The Flight of Uncontrolled Rockets

ContentsPreface Editor's Note Definitions and Symbols Chapter 1. Equations of Motion of A Rocket 1. The Rocket As A System of Changing Composition 2. Equations of Motion of A Particle and of A System of Constant Composition 3. Systems of Changing Composition. Rockets 4. Application of the Solidification Principle to Rockets 5. Equations of Motion of the Center of Mass of A Rocket 6. Rotational Motion of the Rocket Chapter 2. Calculation of the Trajectory of A Rocket 7. Statement of the Problem 8. The Thrust 9. Equations for the Motion of the Mass-Center of A Rocket During Powered Flight 10. The Tsiolkovskii Formula 11. Variation in the Rocket Velocity During Powered Flight. Determination of the Arc-Length of the Trajectory 12. Direction of the Rocket Velocity During Powered Flight 13. The Influence of the Drag and Gravitational Forces On The Magnitude of the Velocity of A Rocket 14. Calculation of the Complete Trajectory. Problems Chapter 3. Fundamentals of Rocket Dispersion 15. Introduction 16. Factors Causing Lateral Dispersion 17. Continuous Random Variables 18. The Role of the Powered and Unpowered Sections of the Trajectory in the Lateral Dispersion of A Rocket 19. Angular Deviation At the End of Powered Flight and Its Horizontal and Vertical Projections 20. Random Vectors 21. Angular Deviation and Its Connection With Lateral Dispersion Chapter 4. The Dispersion of Finned Rockets 23. Introduction 24. Statement of the Problem 25. Equations of Motion 26. Integration of the Equations of Motion 27. Integration of the Equations of Motion With An Incomplete Set of Forces and Moments 28. Thrust Asymmetry As The Principal Factor Causing Angular Deviation of Finned Rockets 29. The Dispersion of Actual Rockets 30. Simplification of the Fundamental Formulae 31. The Critical Section of the Trajectory 32. Formulae For The Angle of Attack d and The Angular Deviation ¿ 33. A Graphical Method. The Cornu Spiral 34. The Standard Formula For Calculating Angular Deviation 35. Angular Deviation As A Function of the Structural Parameters of the Rocket and the Length of the Launcher 36. Effective Launcher Length 37. The Stepped Acceleration Diagram. Mortar Rockets and Multi-Stage Rockets 38. Rockets Launched From Aircraft 39. The Angular Deviation Due To Initial Perturbations 40. Methods of Improving The Dispersion of Finned Rockets 41. Integration of the Fundamental Differential Equation With A Complete Set Of Forces and Moments 42. Formulae For The Angles D and \P Using A Complete Set of Forces and Moments 43. Analysis of the Formulae. Major and Minor Forces and Moments 44. The Coriolis Force and Moment 45. The Effect of the Coriolis Force and Moment On The Angular Deviation of A Finned Rocket Chapter 5. The Dispersion of Finned Rotated Rockets 46. Introduction 47. Statement of the Problem 48. Rotational Thrust Moments 49. The Equation of Rotational Motion 50. Integration of the Rotational Equation of Rotation 51. Analysis of the Rotational Motion 52. The Angular Deviation of Finned Rotated Rockets 53. The Angular Deviation Expressed In Terms of the Kernel R(s,s) 54. Analysis of Angular Deviation Calculations For Finned Rotated Rockets 55. The Role of Thrust Eccentricity As A Cause of Lateral Dispersion of Finned Rockets 56. Arbitrary Acceleration On The Launcher. Firing From Aircraft Chapter 6. The Dispersion of Finned Anti-Tank Rockets 57. Introduction 58. Aspects of the Ballistics of Anti-Tank Rockets 59. The Effects of Aerodynamic Forces and Moments On The Angular Deviation of Antitank Rockets 60. Integration of the Equations of Motion 61. Calculation of the Angular Deviation 62. The Maximum Effective Range 63.