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: 13SK112 # Created Wed Dec 25 02:09:35 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 17 observations of 17 # Arc: 6.09y # First observation: 2013/09/29 # Last observation: 2019/11/01 # Chi-squared of fit: 9.62 DOF: 28 RMS: 0.13 # Min/Max residuals: -0.33 0.28 # Exact a, adot, b, bdot, g, gdot: 1.451116E-05 2.003186E-02 -2.112579E-07 -2.191098E-04 2.217865E-02 1.302301E-03 # Covariance matrix: 3.9530E-13 -1.9164E-13 -1.4454E-15 1.4749E-15 8.4189E-14 -1.2045E-12 -1.9164E-13 2.4606E-13 1.8619E-15 -2.5692E-15 -1.3487E-15 2.0968E-12 -1.4454E-15 1.8619E-15 3.0751E-13 -6.2776E-14 -2.1983E-15 1.7636E-14 1.4749E-15 -2.5692E-15 -6.2776E-14 1.7900E-14 1.4678E-16 -2.3639E-14 8.4189E-14 -1.3487E-15 -2.1983E-15 1.4678E-16 4.6348E-13 -1.2429E-13 -1.2045E-12 2.0968E-12 1.7636E-14 -2.3639E-14 -1.2429E-13 1.9293E-11 # lat0 lon0 xBary yBary zBary JD0 -1.862067 7.645373 0.030383 -0.032436 -1.000944 2456564.729018 # Heliocentric elements and errors Epoch: 2456564.5000 = 2013/09/29 Mean Anomaly: 122.03607 +/- 0.150 Argument of Peri: 121.84144 +/- 0.140 Long of Asc Node: 116.74583 +/- 0.011 Inclination: 1.92811 +/- 0.000 Eccentricity: 0.07585128 +/- 0.0001 Semi-Major Axis: 44.14156409 +/- 0.0059 Time of Perihelion: 2420252.0361 +/- 45.2 Perihelion: 40.79336987 +/- 0.0083 Aphelion: 47.48975830 +/- 0.0089 Period (y) 293.2782 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 45.66010463 +/- 0.0014 Ecliptic Y 6.10167126 +/- 0.0002 Ecliptic Z -1.46511460 +/- 0.0001 Ecliptic XDOT -0.00017678 +/- 0.0000 Ecliptic YDOT 0.00247080 +/- 0.0000 Ecliptic ZDOT -0.00003212 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.08924437 +/- 0.0014 Geocenter to KBO 45.08839951 +/- 0.0014 # Hcoef: 7.38
The following table shows the complete astrometric record for 13SK112. 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 (13SK112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 29.22824 00 31 01.509 +01 19 21.15 23.5r 13SK112 W84 C~52RU 2013 09 29.22965 00 31 01.498 +01 19 20.98 23.4i 13SK112 W84 C~52RU 2013 11 08.17535 00 28 30.099 +01 03 36.96 23.5r 13SK112 W84 C~52RU 2013 11 08.17673 00 28 30.105 +01 03 36.63 23.3i 13SK112 W84 C~52RU 2016 09 09.28058 00 44 58.253 +02 46 34.40 24.3r 13SK112 W84 C~52RU 2016 09 09.28195 00 44 58.256 +02 46 34.52 23.4i 13SK112 W84 C~52RU 2016 11 18.08134 00 40 35.894 +02 19 12.27 24.1r 13SK112 W84 C~52RU 2016 11 25.06487 00 40 18.575 +02 17 36.31 24.4r 13SK112 W84 C~52RU 2017 08 28.27714 00 49 50.826 +03 17 08.62 24.3i 13SK112 W84 C~52RU 2017 08 28.27853 00 49 50.840 +03 17 08.84 23.9r 13SK112 W84 C~52RU 2018 10 10.23758 00 51 20.403 +03 25 22.00 24.0r 13SK112 W84 C~52RU 2018 10 18.19756 00 50 47.839 +03 21 59.09 23.0z 13SK112 W84 C~52RU 2018 10 18.19894 00 50 47.841 +03 21 58.92 23.5i 13SK112 W84 C~52RU 2019 11 01.34476 00 54 05.07 +03 42 18.1 25.1g 13SK112 T09 C~7bIB 2019 11 01.42395 00 54 04.77 +03 42 16.1 25.2g 13SK112 T09 C~7bIB 2019 11 01.50753 00 54 04.44 +03 42 14.7 24.6g 13SK112 T09 C~7bIB 2019 11 01.50962 00 54 04.44 +03 42 14.6 24.5g 13SK112 T09 C~7bIB
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 -0.05 0.00 -0.01
2 0.0000 0.00 -0.12 0.00 -0.14
3 0.1094 0.00 0.05 0.00 0.12
4 0.1094 0.00 0.20 0.00 -0.18
5 2.9461 0.00 -0.12 0.00 -0.03
6 2.9461 0.00 -0.00 0.00 0.13
7 3.1372 0.00 -0.01 0.00 -0.04
8 3.1563 0.00 -0.07 0.00 0.28
9 3.9125 0.00 -0.04 0.00 -0.05
10 3.9125 0.00 0.24 0.00 0.20
11 5.0295 0.00 0.03 0.00 0.14
12 5.0513 0.00 -0.12 0.00 -0.03
13 5.0513 0.00 -0.00 0.00 -0.16
14 6.0893 0.00 0.10 0.00 -0.09
15 6.0895 0.00 0.10 0.00 -0.33
16 6.0897 0.00 -0.12 0.00 0.13
17 6.0898 0.00 -0.00 0.00 0.07
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.
13SK112 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.392 44.392 44.392 ecceobj 0.074 0.074 0.074 incobj 1.927 1.927 1.927 qmin 40.203 40.205 40.188 qmax 48.355 48.357 48.355 amean 44.173 44.172 44.172 amin 43.821 43.824 43.825 amax 44.555 44.553 44.552 emean 0.071 0.071 0.071 emin 0.055 0.055 0.055 emax 0.086 0.086 0.086 imean 1.013 1.013 1.013 imin 0.310 0.310 0.310 imax 1.612 1.612 1.612 excite_mean 0.073 0.073 0.073 fracstop 1.000 1.000 1.000 cjmean 3.097 3.097 3.097 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 167.5 167.7 167.6 kozaiamp 179.9 180.0 180.0