A SIX-DEGREE-OF-FREEDOM LAUNCH VEHICLE SIMULATOR …

A SIX-DEGREE-OF-FREEDOM LAUNCH VEHICLE SIMULATOR FOR RANGE SAFETY ANALYSIS

By SHARATH CHANDRA PRODDUTURI

A THESIS PRESENTED TO THE GRADUATE SCHOOL OF THE UNIVERSITY OF FLORIDA IN PARTIAL FULFILLMENT

OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE

UNIVERSITY OF FLORIDA 2007 1

?2007 Sharath Chandra Prodduturi 2

To my parents. 3

ACKNOWLEDGMENTS I would like to express my sincere gratitude to my supervisory committee chair (Dr. Norman G. Fitz-Coy) for his continuous guidance, support, and help. I am really thankful to him. I would also like to express my gratitude to my supervisory committee members (Dr. Warren E. Dixon and Dr. Gloria J. Wiens) for their support and guidance. I would like to express my gratitude to my parents for all their moral and financial support, without which this task could not have been accomplished. I would be nowhere without them. I would like to acknowledge my sisters (Shirisha and Swetha) for their help and support throughout my life. I would like to thank my friends and colleagues from AMAS (Frederick Leve, Shawn Allgeier, Sharan Asundi, Takashi Hiramatsu, Jaime Jos? Bestard, Andrew Tatsch, Andrew Waldrum, Ai-Ai Cojuangco, Dante Buckley, Nick Martinson, Josue Munoz, Jessica Bronson and Gustavo Roman) for their advice, help and support.

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TABLE OF CONTENTS

page

ACKNOWLEDGMENTS ...............................................................................................................4

LIST OF FIGURES .........................................................................................................................7

ABSTRACT.....................................................................................................................................9

CHAPTER

1 INTRODUCTION AND BACKGROUND ...........................................................................11

2 EQUATIONS OF MOTION FORMULATION ....................................................................19

Coordinate Frames..................................................................................................................19 Kinematic Equation of Motion ...............................................................................................24 Dynamical Equations..............................................................................................................27 Generalized External Forces...................................................................................................30

External Forces................................................................................................................30 Thrust force ..............................................................................................................30 Aerodynamic forces (drag and lift) ..........................................................................32 Gravitational force....................................................................................................33

External Moments ...........................................................................................................34 Aerodynamic moments ............................................................................................34 Gravitational moment...............................................................................................35 Thrust moment .........................................................................................................36

3 DESCRIPTION OF MODELS USED ...................................................................................38

Gravity Model.........................................................................................................................38 Inertia Model ..........................................................................................................................49

Strap-on booster...............................................................................................................50 Cylindrical segment..................................................................................................50 Parabolic nose cone ..................................................................................................52 Fins ...........................................................................................................................54

Liquid Engine ..................................................................................................................57 Solid Motor......................................................................................................................59 Payload ............................................................................................................................61 Drag Coefficient Model..........................................................................................................63 Center of Pressure Model .......................................................................................................64 Nose .................................................................................................................................66 Cylindrical Body .............................................................................................................67 Conical Shoulder .............................................................................................................67 Conical Boattail ...............................................................................................................68 Fins (Tail Section) ...........................................................................................................68 The WGS84 Ellipsoid Model .................................................................................................69

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