1801.] 
he difcovered that nothing in this re- 
f{peé&t could be effeéted by) the condi- 
‘tional equations. He then tried La Place’s 
method of approximation, but with as lit- 
tle fuccefs ; the unavoidable errors of obfer- 
vation having too great an influence on the 
differences of the geocentric longitudes and 
latitudes. He now proved eight -hypo- 
thefes by means of LaPlace’s method of cor- 
rection, but without approximating nearer 
to the truth. He then calculated the fol- 
lowing orbit which agrees with the three 
obfervations to within - 2} minutes: | 
. Diameter of the orbit, 2,74.—Epoch, 
t8or1, 258° 16! 20”.—Afcending Node, 
2s 20° 15'.—-Inclination of the orbit, 11° 
21'.—Period of revolution, 42 years. 
However various the trials that had 
been made ; yet, as it did not thence fol-. 
.low, that it was impoffible to find a para- 
bola for thefe. obfervations, he  deter- 
mined to apply a method, which had often 
proved fuccefsful, when all other methods 
of interpolation failed.***** Putting 
the logarithm of the diftance from the 
fun equal 0,378, the fmalleft error was 
#8’; then putting the logarithm of the 
diftance 0,378, the fmalleft error was 
ck4. It was therefore neceffary ftill more 
to diminifh the diftance ; and after 20 hy- 
pothefes he found the following para- 
bola: ( 
Place of the afcending node, 2° 20° 50, 
—Inclination of the orbit, 9° 41/.—Place 
of the perihelium, 45 8% 38’ 25/.~Simalleft’ 
diftance from the fun, 2,21883, its log. 
Particulars relative to the New Planet. 
819 
0,3461250.—Logarithm of the diurnal 
motion, 9,4409408.—Time of the paf- 
fage through the perithellum, :801, 30th 
June, rgh. x’ 
Dr. Burckhadt is of opinion, that there 
is no other parabola that» more nearly 
agrees with thefe three obfervations. The 
errors in the longitude are on the r4th and 
28th of January—xi' 47’’and + 38. But 
Piazzi had not mentioned any thing re- 
fpecting the accuracy with which he was 
able to obferve the comet. 
On the arft of June M. von Zach re- 
ceived the promifed continuation of Dr. 
Burckhardt’s refearches. He had calcu- 
lated an ellipfis for the comet, although 
the arc it had run through was too {mall 
for us to expect great accuracy, but he 
thought he fhould thereby facilitate the 
finding of the ftar. 
Place of the afcending node, 2, 20% 587 
30”.—Inclination of the path, 10° 47’ 0”. 
—Place of theaphelium, 28 8% 59’ 37".—= 
Time of the paflage through the aphe-. 
lium, January, 1861, 1£,3328.—Excentri- 
city, 0,0364.—Logarithm of half the 
great axis, 0,4106586.—Period of fide- 
real circumvolution, 4,13 years. 
This ellipfis reprefents, within a few 
feconds, the longitudes and latitudes of 
five obfervations. It would have been 
eafy to obtain a greater degree of accura- 
cy, but he thought it quite fuperfluous, 
as the arc run throughis fo fmall.””. The 
above ellipfis gaye’ Dr. Burckhardt the 
following 
Places of the Planet difcowered by PIazzr. 
1801. 
2oth June . r3h. 4! 
17th July - Jane ha 
r2th Auguft - 15 54, 
7th September - 16 19 
12th - ES Vito 
18th = ,;— 
23d, = i ae 
28th - 130-— 
34 O&tober =, chy See 
Sth - 22 = 
14th - 3=— 
19th mee - > 
24th > tlo— 
2gth - 14.45) 
3d November - 3 o— 
sth - 22 0 = 
Medium Time. | Geocentr. Long. | Geocenir. Lat. 
TOI? 45° 30? 26' N. 
DES. 4 6 
a aN A Ae SE 
135 28 sae 
137 40 5 5h. 
139 59 Be 
I4n 58 6) 5 
44 5 6 27 
146 9 ‘ & »40 
148 12° Re 
150 2 Pele 
E52 9 tO 
154 868 PW 
76000 5 eC 5a 
157 56 Bud 
8 26 
159 48 
Tt was to be expected, that there would 
be various opinions refpetting the name 
that fhould ‘be given to the new planet. 
—A Correfpondent of the Allg. Liter. 
Anzeig. No. 72, propofes the name of’ 
Vulcan. He thinks it would not be im- 
proper 
