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: 03QD112 # Created Thu May 24 01:37:17 2012 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 5.23y # First observation: 2002/08/20 # Last observation: 2007/11/11 Preliminary a, adot, b, bdot, g, gdot: 0.021649 0.157365 0.006786 0.039459 0.088197 0.000000 # Chi-squared of fit: 51.57 DOF: 20 RMS: 0.35 # Min/Max residuals: -0.79 0.61 # Exact a, adot, b, bdot, g, gdot: 3.323532E-05 2.127976E-01 1.213384E-05 5.503745E-02 1.048976E-01 1.083804E-01 # Covariance matrix: 4.8511E-13 -4.7740E-13 6.4026E-14 -1.2010E-13 3.7981E-14 -5.4068E-13 -4.7740E-13 1.2469E-12 -1.6518E-13 3.0545E-13 6.4940E-13 1.3317E-12 6.4026E-14 -1.6518E-13 2.6415E-13 -1.2101E-13 -7.0641E-14 -1.9218E-13 -1.2010E-13 3.0545E-13 -1.2101E-13 1.3984E-13 1.2664E-13 3.5680E-13 3.7981E-14 6.4940E-13 -7.0641E-14 1.2664E-13 9.5496E-13 5.1227E-13 -5.4068E-13 1.3317E-12 -1.9218E-13 3.5680E-13 5.1227E-13 1.5699E-12 # lat0 lon0 xBary yBary zBary JD0 -4.344513 -12.971632 0.347660 -0.072288 -0.950791 2452506.957063 # Heliocentric elements and errors Epoch: 2452500.5000 = 2002/08/14 Mean Anomaly: 18.35746 +/- 0.002 Argument of Peri: 274.00988 +/- 0.002 Long of Asc Node: 0.61832 +/- 0.000 Inclination: 14.50926 +/- 0.000 Eccentricity: 0.58080533 +/- 0.0000 Semi-Major Axis: 18.96513408 +/- 0.0013 Time of Perihelion: 2450962.1952 +/- 0.0 Perihelion: 7.95008303 +/- 0.0007 Aphelion: 29.98018512 +/- 0.0021 Period (y) 82.5928 +/- 0.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 10.11401978 +/- 0.0001 Ecliptic Y -2.68102496 +/- 0.0000 Ecliptic Z -0.72202763 +/- 0.0000 Ecliptic XDOT 0.00409369 +/- 0.0000 Ecliptic YDOT 0.00475207 +/- 0.0000 Ecliptic ZDOT 0.00121828 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 10.48821314 +/- 0.0001 Geocenter to KBO 9.53310740 +/- 0.0001 # Hcoef: 10.74
The following table shows the complete astrometric record for 03QD112. 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 (03QD112) followed by the observatory code and reference code for the source of the astrometry.
2002 08 20.45632 23 19 06.68 -09 07 18.6 20.2R 03QD112 644 Ck9589 2002 08 29.49175 23 16 48.46 -09 17 52.7 20.2R 03QD112 644 Ck9589 2002 09 15.44024 23 12 15.04 -09 37 13.5 20.6R 03QD112 644 Ck9589 2003 08 26.29534 23 53 52.95 -02 12 15.2 20.3R 03QD112 807 Ci4592 2003 08 26.40006 23 53 51.56 -02 12 21.4 03QD112 807 Ci4592 2003 09 03.13917 23 52 05.71 -02 20 33.3 21.3R 03QD112 304 Ci4592 2003 09 03.26274 23 52 03.91 -02 20 42.3 03QD112 304 Ci4592 2003 10 22.15454 23 40 35.22 -03 11 33.7 21.5R 03QD112 695 Cj4700 2003 10 22.24844 23 40 34.13 -03 11 37.6 03QD112 695 Cj4700 2003 12 17.21507 23 37 28.00 -03 03 49.7 22.0R 03QD112 568 Ck9589 2003 12 17.25579 23 37 28.20 -03 03 47.2 03QD112 568 Ck9589 2007 11 11.26234 01 14 23.00 +14 39 52.8 22.4R 03QD112 688 Cw6790 2007 11 11.32366 01 14 22.32 +14 39 49.9 03QD112 688 Cw6790
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 -0.24 0.00 -0.79 2 0.0247 -2131.45 -0.24 218.58 0.54 3 0.0711 -6311.48 0.50 725.93 0.14 4 1.0153 38981.37 -0.37 10468.37 -0.17 5 1.0156 38959.03 -0.15 10471.13 -0.11 6 1.0368 37251.96 0.61 10661.80 0.29 7 1.0371 37222.70 0.11 10664.44 -0.40 8 1.1710 26285.69 0.04 12015.49 0.30 9 1.1712 26268.89 -0.05 12018.45 0.39 10 1.3245 23869.23 -0.05 13573.67 -0.06 11 1.3246 23873.04 -0.19 13574.79 -0.07 12 5.2260 150091.49 0.05 44113.81 -0.65 13 5.2262 150075.70 -0.03 44114.14 0.60
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.
03QD112 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 19.099 19.104 19.094 ecceobj 0.583 0.583 0.583 incobj 14.492 14.492 14.492 qmin 7.904 7.834 7.765 qmax 30.268 40.757 32.730 amean 18.893 20.530 19.087 amin 18.534 18.904 18.255 amax 19.112 24.461 20.345 emean 0.580 0.610 0.587 emin 0.574 0.584 0.575 emax 0.584 0.666 0.609 imean 14.994 15.142 14.878 imin 14.835 14.357 14.609 imax 15.114 15.588 15.031 excite_mean 0.635 0.664 0.640 fracstop 0.000 0.002 0.001 cjmean 2.836 2.729 2.821 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 275.6 298.1 281.3 kozaiamp 1.7 26.9 8.2