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: 531074 # Created Fri Nov 22 02:07:26 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 81 observations of 81 # Arc: 18.11y # First observation: 2002/03/12 # Last observation: 2020/04/19 # Chi-squared of fit: 77.88 DOF: 156 RMS: 0.17 # Min/Max residuals: -0.55 0.92 # Exact a, adot, b, bdot, g, gdot: 1.683647E-05 3.227350E-02 -3.270761E-06 -6.987955E-03 2.845335E-02 -3.646515E-03 # Covariance matrix: 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 # lat0 lon0 xBary yBary zBary JD0 4.880075 168.746461 -0.052860 0.084344 -0.988857 2452345.762252 # Heliocentric elements and errors Epoch: 2452346.5000 = 2002/03/13 Mean Anomaly: 343.58353 +/- 0.000 Argument of Peri: 187.68925 +/- 0.000 Long of Asc Node: 9.70884 +/- 0.000 Inclination: 13.10918 +/- 0.000 Eccentricity: 0.26938053 +/- 0.0000 Semi-Major Axis: 48.13375580 +/- 0.0000 Time of Perihelion: 2457908.7476 +/- 0.0 Perihelion: 35.16745897 +/- 0.0000 Aphelion: 61.10005264 +/- 0.0000 Period (y) 333.9511 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -35.32743168 +/- 0.0000 Ecliptic Y 6.98056359 +/- 0.0000 Ecliptic Z 2.98972443 +/- 0.0000 Ecliptic XDOT -0.00032768 +/- 0.0000 Ecliptic YDOT -0.00310385 +/- 0.0000 Ecliptic ZDOT -0.00069959 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.13445831 +/- 0.0000 Geocenter to KBO 35.14535826 +/- 0.0000 # Hcoef: 7.26
The following table shows the complete astrometric record for 531074. 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 (531074) followed by the observatory code and reference code for the source of the astrometry.
2002 03 12.261509 11 26 20.47 +08 56 23.1 22.4V 531074 645 C~2VVI 2002 03 12.262339 11 26 20.45 +08 56 23.3 21.6V 531074 645 C~2VVI 2006 01 07.515007 11 55 14.55 +04 02 30.0 22.4V 531074 645 C~2VVI 2006 01 07.515837 11 55 14.55 +04 02 29.9 22.2V 531074 645 C~2VVI 2006 01 07.518324 11 55 14.56 +04 02 30.0 24.0V 531074 645 C~2VVI 2010 06 30.30102 12 11 12.226 +00 11 52.87 22.5G 531074 F51 C~2rXs 2010 07 01.29948 12 11 13.814 +00 11 35.41 23.0G 531074 F51 C~2rXs 2011 03 14.58942 12 22 53.701 -01 21 53.84 22.3G 531074 F51 C~2rXs 2012 02 27.47944 12 30 30.890 -02 39 16.56 22.6w 531074 F51 C~1vWc 2012 02 27.49423 12 30 30.829 -02 39 16.51 22.9w 531074 F51 C~1vWc 2012 02 27.52376 12 30 30.696 -02 39 15.80 22.9w 531074 F51 C~1vWc 2012 04 12.34319 12 26 42.668 -02 18 17.36 22.5w 531074 F51 C~1vWc 2012 04 12.35713 12 26 42.598 -02 18 17.01 22.2w 531074 F51 C~1vWc 2012 04 12.37113 12 26 42.527 -02 18 16.62 22.4w 531074 F51 C~1vWc 2012 04 12.38510 12 26 42.458 -02 18 16.24 22.3w 531074 F51 C~1vWc 2013 01 10.64252 12 38 46.989 -03 58 03.21 22.0G 531074 F51 C~2rXs 2013 03 19.48899 12 35 14.748 -03 40 38.70 22.4w 531074 F51 C~1vWc 2013 03 19.50435 12 35 14.663 -03 40 38.52 22.5w 531074 F51 C~1vWc 2013 03 19.51978 12 35 14.588 -03 40 37.96 22.4w 531074 F51 C~1vWc 2013 03 19.53522 12 35 14.494 -03 40 37.53 22.4w 531074 F51 C~1vWc 2014 02 26.55439 12 43 23.455 -05 00 16.11 23.6G 531074 F51 C~2rXs 2014 03 06.46193 12 42 48.261 -04 57 13.69 22.6G 531074 F51 C~2rXs 2014 05 25.36864 12 36 38.283 -04 24 11.48 22.7G 531074 F51 C~2rXs 2014 06 16.30520 12 36 02.121 -04 21 49.12 23.4G 531074 F51 C~2rXs 2015 01 23.54591 12 51 23.407 -06 16 41.21 22.8G 531074 F51 C~2rXs 2015 01 25.53823 12 51 21.204 -06 16 39.75 22.8w 531074 F51 C~1vWc 2015 01 25.55354 12 51 21.186 -06 16 39.45 22.8w 531074 F51 C~1vWc 2015 01 25.58416 12 51 21.150 -06 16 39.41 22.8w 531074 F51 C~1vWc 2015 02 15.51937 12 50 33.814 -06 13 48.15 21.7G 531074 F51 C~2rXs 2015 02 15.54527 12 50 33.695 -06 13 47.57 22.9G 531074 F51 C~2rXs 2015 02 15.55816 12 50 33.669 -06 13 47.44 22.6G 531074 F51 C~2rXs 2015 02 16.50441 12 50 30.571 -06 13 33.57 22.8G 531074 F51 C~2rXs 2015 02 16.51712 12 50 30.525 -06 13 33.36 22.9G 531074 F51 C~2rXs 2015 02 16.52979 12 50 30.481 -06 13 33.03 22.8G 531074 F51 C~2rXs 2015 02 16.54248 12 50 30.465 -06 13 33.06 23.5G 531074 F51 C~2rXs 2015 02 27.54433 12 49 49.107 -06 10 17.12 22.5G 531074 F51 C~2rXs 2015 02 27.55688 12 49 49.035 -06 10 17.18 22.4G 531074 F51 C~2rXs 2015 02 27.56942 12 49 48.988 -06 10 16.85 22.8G 531074 F51 C~2rXs 2015 02 27.58195 12 49 48.944 -06 10 16.72 22.6G 531074 F51 C~2rXs 2015 04 13.38794 12 46 03.697 -05 50 29.69 22.4G 531074 F51 C~2rXs 2015 04 13.39877 12 46 03.652 -05 50 29.28 22.7G 531074 F51 C~2rXs 2015 04 13.40960 12 46 03.585 -05 50 29.29 23.3G 531074 F51 C~2rXs 2015 04 13.42056 12 46 03.526 -05 50 28.79 22.9G 531074 F51 C~2rXs 2015 04 15.42675 12 45 53.062 -05 49 31.98 22.5G 531074 F51 C~2rXs 2015 05 24.30046 12 43 07.310 -05 34 39.11 22.7G 531074 F51 C~2rXs 2016 01 15.63954 12 57 52.221 -07 25 03.37 22.5G 531074 F51 C~2rXs 2016 01 16.65128 12 57 52.241 -07 25 10.24 23.1G 531074 F51 C~2rXs 2016 02 03.60828 12 57 34.224 -07 25 21.98 23.4G 531074 F51 C~2rXs 2016 02 09.65395 12 57 20.648 -07 24 38.57 22.4G 531074 F51 C~2rXs 2016 02 10.53167 12 57 18.390 -07 24 30.17 22.8G 531074 F51 C~2rXs 2016 03 13.45151 12 55 14.295 -07 14 58.96 22.5G 531074 F51 C~2rXs 2016 03 13.45215 12 55 14.293 -07 14 59.34 22.3G 531074 F51 C~2rXs 2016 03 13.46719 12 55 14.244 -07 14 58.62 21.4G 531074 F51 C~2rXs 2016 03 13.48227 12 55 14.146 -07 14 58.24 23.0G 531074 F51 C~2rXs 2016 03 31.42087 12 53 41.427 -07 06 57.36 22.9G 531074 F51 C~2rXs 2016 04 01.41076 12 53 36.136 -07 06 29.20 22.6G 531074 F51 C~2rXs 2016 04 01.42416 12 53 36.068 -07 06 29.07 23.0G 531074 F51 C~2rXs 2016 04 01.43759 12 53 35.969 -07 06 28.67 21.3G 531074 F51 C~2rXs 2016 04 01.45108 12 53 35.910 -07 06 28.15 22.8G 531074 F51 C~2rXs 2016 04 02.39979 12 53 30.833 -07 06 01.09 22.3G 531074 F51 C~2rXs 2016 04 02.41146 12 53 30.771 -07 06 00.84 22.6G 531074 F51 C~2rXs 2016 04 10.35602 12 52 48.277 -07 02 13.36 22.3G 531074 F51 C~2rXs 2016 04 10.36895 12 52 48.217 -07 02 12.73 22.4G 531074 F51 C~2rXs 2016 04 10.38209 12 52 48.130 -07 02 13.04 22.3G 531074 F51 C~2rXs 2017 02 22.49724 13 03 10.807 -08 31 18.55 22.8G 531074 F51 C~2rXs 2017 03 17.44492 13 01 30.680 -08 23 33.28 22.6G 531074 F51 C~2rXs 2017 03 27.45980 13 00 39.103 -08 19 12.95 22.8G 531074 F51 C~2rXs 2017 03 27.47224 13 00 39.034 -08 19 12.46 22.3G 531074 F51 C~2rXs 2017 03 27.48467 13 00 38.979 -08 19 12.17 23.3G 531074 F51 C~2rXs 2017 03 27.49706 13 00 38.906 -08 19 11.91 22.5G 531074 F51 C~2rXs 2017 04 20.36176 12 58 31.882 -08 08 00.49 23.9G 531074 F51 C~2rXs 2017 12 25.65873 13 10 14.301 -09 35 07.07 23.6G 531074 F51 C~2rXs 2018 01 03.65743 13 10 34.427 -09 38 23.26 23.9G 531074 F51 C~2rXs 2018 03 17.50931 13 08 08.834 -09 33 20.84 22.3G 531074 F51 C~2rXs 2018 04 12.42253 13 05 52.458 -09 21 53.07 22.4G 531074 F51 C~2rXs 2018 04 12.43542 13 05 52.375 -09 21 52.85 20.3G 531074 F51 C~2rXs 2018 04 12.44830 13 05 52.318 -09 21 52.33 23.1G 531074 F51 C~2rXs 2018 04 12.46119 13 05 52.264 -09 21 52.05 22.5G 531074 F51 C~2rXs 2020 04 19.42767 13 18 33.727 -11 36 53.92 22.5w 531074 F51 C~3siy 2020 04 19.43958 13 18 33.666 -11 36 53.48 22.5w 531074 F51 C~3siy 2020 04 19.45151 13 18 33.611 -11 36 53.00 22.4w 531074 F51 C~3siy
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 0.16 0.00 -0.21 2 0.0000 0.00 -0.07 0.00 -0.03 3 3.8255 0.00 -0.18 0.00 0.07 4 3.8255 0.00 -0.17 0.00 -0.03 5 3.8255 0.00 0.02 0.00 0.05 6 8.3013 0.00 0.07 0.00 -0.09 7 8.3040 0.00 -0.03 0.00 -0.15 8 9.0057 0.00 -0.33 0.00 0.18 9 9.9636 0.00 -0.16 0.00 0.34 10 9.9637 0.00 -0.07 0.00 0.03 11 9.9638 0.00 -0.06 0.00 0.02 12 10.0865 0.00 0.10 0.00 0.23 13 10.0865 0.00 0.14 0.00 0.19 14 10.0865 0.00 0.16 0.00 0.20 15 10.0866 0.00 0.21 0.00 0.19 16 10.8347 0.00 -0.07 0.00 0.15 17 11.0205 0.00 0.20 0.00 0.16 18 11.0205 0.00 0.14 0.00 -0.10 19 11.0206 0.00 0.25 0.00 0.02 20 11.0206 0.00 0.06 0.00 0.01 21 11.9625 0.00 -0.19 0.00 -0.14 22 11.9841 0.00 -0.35 0.00 -0.14 23 12.2029 0.00 -0.02 0.00 0.01 24 12.2630 0.00 -0.07 0.00 0.26 25 12.8687 0.00 0.03 0.00 0.09 26 12.8741 0.00 0.09 0.00 -0.20 27 12.8742 0.00 0.12 0.00 0.08 28 12.8743 0.00 0.19 0.00 0.08 29 12.9316 0.00 0.33 0.00 -0.21 30 12.9316 0.00 -0.16 0.00 -0.00 31 12.9317 0.00 0.09 0.00 -0.06 32 12.9343 0.00 0.11 0.00 -0.11 33 12.9343 0.00 0.07 0.00 -0.09 34 12.9343 0.00 0.06 0.00 0.05 35 12.9344 0.00 0.47 0.00 -0.17 36 12.9645 0.00 0.01 0.00 0.02 37 12.9645 0.00 -0.26 0.00 -0.29 38 12.9646 0.00 -0.17 0.00 -0.22 39 12.9646 0.00 -0.03 0.00 -0.35 40 13.0873 0.00 -0.10 0.00 0.04 41 13.0873 0.00 0.09 0.00 0.14 42 13.0873 0.00 -0.05 0.00 -0.18 43 13.0874 0.00 -0.06 0.00 0.01 44 13.0929 0.00 -0.06 0.00 -0.10 45 13.1993 0.00 -0.13 0.00 -0.05 46 13.8463 0.00 -0.11 0.00 -0.09 47 13.8491 0.00 -0.08 0.00 0.16 48 13.8983 0.00 0.07 0.00 -0.04 49 13.9148 0.00 0.16 0.00 -0.08 50 13.9172 0.00 0.10 0.00 0.13 51 14.0046 0.00 -0.10 0.00 0.18 52 14.0046 0.00 -0.08 0.00 -0.22 53 14.0047 0.00 0.31 0.00 0.13 54 14.0047 0.00 -0.03 0.00 0.14 55 14.0538 0.00 -0.09 0.00 -0.03 56 14.0565 0.00 -0.04 0.00 0.05 57 14.0566 0.00 0.04 0.00 -0.20 58 14.0566 0.00 -0.35 0.00 -0.19 59 14.0566 0.00 -0.13 0.00 -0.05 60 14.0592 0.00 -0.15 0.00 0.01 61 14.0593 0.00 -0.12 0.00 -0.07 62 14.0810 0.00 0.05 0.00 -0.13 63 14.0811 0.00 0.20 0.00 0.13 64 14.0811 0.00 -0.04 0.00 -0.55 65 14.9520 0.00 0.24 0.00 0.15 66 15.0149 0.00 -0.05 0.00 0.04 67 15.0423 0.00 -0.02 0.00 -0.12 68 15.0423 0.00 -0.05 0.00 0.03 69 15.0424 0.00 0.13 0.00 -0.01 70 15.0424 0.00 0.04 0.00 -0.09 71 15.1077 0.00 -0.18 0.00 -0.14 72 15.7903 0.00 -0.31 0.00 0.06 73 15.8149 0.00 0.26 0.00 0.92 74 16.0144 0.00 -0.04 0.00 0.25 75 16.0853 0.00 -0.06 0.00 0.17 76 16.0853 0.00 -0.24 0.00 0.03 77 16.0854 0.00 -0.04 0.00 0.18 78 16.0854 0.00 0.21 0.00 0.10 79 18.1059 0.00 -0.17 0.00 -0.26 80 18.1059 0.00 -0.11 0.00 -0.15 81 18.1059 0.00 0.05 0.00 -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.
531074 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 47.707 47.707 47.707 ecceobj 0.264 0.264 0.264 incobj 13.141 13.141 13.141 qmin 34.535 34.448 34.514 qmax 62.186 62.136 62.021 amean 47.797 47.797 47.797 amin 47.097 47.107 47.121 amax 48.636 48.567 48.591 emean 0.258 0.258 0.258 emin 0.235 0.235 0.236 emax 0.280 0.280 0.278 imean 13.830 13.790 13.835 imin 13.210 13.217 13.202 imax 14.616 14.569 14.603 excite_mean 0.352 0.351 0.352 fracstop 1.000 1.000 1.000 cjmean 2.994 2.994 2.994 libcent 0 179.9 178.8 180.0 libamp 0 158.1 158.6 158.4 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 191.8 191.0 192.9 kozaiamp 180.0 180.0 180.0