﻿344 Prof. P. Lowell on the Asteroids. 



Also 



Te = U ~if [^ + \ ^H«[(W — )~ (V l) —) " \h (l) ] cos (w-«0 

 -(4 6' 2 ^ + h< 2 >) cos 6 +e(22 b& + 7 V 4) + ^ 2 (4) ) cos 26 



~ p(134 6® + y 6/ 6 > + 5 & 2 < 6 > + ±5,(0 ) cos 36> J, 

 and 



■^- = v~ 1 sintc^ 1 )— sin.tc< 3 >cos[2^— 2«t+2t'] f- + Ac, 



giving finally 



(4) ^ = nam' F<5 &j« + b 2 ® ) cos 0-&/ ) - i ^(4 &< 2 ) + ^W ) cos 



1 1 - t "1 



+ 9 (W 0) + 7) ^2 (0) ) tan 5 tan z sec 2 i + periodic terms in i . 



9. Similarly 



tan- 



fe _ y 1 - * 2 ^R 2 dU 



dt na?e de na 2 ^/l—e 2 di 



(5) = ^ |(^°) + \*J®)+j [0 (1) -«) " (&i (l) -a)- i6,W]coB(«-«0 



_ i (4 &00 + 5 X ( 2 ) ) cos + (22 6< 4 ) + 7 &/*) + i b 2 & ) cos 2 (9 



+ ±«(46® +^i (2) ) cos0- |e(134^ 6 > + y &- x < 6 ) +5 5/) + i& 8 < 6 >) cos30 



1 * 1 



+ (5i (0) + - f fr 2 (0) ) tan- tan i sec 2 i + periodic terms in i >, 



omitting throughout terms in e 2 or ee\ and certain terms 



Calculation shows that the terms introduced by -yr- are 



. d# . dl 



all practically insensible in -j- . And this for two reasons. 



The term _1 dR 



na 2 e de 



is bigger than ^ j 



na 2 ^/l — e 2 di 



