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 Sun Dec 22 02:10:59 2024 # Orbit generated from Bernstein formalism # Fitting 26 observations of 26 # Arc: 3.75y # First observation: 2015/03/14 # Last observation: 2018/12/13 Preliminary a, adot, b, bdot, g, gdot: -0.000095 0.050505 0.000023 0.002196 0.036382 0.000000 # Chi-squared of fit: 17.42 DOF: 46 RMS: 0.14 # Min/Max residuals: -0.36 0.33 # Exact a, adot, b, bdot, g, gdot: 2.285305E-05 4.973758E-02 6.160699E-07 2.179116E-03 3.464603E-02 -7.243349E-03 # Covariance matrix: 3.6014E-13 -2.6389E-13 4.5243E-15 -6.7970E-15 -5.6767E-14 -8.2802E-13 -2.6389E-13 3.5364E-13 -1.0645E-14 1.3677E-14 5.6102E-15 1.5418E-12 4.5243E-15 -1.0645E-14 2.8426E-13 -1.2375E-13 4.7179E-15 -5.0414E-14 -6.7970E-15 1.3677E-14 -1.2375E-13 6.6928E-14 1.0129E-15 7.4394E-14 -5.6767E-14 5.6102E-15 4.7179E-15 1.0129E-15 3.8845E-13 5.5834E-13 -8.2802E-13 1.5418E-12 -5.0414E-14 7.4394E-14 5.5834E-13 8.9908E-12 # lat0 lon0 xBary yBary zBary JD0 -13.808327 142.163553 -0.507221 -0.202999 -0.826694 2457095.576305 # Heliocentric elements and errors Epoch: 2457090.5000 = 2015/03/09 Mean Anomaly: 356.04944 +/- 0.002 Argument of Peri: 300.98538 +/- 0.009 Long of Asc Node: 221.31599 +/- 0.001 Inclination: 13.69462 +/- 0.000 Eccentricity: 0.60034005 +/- 0.0001 Semi-Major Axis: 72.71584550 +/- 0.0180 Time of Perihelion: 2459575.9099 +/- 1.1 Perihelion: 29.06161142 +/- 0.0099 Aphelion: 116.37007957 +/- 0.0296 Period (y) 620.0858 +/- 0.23 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -23.12340039 +/- 0.0004 Ecliptic Y 17.31488582 +/- 0.0003 Ecliptic Z -6.88896280 +/- 0.0001 Ecliptic XDOT -0.00200789 +/- 0.0000 Ecliptic YDOT -0.00342562 +/- 0.0000 Ecliptic ZDOT 0.00030393 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 29.69772256 +/- 0.0004 Geocenter to KBO 28.86333573 +/- 0.0005 # Hcoef: 9.01
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.
2015 03 14.075527 09 20 21.838 +01 01 46.56 23.4r 17ES51 W84 C~8HKi 2015 03 22.379982 09 19 45.98 +01 07 18.6 23.2i 17ES51 T09 C~81By 2015 03 22.424982 09 19 45.79 +01 07 20.4 17ES51 T09 C~81By 2015 03 22.456321 09 19 45.67 +01 07 21.6 17ES51 T09 C~81By 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 2018 01 17.52652 09 59 14.37 -01 49 52.7 23.5i 17ES51 T09 C~81By 2018 01 17.55074 09 59 14.24 -01 49 52.6 23.5i 17ES51 T09 C~81By 2018 01 17.55341 09 59 14.21 -01 49 52.4 22.9i 17ES51 T09 C~81By 2018 05 05.072856 09 51 30.665 -00 47 18.53 22.0r 17ES51 W84 C~8HKi 2018 12 13.249637 10 12 20.46 -02 35 13.3 17ES51 W84 C~81By
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 -0.03 0.00 0.08
2 0.0227 -614.87 0.02 146.27 0.04
3 0.0229 -618.14 -0.10 147.08 0.00
4 0.0229 -620.22 -0.00 147.66 -0.02
5 1.8737 25258.17 -0.24 686.09 -0.16
6 1.8738 25257.49 -0.06 686.19 0.01
7 1.8738 25256.92 0.09 686.00 -0.12
8 1.8738 25256.05 -0.05 685.71 -0.35
9 1.8738 25255.05 -0.07 685.81 -0.17
10 1.8739 25253.66 -0.01 685.67 -0.18
11 1.8741 25247.48 -0.01 685.44 0.10
12 1.8791 25082.13 0.03 673.52 0.18
13 1.8792 25080.36 -0.08 673.05 -0.18
14 1.8792 25079.37 0.09 673.15 0.01
15 1.8792 25077.76 -0.16 673.15 0.11
16 1.9749 21712.64 0.02 776.60 0.10
17 1.9749 21712.50 0.13 776.55 0.02
18 1.9750 21709.28 0.27 777.08 0.16
19 1.9802 21530.15 0.06 800.74 0.14
20 1.9804 21526.15 0.23 801.22 0.09
21 1.9804 21524.99 0.33 801.36 0.07
22 2.8486 36832.28 0.01 1231.09 0.14
23 2.8487 36830.34 -0.03 1230.57 -0.10
24 2.8487 36829.83 -0.32 1230.62 -0.01
25 3.1430 28854.30 -0.36 2625.28 0.00
26 3.7513 49406.06 0.24 2360.40 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.
17ES51 quality flag:2 Type: 11:3EEEEEE11:3EEEEEE CENTAURR axisobj 71.662 71.708 71.616 ecceobj 0.594 0.594 0.593 incobj 13.682 13.682 13.682 qmin 28.342 28.363 28.371 qmax 117.814 117.521 122.466 amean 71.595 71.594 71.616 amin 70.354 70.545 70.438 amax 73.447 73.232 75.945 emean 0.594 0.594 0.594 emin 0.584 0.586 0.584 emax 0.605 0.605 0.613 imean 14.295 14.218 14.302 imin 13.882 13.918 13.852 imax 14.688 14.522 15.038 excite_mean 0.644 0.643 0.644 fracstop 1.000 1.000 0.564 cjmean 2.824 2.824 2.824 libcent 0 173.4 180.3 -180.0 libamp 0 123.6 68.1 -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 176.2 146.0 150.8 kozaiamp 179.9 180.0 180.0