ue 



DETERMINATION OP THE LONGITUDE OF SEVERAL. 



Station No. 3. South Bend, Lake Michigan, Latitude 41° 37' 6' 



JSTame* Apparent R. A, Wires, 



h. TJl, s. 



I835,Aug.31, Moon I., 17 17 52-15 5 



DOphiuchi, 17 33 34-17 5 



4 Sagittarii, 17 49 44-45 5 



Sept. 1, 4 Sagittarii, 17 49 44-41 5 



Moon I., 18 22 1007 5 



2, 9 Sagittarii, 18 35 23-03 5 



»• Sagittarii, 18 45 4-07 5 



Moon I., 19 26 25-69 5 



c Sagittarii, 19 52 32-73 5 



3, 59 Sagittarii, 19 46 51-44 5 



c Sagittarii, 19 52 32-88 5 



Moon I., 20 28 35-30 5 



4 Capricorni, 20 36 21-59 5 



« Capricorni, 20 55 2-97 5 



4, 4 Capricorni, 20 36 21-51 5 



« Capricorni, 20 55 2-87 5 



Moon L, 21 27 14-72 5 



6, cT Capricorni, 21 37 58-11 5 



^ Capricorni, 21 44 20-61 5 



JVame. Apparent R. A. Wires, 

 h. m. s. 



1835, Sep. 6, /"Capricorni, 21 44 20-34 5 



T^Aquarii, 22 40 53-47 5 



J' Aquarii, 22 45 55-89 5 



^^Aquarii, 23 10 25-23 5 



*Moon I., 23 13 2-95 5 



Moon II., 23 15 12-49 5 



s Piscium, 23 56 55-53 5 



7, 4' Aquarii, 23 10 24-86 5 

 n Piscium, 23 39 30-21 5 

 s Piscium, 23 56 5565 5 



Moon II., 3 26-86 5 



8, 5 Piscium, 23 56 .'iS 78 5 



Moon II., 49 54-54 3 



e Piscium, 59 55-13 5 



10, Piscium, 1 36 43-16 5 



e Piscium, 1 45 3-30 5 



Moon II., 2 21 28-19 4 



M Ceti, 2 36 3-87 5 



?r Arietis, 2 40 7-29 4 



SECTION III. 



To facilitate the final determination of the longitudes of these sta- 

 tions, a subsidiary Table I. has been prepared by interpolation from 

 the series in the Nautical Almanac, which expresses the right ascen- 

 sion of the moon's bright limb at its upper and lower culmination at 

 Greenwich. In this Table, employing the usual notation for series, 

 a o+r = '-The observed R. A., moon's bright limb, as given in list 

 of moon-culminations for the several stations, 

 /' = The western longitude from Greenwich in seconds of time, 

 which must be used as an argument, in order to inter- 

 polate from the series in the N. Almanac, the value of 

 as observed 



log. n = 



Log. factor, to convert seconds of a o + j- into seconds of / ' ; 

 in other words, to convert parts of the series into parts 

 of the argument. 



* 0-10 sec. have been subtracted from the time of transit of the first limb, for defective 

 illumination. See Table II. 



