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: 03QG91 # Created Tue Dec 31 02:08:27 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 18 observations of 18 # Arc: 18.05y # First observation: 2003/08/24 # Last observation: 2021/09/12 # Chi-squared of fit: 110.13 DOF: 30 RMS: 0.44 # Min/Max residuals: -0.97 0.64 # Exact a, adot, b, bdot, g, gdot: 1.565313E-05 2.343038E-02 -1.510220E-06 1.349532E-04 2.418696E-02 -6.007329E-04 # Covariance matrix: 2.2781E-13 -4.9070E-14 1.4269E-15 -2.4357E-16 -6.5145E-14 -7.9820E-14 -4.9070E-14 3.1436E-14 -8.4318E-18 1.8132E-16 -1.0979E-14 6.7736E-14 1.4269E-15 -8.4318E-18 1.4048E-13 -1.0380E-14 -3.0431E-15 3.0690E-16 -2.4357E-16 1.8132E-16 -1.0380E-14 1.7671E-15 -5.1751E-17 4.1229E-16 -6.5145E-14 -1.0979E-14 -3.0431E-15 -5.1751E-17 1.7502E-13 -4.3368E-14 -7.9820E-14 6.7736E-14 3.0690E-16 4.1229E-16 -4.3368E-14 1.5660E-13 # lat0 lon0 xBary yBary zBary JD0 -2.228799 -50.339795 -0.358016 -0.036912 -0.949500 2452875.513503 # Heliocentric elements and errors Epoch: 2452876.5000 = 2003/08/25 Mean Anomaly: 271.50850 +/- 0.179 Argument of Peri: 9.67961 +/- 0.190 Long of Asc Node: 30.88358 +/- 0.003 Inclination: 2.20775 +/- 0.000 Eccentricity: 0.01682665 +/- 0.0000 Semi-Major Axis: 42.29776498 +/- 0.0030 Time of Perihelion: 2477575.1737 +/- 50.7 Perihelion: 41.58603541 +/- 0.0031 Aphelion: 43.00949455 +/- 0.0032 Period (y) 275.0960 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 27.24729322 +/- 0.0005 Ecliptic Y -32.30374659 +/- 0.0005 Ecliptic Z -1.60795900 +/- 0.0000 Ecliptic XDOT 0.00199354 +/- 0.0000 Ecliptic YDOT 0.00173886 +/- 0.0000 Ecliptic ZDOT 0.00001808 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.29105650 +/- 0.0005 Geocenter to KBO 41.34464491 +/- 0.0007 # Hcoef: 7.37
The following table shows the complete astrometric record for 03QG91. 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 (03QG91) followed by the observatory code and reference code for the source of the astrometry.
2003 08 24.01276 20 50 56.04 -19 58 44.3 22.7R 03QG91 807 Ci4137 2003 08 24.11630 20 50 55.56 -19 58 46.2 03QG91 807 Ci4137 2003 08 25.02086 20 50 51.49 -19 59 01.1 03QG91 807 Ci4137 2003 10 23.09315 20 48 18.64 -20 06 26.9 23.2R 03QG91 695 Cj4699 2003 10 24.09751 20 48 18.63 -20 06 22.7 03QG91 695 Cj4699 2004 07 16.11984 20 59 25.47 -19 23 56.9 22.8R 03QG91 807 Cr3580 2004 07 16.22312 20 59 25.04 -19 23 59.3 03QG91 807 Cr3580 2006 04 27.34719 21 12 32.85 -18 23 03.5 23.5R 03QG91 807 Cr3580 2006 04 28.36019 21 12 34.58 -18 22 58.1 03QG91 807 Cr3580 2007 05 14.84962 21 18 07.35 -17 58 12.0 24.1R 03QG91 250 S~06Ad 2007 05 14.85656 21 18 07.35 -17 58 12.0 03QG91 250 S~06Ad 2007 05 14.86350 21 18 07.36 -17 58 12.0 03QG91 250 S~06Ad 2007 05 14.87045 21 18 07.36 -17 58 12.0 03QG91 250 S~06Ad 2013 10 06.18169 21 41 59.28 -15 59 24.0 23.3R 03QG91 695 C~0zdV 2013 10 07.15894 21 41 56.69 -15 59 34.2 03QG91 695 C~0zdV 2021 09 12.166530 22 25 01.821 -11 56 09.53 23.9G 03QG91 G37 C~553k 2021 09 12.222160 22 25 01.508 -11 56 11.06 03QG91 G37 C~553k 2021 09 12.281130 22 25 01.303 -11 56 12.54 03QG91 G37 C~553k
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 -0.17 0.00 0.30
2 0.0003 0.00 -0.24 0.00 0.13
3 0.0028 0.00 -0.32 0.00 0.08
4 0.1645 0.00 0.37 0.00 -0.48
5 0.1672 0.00 0.59 0.00 0.41
6 0.8956 0.00 -0.70 0.00 0.46
7 0.8959 0.00 0.00 0.00 0.12
8 2.6758 0.00 -0.23 0.00 -0.07
9 2.6786 0.00 -0.97 0.00 0.60
10 3.7230 0.00 0.55 0.00 -0.53
11 3.7230 0.00 0.52 0.00 -0.52
12 3.7231 0.00 0.64 0.00 -0.51
13 3.7231 0.00 0.61 0.00 -0.49
14 10.1196 0.00 -0.32 0.00 0.30
15 10.1222 0.00 -0.30 0.00 0.37
16 18.0538 0.00 0.37 0.00 0.13
17 18.0540 0.00 -0.60 0.00 -0.06
18 18.0541 0.00 0.28 0.00 -0.12
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.
03QG91 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.562 42.562 42.562 ecceobj 0.021 0.021 0.021 incobj 2.206 2.206 2.206 qmin 40.261 40.268 40.257 qmax 45.029 45.017 45.037 amean 42.564 42.564 42.564 amin 42.241 42.240 42.245 amax 42.897 42.898 42.900 emean 0.030 0.029 0.030 emin 0.005 0.006 0.005 emax 0.050 0.050 0.050 imean 1.822 1.822 1.822 imin 0.313 0.313 0.313 imax 2.684 2.684 2.685 excite_mean 0.046 0.046 0.046 fracstop 1.000 1.000 1.000 cjmean 3.082 3.082 3.082 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 178.1 178.1 178.0 kozaiamp 180.0 180.0 180.0