Calculate the orbit of Mars! : an observing challenge and historical adventure / / Jane Clark

• Autore: Clark Jane
• Pubblicazione: Cham, Switzerland : , : Springer International Publishing, , [2021]; ©2021
• Descrizione fisica: 1 online resource (319 pages)
• Disciplina: 523.43
• Soggetto geografico: Mars (Planet) Orbit
• Nota di contenuto: Intro -- Preface -- Acknowledgements -- Contents -- About the Author -- Chapter 1: In the Beginning -- Ptolemy's Model: Salient Features -- The Copernican Revolution: The Pun That Keeps oving -- Tycho Brahe, the Greatest Pre-telescope Observer -- Tycho and Mathematics -- Tycho's Instruments -- Galileo - Telescopes and Free Fall -- Free Fall and Motion -- The Telescope Bursts onto the Scene -- Encounter with the Inquisition -- Chapter 2: Read My Ellipses -- Kepler -- Ellipses -- Chapter 3: The Behaviour of Two Bodies in Orbit -- Christiaan Huyghens (1629-1695) -- Sir Isaac Newton (1642-1727): The Great Synthesizer -- Universal Gravitation -- Gravity Due to Point Masses and Spheres -- Angular Momentum and Its Implications -- The Bit Where Conic Sections Come In -- Time Evolution -- A Brief Aside: the Word Anomaly -- The Moon: A Challenge for Newtonian Physics -- Canonical Units -- Energy -- The Orbit Tells Us What the Force Law Is -- Chapter 4: Least Squares Fit to Sets of Equations -- Least Squares Fitting Subroutine -- Chapter 5: The Orbit of the Earth -- Sunny Side Down, Please -- From Solar Midday to Orbit -- Sorting Out Some Definitions -- Further Geometric Gymnastics with Ellipses -- Tilting My Lance at Obliquity -- Getting Around to Earth's Orbit -- Chapter 6: Here's Looking at You, Mars! -- Equipment -- Guiding -- Photographic Technique -- How I Made Measurements from Pictures Like Fig. 6.7 -- How to Obtain the Position of Mars from the Star Positios -- Main Program -- Angle Unit Changing Subroutines -- Least Squares Fitting Subroutine LSQFIT Has to Be Added -- Distance Unit Changing Subroutines -- Results -- The 2009-2010 Apparition of Mars -- Later Observing Campaigns -- Data from 2011 to 2012 (Table 6.5 and Fig. 6.31) -- Data from 2020 (Table 6.6 and Fig. 6.32) -- Chapter 7: First Shot at the Orbit of Mars. ; Non-coplanar Orbits Facing in Random Directions -- Rotations -- What These Angles Are Used for -- Herget's Method -- Lagrange's f and g Functions -- The Sector-Triangle Ratio -- Introduction of Kepler's Equation -- Solution of Eqs. (7.89), (7.101) and (7.104) -- Solving Eq. (7.1) with Known Magnitude but Unknown Direction of Sun-Planet Distance -- Eureka! (Part One) -- Obtaining the Orbital Elements from Two Radius Vectors -- Software Listing -- Main Program -- Calculate Ascending Node -- Convert Observation Times to Canonical Units -- Use Escobal's Methods to Calculate Various Quantities -- Use Methods Given Above to Calculate the Longitude and Passage Time of Perihelion -- This Is Basically the Subroutine Described in Chap. 4 -- Eureka! (Part Two) -- Chapter 8: Refining the Preliminary Orbit -- Least-Squares Curve Fitting -- Gambling on Monte Carlo -- Monte Carlo Source Code -- Manual Adjustment of Orbits -- Using Knowledge of the 2020 Opposition -- Conclusions Drawn -- Da Capo al Fine: Can I Fit Tycho's Data? -- How Well Did I Do? -- Appendix 1: Parabolas and Hyperbolas -- Deriving the Equation of a Hyperbola in Polar Coordinates -- Deriving the Equation of a Parabola in Polar Coordinates -- Appendix 2: Multiplying Three Vectors -- Appendix 3: Proof of Trigonometric Addition Formulae for All Angles -- References -- Index.
• Titolo autorizzato: Calculate the Orbit of Mars
• ISBN: 3-030-78267-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466751503316
• Lo trovi qui: Univ. di Salerno