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: 17ES51 # Created Tue May 7 01:17:26 2024 # Orbit generated from Bernstein formalism # Fitting 17 observations of 17 # Arc: 38.96d # First observation: 2017/01/26 # Last observation: 2017/03/06 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.052040 0.000001 0.003746 0.035304 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 7.52 DOF: 29 RMS: 0.12 # Min/Max residuals: -0.24 0.20 # Exact a, adot, b, bdot, g, gdot: 2.369246E-05 5.011011E-02 2.004734E-06 3.709756E-03 3.493773E-02 -4.043663E-03 # Covariance matrix: 4.3925E-13 6.6624E-10 1.1135E-13 1.1513E-11 1.1308E-10 2.1460E-09 6.6624E-10 1.7277E-06 2.7909E-10 2.8828E-08 2.8274E-07 2.0615E-06 1.1135E-13 2.7909E-10 1.8299E-13 3.3219E-12 4.5980E-11 4.4143E-10 1.1513E-11 2.8828E-08 3.3219E-12 5.2050E-10 4.7505E-09 4.5934E-08 1.1308E-10 2.8274E-07 4.5980E-11 4.7505E-09 4.6606E-08 4.5558E-07 2.1460E-09 2.0615E-06 4.4143E-10 4.5934E-08 4.5558E-07 4.4175E-05 # lat0 lon0 xBary yBary zBary JD0 -13.514860 149.344772 0.388329 -0.211642 -0.881324 2457779.957981 # Heliocentric elements and errors Epoch: 2457770.5000 = 2017/01/17 Mean Anomaly: 356.52647 +/- 4.640 Argument of Peri: 301.92963 +/- 20.749 Long of Asc Node: 221.13910 +/- 0.465 Inclination: 13.71023 +/- 0.036 Eccentricity: 0.56510928 +/- 0.0631 Semi-Major Axis: 67.02091593 +/- 8.3213 Time of Perihelion: 2459704.1725 +/- 2557.7 Perihelion: 29.14677436 +/- 5.5636 Aphelion: 104.89505751 +/- 13.6922 Period (y) 548.6858 +/- 102.19 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -24.52598624 +/- 0.1479 Ecliptic Y 14.98110913 +/- 0.0877 Ecliptic Z -6.68894521 +/- 0.0413 Ecliptic XDOT -0.00179271 +/- 0.0004 Ecliptic YDOT -0.00350720 +/- 0.0003 Ecliptic ZDOT 0.00035665 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 29.50761969 +/- 0.1311 Geocenter to KBO 28.62235453 +/- 0.1769 # Hcoef: 9.17
The following table shows the complete astrometric record for 17ES51. 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 (17ES51) followed by the observatory code and reference code for the source of the astrometry.
2017 01 26.45718 09 47 06.72 -00 59 10.9 23.7z 17ES51 T09 C~7xU7 2017 01 26.46663 09 47 06.68 -00 59 10.6 23.7z 17ES51 T09 C~7xU7 2017 01 26.47468 09 47 06.64 -00 59 10.6 23.8z 17ES51 T09 C~7xU7 2017 01 26.48271 09 47 06.58 -00 59 10.6 23.6z 17ES51 T09 C~7xU7 2017 01 26.49344 09 47 06.52 -00 59 10.2 23.3z 17ES51 T09 C~7xU7 2017 01 26.50952 09 47 06.43 -00 59 09.9 23.3z 17ES51 T09 C~7xU7 2017 01 26.57764 09 47 06.04 -00 59 08.2 24.2z 17ES51 T09 C~7xU7 2017 01 28.42233 09 46 55.48 -00 58 28.2 24.8g 17ES51 T09 C~7xU7 2017 01 28.44025 09 46 55.36 -00 58 28.1 24.7g 17ES51 T09 C~7xU7 2017 01 28.45292 09 46 55.30 -00 58 27.7 24.6g 17ES51 T09 C~7xU7 2017 01 28.46760 09 46 55.20 -00 58 27.2 24.2g 17ES51 T09 C~7xU7 2017 03 04.39457 09 43 27.09 -00 39 24.5 23.5i 17ES51 T09 C~7xU7 2017 03 04.39725 09 43 27.08 -00 39 24.5 23.4i 17ES51 T09 C~7xU7 2017 03 04.43238 09 43 26.89 -00 39 23.0 23.4i 17ES51 T09 C~7xU7 2017 03 06.35845 09 43 16.17 -00 38 04.9 23.3i 17ES51 T09 C~7xU7 2017 03 06.40280 09 43 15.93 -00 38 03.2 23.5i 17ES51 T09 C~7xU7 2017 03 06.41622 09 43 15.86 -00 38 02.7 23.5i 17ES51 T09 C~7xU7
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 -0.21 0.00 -0.07 2 0.0000 -0.67 -0.03 0.08 0.11 3 0.0000 -1.23 0.12 -0.13 -0.02 4 0.0001 -2.08 -0.01 -0.44 -0.24 5 0.0001 -3.06 -0.04 -0.37 -0.07 6 0.0001 -4.43 0.02 -0.55 -0.08 7 0.0003 -10.51 0.01 -0.95 0.20 8 0.0054 -173.01 0.09 -17.57 0.20 9 0.0054 -174.73 -0.01 -18.09 -0.16 10 0.0055 -175.72 0.16 -18.03 0.03 11 0.0055 -177.30 -0.09 -18.07 0.12 12 0.1011 -3501.55 -0.16 -13.04 -0.04 13 0.1011 -3501.69 -0.05 -13.09 -0.11 14 0.1012 -3504.89 0.09 -12.66 0.03 15 0.1065 -3682.75 -0.11 5.65 0.07 16 0.1066 -3686.72 0.06 6.02 0.02 17 0.1067 -3687.88 0.16 6.13 0.01
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.
17ES51 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0