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: 14ND81 # Created Fri Nov 22 02:09:56 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 99 observations of 99 # Arc: 9.18y # First observation: 2014/07/02 # Last observation: 2023/09/06 # Chi-squared of fit: 117.15 DOF: 192 RMS: 0.19 # Min/Max residuals: -0.68 0.75 # Exact a, adot, b, bdot, g, gdot: 1.710261E-05 2.768296E-02 4.226240E-06 9.574037E-03 2.727451E-02 2.522027E-03 # Covariance matrix: 7.9513E-14 -1.8802E-14 6.6260E-15 -4.4934E-15 3.2638E-14 -5.9106E-14 -1.8802E-14 1.5291E-14 -5.4631E-15 4.7324E-15 9.6712E-15 6.3202E-14 6.6260E-15 -5.4631E-15 4.5611E-14 -1.0588E-14 -9.6878E-16 -2.7744E-14 -4.4934E-15 4.7324E-15 -1.0588E-14 4.3314E-15 2.6338E-15 2.3678E-14 3.2638E-14 9.6712E-15 -9.6878E-16 2.6338E-15 6.5609E-14 3.6480E-14 -5.9106E-14 6.3202E-14 -2.7744E-14 2.3678E-14 3.6480E-14 3.1597E-13 # lat0 lon0 xBary yBary zBary JD0 -16.096397 -35.829817 0.703731 -0.204168 -0.707735 2456841.043351 # Heliocentric elements and errors Epoch: 2456840.5000 = 2014/07/02 Mean Anomaly: 31.88859 +/- 0.008 Argument of Peri: 278.66174 +/- 0.011 Long of Asc Node: 1.74860 +/- 0.000 Inclination: 24.32438 +/- 0.000 Eccentricity: 0.11794804 +/- 0.0000 Semi-Major Axis: 41.32777758 +/- 0.0017 Time of Perihelion: 2448244.5423 +/- 2.3 Perihelion: 36.45324703 +/- 0.0019 Aphelion: 46.20230813 +/- 0.0022 Period (y) 265.6876 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.74419546 +/- 0.0003 Ecliptic Y -21.62068331 +/- 0.0002 Ecliptic Z -10.16511871 +/- 0.0001 Ecliptic XDOT 0.00203481 +/- 0.0000 Ecliptic YDOT 0.00195073 +/- 0.0000 Ecliptic ZDOT 0.00085331 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.37658538 +/- 0.0002 Geocenter to KBO 36.66424086 +/- 0.0003 # Hcoef: 6.75
The following table shows the complete astrometric record for 14ND81. 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 (14ND81) followed by the observatory code and reference code for the source of the astrometry.
2014 07 02.542573 22 09 56.859 -28 33 40.49 22.5G 14ND81 F51 C~436D 2014 07 02.552480 22 09 56.875 -28 33 40.58 22.4G 14ND81 F51 C~436D 2014 07 02.562374 22 09 56.816 -28 33 41.31 21.9G 14ND81 F51 C~436D 2014 07 02.572277 22 09 56.760 -28 33 41.71 21.8G 14ND81 F51 C~436D 2014 07 04.534334 22 09 49.962 -28 34 44.23 21.8G 14ND81 F51 C~436D 2014 07 04.544176 22 09 49.905 -28 34 43.92 22.8G 14ND81 F51 C~436D 2014 07 04.554044 22 09 49.883 -28 34 44.22 22.1G 14ND81 F51 C~436D 2014 07 04.563887 22 09 49.845 -28 34 44.74 22.6G 14ND81 F51 C~436D 2014 09 02.399853 22 04 36.389 -29 01 36.95 22.4G 14ND81 F51 C~436D 2014 09 02.410417 22 04 36.316 -29 01 37.03 22.2G 14ND81 F51 C~436D 2014 09 02.420963 22 04 36.257 -29 01 37.35 22.4G 14ND81 F51 C~436D 2014 09 02.431530 22 04 36.199 -29 01 37.50 22.7G 14ND81 F51 C~436D 2014 09 16.361729 22 03 18.806 -29 04 06.67 22.2G 14ND81 F51 C~436D 2014 09 16.371615 22 03 18.731 -29 04 06.05 22.5G 14ND81 F51 C~436D 2014 09 16.391377 22 03 18.676 -29 04 06.58 22.7G 14ND81 F51 C~436D 2014 09 20.385092 22 02 58.064 -29 04 25.27 23.3G 14ND81 F51 C~436D 2014 09 20.396321 22 02 57.998 -29 04 25.36 22.2G 14ND81 F51 C~436D 2014 09 20.407505 22 02 57.938 -29 04 25.49 22.6G 14ND81 F51 C~436D 2014 09 20.419182 22 02 57.895 -29 04 25.66 22.5G 14ND81 F51 C~436D 2015 08 07.527091 22 12 57.397 -27 46 14.39 22.0G 14ND81 F51 C~436D 2015 08 07.537654 22 12 57.305 -27 46 14.67 21.8G 14ND81 F51 C~436D 2015 08 07.548267 22 12 57.287 -27 46 14.66 22.8G 14ND81 F51 C~436D 2016 07 04.577448 22 21 06.421 -26 22 51.87 22.2G 14ND81 F51 C~436D 2016 07 04.585937 22 21 06.393 -26 22 51.73 22.0G 14ND81 F51 C~436D 2016 07 04.594320 22 21 06.369 -26 22 51.82 22.1G 14ND81 F51 C~436D 2016 07 04.602694 22 21 06.349 -26 22 52.55 22.1G 14ND81 F51 C~436D 2016 08 06.491864 22 18 38.943 -26 39 39.25 22.3G 14ND81 F51 C~436D 2016 08 06.501586 22 18 38.869 -26 39 39.48 22.5G 14ND81 F51 C~436D 2016 08 06.511247 22 18 38.836 -26 39 39.56 22.3G 14ND81 F51 C~436D 2016 08 06.520893 22 18 38.776 -26 39 40.00 22.8G 14ND81 F51 C~436D 2016 08 09.460570 22 18 22.709 -26 41 02.88 22.3G 14ND81 F51 C~436D 2016 08 09.471785 22 18 22.642 -26 41 03.19 22.2G 14ND81 F51 C~436D 2016 08 09.482991 22 18 22.580 -26 41 03.43 22.3G 14ND81 F51 C~436D 2016 08 09.494190 22 18 22.512 -26 41 03.54 22.2G 14ND81 F51 C~436D 2016 08 30.410689 22 16 23.274 -26 49 23.86 22.4G 14ND81 F51 C~436D 2016 08 30.420340 22 16 23.220 -26 49 24.12 22.3G 14ND81 F51 C~436D 2016 08 30.429999 22 16 23.160 -26 49 24.31 22.3G 14ND81 F51 C~436D 2016 08 30.439652 22 16 23.099 -26 49 24.45 21.8G 14ND81 F51 C~436D 2016 09 07.383780 22 15 38.016 -26 51 39.58 22.7G 14ND81 F51 C~436D 2016 09 07.394120 22 15 37.954 -26 51 39.67 22.4G 14ND81 F51 C~436D 2016 09 07.404445 22 15 37.892 -26 51 39.75 22.5G 14ND81 F51 C~436D 2016 09 07.414769 22 15 37.833 -26 51 40.07 22.4G 14ND81 F51 C~436D 2016 10 06.315582 22 13 15.619 -26 54 15.83 22.0G 14ND81 F51 C~436D 2016 10 06.325241 22 13 15.546 -26 54 15.84 22.0G 14ND81 F51 C~436D 2016 10 06.334909 22 13 15.544 -26 54 15.72 22.9G 14ND81 F51 C~436D 2016 10 06.344553 22 13 15.514 -26 54 15.58 22.7G 14ND81 F51 C~436D 2017 06 24.551278 22 27 00.791 -25 11 11.95 22.8G 14ND81 F51 C~436D 2017 06 24.561591 22 27 00.785 -25 11 12.33 22.2G 14ND81 F51 C~436D 2017 08 14.428641 22 23 29.391 -25 36 14.26 22.7G 14ND81 F51 C~436D 2017 08 14.438832 22 23 29.370 -25 36 14.73 22.6G 14ND81 F51 C~436D 2017 08 14.449008 22 23 29.285 -25 36 14.94 22.9G 14ND81 F51 C~436D 2017 08 14.459160 22 23 29.219 -25 36 14.99 22.4G 14ND81 F51 C~436D 2017 09 15.369006 22 20 30.476 -25 46 55.14 22.3G 14ND81 F51 C~436D 2017 09 15.378028 22 20 30.409 -25 46 55.30 23.1G 14ND81 F51 C~436D 2017 09 15.387038 22 20 30.367 -25 46 55.18 22.6G 14ND81 F51 C~436D 2017 09 15.396047 22 20 30.323 -25 46 55.42 22.8G 14ND81 F51 C~436D 2018 08 07.453585 22 29 33.689 -24 25 24.00 22.5G 14ND81 F51 C~436D 2018 08 07.464951 22 29 33.636 -24 25 24.13 22.3G 14ND81 F51 C~436D 2018 08 07.476306 22 29 33.580 -24 25 24.55 22.3G 14ND81 F51 C~436D 2018 08 07.487678 22 29 33.503 -24 25 24.75 22.5G 14ND81 F51 C~436D 2018 08 13.484729 22 29 01.678 -24 28 15.54 21.9G 14ND81 F51 C~436D 2018 08 13.495735 22 29 01.607 -24 28 15.92 21.8G 14ND81 F51 C~436D 2018 08 13.506724 22 29 01.556 -24 28 16.21 21.8G 14ND81 F51 C~436D 2018 08 13.517680 22 29 01.454 -24 28 17.08 19.7G 14ND81 F51 C~436D 2019 07 06.563184 22 37 04.016 -23 01 43.30 22.0G 14ND81 F51 C~436D 2019 07 06.574814 22 37 03.983 -23 01 43.58 22.5G 14ND81 F51 C~436D 2019 07 06.586440 22 37 03.950 -23 01 43.98 22.3G 14ND81 F51 C~436D 2019 07 06.598061 22 37 03.904 -23 01 44.40 22.4G 14ND81 F51 C~436D 2019 07 25.512962 22 35 54.527 -23 10 57.49 22.2G 14ND81 F51 C~436D 2019 07 25.534697 22 35 54.419 -23 10 58.21 22.3G 14ND81 F51 C~436D 2019 07 25.545567 22 35 54.384 -23 10 58.81 22.4G 14ND81 F51 C~436D 2019 08 05.477339 22 35 03.128 -23 16 25.72 22.4G 14ND81 F51 C~436D 2019 08 05.520385 22 35 02.911 -23 16 27.20 22.5G 14ND81 F51 C~436D 2019 08 05.530658 22 35 02.842 -23 16 27.59 22.5G 14ND81 F51 C~436D 2019 08 05.540928 22 35 02.815 -23 16 27.84 22.8G 14ND81 F51 C~436D 2019 09 22.331967 22 30 45.417 -23 34 01.68 22.2G 14ND81 F51 C~436D 2019 09 22.342336 22 30 45.334 -23 34 02.34 21.6G 14ND81 F51 C~436D 2019 09 22.352590 22 30 45.303 -23 34 02.41 21.8G 14ND81 F51 C~436D 2019 09 22.362852 22 30 45.305 -23 34 02.85 21.8G 14ND81 F51 C~436D 2019 09 26.338754 22 30 25.544 -23 34 39.59 22.2G 14ND81 F51 C~436D 2019 09 26.350325 22 30 25.474 -23 34 39.99 22.6G 14ND81 F51 C~436D 2019 09 26.361897 22 30 25.416 -23 34 39.99 21.7G 14ND81 F51 C~436D 2019 09 26.373466 22 30 25.389 -23 34 39.96 22.2G 14ND81 F51 C~436D 2019 10 24.256554 22 28 36.470 -23 34 05.20 23.0G 14ND81 F51 C~436D 2019 10 24.267827 22 28 36.436 -23 34 04.48 23.0G 14ND81 F51 C~436D 2019 10 24.269219 22 28 36.454 -23 34 04.81 21.6G 14ND81 F51 C~436D 2019 10 24.280476 22 28 36.442 -23 34 04.75 23.2G 14ND81 F51 C~436D 2019 10 24.281866 22 28 36.402 -23 34 04.20 22.6G 14ND81 F51 C~436D 2019 10 24.293171 22 28 36.364 -23 34 04.61 23.0G 14ND81 F51 C~436D 2019 10 24.294564 22 28 36.365 -23 34 04.35 22.3G 14ND81 F51 C~436D 2020 08 23.43537 22 38 37.228 -22 16 55.29 22.2w 14ND81 F51 C~4430 2020 08 23.44955 22 38 37.140 -22 16 55.60 22.3w 14ND81 F51 C~4430 2020 08 23.47863 22 38 36.992 -22 16 56.34 22.5w 14ND81 F51 C~4430 2023 08 20.391057 22 54 00.763 -18 49 28.99 22.2w 14ND81 F52 C~77qj 2023 08 20.401227 22 54 00.716 -18 49 29.46 22.3w 14ND81 F52 C~77qj 2023 08 20.421580 22 54 00.603 -18 49 29.86 22.3w 14ND81 F52 C~77qj 2023 09 06.280760 22 52 31.369 -18 56 42.74 22.3G 14ND81 G37 C~7B2A 2023 09 06.317440 22 52 31.166 -18 56 43.61 14ND81 G37 C~7B2A 2023 09 06.353930 22 52 30.961 -18 56 44.43 14ND81 G37 C~7B2A
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 -0.34 0.00 0.17 2 0.0000 0.00 0.42 0.00 0.40 3 0.0001 0.00 0.05 0.00 -0.02 4 0.0001 0.00 -0.27 0.00 -0.11 5 0.0055 0.00 0.13 0.00 -0.68 6 0.0055 0.00 -0.18 0.00 -0.06 7 0.0055 0.00 0.03 0.00 -0.05 8 0.0055 0.00 0.01 0.00 -0.25 9 0.1694 0.00 0.09 0.00 0.02 10 0.1694 0.00 -0.08 0.00 0.10 11 0.1694 0.00 -0.03 0.00 -0.06 12 0.1694 0.00 0.04 0.00 -0.05 13 0.2076 0.00 -0.09 0.00 -0.24 14 0.2076 0.00 -0.42 0.00 0.44 15 0.2077 0.00 0.35 0.00 0.03 16 0.2186 0.00 0.09 0.00 0.15 17 0.2186 0.00 -0.03 0.00 0.10 18 0.2187 0.00 -0.07 0.00 0.00 19 0.2187 0.00 0.19 0.00 -0.13 20 1.0978 0.00 0.19 0.00 -0.14 21 1.0979 0.00 -0.30 0.00 -0.12 22 1.0979 0.00 0.33 0.00 0.19 23 2.0069 0.00 0.06 0.00 -0.28 24 2.0070 0.00 0.07 0.00 0.12 25 2.0070 0.00 0.14 0.00 0.28 26 2.0070 0.00 0.26 0.00 -0.19 27 2.0971 0.00 0.18 0.00 -0.16 28 2.0971 0.00 -0.12 0.00 -0.11 29 2.0971 0.00 0.18 0.00 0.09 30 2.0971 0.00 0.08 0.00 -0.08 31 2.1052 0.00 0.05 0.00 0.09 32 2.1052 0.00 -0.01 0.00 0.09 33 2.1052 0.00 0.00 0.00 0.16 34 2.1053 0.00 -0.07 0.00 0.36 35 2.1625 0.00 -0.00 0.00 -0.02 36 2.1626 0.00 0.03 0.00 -0.09 37 2.1626 0.00 -0.02 0.00 -0.10 38 2.1626 0.00 -0.09 0.00 -0.05 39 2.1844 0.00 0.07 0.00 0.03 40 2.1844 0.00 0.03 0.00 0.09 41 2.1844 0.00 -0.02 0.00 0.16 42 2.1845 0.00 -0.03 0.00 -0.01 43 2.2636 0.00 0.03 0.00 0.01 44 2.2636 0.00 -0.47 0.00 -0.04 45 2.2636 0.00 0.09 0.00 0.03 46 2.2637 0.00 0.23 0.00 0.13 47 2.9788 0.00 -0.08 0.00 0.07 48 2.9788 0.00 0.17 0.00 -0.03 49 3.1181 0.00 -0.24 0.00 0.10 50 3.1181 0.00 0.31 0.00 -0.10 51 3.1182 0.00 -0.10 0.00 -0.03 52 3.1182 0.00 -0.23 0.00 0.19 53 3.2055 0.00 0.13 0.00 0.01 54 3.2056 0.00 -0.15 0.00 -0.04 55 3.2056 0.00 -0.04 0.00 0.18 56 3.2056 0.00 0.03 0.00 0.04 57 4.0983 0.00 -0.05 0.00 0.03 58 4.0984 0.00 0.06 0.00 0.23 59 4.0984 0.00 0.12 0.00 0.14 60 4.0984 0.00 -0.13 0.00 0.28 61 4.1148 0.00 0.08 0.00 0.13 62 4.1149 0.00 -0.08 0.00 0.05 63 4.1149 0.00 0.07 0.00 0.07 64 4.1149 0.00 -0.56 0.00 -0.50 65 5.0103 0.00 -0.01 0.00 0.04 66 5.0104 0.00 0.01 0.00 0.08 67 5.0104 0.00 0.04 0.00 0.00 68 5.0104 0.00 -0.12 0.00 -0.10 69 5.0622 0.00 0.07 0.00 0.05 70 5.0623 0.00 -0.10 0.00 -0.01 71 5.0623 0.00 0.11 0.00 -0.28 72 5.0922 0.00 -0.04 0.00 0.27 73 5.0923 0.00 -0.01 0.00 0.06 74 5.0924 0.00 -0.26 0.00 -0.03 75 5.0924 0.00 0.11 0.00 0.02 76 5.2232 0.00 0.04 0.00 0.24 77 5.2233 0.00 -0.40 0.00 -0.30 78 5.2233 0.00 -0.07 0.00 -0.26 79 5.2233 0.00 0.75 0.00 -0.59 80 5.2342 0.00 -0.09 0.00 0.14 81 5.2342 0.00 -0.28 0.00 -0.16 82 5.2343 0.00 -0.28 0.00 -0.07 83 5.2343 0.00 0.17 0.00 0.06 84 5.3106 0.00 -0.06 0.00 -0.48 85 5.3107 0.00 -0.08 0.00 0.11 86 5.3107 0.00 0.25 0.00 -0.23 87 5.3107 0.00 0.55 0.00 -0.29 88 5.3107 0.00 0.01 0.00 0.24 89 5.3107 0.00 -0.07 0.00 -0.29 90 5.3108 0.00 0.00 0.00 -0.05 91 6.1434 0.00 0.01 0.00 0.16 92 6.1435 0.00 -0.13 0.00 0.22 93 6.1436 0.00 0.08 0.00 0.22 94 9.1331 0.00 -0.06 0.00 0.09 95 9.1331 0.00 0.03 0.00 -0.09 96 9.1331 0.00 -0.07 0.00 0.07 97 9.1793 0.00 0.07 0.00 0.02 98 9.1794 0.00 0.02 0.00 0.01 99 9.1795 0.00 -0.07 0.00 0.03
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.
14ND81 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.466 41.466 41.466 ecceobj 0.120 0.120 0.120 incobj 24.275 24.275 24.275 qmin 36.057 36.055 36.060 qmax 47.341 47.332 47.338 amean 41.541 41.541 41.541 amin 41.202 41.208 41.198 amax 41.903 41.906 41.903 emean 0.114 0.114 0.114 emin 0.099 0.099 0.099 emax 0.130 0.130 0.130 imean 24.589 24.589 24.589 imin 24.129 24.130 24.125 imax 25.070 25.070 25.069 excite_mean 0.431 0.431 0.431 fracstop 1.000 1.000 1.000 cjmean 2.847 2.847 2.847 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 176.2 176.2 176.2 kozaiamp 179.9 180.0 180.0