The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 98UR43 # Created Sun Nov 22 02:37:09 2009 # Orbit generated from Bernstein formalism # Fitting 29 observations of 30 # Arc: 10.08y # First observation: 1998/10/22 # Last observation: 2008/11/21 Preliminary a, adot, b, bdot, g, gdot: -0.003533 0.042125 -0.000485 0.006202 0.031475 0.000000 # Chi-squared of fit: 115.36 DOF: 52 RMS: 0.35 # Min/Max residuals: -0.80 0.91 # Exact a, adot, b, bdot, g, gdot: 1.891239E-05 3.863483E-02 3.567056E-06 5.672501E-03 3.232853E-02 -4.206944E-03 # Covariance matrix: 2.5498E-13 -9.6630E-14 8.5403E-15 -1.2888E-14 2.0307E-13 -2.0324E-13 -9.6630E-14 9.4935E-14 -1.1035E-14 1.3894E-14 -1.8802E-14 2.1564E-13 8.5403E-15 -1.1035E-14 7.8300E-14 -1.2265E-14 -1.3670E-15 -2.6184E-14 -1.2888E-14 1.3894E-14 -1.2265E-14 6.1259E-15 -2.3723E-15 3.2951E-14 2.0307E-13 -1.8802E-14 -1.3670E-15 -2.3723E-15 3.5920E-13 -4.2997E-14 -2.0324E-13 2.1564E-13 -2.6184E-14 3.2951E-14 -4.2997E-14 5.1137E-13 # lat0 lon0 xBary yBary zBary JD0 -2.743705 36.589832 0.129775 -0.047131 -0.978698 2451108.856041 # Heliocentric elements and errors Epoch: 2451100.5000 = 1998/10/14 Mean Anomaly: 337.71516 +/- 0.008 Argument of Peri: 17.53709 +/- 0.011 Long of Asc Node: 53.90795 +/- 0.000 Inclination: 8.74977 +/- 0.000 Eccentricity: 0.22528367 +/- 0.0001 Semi-Major Axis: 39.80701894 +/- 0.0041 Time of Perihelion: 2456779.1481 +/- 1.7 Perihelion: 30.83914755 +/- 0.0039 Aphelion: 48.77489033 +/- 0.0055 Period (y) 251.1584 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 25.68003857 +/- 0.0005 Ecliptic Y 18.89653702 +/- 0.0003 Ecliptic Z -1.48056716 +/- 0.0000 Ecliptic XDOT -0.00221787 +/- 0.0000 Ecliptic YDOT 0.00243777 +/- 0.0000 Ecliptic ZDOT 0.00049686 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.91763731 +/- 0.0004 Geocenter to KBO 30.93243472 +/- 0.0006 # Hcoef: 8.18
The following table shows the complete astrometric record for 98UR43. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (98UR43) followed by the observatory code and reference code for the source of the astrometry.
1998 10 22.35531 02 20 42.94 +11 07 23.2 22.6R 98UR43 695 Ca3120 1998 10 22.48840 02 20 42.12 +11 07 19.8 98UR43 695 Ca3120 1998 11 18.08203 02 18 02.92 +10 55 37.9 98UR43 695 Ca3120 1998 11 18.15126 02 18 02.53 +10 55 36.5 98UR43 695 Ca3120 1998 11 18.23630 02 18 02.09 +10 55 33.9 98UR43 695 Ca3120 1998 12 17.84887 02 15 42.56 +10 46 54.6 98UR43 950 Ca3601 1998 12 17.88315 02 15 42.46 +10 46 54.2 98UR43 950 Ca3601 1998 12 18.82521 02 15 39.24 +10 46 45.1 21.9R 98UR43 950 Ca3601 1998 12 18.87145 02 15 39.11 +10 46 44.8 20.6R 98UR43 950 Ca3601 1999 10 10.49534 02 30 04.54 +12 14 19.2 22.9R 98UR43 568 Ca7321 1999 10 10.56097 02 30 04.18 +12 14 18.1 23.1R 98UR43 568 Ca7321 1999 11 09.47782 02 27 04.96 +12 01 04.4 23.0R 98UR43 568 Ca7321 1999 11 09.50362 02 27 04.78 +12 01 03.9 22.9R 98UR43 568 Ca7321 1999 11 11.07703 02 26 55.25 +12 00 23.6 98UR43 829 Cb7501 1999 11 11.14671 02 26 54.79 +12 00 21.8 98UR43 829 Cb7501 1999 11 13.14409 02 26 42.80 +11 59 31.0 98UR43 829 Cb7501 1999 11 13.25619 02 26 42.03 +11 59 28.7 98UR43 829 Cb7501 2000 01 02.10456 02 23 02.33 +11 46 34.2 23.3R 98UR43 697 Ca9905 2000 01 02.14873 02 23 02.26 +11 46 33.7 23.2R 98UR43 697 Ca9905 2000 01 03.10676 02 23 00.37 +11 46 32.3 23.4R 98UR43 697 Ca9905 2000 01 04.08322 02 22 58.46 +11 46 30.1 98UR43 697 Ca9905 2000 01 05.07674 02 22 56.71 +11 46 29.1 23.5R 98UR43 697 Ca9905 2000 01 05.19167 02 22 56.54 +11 46 29.1 23.0R 98UR43 697 Ca9905 2002 11 05.40671 02 52 47.62 +15 05 01.8 22.5R 98UR43 568 Cl8244 2002 11 05.46377 02 52 47.24 +15 05 00.3 98UR43 568 Cl8244 2002 11 06.47599 02 52 40.80 +15 04 35.8 98UR43 568 Cl8244 2008 11 21.72180 03 45 11.84 +20 37 37.7 24.4R 98UR43 250 S~06AK 2008 11 21.72805 03 45 11.80 +20 37 37.6 98UR43 250 S~06AK 2008 11 21.73499 03 45 11.75 +20 37 37.5 98UR43 250 S~06AK 2008 11 21.74194 03 45 11.71 +20 37 37.3 98UR43 250 S~06AK
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 0.00 0.00 -0.16 2 0.0004 -12.52 -0.04 0.71 0.18 3 0.0732 -2457.27 -0.64 102.73 0.91 4 0.0734 -2463.16 ( -0.45) 103.29 ( 1.08) 5 0.0736 -2470.13 0.07 102.96 0.27 6 0.1547 -4582.79 -0.41 287.80 0.48 7 0.1548 -4584.32 -0.12 287.91 0.32 8 0.1573 -4632.14 -0.21 294.95 0.54 9 0.1575 -4634.05 0.26 295.30 0.52 10 0.9668 9108.75 -0.11 1149.92 -0.04 11 0.9670 9103.38 0.23 1150.55 0.46 12 1.0489 6355.28 0.57 1236.37 -0.34 13 1.0490 6352.61 0.34 1236.75 -0.08 14 1.0533 6207.12 0.28 1243.34 -0.26 15 1.0535 6200.14 -0.16 1243.80 -0.14 16 1.0590 6017.05 0.41 1252.04 -0.62 17 1.0593 6005.60 -0.62 1253.48 0.28 18 1.1958 2701.54 0.00 1558.76 -0.31 19 1.1959 2700.40 0.23 1558.62 -0.80 20 1.1985 2673.68 0.78 1566.27 -0.20 21 1.2012 2646.43 -0.40 1573.27 -0.44 22 1.2039 2621.79 -0.32 1580.64 -0.46 23 1.2042 2619.42 0.22 1581.45 -0.56 24 4.0385 31397.15 0.04 4839.19 0.02 25 4.0386 31391.31 -0.15 4839.37 -0.04 26 4.0414 31292.72 -0.24 4843.39 0.17 27 10.0845 84005.83 -0.03 12900.13 0.07 28 10.0845 84005.17 0.01 12900.15 0.08 29 10.0845 84004.34 -0.03 12900.21 0.11 30 10.0846 84003.65 0.06 12900.13 0.01
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
98UR43 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.892 39.904 39.879 ecceobj 0.227 0.228 0.227 incobj 8.744 8.744 8.744 qmin 30.540 30.550 30.531 qmax 48.566 48.514 48.475 amean 39.454 39.455 39.455 amin 39.350 39.338 39.360 amax 39.572 39.583 39.562 emean 0.210 0.210 0.209 emin 0.191 0.191 0.191 emax 0.228 0.226 0.227 imean 8.083 8.058 8.107 imin 7.351 7.357 7.345 imax 9.223 9.182 9.272 excite_mean 0.253 0.253 0.253 fracstop 1.000 1.000 1.000 cjmean 2.980 2.980 2.980 libcent 0 180.0 180.6 179.8 libamp 0 47.8 54.9 42.8 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 192.6 189.6 195.3 kozaiamp 180.0 179.9 180.0