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: 13VF24 # Created Fri Nov 22 02:09:49 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 86 observations of 86 # Arc: 20.39y # First observation: 2000/09/27 # Last observation: 2021/02/15 # Chi-squared of fit: 59.66 DOF: 166 RMS: 0.15 # Min/Max residuals: -0.35 0.60 # Exact a, adot, b, bdot, g, gdot: 2.219093E-05 5.005426E-02 -1.556380E-07 -1.684875E-04 3.720058E-02 -6.803819E-03 # Covariance matrix: 4.9159E-13 1.2073E-10 1.1880E-16 4.4746E-12 -6.1622E-12 1.3105E-10 1.2073E-10 7.5559E-06 7.4245E-12 2.7999E-07 -3.8745E-07 8.1995E-06 1.1880E-16 7.4245E-12 4.8967E-13 2.4060E-13 -3.7390E-13 8.0562E-12 4.4746E-12 2.7999E-07 2.4060E-13 1.0379E-08 -1.4376E-08 3.0384E-07 -6.1622E-12 -3.8745E-07 -3.7390E-13 -1.4376E-08 2.1417E-08 -4.2060E-07 1.3105E-10 8.1995E-06 8.0562E-12 3.0384E-07 -4.2060E-07 8.8979E-06 # lat0 lon0 xBary yBary zBary JD0 -20.527340 23.375938 0.324201 -0.330576 -0.882378 2451814.941168 # Heliocentric elements and errors Epoch: 2451814.5000 = 2000/09/27 Mean Anomaly: 343.19619 +/- 0.111 Argument of Peri: 303.60775 +/- 0.019 Long of Asc Node: 113.73808 +/- 0.003 Inclination: 19.84259 +/- 0.001 Eccentricity: 0.33383835 +/- 0.0006 Semi-Major Axis: 39.84563184 +/- 0.0005 Time of Perihelion: 2456102.6962 +/- 28.3 Perihelion: 26.54363189 +/- 0.0222 Aphelion: 53.14763180 +/- 0.0222 Period (y) 251.5239 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 24.10689109 +/- 0.0002 Ecliptic Y 10.06959050 +/- 0.0001 Ecliptic Z -9.42604354 +/- 0.0001 Ecliptic XDOT -0.00190354 +/- 0.0000 Ecliptic YDOT 0.00319872 +/- 0.0000 Ecliptic ZDOT 0.00016413 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 27.77397798 +/- 0.0002 Geocenter to KBO 26.88140554 +/- 0.0003 # Hcoef: 8.14
The following table shows the complete astrometric record for 13VF24. 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 (13VF24) followed by the observatory code and reference code for the source of the astrometry.
2000 09 27.440425 01 56 47.46 -10 00 56.3 22.7V 13VF24 645 C~2hhx 2000 09 27.441254 01 56 47.47 -10 00 56.3 22.4V 13VF24 645 C~2hhx 2000 09 27.443742 01 56 47.46 -10 00 56.4 23.2V 13VF24 645 C~2hhx 2010 11 07.38858 03 44 41.953 +01 21 03.92 22.1G 13VF24 F51 C~2rXy 2010 11 16.50211 03 43 37.264 +01 17 32.74 22.6G 13VF24 F51 C~2rXy 2010 11 16.51343 03 43 37.188 +01 17 32.46 22.7G 13VF24 F51 C~2rXy 2010 11 30.40364 03 41 57.585 +01 14 09.57 22.2G 13VF24 F51 C~2rXy 2011 11 25.44413 03 54 08.646 +02 29 56.33 22.2w 13VF24 F51 C~1vX5 2011 11 25.46184 03 54 08.518 +02 29 56.30 22.5w 13VF24 F51 C~1vX5 2011 11 25.47649 03 54 08.400 +02 29 56.04 22.2w 13VF24 F51 C~1vX5 2011 11 25.49104 03 54 08.297 +02 29 55.77 22.2w 13VF24 F51 C~1vX5 2012 10 20.53972 04 09 39.412 +03 58 18.92 22.5G 13VF24 F51 C~2rXy 2012 11 12.49088 04 07 13.293 +03 47 57.43 22.2w 13VF24 F51 C~1vX5 2012 11 12.50383 04 07 13.240 +03 47 57.58 22.1w 13VF24 F51 C~1vX5 2012 11 12.51677 04 07 13.132 +03 47 56.96 22.4w 13VF24 F51 C~1vX5 2012 11 12.52972 04 07 13.038 +03 47 56.54 22.0w 13VF24 F51 C~1vX5 2013 01 25.27543 04 00 03.819 +03 55 38.74 22.9G 13VF24 F51 C~2rXy 2013 11 06.41581 04 19 34.640 +05 03 52.64 22.3w 13VF24 F51 C~1vX5 2013 11 06.42955 04 19 34.546 +05 03 52.57 21.9w 13VF24 F51 C~1vX5 2013 11 06.44327 04 19 34.485 +05 03 52.04 22.1w 13VF24 F51 C~1vX5 2013 11 28.40523 04 16 58.409 +04 57 24.13 22.2w 13VF24 F51 C~1vX5 2013 11 28.41824 04 16 58.312 +04 57 23.92 22.4w 13VF24 F51 C~1vX5 2013 11 28.43126 04 16 58.224 +04 57 23.79 22.3w 13VF24 F51 C~1vX5 2013 11 28.44429 04 16 58.125 +04 57 23.72 22.4w 13VF24 F51 C~1vX5 2013 12 10.29988 04 15 31.965 +04 56 05.53 22.1G 13VF24 F51 C~2rXy 2014 01 21.24347 04 11 40.032 +05 05 56.01 22.5w 13VF24 F51 C~1vX5 2014 01 21.25634 04 11 39.981 +05 05 56.44 22.6w 13VF24 F51 C~1vX5 2014 01 21.26930 04 11 39.932 +05 05 56.94 22.3w 13VF24 F51 C~1vX5 2014 01 21.28236 04 11 39.896 +05 05 57.23 22.0w 13VF24 F51 C~1vX5 2014 09 18.62131 04 34 22.148 +06 38 47.51 22.6G 13VF24 F51 C~2rXy 2014 10 02.55033 04 33 59.504 +06 32 06.17 22.4w 13VF24 F51 C~1vX5 2014 10 02.56504 04 33 59.473 +06 32 05.83 22.1w 13VF24 F51 C~1vX5 2014 10 02.57983 04 33 59.440 +06 32 05.78 22.4w 13VF24 F51 C~1vX5 2014 11 23.48409 04 29 16.018 +06 11 11.00 22.3G 13VF24 F51 C~2rXy 2015 01 09.27222 04 24 01.173 +06 13 01.70 22.4w 13VF24 F51 C~1vX5 2015 01 09.28532 04 24 01.096 +06 13 01.99 22.5w 13VF24 F51 C~1vX5 2015 01 09.29844 04 24 01.019 +06 13 02.21 22.4w 13VF24 F51 C~1vX5 2015 01 15.22404 04 23 32.760 +06 15 09.45 22.3G 13VF24 F51 C~2rXy 2015 01 15.23558 04 23 32.716 +06 15 09.67 22.2G 13VF24 F51 C~2rXy 2015 01 15.24707 04 23 32.665 +06 15 09.92 22.0G 13VF24 F51 C~2rXy 2015 01 15.25857 04 23 32.627 +06 15 10.06 22.3G 13VF24 F51 C~2rXy 2015 01 19.22406 04 23 16.045 +06 16 49.15 22.4w 13VF24 F51 C~1vX5 2015 01 19.23615 04 23 15.998 +06 16 49.42 22.1w 13VF24 F51 C~1vX5 2015 01 19.24824 04 23 15.957 +06 16 49.76 22.5w 13VF24 F51 C~1vX5 2015 01 19.26035 04 23 15.900 +06 16 50.16 22.4w 13VF24 F51 C~1vX5 2015 10 08.48341 04 45 13.055 +07 39 17.07 22.4G 13VF24 F51 C~2rXy 2015 10 08.49558 04 45 13.025 +07 39 16.66 22.1G 13VF24 F51 C~2rXy 2015 10 08.50770 04 45 12.992 +07 39 16.34 22.3G 13VF24 F51 C~2rXy 2015 10 08.51983 04 45 12.947 +07 39 16.05 22.0G 13VF24 F51 C~2rXy 2015 10 09.48129 04 45 09.954 +07 38 50.35 22.7G 13VF24 F51 C~2rXy 2015 10 09.49346 04 45 09.927 +07 38 49.90 23.2G 13VF24 F51 C~2rXy 2015 10 09.50558 04 45 09.890 +07 38 49.65 22.2G 13VF24 F51 C~2rXy 2015 10 09.51767 04 45 09.847 +07 38 49.28 22.5G 13VF24 F51 C~2rXy 2015 11 18.46578 04 41 33.850 +07 23 48.68 22.6G 13VF24 F51 C~2rXy 2015 12 05.46365 04 39 29.720 +07 20 45.82 22.4G 13VF24 F51 C~2rXy 2015 12 05.47563 04 39 29.627 +07 20 46.08 22.3G 13VF24 F51 C~2rXy 2015 12 05.48766 04 39 29.525 +07 20 45.84 21.9G 13VF24 F51 C~2rXy 2015 12 05.49972 04 39 29.445 +07 20 45.48 22.2G 13VF24 F51 C~2rXy 2015 12 31.42745 04 36 27.766 +07 21 59.21 22.4G 13VF24 F51 C~2rXy 2016 01 01.33847 04 36 22.084 +07 22 09.91 22.7G 13VF24 F51 C~2rXy 2016 01 01.35132 04 36 22.011 +07 22 10.40 22.5G 13VF24 F51 C~2rXy 2016 01 01.36413 04 36 21.959 +07 22 10.71 22.3G 13VF24 F51 C~2rXy 2016 01 14.35152 04 35 09.527 +07 25 48.60 23.0G 13VF24 F51 C~2rXy 2016 01 14.36415 04 35 09.468 +07 25 48.75 22.8G 13VF24 F51 C~2rXy 2016 01 14.37675 04 35 09.394 +07 25 48.77 22.6G 13VF24 F51 C~2rXy 2016 01 14.38946 04 35 09.349 +07 25 49.18 22.2G 13VF24 F51 C~2rXy 2016 01 28.36490 04 34 13.179 +07 31 46.60 22.1G 13VF24 F51 C~2rXy 2016 10 28.57467 04 55 18.252 +08 39 32.36 22.3G 13VF24 F51 C~2rXy 2016 10 28.58650 04 55 18.206 +08 39 32.19 22.4G 13VF24 F51 C~2rXy 2016 10 28.59827 04 55 18.153 +08 39 31.87 22.3G 13VF24 F51 C~2rXy 2016 10 28.61008 04 55 18.075 +08 39 32.06 22.4G 13VF24 F51 C~2rXy 2017 11 18.38782 05 04 49.383 +09 41 20.56 22.1G 13VF24 F51 C~2rXy 2017 11 18.40087 05 04 49.288 +09 41 20.27 22.8G 13VF24 F51 C~2rXy 2017 11 18.41385 05 04 49.204 +09 41 20.12 22.8G 13VF24 F51 C~2rXy 2017 11 18.42684 05 04 49.100 +09 41 20.03 22.1G 13VF24 F51 C~2rXy 2017 11 19.40281 05 04 42.405 +09 41 08.52 22.5G 13VF24 F51 C~2rXy 2017 12 08.46712 05 02 23.723 +09 38 50.91 22.3G 13VF24 F51 C~2rXy 2017 12 08.47961 05 02 23.641 +09 38 50.70 22.1G 13VF24 F51 C~2rXy 2017 12 08.49204 05 02 23.521 +09 38 50.68 22.4G 13VF24 F51 C~2rXy 2017 12 08.50452 05 02 23.445 +09 38 50.67 21.8G 13VF24 F51 C~2rXy 2017 12 24.27032 05 00 27.618 +09 39 23.09 22.7G 13VF24 F51 C~2rXy 2017 12 24.28307 05 00 27.521 +09 39 23.32 22.8G 13VF24 F51 C~2rXy 2017 12 24.29583 05 00 27.421 +09 39 23.35 22.4G 13VF24 F51 C~2rXy 2017 12 24.30855 05 00 27.334 +09 39 23.43 22.4G 13VF24 F51 C~2rXy 2021 02 15.210160 05 30 30.959 +13 08 36.59 22.5G 13VF24 G37 C~4Z9T 2021 02 15.263800 05 30 30.838 +13 08 38.11 13VF24 G37 C~4Z9T
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 -0.18 0.00 -0.05 2 0.0000 0.00 0.04 0.00 -0.01 3 0.0000 0.00 0.11 0.00 0.01 4 10.1107 0.00 0.10 0.00 -0.10 5 10.1357 0.00 0.08 0.00 -0.14 6 10.1357 0.00 0.18 0.00 -0.19 7 10.1738 0.00 0.10 0.00 -0.03 8 11.1595 0.00 0.05 0.00 -0.18 9 11.1595 0.00 0.09 0.00 0.03 10 11.1596 0.00 -0.06 0.00 -0.03 11 11.1596 0.00 0.01 0.00 -0.10 12 12.0632 0.00 -0.01 0.00 0.02 13 12.1261 0.00 -0.32 0.00 0.17 14 12.1261 0.00 0.29 0.00 0.60 15 12.1262 0.00 0.06 0.00 0.26 16 12.1262 0.00 0.05 0.00 0.11 17 12.3281 0.00 -0.35 0.00 0.05 18 13.1088 0.00 -0.33 0.00 -0.26 19 13.1088 0.00 -0.35 0.00 -0.01 20 13.1088 0.00 0.13 0.00 -0.21 21 13.1690 0.00 -0.12 0.00 -0.02 22 13.1690 0.00 -0.12 0.00 -0.09 23 13.1690 0.00 0.02 0.00 -0.08 24 13.1691 0.00 -0.00 0.00 -0.01 25 13.2015 0.00 0.21 0.00 0.07 26 13.3164 0.00 0.08 0.00 0.05 27 13.3164 0.00 -0.03 0.00 0.09 28 13.3164 0.00 -0.11 0.00 0.21 29 13.3165 0.00 0.01 0.00 0.11 30 13.9745 0.00 0.22 0.00 -0.09 31 14.0126 0.00 -0.27 0.00 -0.01 32 14.0127 0.00 -0.12 0.00 0.08 33 14.0127 0.00 -0.01 0.00 0.47 34 14.1548 0.00 0.12 0.00 0.06 35 14.2829 0.00 0.04 0.00 -0.11 36 14.2829 0.00 -0.09 0.00 -0.08 37 14.2830 0.00 -0.21 0.00 -0.11 38 14.2992 0.00 -0.09 0.00 -0.02 39 14.2992 0.00 0.03 0.00 -0.07 40 14.2993 0.00 0.05 0.00 -0.09 41 14.2993 0.00 0.27 0.00 -0.22 42 14.3102 0.00 -0.21 0.00 0.03 43 14.3102 0.00 -0.18 0.00 -0.02 44 14.3102 0.00 -0.06 0.00 0.00 45 14.3103 0.00 -0.18 0.00 0.08 46 15.0282 0.00 -0.16 0.00 0.07 47 15.0282 0.00 -0.03 0.00 -0.02 48 15.0282 0.00 0.05 0.00 -0.01 49 15.0283 0.00 -0.05 0.00 0.02 50 15.0309 0.00 -0.14 0.00 0.01 51 15.0309 0.00 0.06 0.00 -0.11 52 15.0310 0.00 0.10 0.00 -0.04 53 15.0310 0.00 0.06 0.00 -0.09 54 15.1404 0.00 0.14 0.00 -0.15 55 15.1869 0.00 0.13 0.00 -0.05 56 15.1870 0.00 0.09 0.00 0.28 57 15.1870 0.00 -0.08 0.00 0.11 58 15.1870 0.00 0.08 0.00 -0.18 59 15.2580 0.00 0.19 0.00 0.04 60 15.2605 0.00 -0.09 0.00 -0.20 61 15.2605 0.00 0.04 0.00 0.13 62 15.2606 0.00 0.47 0.00 0.28 63 15.2961 0.00 -0.08 0.00 0.26 64 15.2962 0.00 -0.02 0.00 0.14 65 15.2962 0.00 -0.18 0.00 -0.10 66 15.2962 0.00 0.10 0.00 0.04 67 15.3345 0.00 0.25 0.00 -0.00 68 16.0852 0.00 -0.25 0.00 -0.17 69 16.0853 0.00 0.02 0.00 -0.09 70 16.0853 0.00 0.18 0.00 -0.16 71 16.0853 0.00 -0.03 0.00 0.28 72 17.1415 0.00 0.04 0.00 0.01 73 17.1416 0.00 -0.03 0.00 -0.12 74 17.1416 0.00 0.07 0.00 -0.12 75 17.1416 0.00 -0.14 0.00 -0.05 76 17.1443 0.00 -0.08 0.00 0.06 77 17.1965 0.00 -0.04 0.00 0.05 78 17.1965 0.00 0.16 0.00 -0.13 79 17.1966 0.00 -0.23 0.00 -0.12 80 17.1966 0.00 0.06 0.00 -0.10 81 17.2398 0.00 0.18 0.00 -0.06 82 17.2398 0.00 0.10 0.00 0.09 83 17.2399 0.00 -0.02 0.00 0.03 84 17.2399 0.00 0.05 0.00 0.02 85 20.3854 0.00 -0.04 0.00 0.00 86 20.3856 0.00 0.12 0.00 0.05
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.
13VF24 quality flag:3 Type: 3:2E 3:2E 3:2E Type: 6:4II 6:4II 6:4II axisobj 39.884 39.884 39.884 ecceobj 0.334 0.334 0.334 incobj 19.842 19.842 19.842 qmin 26.017 26.017 26.018 qmax 53.364 53.366 53.363 amean 39.454 39.454 39.454 amin 39.120 39.120 39.120 amax 39.884 39.883 39.884 emean 0.271 0.271 0.271 emin 0.160 0.160 0.160 emax 0.340 0.340 0.340 imean 20.793 20.794 20.793 imin 17.666 17.666 17.665 imax 24.425 24.425 24.425 excite_mean 0.450 0.450 0.450 fracstop 1.000 1.000 1.000 cjmean 2.819 2.819 2.819 libcent 0 179.4 179.4 179.4 libamp 0 18.7 18.6 18.8 libcent 1 181.0 181.0 181.0 libamp 1 136.7 136.5 136.8 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 278.0 278.0 278.0 kozaiamp 65.8 65.7 65.8