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: 10WM75 # Created Fri Nov 22 02:09:10 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 90 observations of 90 # Arc: 10.95y # First observation: 2010/11/17 # Last observation: 2021/10/30 # Chi-squared of fit: 80.25 DOF: 174 RMS: 0.17 # Min/Max residuals: -0.47 0.54 # Exact a, adot, b, bdot, g, gdot: 1.322093E-05 2.146280E-02 -5.584446E-06 -7.432190E-03 2.293494E-02 -2.475399E-03 # Covariance matrix: 1.0944E-13 -3.4145E-14 -1.3419E-14 7.6971E-15 -7.3823E-15 -1.0784E-13 -3.4145E-14 1.9553E-14 9.9476E-15 -5.8519E-15 2.4803E-14 8.0552E-14 -1.3419E-14 9.9476E-15 7.6414E-14 -1.5719E-14 1.3579E-14 4.7808E-14 7.6971E-15 -5.8519E-15 -1.5719E-14 4.7846E-15 -8.4599E-15 -2.8069E-14 -7.3823E-15 2.4803E-14 1.3579E-14 -8.4599E-15 9.6277E-14 1.1192E-13 -1.0784E-13 8.0552E-14 4.7808E-14 -2.8069E-14 1.1192E-13 3.8690E-13 # lat0 lon0 xBary yBary zBary JD0 -12.434023 74.850299 0.332648 -0.200099 -0.907589 2455518.044046 # Heliocentric elements and errors Epoch: 2455518.5000 = 2010/11/18 Mean Anomaly: 322.93335 +/- 0.007 Argument of Peri: 263.92111 +/- 0.010 Long of Asc Node: 223.12412 +/- 0.000 Inclination: 22.56478 +/- 0.000 Eccentricity: 0.16517737 +/- 0.0000 Semi-Major Axis: 50.55945360 +/- 0.0030 Time of Perihelion: 2469038.6893 +/- 10.9 Perihelion: 42.20817612 +/- 0.0033 Aphelion: 58.91073109 +/- 0.0041 Period (y) 359.5106 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 11.69525878 +/- 0.0002 Ecliptic Y 41.90839942 +/- 0.0006 Ecliptic Z -9.38835661 +/- 0.0001 Ecliptic XDOT -0.00259876 +/- 0.0000 Ecliptic YDOT 0.00021297 +/- 0.0000 Ecliptic ZDOT -0.00080278 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.51113630 +/- 0.0005 Geocenter to KBO 43.60171207 +/- 0.0006 # Hcoef: 6.02
The following table shows the complete astrometric record for 10WM75. 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 (10WM75) followed by the observatory code and reference code for the source of the astrometry.
2010 11 17.54328 04 59 52.794 +10 13 05.92 22.5G 10WM75 F51 C~345L 2010 11 27.51494 04 59 07.940 +10 10 29.54 21.6G 10WM75 F51 C~345L 2010 12 05.41898 04 58 30.956 +10 08 44.47 22.5G 10WM75 F51 C~345L 2010 12 05.43384 04 58 30.903 +10 08 44.40 22.1G 10WM75 F51 C~345L 2010 12 05.44846 04 58 30.815 +10 08 43.96 22.2G 10WM75 F51 C~345L 2011 10 23.45583 05 06 35.913 +10 03 28.91 22.3G 10WM75 F51 C~345L 2011 10 23.47070 05 06 35.858 +10 03 28.59 22.3G 10WM75 F51 C~345L 2011 10 23.48563 05 06 35.828 +10 03 28.37 22.5G 10WM75 F51 C~345L 2011 10 23.50052 05 06 35.800 +10 03 28.05 22.8G 10WM75 F51 C~345L 2011 11 20.53447 05 04 50.940 +09 54 34.99 22.2G 10WM75 F51 C~345L 2011 11 20.53589 05 04 50.952 +09 54 34.78 22.4G 10WM75 F51 C~345L 2011 12 06.51803 05 03 37.312 +09 50 51.44 22.6G 10WM75 F51 C~345L 2011 12 06.53298 05 03 37.243 +09 50 50.48 22.0G 10WM75 F51 C~345L 2011 12 16.39280 05 02 50.684 +09 49 12.04 22.4G 10WM75 F51 C~345L 2011 12 16.40629 05 02 50.642 +09 49 12.20 23.4G 10WM75 F51 C~345L 2011 12 16.41940 05 02 50.582 +09 49 11.57 22.2G 10WM75 F51 C~345L 2013 01 08.31935 05 06 17.428 +09 29 32.71 21.9G 10WM75 F51 C~345L 2013 01 08.33330 05 06 17.386 +09 29 32.98 22.0G 10WM75 F51 C~345L 2013 11 29.53068 05 14 32.111 +09 15 30.81 22.4G 10WM75 F51 C~345L 2013 11 29.54479 05 14 32.053 +09 15 30.17 21.7G 10WM75 F51 C~345L 2013 11 29.55889 05 14 31.965 +09 15 30.17 22.5G 10WM75 F51 C~345L 2013 11 29.57308 05 14 31.920 +09 15 30.32 22.0G 10WM75 F51 C~345L 2013 12 11.38416 05 13 36.214 +09 13 15.41 22.2G 10WM75 F51 C~345L 2013 12 11.39770 05 13 36.154 +09 13 15.34 22.3G 10WM75 F51 C~345L 2013 12 11.39836 05 13 36.153 +09 13 15.24 10WM75 F51 C~345L 2013 12 11.41094 05 13 36.133 +09 13 14.92 22.3G 10WM75 F51 C~345L 2013 12 11.42431 05 13 36.056 +09 13 15.08 22.2G 10WM75 F51 C~345L 2013 12 29.40131 05 12 12.352 +09 11 23.31 21.9G 10WM75 F51 C~345L 2013 12 29.41511 05 12 12.249 +09 11 23.37 21.8G 10WM75 F51 C~345L 2013 12 29.42899 05 12 12.204 +09 11 23.03 22.2G 10WM75 F51 C~345L 2013 12 29.44292 05 12 12.139 +09 11 22.73 23.0G 10WM75 F51 C~345L 2014 03 19.27195 05 09 49.607 +09 23 27.86 22.9G 10WM75 F51 C~345L 2014 11 26.39252 05 20 01.083 +08 57 19.14 21.9G 10WM75 F51 C~345L 2014 11 26.40558 05 20 01.022 +08 57 19.23 22.0G 10WM75 F51 C~345L 2014 11 26.41855 05 20 00.951 +08 57 18.97 22.1G 10WM75 F51 C~345L 2014 11 26.43154 05 20 00.911 +08 57 18.85 22.4G 10WM75 F51 C~345L 2015 01 17.24668 05 16 08.565 +08 52 46.34 21.6G 10WM75 F51 C~345L 2015 01 17.25984 05 16 08.528 +08 52 46.45 21.7G 10WM75 F51 C~345L 2015 01 17.27299 05 16 08.472 +08 52 46.35 21.9G 10WM75 F51 C~345L 2015 01 17.28607 05 16 08.440 +08 52 46.43 22.1G 10WM75 F51 C~345L 2015 01 17.35318 05 16 08.169 +08 52 47.16 22.6G 10WM75 F51 C~345L 2015 01 17.36715 05 16 08.118 +08 52 47.19 22.5G 10WM75 F51 C~345L 2015 01 17.38097 05 16 08.056 +08 52 47.10 22.4G 10WM75 F51 C~345L 2015 01 17.39481 05 16 08.010 +08 52 47.08 22.5G 10WM75 F51 C~345M 2015 10 19.50767 05 27 29.581 +08 50 03.95 21.9G 10WM75 F51 C~345M 2015 10 23.55963 05 27 19.873 +08 48 33.38 22.3G 10WM75 F51 C~345M 2015 12 03.45996 05 24 43.835 +08 36 28.23 21.5G 10WM75 F51 C~345M 2015 12 05.40706 05 24 34.721 +08 36 05.57 22.2G 10WM75 F51 C~345M 2015 12 05.41947 05 24 34.661 +08 36 05.36 21.9G 10WM75 F51 C~345M 2015 12 05.43189 05 24 34.592 +08 36 05.26 21.9G 10WM75 F51 C~345M 2015 12 05.44441 05 24 34.535 +08 36 04.98 21.9G 10WM75 F51 C~345M 2016 01 11.40489 05 21 44.863 +08 33 18.06 21.9G 10WM75 F51 C~345M 2016 01 11.41675 05 21 44.812 +08 33 18.24 22.3G 10WM75 F51 C~345M 2016 01 11.42861 05 21 44.764 +08 33 17.91 22.6G 10WM75 F51 C~345M 2016 01 11.44041 05 21 44.721 +08 33 18.34 22.8G 10WM75 F51 C~345M 2016 01 13.38175 05 21 36.925 +08 33 23.71 22.7G 10WM75 F51 C~345M 2016 01 13.39459 05 21 36.871 +08 33 23.42 22.0G 10WM75 F51 C~345M 2016 01 13.40733 05 21 36.826 +08 33 23.61 22.1G 10WM75 F51 C~345M 2016 01 13.42006 05 21 36.766 +08 33 23.49 23.2G 10WM75 F51 C~345M 2016 10 13.59078 05 32 51.706 +08 32 25.12 22.9G 10WM75 F51 C~345M 2016 10 13.60295 05 32 51.683 +08 32 24.75 22.4G 10WM75 F51 C~345M 2016 10 13.61508 05 32 51.679 +08 32 24.28 21.6G 10WM75 F51 C~345M 2016 10 13.62723 05 32 51.638 +08 32 24.07 22.7G 10WM75 F51 C~345M 2016 11 28.53473 05 30 17.848 +08 17 36.75 22.5G 10WM75 F51 C~345M 2016 11 28.54740 05 30 17.785 +08 17 36.25 21.8G 10WM75 F51 C~345M 2016 11 28.57286 05 30 17.669 +08 17 36.37 21.8G 10WM75 F51 C~345M 2017 01 03.35380 05 27 29.863 +08 13 34.58 22.4G 10WM75 F51 C~345M 2017 01 03.36654 05 27 29.810 +08 13 34.72 22.7G 10WM75 F51 C~345M 2017 01 03.37932 05 27 29.755 +08 13 34.40 22.6G 10WM75 F51 C~345M 2017 01 03.39215 05 27 29.693 +08 13 34.48 22.2G 10WM75 F51 C~345M 2017 01 20.42114 05 26 20.730 +08 14 29.54 22.3G 10WM75 F51 C~345M 2017 01 28.28357 05 25 54.522 +08 15 29.06 22.0G 10WM75 F51 C~345M 2017 01 28.29628 05 25 54.471 +08 15 29.46 21.9G 10WM75 F51 C~345M 2017 01 28.30900 05 25 54.444 +08 15 29.56 22.3G 10WM75 F51 C~345M 2017 01 28.32170 05 25 54.396 +08 15 29.54 22.0G 10WM75 F51 C~345M 2017 02 14.31158 05 25 13.776 +08 18 42.35 21.7G 10WM75 F51 C~345M 2017 02 14.33624 05 25 13.704 +08 18 42.50 22.2G 10WM75 F51 C~345M 2017 02 14.34853 05 25 13.696 +08 18 42.80 22.3G 10WM75 F51 C~345M 2017 11 24.50690 05 35 52.117 +07 58 30.85 22.2G 10WM75 F51 C~345M 2017 11 24.52000 05 35 52.068 +07 58 30.35 22.3G 10WM75 F51 C~345M 2017 11 24.53311 05 35 51.997 +07 58 30.19 23.1G 10WM75 F51 C~345M 2017 11 24.54622 05 35 51.925 +07 58 30.05 22.6G 10WM75 F51 C~345M 2018 01 03.48765 05 32 45.160 +07 53 36.80 22.8G 10WM75 F51 C~345M 2018 01 10.32568 05 32 15.357 +07 53 48.31 22.3G 10WM75 F51 C~345M 2018 01 10.33833 05 32 15.303 +07 53 48.18 22.3G 10WM75 F51 C~345M 2018 01 10.35101 05 32 15.238 +07 53 48.27 22.5G 10WM75 F51 C~345M 2018 01 10.36373 05 32 15.209 +07 53 48.15 22.6G 10WM75 F51 C~345M 2021 10 30.565909 05 58 26.453 +06 42 54.72 22.2w 10WM75 F51 C~5BKL 2021 10 30.583073 05 58 26.416 +06 42 54.54 22.1w 10WM75 F51 C~5BKL 2021 10 30.604497 05 58 26.347 +06 42 54.05 22.1w 10WM75 F51 C~5BKL
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 0.32 0.00 0.13 2 0.0273 0.00 -0.02 0.00 0.11 3 0.0489 0.00 -0.16 0.00 0.03 4 0.0490 0.00 0.12 0.00 0.14 5 0.0490 0.00 -0.15 0.00 -0.13 6 0.9306 0.00 -0.02 0.00 -0.02 7 0.9307 0.00 -0.19 0.00 -0.03 8 0.9307 0.00 0.02 0.00 0.07 9 0.9308 0.00 0.26 0.00 0.06 10 1.0075 0.00 -0.12 0.00 0.34 11 1.0075 0.00 0.16 0.00 0.15 12 1.0513 0.00 -0.07 0.00 0.31 13 1.0513 0.00 -0.03 0.00 -0.47 14 1.0783 0.00 -0.34 0.00 0.20 15 1.0783 0.00 -0.00 0.00 0.47 16 1.0784 0.00 0.04 0.00 -0.04 17 2.1431 0.00 -0.08 0.00 -0.23 18 2.1432 0.00 0.14 0.00 0.03 19 3.0335 0.00 -0.00 0.00 0.03 20 3.0335 0.00 0.12 0.00 -0.42 21 3.0336 0.00 -0.20 0.00 -0.23 22 3.0336 0.00 0.12 0.00 0.11 23 3.0660 0.00 -0.19 0.00 -0.17 24 3.0660 0.00 -0.11 0.00 -0.11 25 3.0660 0.00 -0.07 0.00 -0.20 26 3.0660 0.00 0.54 0.00 -0.41 27 3.0661 0.00 0.35 0.00 -0.12 28 3.1153 0.00 0.43 0.00 0.34 29 3.1153 0.00 -0.17 0.00 0.45 30 3.1154 0.00 0.10 0.00 0.15 31 3.1154 0.00 0.07 0.00 -0.11 32 3.3340 0.00 -0.18 0.00 0.13 33 4.0242 0.00 -0.17 0.00 -0.20 34 4.0243 0.00 -0.18 0.00 0.08 35 4.0243 0.00 -0.35 0.00 0.00 36 4.0243 0.00 -0.05 0.00 0.07 37 4.1662 0.00 -0.08 0.00 -0.19 38 4.1662 0.00 0.10 0.00 -0.13 39 4.1663 0.00 -0.01 0.00 -0.29 40 4.1663 0.00 0.25 0.00 -0.26 41 4.1665 0.00 -0.06 0.00 0.19 42 4.1665 0.00 -0.04 0.00 0.16 43 4.1666 0.00 -0.20 0.00 0.02 44 4.1666 0.00 -0.12 0.00 -0.06 45 4.9198 0.00 -0.21 0.00 0.00 46 4.9309 0.00 -0.02 0.00 0.04 47 5.0429 0.00 -0.18 0.00 0.04 48 5.0482 0.00 0.07 0.00 0.04 49 5.0483 0.00 0.06 0.00 -0.03 50 5.0483 0.00 -0.08 0.00 0.01 51 5.0483 0.00 -0.03 0.00 -0.13 52 5.1495 0.00 0.05 0.00 -0.10 53 5.1496 0.00 0.02 0.00 0.05 54 5.1496 0.00 0.04 0.00 -0.30 55 5.1496 0.00 0.12 0.00 0.10 56 5.1549 0.00 0.01 0.00 0.14 57 5.1550 0.00 -0.02 0.00 -0.18 58 5.1550 0.00 0.07 0.00 -0.03 59 5.1550 0.00 -0.06 0.00 -0.19 60 5.9057 0.00 -0.04 0.00 0.20 61 5.9057 0.00 -0.06 0.00 0.11 62 5.9057 0.00 0.20 0.00 -0.07 63 5.9058 0.00 -0.09 0.00 0.00 64 6.0315 0.00 0.06 0.00 0.10 65 6.0315 0.00 -0.00 0.00 -0.23 66 6.0316 0.00 0.03 0.00 0.23 67 6.1295 0.00 -0.05 0.00 -0.00 68 6.1296 0.00 0.02 0.00 0.13 69 6.1296 0.00 0.06 0.00 -0.19 70 6.1296 0.00 -0.01 0.00 -0.11 71 6.1763 0.00 -0.01 0.00 -0.02 72 6.1978 0.00 0.02 0.00 -0.23 73 6.1978 0.00 -0.15 0.00 0.06 74 6.1979 0.00 0.05 0.00 0.04 75 6.1979 0.00 -0.07 0.00 -0.09 76 6.2444 0.00 0.34 0.00 0.14 77 6.2445 0.00 -0.09 0.00 -0.04 78 6.2445 0.00 0.11 0.00 0.09 79 7.0197 0.00 0.03 0.00 0.21 80 7.0198 0.00 0.17 0.00 -0.09 81 7.0198 0.00 -0.02 0.00 -0.06 82 7.0199 0.00 -0.22 0.00 -0.01 83 7.1292 0.00 -0.15 0.00 0.11 84 7.1479 0.00 -0.02 0.00 0.11 85 7.1480 0.00 -0.02 0.00 -0.06 86 7.1480 0.00 -0.18 0.00 -0.01 87 7.1480 0.00 0.21 0.00 -0.17 88 10.9515 0.00 0.04 0.00 0.04 89 10.9515 0.00 0.18 0.00 0.25 90 10.9516 0.00 0.00 0.00 0.24
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.
10WM75 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 50.845 50.845 50.845 ecceobj 0.168 0.168 0.168 incobj 22.524 22.524 22.524 qmin 41.480 41.485 41.474 qmax 59.936 59.934 59.895 amean 50.501 50.501 50.501 amin 50.069 50.044 50.076 amax 51.001 50.992 50.976 emean 0.162 0.162 0.162 emin 0.150 0.150 0.150 emax 0.175 0.176 0.175 imean 23.460 23.460 23.460 imin 23.241 23.240 23.241 imax 23.753 23.753 23.753 excite_mean 0.430 0.430 0.430 fracstop 1.000 1.000 1.000 cjmean 2.941 2.941 2.941 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 176.8 176.8 176.8 kozaiamp 180.0 180.0 180.0