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Introduction to the Maths and Physics of the Solar System

This book provides undergraduate students and interested laypeople with an understanding of the basic physics and maths that governs our solar system. It can be used as a companion to all introductory astronomy textbooks.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Piccirillo, Lucio
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Milton : Taylor & Francis Group, 2020.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Piccirillo, Lucio. 
245 1 0 |a Introduction to the Maths and Physics of the Solar System  |h [electronic resource]. 
260 |a Milton :  |b Taylor & Francis Group,  |c 2020. 
300 |a 1 online resource (238 p.) 
500 |a Description based upon print version of record. 
505 0 |a Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Table of Contents -- Foreword -- Preface -- Chapter 1: Basic Concepts -- 1.1 Geometry -- 1.2 Trigonometry -- 1.3 Calculus -- 1.3.1 Functions -- 1.3.2 Infinity in Maths -- 1.3.3 Derivatives, Integrals and the Fundamental The-orem of Calculus -- 1.3.4 Inverse Trigonometric Functions -- 1.4 Eratosthenes's Final Calculation -- 1.5 Aristarchus's Calculations -- Chapter 2: Math and Physics Toolkit -- 2.1 Vectors -- 2.1.1 Change of Coordinate Systems -- 2.1.2 Operations with Vectors -- 2.1.3 Differentials and Derivatives of Vectors 
505 8 |a 2.1.4 Polar and Cylindrical Coordinates -- 2.1.5 Vectors in Physics -- 2.1.6 Polar and Axial Vectors -- 2.2 Newton's Laws and Gravity -- 2.3 The Concept of Mass -- Chapter 3: Celestial Mechanics -- 3.1 The Principle of Least Action -- 3.1.1 Conservation Laws -- 3.1.2 Newtonian and Lagrangian Problem Solving -- 3.2 Kepler's Laws -- 3.2.1 Theory of Conic Sections -- 3.2.2 Kepler's 1st Law as Discovered by Kepler Himself in the Years 1600 -- 1630 -- 3.2.3 Kepler's Problem: Geometrical Solution -- 3.2.4 Kepler's Problem: Newton's Solution Using Cal-culus 
505 8 |a 3.2.5 Kepler's Problem: Solution Using Geometric Al-gebra with the Laplace-Runge-Lenz Vector -- 3.3 Energy and Orbits -- 3.4 The Universal Law of Gravitation: One Very Famous Apple -- 3.4.1 Newton's Shell Theorem Using Calculus -- 3.4.2 Newton's Shell Theorem Using Geometry -- 3.4.3 Newton's Shell Theorem Using Gauss's Law -- 3.5 Planet's Motion Using Euler-Lagrange Equations -- Chapter 4: A Few Facts about the Solar System -- 4.1 Geocentric Versus Heliocentric -- 4.2 Motion and Coordinates -- 4.3 The Analemma -- 4.4 Tides in the Solar System -- 4.5 Roche Limit 
505 8 |a 4.6 Measuring the Speed of Light in the So-Lar System -- Bibliography -- Index 
520 |a This book provides undergraduate students and interested laypeople with an understanding of the basic physics and maths that governs our solar system. It can be used as a companion to all introductory astronomy textbooks. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Celestial mechanics. 
650 6 |a Mécanique céleste. 
758 |i has work:  |a Introduction to the maths and physics of the solar system (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCFJmbPgy9qT4p8GWQbRFrq  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Piccirillo, Lucio  |t Introduction to the Maths and Physics of the Solar System  |d Milton : Taylor & Francis Group,c2020 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=30736642  |z Texto completo 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL30736642 
994 |a 92  |b IZTAP