CALCOLO NELL'ELLISSOIDE DI BESSEL 135 



log r = (log a-\- log (1— n)\ - — log (1— In cos2B'+n 8 j 



= 6,8039157.652— 9,999S228.169-f- 10=6,80 40929. 183, 



log r = \ogn — log(l+S sin 2 B') 



= 6,8046434.637—0,0005505.154=6,8040929.483, 



log r = jlog a — — log(l — »i)\ — log(l — mcos2B') 



= 6,8039151.565—9,9998222.082-1-10=6,8040929.483. 



Si può ritenere 



r = metri [6,8040929.483] = metri 6360518,234. 



Maggiore approssimazione danno per r gli sviluppi in serie seguenti 



,• = 6377397,15500— [4,3280238.829] sin 2 [i -[1,5503743] sin 1 ^ — 



— [9,07375—10] sin (! p - [6,094 - 1 0] sin 8 P— .., 



= 6377397,15500—8073,80136—5,11073—0,00647-0,00001 =6369418,23343, 



r= 6356078,96325+[4,3294780.627] eos 2 (ì;— [1,5547368] cos 4 p+ 



+ [9,08103-10]eos G P— [6,704— 10] cos 8 M-- 

 = 6356078,96325+13253,05841— 13,81697+0,02881— 0,00007=6369318,23343, 



r = 6366746,98177+[4,0277197.599]cos2(3-[0,9504919]cos 2 2p)+ 

 + [8,17429— 10] eos 3 2[3- [5,495—10] cos 4 2£+... 

 = 6366746,98177+2571,77086—0,51942+0,00021 =6369318,23342; 



r = 6356078,96325+[4,3205697.031] cos 2 B'+[2,0260414] cos 4 B'+ 

 + [9,77127—10] cos u B'+[7,538 — 10] cos s B'+... 

 = 6356078,96325+13198,02003+41,10730+0,14226+0,00052=6369318,23342, 



r = 6377397,15500— [4,3309322.425] sin 2 B' + [2,0333123] sin 4 B'— 



— [9,78145— 10] sin 6 B'+[7,551— 10] sin 8 B'-... 



= 6377397,15500—8094,29918+15,41013—0,03260+0,00007 =6369318,23342, 



