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T.fLBLE OF COI^ITENTS 



Introduction 1 



Part I. Discussion of the Results. 



!• Preliminary remarks 6 



2. The principle of stabilization 7 



3* The location of the mine 8 



4« An example 10 



Part II. Mathematical Stu.dy of the Secondary Pressure 

 Pulseo 



1. Introduction 11 



2. The energy equation 12 



3. Non-dimensional variables 14 



4. The scaling factors and the internal energy of 15 

 the gas for T.N.T. 



5. The equations of motion for small values of the 17 

 radius a 



6. The minimum radius 16 



7. The pressure pulse 19 



8. The optimum peak pressure 22 



9. The impulse 23 



Part III. The Meclianism of Stabilization by Gravity and 

 the Sea Bed. 



1. The exact equations of motion 26 



2. The approximate evaluation of the period and the 29 

 moment vua 



3. The stabilized position 32 



4. The migration of the bubble 34 



5. The correction due to the free surface 35 



Appendix I. 



The Numerical Integration of the Differential Equations. 38 



