52 Art. 3.— K. Hirayama: 



64. For the class 3/1, taking 25 asteroids with n—Ua within 

 the limits— 25" and + 25", the following results are obtained: — 



3/1 710=897-39 p.py.lQ- =0-021 b 



No. Epoch -o I l n a;Xl02eXlO 6 CxlO* £Xl02 i^jXlOS F1XIO2 Type 



765 1913 X 3-5 367 2 1°3 295°7 874-04 -2-60 2-81 287°6 +7'16 +11-36 43-4 Ki 



714 1911 V 25-5 102-7 2142 224-1 874-17 -2-59 0-45 107-3 +6-70 + 3-65 40-6 



472 1908 III 23-0 62-2 177*7 127-8 875-74 -2-41 0-98 278-7 +5-83 + 4.17 35-3 



787 1914 IV 22-5 309-5 230-8 312-4 876-73 -2-30 1-24 2726 +5-30 + 4-60 321 



355 1905 I 2-5 86-9 99-3 30-1 877-28 -2-24 1.08 182-8 +4-82 + 4-15 292 



695 1909 XI 7-5 353-4 40-6 177*2 877-30 -2-24 1-56 215-8 +4'69 + 542 28-4 



660 1908 I 12-5 2640 126-0 121-9 877-99 -2-16 1-03 288-3 +4-72 + 3-94 28-6 



421 1912 VIII 29-0 34-6 349-8 262-4 87856 -2-10 292 351-8 +5-79 +11-32 35-1 



292 1902 IV 40 331-4 206-7 306-6 881-55 -1-77 0-29 309-7 +3-14 + 2-44 19-0 



46 1910 XI 28-0 354-5 62.6 209-2 884-45 -1.44 1-67 144-0 +1-71 + 4-71 10-4 



518 1903 X 20.5 322-5 10-2 353-5 885-77 -1-29 2-23 314-7 +2-24 + 6-56 13-6 



619 1906 X 22-5 2-4 37-7 84-8 886-62 -1-20 0-75 148-1 +1-35 + 2-16 8-2 



132 1895 XI 30 5 152-4 123-2 114-2 903-69 +0-70 3-31 85-4 +0-64 +10-02 3-9 



495 1902 XI 21-5 26-5 47-4 325-9 910-12 +1-42 1*47 202-7 +1-68 + 0-27 10-2 



329 1901 VIII 27*0 217-0 337-1 288-3 912-13 +1-64 0-28 266-2 +2-69 - 2-11 



335 1906 II 2-0 288'8 134-3 62-9 912-66 +1*70 1-80 163-2 +2-38 + 0-97 14*4 



17 1911 VII 26-0 263-0 290-0 229-1 913-55 +1-80 1-33 128-7 +3-06 - 063 



248 1905 VIII 6-0 247-8 319-5 48-0 913-94 +1-84 0-64 311-1 +3-43 - 2-05 



556 1905 I 16-5 101-0 116-6 31-2 915-85 +2-06 1-01 225*0 +4-13 - 1-73 



752 1913 V 10-5 105-8 212-5 283-6 917-80 +2-27 0-74 293-3 +5-18 - 2-48 



623 1907 II 5-5 71*7 1230 936 91832 +2-33 1-15 3456 +563 - 1-79 



650 1907 X 4*5 31-7 34-8 113-6 918-48 +2-35 1-87 117-4 +5-25 + 0-36 31-8 



732 1912 IV 24-5 236-9 212-8 252-0 919-07 +242 0-46 290-6 +5-87 - 3*02 



178 1910 III 130 261-3 1781 187-6 919-41 +245 0-45 137-9 +5-98 - 3-07 



198 1910 VII 31-0 356-4 3106 199-2. 920*05 +2-53 2-23 65 8 +675 + 1-82 40-9 



♦ £sX 102=4-0 



All the asteroids except (132) make the revolution of Type 1 or 

 Type 3. Tlie asteroid (132) seems to make the libration of Type 

 2. But this asteroid has not been observed since its discovery in 

 1873 and is known as one of the lost planets. ^^ So the existence 



1) Mr. D. Alter corrected the mean motion of this asteroid to 883'. 47 on the assumption 

 of its identity with the object observed at the Lowell Observatory in 1913. See the Lick 

 Obe. Bull. Nos. 275 and 285. 



