132 On the Orbits of the newly discovered Planeis. 
the elements of their orbits, and have given from time te 
time more correct ephemeres of their geocentric places. Un- 
ortunately, the political affairs pending between this coun- 
try and France have precluded us the advantage of their 
investigations. It is therefore much to be regretted, that 
none of our own mathematicians and astronomers have 
imposed upon themselves the’ laudable and interesting task 
-of furnishing the practical astronomer with such helps as 
might enable him to observe these planets at least in those 
positions of their orbits the most necessary to give the 
best determinations of their respective elements. Plate ITI, 
first given by Mr. Bode, but considerably enlarged, repre- 
sents the relative situations of the orbits of these four 
planets, with respect to themselves, to Mars, and to the 
Earth. The dotted parts of the circles represent the 
southern half of their orbits; and the undotted parts the 
northern half. The positions of the planets on their re- 
spective orbits will be seen from the following tables of re- 
ference, 
POSITIONS OF CERES. 
a January 1, 1608. 
b July 1, 1808. 
e January 1, 1809. 
d July 1, 1809. 
e January 1, 1810. 
f July 1, 1810. 
g July 1, 1811. 
2 January 1, 18}2. 
i July 1, 1812. 
POSITIONS OF VESTA. 
k May 2, 1808. 
Z November 2, 1808. 
m May 18, 1809. 
nm May 29, 1807. 
o June 19, 1807- 
N. B.—Mr. Groombridge, whose indefatigable labours 
POSITIONS OF PALELAS, | 
1 January 1, 1808. 
2 July 1, 1808. 
3 January 1, 1809. 
4 July 1, 1809. 
5 January 1, 1810. 
6 July 1, 1810. 
7 January 1, 181}. 
8 July 1, 1811. 
9 January 1, 1812. 
¥O July 1, 1812. 
POSITIONS OF JUNO: 
x January 1, 1808. 
& July 1, 1808. 
x January 1, 180% 
w July 1, 1809. 
¢ January 1, 1810+ 
6 July 1, 1810. 
y, January 1, 1811.. 
y July 1, 1811. 
6 January 1, 1812. 
have beem already so productive of improvements in practi- 
eal astronomy, has observed Ceres at the last opposition, 
5 which 
