152 ANNUAL REPORT SMITHSONIAN INSTITUTION, 1919. 
The agreement in the scale values obtained from x and y is satis- 
factory. There appears to be a small difference in the orientations 
as derived from the two directions in the comparison plates. This 
is, however, of small importance in the determination of «. There 
is a difference of scale value from July 15-18 shown in both coordi- 
nates. For the purpose of exhibitmg the gravitational displace- 
ments residuals have been computed using adopted values for the 
seale and orientation given above along with the calculated correc- 
tions for differential refraction and aberration. This has the ad- 
vantage of reducing the number of constants employed in the reduc- 
tion of the plates and lessens the possibility of masking any dis- 
cordances, though greater irregularities necessarily appear when four 
arbitrary constants instead of six are used in the reduction of each 
plate. The quantities are converted from revolutions to seconds of 
arc, as the more familiar unit facilitates judgment of the results. 
TABLE VIII.—Comparison of the Eclipse and comparison photographs with the 
scale plate after correction for differential refraction and aberration, orien- 
tation, and change of scale. 
ECLIPSE PLATES, RIGHT ASCENSION. 
No. of star. I. TI. TIT. Iv. Vie Vil. Vill. Mean. 
wv aA w Ld Lid Ls wr a 
TE SRE aCRe aa Soc aber ae —0. 18 —0, 51 —0. 46 —0.07 —0. 04 —0, 72 —0. 43 —0.34 
RY eed aneanqseonseerce — .45 ee = 38 08 — .60 — .36 — 62 — .i4 
hee boring sea caeaece + .08 =e ead: = 208 i aki cil — 216 = 218 — .06 
Boece onebarse: Ss60o8s =H. 20 ae! = ie) — .05 — 202 — .02 — 01 — .09 
5 eS eats AS — .14 + .23 —, 2.09 — 11 — .18 + .13 — .08 — .08 
Wee Gag sees sess sss: ae kT, + .06 sme ole! — 1) ao erie am cil: — OF + .08 
DERE S. TEOLASIS. eee + .7 +1. 03 +1.06 +1. 09 +1. 01 + .98 +1.30 +1. 03 
ECLIPSE PLATES, DECLINATION. 
Isat Me Ase ae ee 0.00 — 00 —0. 03 +0. 02 +0.17 +0. 15 +0. 01 +0. 03 
Ppa ere sates te iaieieinia jer as — .38 — .54 = 5 OL — .30 aL) ie — ob — 
de es aRE HBC See GaSe +1.19 +1. 04 +1. 03 = ici Sele +1. 19 +1. 24 Sel eit! 
Bi sbetockgsduacces sis +1. 42 +1.58 +1. 50 +1.39 +1. 55 +1. 49 +1.49 +1.49 
Gece waumaninew sere + .65 a ac ad +1.01 + .97 +271 “+ 295 +1.01 + .87 
ieee Sodsscseneescan< + .62 + .46 +1. 03 “F.5d + .56 + .58 + .74 + .65 
(oe eS paeeicse | J 35-idoee =P. Ob + .25 — .40 — .09 — .22 — 14 —.17 =i 
145q. 1405 151 152. In 172, 18. Mean. 
a a wv nr uw ” wr La 
ye ae a ala we ielattetatalete l= —0.19 —0. 24 —0, 23 —0. 28 +0. 11 —0.19 —0. 02 —0.15 
Gs bE egos se4insooo5cas — .2 do} (— 230 — .32 — 224 — .33 — .26 — .25 
{ogc daooaseneutgogacce =~ 01 +203 — .01 + .05 = 04 + .23 + .08 + .05 
Dobe Sec ogee Aca dacicme spaces Seney + .28 + .10 — .03 +. 21 —i 01 Src 
Cacronegtsessucedorsile +. 02 — .18 + 126 + .06 -".13 + .03 +14 + .07 
TUE oe i A Shee 7 — .06 + .20 + .18 - 13 =F 02 +15 Gras! 
CRAB MAGEE AG sonia tesa + 31 + .18 — .16 + .22 — .04 + .08 — .06 + .08 
