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: 03QX113
# Created Thu May 24 01:37:17 2012
# Orbit generated from Bernstein formalism
# Fitting 23 observations of 23
# Arc: 4.87y
# First observation: 2003/06/23
# Last observation: 2008/05/05
Preliminary a, adot, b, bdot, g, gdot:
-0.000200 0.012444 -0.000027 -0.001449 0.016820 0.000000
# Chi-squared of fit: 32.60 DOF: 40 RMS: 0.21
# Min/Max residuals: -0.46 0.49
# Exact a, adot, b, bdot, g, gdot:
9.109979E-06 1.259131E-02 -1.535215E-06 -1.472585E-03 1.731021E-02 2.566557E-03
# Covariance matrix:
3.9410E-13 -5.9324E-14 -1.5851E-15 -1.2120E-15 2.6614E-13 2.7403E-13
-5.9324E-14 1.3939E-13 9.7107E-15 -1.6225E-14 1.2742E-13 2.3581E-12
-1.5851E-15 9.7107E-15 1.9527E-13 -5.8032E-14 8.9483E-15 1.9730E-13
-1.2120E-15 -1.6225E-14 -5.8032E-14 2.6940E-14 -2.0155E-14 -3.3601E-13
2.6614E-13 1.2742E-13 8.9483E-15 -2.0155E-14 5.0424E-13 3.0613E-12
2.7403E-13 2.3581E-12 1.9730E-13 -3.3601E-13 3.0613E-12 4.8996E-11
# lat0 lon0 xBary yBary zBary JD0
1.281277 -31.872174 0.849084 0.012654 -0.565867 2452814.102673
# Heliocentric elements and errors
Epoch: 2452810.5000 = 2003/06/20
Mean Anomaly: 124.65372 +/- 0.089
Argument of Peri: 24.50456 +/- 0.079
Long of Asc Node: 158.05054 +/- 0.001
Inclination: 6.76880 +/- 0.001
Eccentricity: 0.25611208 +/- 0.0003
Semi-Major Axis: 49.38780977 +/- 0.0074
Time of Perihelion: 2408913.9056 +/- 29.8
Perihelion: 36.73899521 +/- 0.0140
Aphelion: 62.03662433 +/- 0.0158
Period (y) 347.0866 +/- 0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 49.07724121 +/- 0.0020
Ecliptic Y -31.51161590 +/- 0.0013
Ecliptic Z 1.29170206 +/- 0.0001
Ecliptic XDOT 0.00139486 +/- 0.0000
Ecliptic YDOT 0.00146889 +/- 0.0000
Ecliptic ZDOT -0.00022359 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 58.33717541 +/- 0.0018
Geocenter to KBO 57.76935882 +/- 0.0024
# Hcoef: 4.83
The following table shows the complete astrometric record for 03QX113. 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 (03QX113) followed by the observatory code and reference code for the source of the astrometry.
2003 06 23.60193 21 59 23.03 -10 55 18.4 23.0i 03QX113 568 Cq9889 2003 08 31.32283 21 56 02.87 -11 13 37.5 22.8g 03QX113 568 Cq9889 2003 08 31.35679 21 56 02.76 -11 13 38.2 22.7g 03QX113 568 Cq9889 2003 08 31.38376 21 56 02.67 -11 13 38.6 22.8g 03QX113 568 Cq9889 2003 09 04.43946 21 55 49.14 -11 14 55.7 22.5g 03QX113 568 Cq9889 2004 08 12.39090 21 59 58.24 -10 57 40.3 22.6r 03QX113 568 Cq9889 2004 08 12.42109 21 59 58.13 -10 57 40.9 22.7r 03QX113 568 Cq9889 2004 08 12.45562 21 59 58.02 -10 57 41.5 22.3r 03QX113 568 Cq9889 2004 08 14.41455 21 59 51.36 -10 58 18.9 22.5r 03QX113 568 Cq9889 2005 07 08.57826 22 04 34.49 -10 37 49.1 21.3r 03QX113 568 Cq9889 2005 07 08.61262 22 04 34.41 -10 37 49.6 21.3r 03QX113 568 Cq9889 2005 07 09.53101 22 04 32.21 -10 38 01.5 21.2r 03QX113 568 Cq9889 2006 08 06.30738 22 06 04.04 -10 35 08.6 03QX113 250 S~06Ad 2006 08 06.36140 22 06 03.86 -10 35 09.6 03QX113 250 S~06Ad 2006 08 06.36579 22 06 03.84 -10 35 09.7 03QX113 250 S~06Ad 2006 08 06.37019 22 06 03.83 -10 35 09.8 03QX113 250 S~06Ad 2006 09 24.12177 22 03 25.90 -10 50 27.0 22.4R 03QX113 688 Cs0973 2006 09 24.21723 22 03 25.61 -10 50 29.2 03QX113 688 Cs0973 2007 09 11.34789 22 06 56.11 -10 36 17.7 22.1r 03QX113 695 Cv8576 2007 09 12.34858 22 06 52.92 -10 36 36.5 22.3r 03QX113 695 Cv8576 2008 05 03.47882 22 13 27.43 -10 04 39.0 03QX113 695 Cz0403 2008 05 05.47647 22 13 30.66 -10 04 21.0 03QX113 695 Cz0403 2008 05 05.48001 22 13 30.64 -10 04 21.0 03QX113 695 Cz0403
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 0.49 0.00 0.04 2 0.1881 -3144.97 0.03 -22.69 -0.08 3 0.1882 -3146.73 0.09 -22.80 -0.16 4 0.1883 -3148.11 0.16 -22.72 -0.06 5 0.1994 -3361.58 -0.14 -27.25 -0.04 6 1.1384 438.00 -0.14 -311.74 0.12 7 1.1385 436.27 -0.23 -311.75 0.12 8 1.1385 434.55 -0.09 -311.75 0.13 9 1.1439 329.59 -0.46 -313.08 0.16 10 2.0424 4669.88 -0.03 -603.74 -0.29 11 2.0425 4668.60 -0.01 -603.80 -0.36 12 2.0450 4634.03 -0.21 -603.67 -0.15 13 3.1203 5964.20 0.24 -913.70 0.30 14 3.1205 5961.36 0.17 -913.71 0.32 15 3.1205 5961.05 0.08 -913.70 0.34 16 3.1205 5960.88 0.14 -913.74 0.30 17 3.2540 3458.16 0.17 -963.06 0.06 18 3.2543 3453.39 -0.30 -963.64 -0.40 19 4.2183 6660.06 0.31 -1246.97 -0.01 20 4.2211 6609.37 0.00 -1248.12 0.02 21 4.8621 12747.27 -0.07 -1504.86 -0.01 22 4.8676 12798.45 0.07 -1504.96 -0.23 23 4.8676 12798.17 -0.29 -1504.85 -0.13
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.
03QX113 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 49.705 49.727 49.683 ecceobj 0.248 0.249 0.248 incobj 6.732 6.732 6.732 qmin 36.870 36.868 36.873 qmax 62.572 62.612 62.548 amean 49.650 49.656 49.630 amin 49.554 49.553 49.537 amax 49.723 49.752 49.722 emean 0.251 0.251 0.250 emin 0.245 0.244 0.244 emax 0.258 0.259 0.258 imean 5.892 5.877 5.878 imin 5.358 5.294 5.286 imax 6.607 6.610 6.608 excite_mean 0.271 0.271 0.271 fracstop 1.000 1.000 1.000 cjmean 3.079 3.079 3.079 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 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 176.4 176.7 176.8 kozaiamp 179.9 179.9 179.9