourne, Australia. The darker area Star chart of constellation Orion using double-size labeling. represents night, which is the half of the globe not illuminated by the Sun. Overhead Sky Lunar Eclipse Chart NorthNorth Latitude Nov 17 38 South 03:20 Partial Partial Total Total 22:10 01:47 00:46 Moon 23:11 Begin East West End End Begin Umbra East West Penumbra Partial for 217 min. Total for 96 min.