45 



TABLE 9 



Calculations for E (t) and U(t) 



Assume k x = 0.06: Put K = E k , K' = B k , E (i,)=S(t ) = E 



Ji j ji ji j ij n j n j nj 



1 + ki 



(a) Xi = -O.989UOI; cos y = 0.1+664; 



1 + k^Xi) 



0.966815 



jl 



K, 



K. ,-K, 



U 



K.,(E, -E, 



K (E • 



jl 2J 



K„ (E, 



0.66460 

 .49536 

 .28022 

 14389 



0.66458 

 .49077 

 .28639 

 .16024 



+0.00002 



+0.00459 



-O.OO617 



■01635 



,01$01 

 .01660 

 .01236 

 .00821 





 -0.00730 

 ■01799 

 ■03333 







1.00362 



.00504 

 .00480 



•0.00307 

 .00634 

 .01101 





 -0.00152 

 .00178 

 .00158 



-0.00158 

 .00253 

 .00403 



.00568 

 .00706 

 .00802 



-0.00078 

 .00071 

 .00058 



•07154 

 .03563 

 .01825 



.00555 

 .00341 

 .00208 

 .00121 

 .00062 

 .00027 

 .00007 

 0.00001 



.09055 

 .05223 

 .03061 

 .01805 



.05207 

 .07213 

 .08999 



.00493 

 .00266 

 .00126 

 .00050 



.10087 



•00373 

 .00257 

 .00164 

 .00099 



.01651 

 .02182 

 .02619 

 .02870 



.oon a 

 .00078 



.00048 

 .00028 



.00016 

 .00009 

 .00005 

 .00002 



.00041 

 .00025 

 .00015 

 .00008 



.01058 

 .00607 

 .00334 

 . 001 71 



.00016 

 -0.00002 

 



.07213 

 .05207 



.00057 

 .00031 



.00015 

 .00006 



.02870 

 .02619 

 .02182 

 .01651 



.00802 

 .00706 

 .00568 



.00005 

 .00003 



.00001 

 -0.00001 



.00029 

 .00007 



0.00001 



.03333 



•01799 

 •0.00730 







-0.00002 



01101 



.00634 

 ■0.00307 



.00001 

 

 

 



. 00403 



.00253 

 ■0.00158 







J = -0.08362 



E,, = +0.07750 



= -0.02350 

 = +0.02180 



= -0.00793 

 = +0.00680 



j = -0.00306 



,., = +0.00241 



= 0.12972 



(xj = 0.5450, P = 0.7030 



(6) x 2 = -0.944575; cosy = 0.8014; 



1 + ki 



[1 + ki(x 2 )] 



= O.96947 



K j2 _K j2 



1J 



K.,(E, 



K t s ' E o." E ») 



K„(E, 



45536 

 2J382 

 09665 

 04486 

 02187 

 01 1 40 

 00639 

 00379 

 00228 

 00131 



0.20017 



. 451 1 1 

 .2269' 



+0.00296 

 -0.00001 

 +0.00418 

 -0 . 01 31 7 



00730 





 OIO69 

 02603 



00148 





 00487 

 00557 



+0.00307 



-0.00327 

 ■00794 



.00062 





 . 001 49 

 .00170 



+0.00158 





 -0.00095 

 ■00245 



-0.00043 

 .00052 



.11 63: 

 .06265 

 .03502 

 ■ OK " 



■ 01 91 3 



■ 01779 

 .01315 



04477 

 06483 



. 01 1 43 

 .00645 

 .00350 

 .00178 



09357 



00433 

 00291 

 00101 

 00107 



.01344 

 . 01 875 

 . 0231 2 

 ■02563 



.00130 

 .00084 

 . 00051 

 ,00029 



.00410 

 .00548 

 .00644 

 ■ OO693 



. 00040 

 .00025 

 . 0001 4 



.00504 

 .00266 

 .00122 

 .00047 



09357 



082 



06483 



04477 



00031 

 00015 

 00006 



.02563 

 .02312 

 .01875 



.01344 



. 0001 1 



.00004 

 .00002 



.00693 



.00644 

 .00548 

 .00410 



.00004 



.00002 



. 00001 



-0.00001 



00065 



0002t 



.00081 



.00030 



.00014 

 -0.00002 



02603 

 OIO69 





 00730 



00002 

 



00794 

 -0.00327 

 



+0.00307 



.00001 

 

 



.00245 

 -0.00095 







+0.00158 



T 



j = -0.07484 



E = +0.07020 



-0.02022 

 +O.OI873 



h 



-0.00583 

 +0.00522 



-o.ooi! 

 +0.00143 



r^ = 0.12283 



U (x ) = 0.9261; JL= 0.1423 

 52 q 



