SnaeeeriUIi D annes Moder!!~~ & ono-oJ I. I • ' . - . . . • • • • : • I " . • _ .. • . . '. . ' •• I' ' I • .' " • . • MARSHALL H. KAPLAN Research and AcquisitioD Services Reston. VA JOHN WILEY & SONS New York· Chichester> Brisbane· Toronto· SinllpOl'e , ., . " Contents CHAPTER 1 INTRODUCTION 1.1 HISTORICAL DEVELOPMENTS 1.2 PHYSICAL PRINCIPLES Laws of Newton and Kepler, 2 Work and Energy. 3 Angular Momentum, 6 1.3 GENERAL APPROACH 1.4 COORDINATE SYSTEMS AND TRANSFORMATIONS Inertial Reference Frame, 8 Fundamental Transformations. 8 Euler's Angles, 10 L5 RELATIVE MOTION General Equation. 13 Motion of the Earth's Surface, 17 EXERCISES CHAPTER Z FUNDAMENTAl , 7 8 13 19 SPACECRAFT DYNAMK$ .. I I 2 2,1 GENERAL RIGID BODY MOTION 2,2 TWO-BODY AND CENTRAL FORCE MOTION General Solution to the Two-Body Problem, 2S Central Force Motion. 29 Kepler's Time Equation, 33 Commonly Used Constants, 37 2.3 ATTITUDE DYNAMICS AND EULER'S EQUATIONS 24 24 2S 37 .'. Ix