52 



Mr. Walker, Mr. Loomis compares with the ephemeris of Mr. R. 

 Kysa3us, and thence deduces, for six intermediate dates, the normal 

 places of the Comet, for 8 o'clock P. M., mean time Berlin. 









Correct ions of 





Date 

 1840. 



Comet's places freed from aberration. 



Ephemeris. 



Probable er- 

 ror of normal 

 places. 



A. R. 



Dec. 



A. R. 



Dec. 



d h 



O / // 



O l 











Jan. 31 8 



326 25 5.3 



+ 61 25 



15.4 



+ 14.7 



— 8.1 



+ 2.7 



Feb. 12 8 



358 8 24.9 



51 2 



50.7 



— 12.7 



— 1.1 



2.5 



23 8 



13 19 360 



40 11 



32.5 



— 17.3 



+ 7.8 



1.7 



March 3 8 



21 1 17.4 



32 39 



19.0 



— 28.0 



+ 17.6 



1.2 



12 8 



26 34 40.9 



26 23 



14.8 



— 32.6 



+ 22.4 



1.5 



24 8 



32 9 57.6 



19 52 



15.7 



— 40.2 



+ 25.0 



1.9 



Prof. Loomis then gives the perturbations of the Comet, computed 

 after the method of Bessel for the Comet of 1807, for 3 intervals of 

 18 days each, from which their values are interpolated for the 6 dates, 

 and subtracted from the Comet's normal places, previously referred 

 to the ecliptic, and the mean equinox, Jan. 1st, 1840: thus 





Perturbations. 













Comet's Lonsitude less 

 Perturbations. 



Comet's Latitude less 

 Perturbations. 



Date. 



Long. 



Lat. 



Jan. 31 



6.0 



o.o 



15 6 50.0 



+ 65 37 49.6 



Feb. 12 



0.0 



— 1.1 



24 50 22.3 



46 10 41.5 



23 



— 0.2 



— 1.9 



29 22 27.8 



31 27 35.5 



March 3 



— 0.4 



— 2.3 



32 2 14.6 



22 28.2 



12 



— 0.7 



— 2.5 



34 14 5.2 



14 26 39.0 



24 



— 1.1 



— 2.7 



36 45 4.7 



6 27 27.7 



From these, by means of 12 equations of condition resolved by 

 the method of least squares, Prof. Loomis derives the parabolic ele- 

 ments of the Comet, and then by varying the sixth element, (the ec- 

 centricity,) after Bessel's example, obtains the elliptic elements, both 

 as follows, the motion being retrograde. 



Perihel. passage, m. t. Berlin, 



Parabolic Elements. 



Elliptic Elements. 



March \2d. 981921 



March 13d. 153768 



Longitude of Perihel. 



,, ascending node, 

 Inclination of orbit, 

 Logarithm, of Perihel. dis. 

 Eccentricity, 

 Semi-axis major, 

 Periodic time, 



80 20 24.4 



236 48 39.3 



59 14 2.4 



0.0870185 



80 12' 3.52 



236 50 34 67 



59 12 36.14 



0.0865202 



0.99323412 



180.383 



2422.6 yrs. 



