43 



APPENDIX 2 



SUMMARY OF FORMULAS 



In this appendix certain formulas which will be of use in applications are collected to- 

 gether for convenient reference. For meaning of symbols and conditions of validity, reference 

 must be made to the text. 

 Transformation from Moving Axes to Fixed Axes 



F, =F^+p¥-r^ 



M.=M„^p(r^xir.)^ 



[8] 



[9] 



Lagally Force 



Fj =2 r^(i) 



n=o s=o 



[20] 



/^l.(0 = 2.p 2^^Ms)(aU^ < - K., '^^T^^Tjn t^O-1 



g° n-i 



n=o s=o 

 n 



[30b] 



n=o s=o 



n 



where 



.f? (0) = 2 ; Jjls) = 1, s > 



[30c] 



