TABLE OF CONTENTS 



Page 



LIST OF FIGURES ±±± 



LIST OF TABLES v 



MATHEMATICAL NOTATION AND CONSTANTS vi 



ABBREVIATIONS AND UNITS OF MEASUREMENT viii 



ABSTRACT 1 



ADMINISTRATIVE INFORMATION 1 



INTRODUCTION 1 



EQUATIONS OF MOTION 2 



COORDINATE SYSTEMS 2 



POTENTIAL OF STEADY FORWARD MOTION 3 



TWO-DIMENSIONAL POTENTIAL OF OSCILLATION 4 



TWO-DIMENSIONAL DIFFRACTION POTENTIAL 7 



UNIFIED SLENDER-BODY THEORY 8 



SINGULARITY OF THE KERNEL FUNCTION 12 



RESULTS AND DISCUSSION 14 



SUMMARY AND CONCLUSIONS 40 



ACKNOWLEDGMENT 40 



REFERENCES 41 



LIST OF FIGURES 



1 - Coordinate System Fixed with Respect to the Ship. This System Moves 



with a Speed U Relative to a System Fixed in Space 3 



2 - Sectional Coordinate System 7. 



3 - Heave Added-Mass and Damping Coefficients of Twin Ellipsoid 



in Head Seas at Zero Speed 16 



4 - Pitch Added-Mass and Damping Coefficients of Twin Ellipsoid 



in Head Seas at Zero Speed 17 



iii 



