11 



TABLE OF CONTENTS 



Page 



ABSTRACT 1 



INTRODUCTION 1 



ASSUMPTIONS - 2 



EFFECT OF TRANSLATION OF AXES 3 



HYDRODYNAMIC FORCE 6 



THE "LAGALLY FORCE",Fj 11 



THE FORCE F^ 18 



THE FORCE F3 20 



HYDRODYNAMIC MOMENT - 22 



THE "LAGALLY MOMENT'; M^ 23 



THE MOMENT DUE TO ROTATION ^Mg _ 26 



MOVING SINGULARITIES 27 



POTENTIAL OF THE UNDISTURBED STREAM,^^ - 29 



SOURCES AND DOUBLETS 34 



CONCLUSION 36 



ACKNOWLEDGMENTS 36 



APPENDIX 1 - EVALUATION OF INTEGRALS IN F^ AND M^ 37 



INTEGRAL IN F^^ 39 



INTEGRALS IJs, s ± 1) 41 



INTEGRALS JJs, s±l) 42 



APPENDIX 2 - SUMMARY OF FORMULAS 43 



REFERENCES 47 



