O. H. F. Peters—Asteroids. 889 
Having thus shown the existence of a secular inequality in 
the moon’s motion depending on the oblateness of the earth, it 
only remains to determine its amount. But asa mathematical 
analysis of the problem is not within the scope of the present 
paper, I shall be content with a mere statement of the semi- 
general formula together with its numerical value 
If we put ¢, for the obliquity of the acini in 1 1850, a 
for its value at any time ¢, and also suppose that the ellipticity 
of the earth is z4,, I find the following value for the secular 
inequality depending on the earth’s oblateness, namely : 
dv=+24"'827 / (sin*e, —sin’e)de. 
If we develop the integral into a series and retain only the 
first term we shall have 
J/(sin’e, — sin*e) dt=+-0°008675 7, 
in which ¢ denotes the number of pesca counting from 1850 
Hence the secular inequality becom 
dv=0"'1981 7 
This term, though small, is of satiateat importance to be used 
in computing ancient eclipses 
In conclusion I would state that I have found several ine- 
qualities in the moon’s motion which are not recognized by 
existing theories, of even greater practical interest and impor- 
tance than the one to which I have called attention in this paper. 
Cleveland, Oct. 2, 1879. 
ART. aaa —Discovery of two new Asteroids; by Professor 
C. ETERS. Communication t o the Editors dated 
Litchfield Observatory of Hamilton ie Clinton, N. Y., 
October 6, 1879. 
Two more planets of the asteroid group were found by me 
in the month of September, respectively on the 11th and 25th. 
communicate the observations hitherto obtained. 
(202) Chryseis, 
1879, Ham. Coll. m. t. App. -R. App. Decl. No. of comp. 
Sept. 11, 12h gm os 93h 51™ 16* — 8° 535 [rough estimate.] 
Sept. 21 13 18 22 41698 0 = 8 8 4 10 
Sept. 23. 12 23 49 53°47. —-10° 9 35-0 9 
Sept..26. 12 46 49 23 40 4842 —10 26 552 10 
Oct. 4, 8 66 13 93 36 3919  —ll 6 565 6 
peel Pompeja. 
1879. Ham. Coll.m.t App. &. App. Decl. No. of comp. 
Sept. 25, 14h 48m 21° oh ay ge je +: 8° 16; 304 12 
Sept. 26. 13 41 15 0 19°5 +8 12 109 10 
Gee as eo 1g er ae OD is 31 a ceca ae" va 
Pe magnitude of the first is now 11™-0, that of the laiter 
5. 
