B. A. Gould, Jr., on the Orbits of the Asteroids. 33 
Of these twenty-eight combinations there are eighteen cases 
in which the orbits lock-into one another, like the links of a chain, 
and ten where the one orbit is entirely inclosed within the other. 
Linked into one another are the following orbits : 
Hebe and Astrea. es and Iris. ~ {Ceres and Juno. 
Juno « “ "Pallas “ Hebe. 
b.wt Flora’ # * fYesta > 
Flora “ a Pallas “ Juno. . JICeres “ e 
Trig... * ‘i Vesta “ “\Pallas “ Flora. 
rae ine tebe” ne, 
Bagel inéluded are the following orbits: - 
ora in that of He 
Tris and Flora in ni “ Juno. 
Astreea and Vesta in that of Pallas. 
_ tis, ee Rie and Pallas, and consequently, also Astrea and Vesta 
~ Ceres. 
“Tadd a a second table, similar to the foregoing, which shows 
the so-called longitude in the orbit for each of the nedes. The 
first two columns give the longitude of the ascending node of 
the first named orbit upon the second. ~The — contains the 
mutual inclinations of the nell 
Longitude in the Len, gita de in the’ 
fret orbit, #% second orbit. 9 | Inclination 
178° 11/184 | 77°20 19-1, | 30° LIT BD 
137 13° -6 137 1119 5 9 25 42 -0 
188 13 4° | -187 55 12 -9 8 47 54 -0 
50 3438-6 | 50 50 31-6 9 15 53-6 
55 16:47 -4 | 55 29 4- 4 24 46-0 
46 0566 46 958 + 3 312-9 
290 15 51-6 | 290 2 24 -2 9 15 33 -4 
3.4 58- 1 7 72 34 4319 6 
123 29 51 -0 124 6 21-0 18 9515 
147 44 30 -0 148 2 22 14 130-7 
0. > -0 80 26 32 -2 16 521 9 
149 11256 | 149 314 °3 ae a i 
31 58 «1 9% 40 33 -9 10 5659-7 | 
29 47 -0 | 180 5256-5 32 16 12% 
210-2 | 154 40.35 -4 9 57 20.3, 
51 41, 2 5 16 466 | 11 21176 
57 40 6 3 18 47 3 6 1240-4 | 
45 34-7" | 84 48 14 2 I 20 te] 
8 59 183° 3:49 -7 16 2115 5 
38 40 -9 163. 6 48.°6 9 1 
47 11 -9 203. 1 59 -4 12 
10 45 8 46 45 59 -0 4 
48 13 -2 187 2859-8 36 
49.11 9 | © 182 39 37 -6 12 43 
34 0 209 21 21 5 16 46 4 
48 39 -1 173 41 12-0 21 35 
23 27 +3 77 1659 * ry 48 
9% 36 3. I 190. 56.32 -0- _% 42 
bala 5 Ay tei: 
é ae 
