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: 07FO51 # Created Sun Nov 24 02:08:55 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 64 observations of 64 # Arc: 19.10y # First observation: 2004/03/16 # Last observation: 2023/04/24 # Chi-squared of fit: 170.14 DOF: 122 RMS: 0.29 # Min/Max residuals: -0.94 0.74 # Exact a, adot, b, bdot, g, gdot: 1.737821E-05 2.969769E-02 -2.430473E-06 -4.807914E-03 2.684378E-02 -5.127028E-03 # Covariance matrix: 1.7081E-13 -3.0124E-14 -1.4071E-14 3.9446E-15 -2.1595E-15 -3.5357E-14 -3.0124E-14 7.3723E-15 3.8589E-15 -1.1561E-15 -1.3472E-15 1.0385E-14 -1.4071E-14 3.8589E-15 9.3869E-14 -7.8646E-15 4.8991E-15 5.6745E-15 3.9446E-15 -1.1561E-15 -7.8646E-15 9.2897E-16 5.1832E-16 -1.8244E-15 -2.1595E-15 -1.3472E-15 4.8991E-15 5.1832E-16 5.0134E-14 -5.2252E-15 -3.5357E-14 1.0385E-14 5.6745E-15 -1.8244E-15 -5.2252E-15 1.6424E-14 # lat0 lon0 xBary yBary zBary JD0 27.005067 153.364820 -0.384469 0.414811 -0.813843 2453080.884278 # Heliocentric elements and errors Epoch: 2453080.5000 = 2004/03/16 Mean Anomaly: 337.77709 +/- 0.002 Argument of Peri: 149.49351 +/- 0.004 Long of Asc Node: 43.27323 +/- 0.000 Inclination: 27.93447 +/- 0.000 Eccentricity: 0.29417092 +/- 0.0000 Semi-Major Axis: 50.93568113 +/- 0.0026 Time of Perihelion: 2461277.0312 +/- 9.5 Perihelion: 35.95188519 +/- 0.0022 Aphelion: 65.91947706 +/- 0.0036 Period (y) 363.5309 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -30.66147867 +/- 0.0002 Ecliptic Y 14.94732442 +/- 0.0001 Ecliptic Z 16.91519863 +/- 0.0001 Ecliptic XDOT -0.00114394 +/- 0.0000 Ecliptic YDOT -0.00282332 +/- 0.0000 Ecliptic ZDOT -0.00067420 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.07467232 +/- 0.0002 Geocenter to KBO 37.25272532 +/- 0.0003 # Hcoef: 7.16
The following table shows the complete astrometric record for 07FO51. 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 (07FO51) followed by the observatory code and reference code for the source of the astrometry.
2004 03 16.383535 11 07 27.53 +35 08 00.6 21.7V 07FO51 645 C~1RHm 2004 03 16.384364 11 07 27.53 +35 08 00.6 21.6V 07FO51 645 C~1RHm 2004 03 16.386852 11 07 27.51 +35 08 00.6 22.3V 07FO51 645 C~1RHm 2007 03 21.40836 11 27 22.41 +32 02 27.0 23.0r 07FO51 568 C~1QdJ 2007 03 21.44962 11 27 22.15 +32 02 28.1 22.5r 07FO51 568 C~1QdJ 2007 03 21.49084 11 27 21.90 +32 02 28.7 23.1r 07FO51 568 C~1QdJ 2007 05 15.26819 11 23 25.52 +31 53 15.4 22.5r 07FO51 695 C~1QdJ 2007 05 16.17751 11 23 23.69 +31 52 43.0 07FO51 675 C~1QdJ 2007 05 16.22810 11 23 23.59 +31 52 41.2 07FO51 675 C~1QdJ 2007 05 16.24618 11 23 23.63 +31 52 41.2 22.6r 07FO51 695 C~1QdJ 2007 05 16.32638 11 23 23.50 +31 52 37.1 22.9r 07FO51 695 C~1QdJ 2007 05 17.26820 11 23 21.76 +31 52 03.7 22.5r 07FO51 695 C~1QdJ 2008 03 04.54328 11 35 31.48 +30 50 03.2 23.0r 07FO51 568 C~1QdJ 2008 03 04.55929 11 35 31.39 +30 50 03.7 07FO51 568 C~1QdK 2008 03 04.57523 11 35 31.29 +30 50 04.2 22.8r 07FO51 568 C~1QdK 2008 04 04.35277 11 32 33.86 +30 59 15.3 23.2r 07FO51 568 C~1QdK 2008 04 05.29325 11 32 28.83 +30 59 18.6 23.0r 07FO51 568 C~1QdK 2008 05 03.24626 11 30 25.64 +30 54 29.1 07FO51 695 C~1QdK 2008 05 04.22328 11 30 22.43 +30 54 05.6 07FO51 695 C~1QdK 2008 12 06.46452 11 45 31.06 +28 43 17.4 22.9R 07FO51 675 C~1QdK 2008 12 06.54019 11 45 31.22 +28 43 19.0 22.9R 07FO51 675 C~1QdK 2008 12 06.54339 11 45 31.22 +28 43 19.1 23.1R 07FO51 675 C~1QdK 2008 12 21.45214 11 45 52.57 +28 50 59.4 07FO51 695 C~1QdK 2008 12 21.52885 11 45 52.60 +28 51 02.1 07FO51 695 C~1QdK 2008 12 22.48955 11 45 53.08 +28 51 36.6 07FO51 695 C~1QdK 2014 12 25.60789 12 21 41.678 +21 36 00.52 23.6G 07FO51 F51 C~344N 2015 01 24.67424 12 21 26.795 +21 53 17.52 22.2G 07FO51 F51 C~344N 2015 03 15.53373 12 17 58.253 +22 25 55.79 22.5G 07FO51 F51 C~344N 2015 04 13.29386 12 15 18.590 +22 35 49.84 22.4G 07FO51 F51 C~344N 2015 04 13.30564 12 15 18.519 +22 35 50.05 23.1G 07FO51 F51 C~344N 2015 04 13.31736 12 15 18.467 +22 35 49.85 22.5G 07FO51 F51 C~344N 2015 04 13.32902 12 15 18.374 +22 35 50.21 22.8G 07FO51 F51 C~344N 2016 02 04.44246 12 26 48.21 +20 42 14.3 22.6R 07FO51 G37 C~1lvQ 2016 02 04.48323 12 26 48.078 +20 42 15.90 22.5G 07FO51 F51 C~344N 2016 02 04.49637 12 26 48.05 +20 42 16.6 07FO51 G37 C~1lvQ 2016 03 03.39669 12 24 52.521 +21 00 59.14 22.2G 07FO51 F51 C~344N 2016 03 03.41104 12 24 52.398 +21 00 59.64 22.4G 07FO51 F51 C~344N 2016 03 03.42544 12 24 52.369 +21 00 59.99 22.3G 07FO51 F51 C~344N 2016 03 03.43993 12 24 52.250 +21 01 00.71 22.0G 07FO51 F51 C~344N 2016 03 05.40716 12 24 42.247 +21 02 12.79 22.5G 07FO51 F51 C~344N 2016 03 05.42007 12 24 42.164 +21 02 13.08 23.1G 07FO51 F51 C~344N 2016 03 05.43308 12 24 42.099 +21 02 13.52 22.7G 07FO51 F51 C~344N 2016 03 05.44621 12 24 42.047 +21 02 14.06 23.1G 07FO51 F51 C~344N 2016 04 11.30636 12 21 19.800 +21 17 46.71 22.8G 07FO51 F51 C~344N 2016 04 11.31797 12 21 19.729 +21 17 46.94 23.1G 07FO51 F51 C~344N 2016 04 11.32967 12 21 19.651 +21 17 47.70 22.0G 07FO51 F51 C~344N 2016 04 11.34146 12 21 19.629 +21 17 47.03 22.3G 07FO51 F51 C~344N 2016 05 03.28839 12 19 33.164 +21 18 34.80 22.5G 07FO51 F51 C~344N 2016 06 04.30353 12 18 01.107 +21 07 01.61 22.7G 07FO51 F51 C~344N 2016 06 04.31731 12 18 01.077 +21 07 01.35 23.0G 07FO51 F51 C~344N 2016 06 04.33124 12 18 01.045 +21 07 00.42 23.0G 07FO51 F51 C~344N 2016 06 04.34508 12 18 01.057 +21 06 59.90 22.4G 07FO51 F51 C~344N 2017 02 04.50879 12 32 31.133 +19 23 24.75 22.6G 07FO51 F51 C~344N 2017 03 17.55279 12 29 28.622 +19 49 18.56 23.2G 07FO51 F51 C~344N 2017 03 25.52220 12 28 44.558 +19 53 05.59 23.4G 07FO51 F51 C~344N 2018 04 10.26936 12 33 05.251 +18 38 14.58 22.7R 07FO51 G37 C~2bGZ 2018 04 10.34647 12 33 04.800 +18 38 15.85 07FO51 G37 C~2bGZ 2018 04 10.43269 12 33 04.326 +18 38 17.39 07FO51 G37 C~2bGZ 2021 05 12.180280 12 47 22.897 +14 36 24.66 22.8G 07FO51 G37 C~4pRr 2021 05 12.232010 12 47 22.668 +14 36 24.12 07FO51 G37 C~4pRr 2021 05 12.279030 12 47 22.471 +14 36 23.93 07FO51 G37 C~4pRr 2023 04 24.153410 12 59 47.822 +11 48 23.78 23.0G 07FO51 G37 C~6hHP 2023 04 24.215420 12 59 47.446 +11 48 24.40 07FO51 G37 C~6hHP 2023 04 24.275540 12 59 47.194 +11 48 25.46 07FO51 G37 C~6hHP
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 -0.02 0.00 -0.08 2 0.0000 0.00 0.06 0.00 -0.10 3 0.0000 0.00 -0.02 0.00 -0.13 4 3.0117 0.00 0.56 0.00 -0.02 5 3.0118 0.00 0.35 0.00 0.43 6 3.0119 0.00 0.29 0.00 0.39 7 3.1619 0.00 0.24 0.00 0.31 8 3.1644 0.00 -0.82 0.00 0.07 9 3.1645 0.00 -0.81 0.00 0.09 10 3.1646 0.00 0.35 0.00 0.74 11 3.1648 0.00 0.73 0.00 -0.44 12 3.1674 0.00 0.44 0.00 0.27 13 3.9676 0.00 -0.16 0.00 -0.23 14 3.9676 0.00 -0.09 0.00 -0.21 15 3.9677 0.00 -0.18 0.00 -0.19 16 4.0519 0.00 0.06 0.00 -0.38 17 4.0545 0.00 0.01 0.00 -0.40 18 4.1310 0.00 -0.19 0.00 0.03 19 4.1337 0.00 -0.90 0.00 -0.04 20 4.7258 0.00 0.28 0.00 0.21 21 4.7260 0.00 0.17 0.00 -0.16 22 4.7260 0.00 0.06 0.00 -0.14 23 4.7668 0.00 -0.05 0.00 0.15 24 4.7670 0.00 -0.14 0.00 0.10 25 4.7696 0.00 -0.13 0.00 0.04 26 10.7768 0.00 -0.46 0.00 -0.94 27 10.8591 0.00 -0.21 0.00 0.06 28 10.9956 0.00 -0.10 0.00 -0.24 29 11.0744 0.00 -0.15 0.00 -0.07 30 11.0744 0.00 -0.27 0.00 0.03 31 11.0744 0.00 -0.10 0.00 -0.28 32 11.0745 0.00 -0.56 0.00 -0.03 33 11.8879 0.00 0.13 0.00 0.21 34 11.8880 0.00 -0.13 0.00 0.08 35 11.8881 0.00 0.25 0.00 0.29 36 11.9644 0.00 0.54 0.00 0.16 37 11.9645 0.00 -0.20 0.00 0.12 38 11.9645 0.00 0.47 0.00 -0.06 39 11.9646 0.00 -0.19 0.00 0.12 40 11.9699 0.00 0.12 0.00 0.14 41 11.9700 0.00 -0.11 0.00 -0.04 42 11.9700 0.00 -0.06 0.00 -0.07 43 11.9701 0.00 0.19 0.00 -0.01 44 12.0710 0.00 -0.03 0.00 -0.03 45 12.0710 0.00 -0.15 0.00 0.06 46 12.0710 0.00 -0.36 0.00 0.68 47 12.0711 0.00 0.27 0.00 -0.13 48 12.1312 0.00 0.22 0.00 -0.15 49 12.2188 0.00 0.27 0.00 0.05 50 12.2188 0.00 0.12 0.00 0.27 51 12.2189 0.00 -0.05 0.00 -0.17 52 12.2189 0.00 0.43 0.00 -0.20 53 12.8901 0.00 -0.13 0.00 -0.20 54 13.0025 0.00 -0.13 0.00 -0.07 55 13.0243 0.00 0.09 0.00 -0.12 56 14.0668 0.00 0.13 0.00 -0.09 57 14.0670 0.00 -0.24 0.00 -0.05 58 14.0672 0.00 -0.24 0.00 0.14 59 17.1548 0.00 0.29 0.00 0.25 60 17.1550 0.00 0.08 0.00 -0.02 61 17.1551 0.00 0.06 0.00 0.05 62 19.1041 0.00 0.14 0.00 0.01 63 19.1043 0.00 -0.61 0.00 -0.16 64 19.1044 0.00 0.36 0.00 0.14
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.
07FO51 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 50.290 50.290 50.291 ecceobj 0.285 0.285 0.285 incobj 27.962 27.962 27.962 qmin 34.357 34.332 34.320 qmax 67.359 67.422 67.433 amean 50.508 50.505 50.488 amin 50.010 50.039 49.933 amax 51.101 51.132 51.133 emean 0.297 0.297 0.296 emin 0.276 0.276 0.271 emax 0.319 0.319 0.319 imean 26.785 26.779 26.805 imin 26.061 26.028 26.046 imax 27.501 27.499 27.585 excite_mean 0.540 0.540 0.540 fracstop 1.000 1.000 1.000 cjmean 2.804 2.804 2.804 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 179.9 180.3 180.6 kozaiamp 180.0 179.9 179.9