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: 531076 # Created Sun Nov 24 02:07:23 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 92 observations of 92 # Arc: 11.96y # First observation: 2011/04/01 # Last observation: 2023/03/18 # Chi-squared of fit: 207.18 DOF: 178 RMS: 0.27 # Min/Max residuals: -0.70 1.72 # Exact a, adot, b, bdot, g, gdot: 1.794176E-05 2.456860E-02 -8.687237E-06 -8.903671E-04 2.474825E-02 -2.508543E-04 # 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 2.539375 -173.455688 -0.080021 0.044271 -0.999012 2455652.913936 # Heliocentric elements and errors Epoch: 2455652.5000 = 2011/04/01 Mean Anomaly: 345.92333 +/- 0.000 Argument of Peri: 145.05340 +/- 0.000 Long of Asc Node: 56.54325 +/- 0.000 Inclination: 3.23857 +/- 0.000 Eccentricity: 0.03139767 +/- 0.0000 Semi-Major Axis: 42.69981384 +/- 0.0000 Time of Perihelion: 2459637.5602 +/- 0.0 Perihelion: 41.35913917 +/- 0.0000 Aphelion: 44.04048850 +/- 0.0000 Period (y) 279.0276 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -41.08441138 +/- 0.0000 Ecliptic Y -4.79507032 +/- 0.0000 Ecliptic Z 1.78993483 +/- 0.0000 Ecliptic XDOT 0.00033135 +/- 0.0000 Ecliptic YDOT -0.00269162 +/- 0.0000 Ecliptic ZDOT -0.00009961 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.40200281 +/- 0.0000 Geocenter to KBO 40.40694451 +/- 0.0000 # Hcoef: 6.78
The following table shows the complete astrometric record for 531076. 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 (531076) followed by the observatory code and reference code for the source of the astrometry.
2011 04 01.41317 12 28 03.049 -00 15 57.25 22.5w 531076 F51 C~1w3p 2012 02 28.53053 12 35 26.794 -01 07 11.48 23.0w 531076 F51 C~1w3p 2012 02 28.54495 12 35 26.741 -01 07 11.09 23.3w 531076 F51 C~1w3p 2012 02 28.55939 12 35 26.682 -01 07 10.46 23.2w 531076 F51 C~1w3p 2012 04 12.34319 12 32 15.610 -00 46 42.65 22.8w 531076 F51 C~1w3p 2012 04 12.35713 12 32 15.546 -00 46 42.25 23.0w 531076 F51 C~1w3p 2012 04 12.37113 12 32 15.482 -00 46 41.77 22.9w 531076 F51 C~1w3p 2012 06 06.24432 12 29 27.007 -00 31 27.10 22.0G 531076 F51 C~345o 2013 01 10.61744 12 42 09.192 -01 55 44.86 23.0G 531076 F51 C~345o 2013 03 19.50355 12 39 09.586 -01 34 11.88 22.2w 531076 F51 C~1w3p 2013 03 19.51900 12 39 09.561 -01 34 11.63 22.0w 531076 F51 C~1w3p 2013 03 19.53443 12 39 09.492 -01 34 11.35 22.2w 531076 F51 C~1w3p 2013 04 11.36790 12 37 26.317 -01 23 23.77 22.6w 531076 F51 C~1w3p 2013 04 11.36856 12 37 26.316 -01 23 23.39 22.7w 531076 F51 C~1w3p 2013 04 11.38224 12 37 26.263 -01 23 22.92 22.4w 531076 F51 C~1w3p 2013 04 17.31363 12 37 00.215 -01 20 45.79 22.5G 531076 F51 C~345o 2014 02 26.51509 12 45 41.784 -02 19 47.91 22.7w 531076 F51 C~1w3p 2014 02 26.52746 12 45 41.733 -02 19 47.32 23.2G 531076 F51 C~345o 2014 02 26.53982 12 45 41.666 -02 19 47.47 22.8G 531076 F51 C~345o 2014 03 06.45996 12 45 11.692 -02 16 25.67 22.7G 531076 F51 C~345o 2014 04 04.43926 12 43 04.726 -02 02 51.29 23.3G 531076 F51 C~345o 2014 04 23.36438 12 41 41.272 -01 54 25.68 22.7G 531076 F51 C~345o 2014 04 29.30705 12 41 17.150 -01 52 05.48 22.1G 531076 F51 C~345o 2014 04 29.31900 12 41 17.113 -01 52 05.49 23.0G 531076 F51 C~345o 2014 04 29.33097 12 41 17.056 -01 52 05.49 22.6G 531076 F51 C~345o 2014 04 29.34296 12 41 17.018 -01 52 04.98 22.7G 531076 F51 C~345o 2015 01 23.54450 12 52 05.706 -03 05 21.50 22.9G 531076 F51 C~345o 2015 01 23.55987 12 52 05.697 -03 05 21.47 23.0G 531076 F51 C~345o 2015 01 23.57525 12 52 05.655 -03 05 21.25 22.7G 531076 F51 C~345o 2015 01 23.59064 12 52 05.658 -03 05 21.26 22.8G 531076 F51 C~345o 2015 01 25.55214 12 52 03.733 -03 05 03.32 22.9G 531076 F51 C~345o 2015 02 15.55948 12 51 22.638 -02 59 48.94 22.8G 531076 F51 C~345o 2015 02 16.50572 12 51 20.012 -02 59 30.21 23.6G 531076 F51 C~345o 2015 02 16.51843 12 51 19.972 -02 59 30.31 23.3G 531076 F51 C~345o 2015 02 16.53111 12 51 19.915 -02 59 29.71 23.2G 531076 F51 C~345o 2015 02 16.54380 12 51 19.884 -02 59 29.53 23.0G 531076 F51 C~345o 2015 02 27.54566 12 50 44.538 -02 55 25.49 22.9G 531076 F51 C~345o 2015 02 27.57073 12 50 44.430 -02 55 24.74 23.2G 531076 F51 C~345o 2015 02 27.58327 12 50 44.410 -02 55 24.79 22.5G 531076 F51 C~345o 2015 03 30.39927 12 48 35.660 -02 41 30.07 22.5G 531076 F51 C~345o 2015 04 13.38925 12 47 32.147 -02 34 59.13 22.3G 531076 F51 C~345o 2015 04 13.40009 12 47 32.102 -02 34 58.63 22.0G 531076 F51 C~345o 2015 04 13.41091 12 47 32.053 -02 34 58.63 22.4G 531076 F51 C~345o 2015 04 13.42187 12 47 31.982 -02 34 57.99 22.2G 531076 F51 C~345o 2016 01 18.61187 12 57 11.019 -03 41 19.80 22.3G 531076 F51 C~345o 2016 01 18.62373 12 57 11.018 -03 41 19.21 22.9G 531076 F51 C~345o 2016 01 18.63561 12 57 11.008 -03 41 19.31 23.2G 531076 F51 C~345o 2016 01 18.64749 12 57 11.007 -03 41 19.42 23.9G 531076 F51 C~345o 2016 03 10.41374 12 55 06.759 -03 26 27.35 22.0G 531076 F51 C~345o 2016 03 10.42601 12 55 06.730 -03 26 26.97 22.6G 531076 F51 C~345o 2016 03 10.43823 12 55 06.680 -03 26 26.44 22.3G 531076 F51 C~345o 2016 03 10.45046 12 55 06.613 -03 26 26.21 23.2G 531076 F51 C~345o 2016 03 13.43443 12 54 54.324 -03 25 06.62 22.9G 531076 F51 C~345o 2016 03 13.44949 12 54 54.240 -03 25 06.25 22.4G 531076 F51 C~345o 2016 03 13.46453 12 54 54.182 -03 25 05.71 22.9G 531076 F51 C~345o 2016 03 13.47960 12 54 54.137 -03 25 05.47 22.8G 531076 F51 C~345o 2016 04 02.38617 12 53 26.086 -03 15 49.32 23.3G 531076 F51 C~345o 2016 04 02.39785 12 53 26.030 -03 15 48.87 23.5G 531076 F51 C~345o 2016 04 02.41235 12 53 25.966 -03 15 48.86 23.2G 531076 F51 C~345o 2016 04 02.42427 12 53 25.892 -03 15 48.52 22.9G 531076 F51 C~345o 2016 04 02.43620 12 53 25.844 -03 15 48.07 23.8G 531076 F51 C~345o 2016 04 02.44818 12 53 25.801 -03 15 47.71 23.2G 531076 F51 C~345o 2016 04 10.35474 12 52 49.768 -03 12 07.06 22.6G 531076 F51 C~345o 2016 04 10.36767 12 52 49.719 -03 12 06.45 23.2G 531076 F51 C~345o 2016 04 10.38080 12 52 49.634 -03 12 06.11 22.5G 531076 F51 C~345o 2016 04 10.39398 12 52 49.590 -03 12 05.80 22.9G 531076 F51 C~345o 2016 04 10.45443 12 52 49.256 -03 12 03.70 23.0G 531076 F51 C~345o 2016 04 10.46748 12 52 49.217 -03 12 03.94 22.4G 531076 F51 C~345o 2016 04 10.48074 12 52 49.134 -03 12 03.39 22.6G 531076 F51 C~345o 2016 04 10.49396 12 52 49.120 -03 12 02.96 22.8G 531076 F51 C~345o 2017 01 30.58026 13 02 03.908 -04 14 59.39 22.9G 531076 F51 C~345o 2017 02 21.53002 13 01 15.170 -04 09 06.00 23.3G 531076 F51 C~345o 2017 02 22.57805 13 01 11.932 -04 08 43.37 23.3G 531076 F51 C~345o 2017 03 27.47288 12 59 02.078 -03 54 42.77 23.5G 531076 F51 C~345o 2017 04 20.36048 12 57 13.978 -03 43 46.85 23.0G 531076 F51 C~345o 2017 04 28.36207 12 56 39.753 -03 40 26.80 21.2G 531076 F51 C~345o 2018 03 18.52402 13 04 50.747 -04 34 47.03 20.6G 531076 F51 C~345o 2018 04 13.41703 13 02 54.451 -04 22 52.73 23.3G 531076 F51 C~345o 2018 04 13.42903 13 02 54.399 -04 22 52.08 23.2G 531076 F51 C~345o 2018 04 13.44101 13 02 54.360 -04 22 51.42 22.5G 531076 F51 C~345o 2018 05 20.148590 13 00 27.43 -04 08 54.7 23.2G 531076 705 C~2rA4 2018 05 20.204720 13 00 27.27 -04 08 54.0 22.6G 531076 705 C~2rA4 2018 05 20.260280 13 00 27.08 -04 08 52.7 22.9G 531076 705 C~2rA4 2021 03 20.377760 13 20 07.958 -06 20 14.04 22.9G 531076 G37 C~4mlw 2021 03 20.424620 13 20 07.763 -06 20 12.86 531076 G37 C~4mlw 2021 03 20.473460 13 20 07.553 -06 20 11.32 531076 G37 C~4mlw 2021 05 12.196460 13 16 15.834 -05 57 41.85 23.1G 531076 G37 C~4q1y 2021 05 12.248320 13 16 15.631 -05 57 40.81 531076 G37 C~4q1y 2021 05 12.295500 13 16 15.456 -05 57 39.85 531076 G37 C~4q1y 2023 03 18.412920 13 30 36.779 -07 31 01.45 23.1G 531076 G37 C~6bpT 2023 03 18.454170 13 30 36.600 -07 31 00.17 531076 G37 C~6bpT 2023 03 18.495490 13 30 36.427 -07 30 59.26 531076 G37 C~6bpT
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 1.72 2 0.9120 0.00 0.24 0.00 -0.09 3 0.9121 0.00 0.29 0.00 -0.07 4 0.9121 0.00 0.25 0.00 0.18 5 1.0320 0.00 0.21 0.00 0.09 6 1.0320 0.00 0.18 0.00 0.12 7 1.0321 0.00 0.16 0.00 0.23 8 1.1823 0.00 -0.25 0.00 1.05 9 1.7802 0.00 -0.40 0.00 -0.39 10 1.9660 0.00 -0.52 0.00 -0.14 11 1.9661 0.00 0.15 0.00 -0.33 12 1.9661 0.00 0.16 0.00 -0.49 13 2.0286 0.00 0.19 0.00 -0.34 14 2.0286 0.00 0.22 0.00 0.03 15 2.0287 0.00 0.36 0.00 0.12 16 2.0449 0.00 -0.23 0.00 -0.03 17 2.9079 0.00 0.15 0.00 -0.04 18 2.9079 0.00 0.07 0.00 0.25 19 2.9079 0.00 -0.26 0.00 -0.20 20 2.9296 0.00 0.03 0.00 -0.22 21 3.0090 0.00 -0.05 0.00 0.22 22 3.0608 0.00 -0.13 0.00 0.76 23 3.0771 0.00 0.02 0.00 0.18 24 3.0771 0.00 0.19 0.00 -0.10 25 3.0771 0.00 0.05 0.00 -0.37 26 3.0772 0.00 0.21 0.00 -0.13 27 3.8142 0.00 0.03 0.00 0.04 28 3.8142 0.00 0.12 0.00 -0.06 29 3.8143 0.00 -0.29 0.00 0.03 30 3.8143 0.00 -0.02 0.00 -0.12 31 3.8197 0.00 0.01 0.00 -0.15 32 3.8772 0.00 -0.40 0.00 0.16 33 3.8798 0.00 0.08 0.00 0.00 34 3.8798 0.00 0.04 0.00 -0.35 35 3.8799 0.00 -0.25 0.00 -0.01 36 3.8799 0.00 -0.16 0.00 -0.08 37 3.9100 0.00 0.16 0.00 -0.20 38 3.9101 0.00 -0.09 0.00 -0.05 39 3.9101 0.00 0.29 0.00 -0.40 40 3.9945 0.00 0.16 0.00 -0.30 41 4.0328 0.00 0.01 0.00 -0.26 42 4.0328 0.00 0.08 0.00 -0.05 43 4.0328 0.00 0.09 0.00 -0.35 44 4.0329 0.00 -0.23 0.00 -0.00 45 4.8000 0.00 -0.05 0.00 -0.38 46 4.8000 0.00 -0.00 0.00 0.15 47 4.8001 0.00 -0.08 0.00 -0.00 48 4.8001 0.00 -0.03 0.00 -0.17 49 4.9418 0.00 -0.11 0.00 -0.05 50 4.9419 0.00 0.21 0.00 0.01 51 4.9419 0.00 0.22 0.00 0.21 52 4.9419 0.00 -0.03 0.00 0.12 53 4.9501 0.00 -0.09 0.00 0.00 54 4.9501 0.00 -0.39 0.00 -0.03 55 4.9502 0.00 -0.29 0.00 0.10 56 4.9502 0.00 -0.01 0.00 -0.06 57 5.0047 0.00 -0.05 0.00 -0.06 58 5.0047 0.00 -0.07 0.00 0.06 59 5.0048 0.00 -0.02 0.00 -0.34 60 5.0048 0.00 -0.30 0.00 -0.33 61 5.0049 0.00 -0.19 0.00 -0.22 62 5.0049 0.00 0.00 0.00 -0.20 63 5.0265 0.00 0.09 0.00 -0.22 64 5.0266 0.00 0.24 0.00 0.03 65 5.0266 0.00 -0.12 0.00 0.01 66 5.0266 0.00 0.13 0.00 -0.04 67 5.0268 0.00 -0.69 0.00 0.40 68 5.0268 0.00 -0.37 0.00 -0.20 69 5.0269 0.00 -0.70 0.00 -0.02 70 5.0269 0.00 0.00 0.00 0.05 71 5.8348 0.00 -0.16 0.00 -0.12 72 5.8949 0.00 0.03 0.00 -0.68 73 5.8978 0.00 -0.03 0.00 -0.09 74 5.9878 0.00 0.05 0.00 0.34 75 6.0532 0.00 -0.22 0.00 0.05 76 6.0752 0.00 -0.12 0.00 0.20 77 6.9627 0.00 -0.08 0.00 0.20 78 7.0335 0.00 0.03 0.00 -0.16 79 7.0336 0.00 0.09 0.00 0.17 80 7.0336 0.00 0.34 0.00 0.50 81 7.1341 0.00 0.09 0.00 -0.05 82 7.1343 0.00 0.39 0.00 -0.27 83 7.1344 0.00 0.21 0.00 0.11 84 9.9684 0.00 -0.11 0.00 0.11 85 9.9685 0.00 -0.02 0.00 0.08 86 9.9687 0.00 -0.04 0.00 0.36 87 10.1130 0.00 0.10 0.00 0.12 88 10.1132 0.00 0.09 0.00 0.08 89 10.1133 0.00 0.22 0.00 0.06 90 11.9617 0.00 0.25 0.00 -0.01 91 11.9618 0.00 0.09 0.00 0.27 92 11.9619 0.00 0.02 0.00 0.18
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.
531076 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.680 42.680 42.680 ecceobj 0.030 0.030 0.030 incobj 3.239 3.239 3.239 qmin 40.548 40.555 40.542 qmax 45.431 45.421 45.441 amean 42.915 42.915 42.915 amin 42.586 42.585 42.587 amax 43.247 43.247 43.246 emean 0.030 0.030 0.030 emin 0.011 0.011 0.010 emax 0.051 0.051 0.051 imean 1.714 1.714 1.714 imin 0.686 0.686 0.686 imax 2.632 2.632 2.632 excite_mean 0.043 0.043 0.043 fracstop 1.000 1.000 1.000 cjmean 3.086 3.086 3.086 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 173.4 173.3 173.4 kozaiamp 180.0 179.9 179.9