B.A) Gould, Jr., onthe Orbits of the Asteroids. 31 
reckoned in heliocentric ares upon the orbit, and counted from 
the Hebe-node, inasmuch as the latter lies nearest to the perihe- 
lion of Ceres, corresponding to a true anomaly of only 35° 20’. 
Distances from the node of 
Hebe on the Ceres-orbit. 
4° 49’ 
Pallas, : ‘ ; ‘ 
Juno, - - - - 26 42 
Vesta, - - - 4 43 31 
Astrea, - ~ wees : AT 55 
¥, lora, - - - bu = it 50 18 
Iris, - = . 77. 46 
‘These interesting sciniberestinil scoméd to me to make it worth 
while to make still more accurate and extensive investigations 
concerning the relative position of the asteroidal orbits. I have, 
therefore, for every pair of the eight known to us, i. e., for twen- 
ty-eight combinations, calculated the radius vectors in each node. 
” The elements of which I have made use are, for the four older 
asteroids, the osculating elements for the epoch ag to the Ist 
January, 1848, which Dr. Bremiker in Berlin has computed, I 
am indebted for them to the kindness of Professor tata 
For the four newly discovered, I have selected those elements 
which, of all known to me, satisfy wh observations best. These 
are for Astrea and for Hebe, the orbits* of Hrn. D’Arrest in Ber- 
tin 
0 ra | 
The longitudes are referred to ee haetox of Jan. 1, 
‘is that 16 Theor. Motus. 
I &abjpin ‘the following table. of 
found boge ether 
ie i | Period of 
np Te. | in sidereal 
685° 
subsid iary quantities, because, as 
as far as my is ah e extends, they are no where else tobe 
