731 



1) The theoretical treatment is an application of the standard procedure for surface 

 waves (cf. li. Lamb's "I^ydrodynanios", 6th Ed., Ch.' IX). The present report embodies 

 certain suggestions made by R. J. FinJcelstein, J. von Neumann, and F. J. V/eyl of the 

 Bureau of Ordnance Group on the Theory of Explosives. 



2) These integrals have all been evaluated by the Ifathcnatics Tables Project under the 

 Applied Mathematics Panel of the N.D.R.C. The authors are particularly Indebted 



to G. Blanch and A. N. Lowan of that group. 



3) "On the Best Location of a Mine Near the Sea Bed" WW, AIIP Report 37. IR, AIilG-KfU 

 No. A9, Ilay (W-W.) and Appendix on "Bubble Periods" Febi-uary (19/t5). Also "On the 

 Solution of the Differential Equations Arising fron a Particular Energy Function, 

 Mathematical Tables Project, March exv' October (19AA) . 



4) J. G. Kirkwood and 5. ?,. Brinkley, Jr. "A New Theory of Shock TJave Propagation with 

 an Application to the Underwater Explosion '.I'ave Produced by TOT" Division 2 Interim 

 Report 24 on "Underwater Explosives rnd ".xplosions" (19jW.). 



5) Lt. D. C. Ca-inboll, US;:R: "Motions of a Pulsatijig Gac Globe Under Water", 

 David Taylor ilodel Basin Report 512, I'ay (1943). 



25 



