756

PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28

Approximate Expressions for the Principal Magnitudes

126. For small values of 7’ it is possible to write from (122-1)
and (123-5)

(126-D
 R()=R,(0) [rive 20”
/ —— +...) (0)d 8

œæ 70, 17°8%
(x26-2) C(t)=R,,(t)[ _ Tt q(ojde

9

thus we have from (112-1)

(126-3)

(126-4)

R, (£) + Ro (6) [r+ÿ ©]
| C(t) ~ OR, (¥)

and according to (110-2)

(126-5)

R(t) ~R, (t) [1+i 0]

whence

(126-6)

(126-4)

Ym oN ©
R.

a)
2

ignoring first order terms containing 7 and :.

"111 Allais - nag. 60