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: 13UD17 # Created Fri Nov 22 02:09:46 2024 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 1.37y # First observation: 2013/08/02 # Last observation: 2014/12/17 Preliminary a, adot, b, bdot, g, gdot: -0.000261 0.033773 0.000063 0.016630 0.029830 0.000000 # Chi-squared of fit: 6.64 DOF: 24 RMS: 0.12 # Min/Max residuals: -0.31 0.24 # Exact a, adot, b, bdot, g, gdot: 1.823325E-05 3.394994E-02 8.412805E-06 1.688346E-02 2.991785E-02 3.829732E-03 # Covariance matrix: 4.6431E-13 1.1524E-13 -6.8690E-14 4.4033E-13 4.7527E-13 2.0359E-11 1.1524E-13 1.6242E-12 -1.8334E-13 1.1625E-12 8.8818E-13 5.3624E-11 -6.8690E-14 -1.8334E-13 2.3561E-13 -5.0912E-13 -1.7141E-13 -1.1085E-11 4.4033E-13 1.1625E-12 -5.0912E-13 2.2417E-12 1.0914E-12 7.0174E-11 4.7527E-13 8.8818E-13 -1.7141E-13 1.0914E-12 9.6529E-13 5.0387E-11 2.0359E-11 5.3624E-11 -1.1085E-11 7.0174E-11 5.0387E-11 3.2359E-09 # lat0 lon0 xBary yBary zBary JD0 -1.317057 15.752597 0.926427 -0.009603 -0.418896 2456507.009328 # Heliocentric elements and errors Epoch: 2456500.5000 = 2013/07/27 Mean Anomaly: 5.98258 +/- 0.110 Argument of Peri: 342.00299 +/- 0.285 Long of Asc Node: 16.81273 +/- 0.000 Inclination: 26.36706 +/- 0.001 Eccentricity: 0.39766703 +/- 0.0006 Semi-Major Axis: 55.65977265 +/- 0.0348 Time of Perihelion: 2453979.9444 +/- 46.3 Perihelion: 33.52571617 +/- 0.0404 Aphelion: 77.79382914 +/- 0.0596 Period (y) 415.2602 +/- 0.39 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.81559596 +/- 0.0011 Ecliptic Y 8.29713955 +/- 0.0003 Ecliptic Z -0.76794408 +/- 0.0000 Ecliptic XDOT -0.00047829 +/- 0.0000 Ecliptic YDOT 0.00309409 +/- 0.0000 Ecliptic ZDOT 0.00153672 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.85698748 +/- 0.0010 Geocenter to KBO 33.42486654 +/- 0.0011 # Hcoef: 9.12
The following table shows the complete astrometric record for 13UD17. 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 (13UD17) followed by the observatory code and reference code for the source of the astrometry.
2013 08 02.50855 01 00 04.549 +04 59 01.53 24.3r 13UD17 568 C~2NKY 2013 08 02.55128 01 00 04.487 +04 59 01.43 24.8r 13UD17 568 C~2NKY 2013 09 04.40817 00 58 17.954 +04 52 36.94 24.7r 13UD17 568 C~2NKY 2013 09 04.45095 00 58 17.745 +04 52 35.98 24.2r 13UD17 568 C~2NKY 2013 10 31.23096 00 53 11.133 +04 30 22.01 24.6r 13UD17 568 C~2NKY 2013 10 31.27407 00 53 10.902 +04 30 21.19 23.9r 13UD17 568 C~2NKY 2013 10 31.31685 00 53 10.679 +04 30 20.32 24.4r 13UD17 568 C~2NKY 2013 11 01.25731 00 53 05.875 +04 30 00.95 24.1r 13UD17 568 C~2NKY 2013 11 29.22005 00 51 09.651 +04 23 19.26 24.3r 13UD17 568 C~2NKY 2013 12 04.24712 00 50 55.743 +04 22 52.47 24.2r 13UD17 568 C~2NKY 2013 12 04.29457 00 50 55.627 +04 22 52.19 24.8r 13UD17 568 C~2NKY 2013 12 06.21068 00 50 51.005 +04 22 45.95 24.5r 13UD17 568 C~2NKY 2014 06 27.59003 01 05 34.628 +06 30 00.45 24.9r 13UD17 568 C~2NKY 2014 06 28.59510 01 05 36.840 +06 30 23.69 24.5r 13UD17 568 C~2NKY 2014 12 17.31110 00 56 13.358 +06 01 01.69 24.1r 13UD17 568 C~2NKY
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 -0.06 0.00 0.11
2 0.0001 -0.89 0.16 0.26 0.03
3 0.0901 -1618.43 0.12 257.67 0.05
4 0.0902 -1621.68 -0.07 257.98 -0.01
5 0.2456 -6367.27 -0.03 795.73 -0.06
6 0.2458 -6370.77 -0.07 796.31 0.05
7 0.2459 -6374.19 -0.05 796.80 0.06
8 0.2485 -6448.00 0.09 806.71 0.15
9 0.3250 -8208.44 0.05 1109.17 -0.04
10 0.3388 -8410.93 -0.00 1165.09 0.08
11 0.3389 -8412.64 0.07 1165.50 -0.06
12 0.3442 -8478.90 -0.19 1186.55 -0.28
13 0.9010 6644.93 -0.02 3155.61 -0.31
14 0.9037 6684.33 -0.10 3164.51 0.00
15 1.3739 -1753.80 0.10 4763.34 0.24
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.
13UD17 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 56.082 56.237 55.931 ecceobj 0.403 0.405 0.400 incobj 26.319 26.320 26.319 qmin 32.845 32.729 32.896 qmax 79.351 79.553 79.385 amean 55.461 55.462 55.461 amin 54.704 54.627 54.744 amax 56.371 56.491 56.366 emean 0.359 0.389 0.349 emin 0.300 0.366 0.255 emax 0.408 0.411 0.408 imean 28.055 26.704 28.279 imin 26.032 25.935 26.039 imax 30.099 27.517 31.441 excite_mean 0.593 0.595 0.591 fracstop 1.000 1.000 1.000 cjmean 2.776 2.775 2.778 libcent 0 181.5 180.7 180.9 libamp 0 139.9 148.4 151.4 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 102.4 157.9 85.7 kozaiamp 180.0 180.0 180.0