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: 13SK106 # Created Wed Dec 25 02:09:35 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 23 observations of 23 # Arc: 16.25y # First observation: 2000/08/28 # Last observation: 2016/11/26 # Chi-squared of fit: 4.64 DOF: 40 RMS: 0.08 # Min/Max residuals: -0.17 0.16 # Exact a, adot, b, bdot, g, gdot: 1.543178E-05 2.255050E-02 8.576147E-08 2.495469E-04 2.343393E-02 2.365116E-07 # Covariance matrix: 7.3422E-13 -1.0124E-13 8.4377E-16 -6.2936E-16 -5.6122E-14 -1.4692E-13 -1.0124E-13 5.3453E-14 -7.1338E-16 5.2508E-16 7.9562E-14 1.2476E-13 8.4377E-16 -7.1338E-16 6.6458E-13 -4.4347E-14 -8.9783E-16 -1.8103E-15 -6.2936E-16 5.2508E-16 -4.4347E-14 3.2496E-15 6.0605E-16 1.3414E-15 -5.6122E-14 7.9562E-14 -8.9783E-16 6.0605E-16 3.5069E-13 1.6132E-13 -1.4692E-13 1.2476E-13 -1.8103E-15 1.3414E-15 1.6132E-13 3.1592E-13 # lat0 lon0 xBary yBary zBary JD0 -1.002110 -7.809090 0.298888 -0.016968 -0.961314 2451784.795313 # Heliocentric elements and errors Epoch: 2451784.5000 = 2000/08/28 Mean Anomaly: 340.86109 +/- 0.053 Argument of Peri: 322.85996 +/- 0.057 Long of Asc Node: 49.19929 +/- 0.005 Inclination: 1.16322 +/- 0.000 Eccentricity: 0.02881997 +/- 0.0001 Semi-Major Axis: 44.85761264 +/- 0.0042 Time of Perihelion: 2457618.5119 +/- 21.8 Perihelion: 43.56481770 +/- 0.0050 Aphelion: 46.15040757 +/- 0.0052 Period (y) 300.4432 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.18860021 +/- 0.0011 Ecliptic Y -6.21899932 +/- 0.0001 Ecliptic Z -0.74634046 +/- 0.0000 Ecliptic XDOT 0.00035121 +/- 0.0000 Ecliptic YDOT 0.00261543 +/- 0.0000 Ecliptic ZDOT 0.00002930 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.64044815 +/- 0.0011 Geocenter to KBO 42.67320865 +/- 0.0011 # Hcoef: 6.75
The following table shows the complete astrometric record for 13SK106. 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 (13SK106) followed by the observatory code and reference code for the source of the astrometry.
2000 08 28.29457 23 32 53.94 -04 01 07.9 22.6R 13SK106 807 C~3clG 2000 08 28.36825 23 32 53.64 -04 01 09.8 13SK106 807 C~3clG 2013 09 28.11390 00 32 13.591 +02 37 50.05 23.6g 13SK106 W84 C~4yR3 2013 09 30.15357 00 32 04.77 +02 36 53.8 23.2r 13SK106 W84 C~3clG 2013 09 30.15656 00 32 04.751 +02 36 53.64 22.8i 13SK106 W84 C~4yR3 2013 10 13.09336 00 31 09.143 +02 31 00.89 22.8z 13SK106 W84 C~4yR3 2013 10 13.12065 00 31 09.026 +02 31 00.23 23.1i 13SK106 W84 C~4yR3 2013 11 22.09809 00 28 50.468 +02 16 43.47 24.3g 13SK106 W84 C~4yR3 2013 11 22.09947 00 28 50.471 +02 16 43.33 23.2r 13SK106 W84 C~4yR3 2013 11 22.13497 00 28 50.389 +02 16 42.95 22.9i 13SK106 W84 C~4yR3 2014 11 14.05019 00 33 54.433 +02 50 24.83 22.6z 13SK106 W84 C~4yR3 2014 11 15.10387 00 33 51.319 +02 50 05.73 22.9z 13SK106 W84 C~4yR3 2016 09 09.28605 00 47 42.458 +04 20 32.87 23.0i 13SK106 W84 C~4yR3 2016 09 09.28743 00 47 42.454 +04 20 32.91 23.0r 13SK106 W84 C~4yR3 2016 09 09.28881 00 47 42.437 +04 20 32.73 24.0g 13SK106 W84 C~4yR3 2016 09 10.31721 00 47 38.501 +04 20 07.62 22.3z 13SK106 W84 C~4yR3 2016 11 08.11301 00 43 37.074 +03 54 57.40 22.4i 13SK106 W84 C~4yR3 2016 11 08.11440 00 43 37.054 +03 54 57.51 23.0z 13SK106 W84 C~4yR3 2016 11 18.08408 00 43 05.440 +03 51 46.01 23.3r 13SK106 W84 C~4yR3 2016 11 18.12288 00 43 05.326 +03 51 45.26 23.1i 13SK106 W84 C~4yR3 2016 11 18.12426 00 43 05.309 +03 51 45.43 22.8z 13SK106 W84 C~4yR3 2016 11 26.10593 00 42 44.520 +03 49 41.66 22.9r 13SK106 W84 C~4yR3 2016 11 26.10730 00 42 44.522 +03 49 41.58 23.8g 13SK106 W84 C~4yR3
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 -0.00
2 0.0002 0.00 0.02 0.00 0.04
3 13.0837 0.00 0.14 0.00 0.02
4 13.0893 0.00 0.08 0.00 -0.00
5 13.0893 0.00 -0.01 0.00 -0.08
6 13.1247 0.00 -0.02 0.00 -0.07
7 13.1248 0.00 -0.02 0.00 -0.01
8 13.2342 0.00 -0.05 0.00 -0.01
9 13.2342 0.00 0.04 0.00 -0.13
10 13.2343 0.00 0.09 0.00 -0.02
11 14.2115 0.00 -0.14 0.00 0.15
12 14.2144 0.00 -0.03 0.00 -0.06
13 16.0328 0.00 -0.01 0.00 0.03
14 16.0328 0.00 0.01 0.00 0.11
15 16.0328 0.00 -0.17 0.00 -0.04
16 16.0357 0.00 0.06 0.00 0.05
17 16.1966 0.00 0.11 0.00 -0.05
18 16.1966 0.00 -0.11 0.00 0.09
19 16.2239 0.00 0.11 0.00 0.05
20 16.2240 0.00 0.11 0.00 -0.03
21 16.2240 0.00 -0.08 0.00 0.16
22 16.2459 0.00 -0.02 0.00 -0.05
23 16.2459 0.00 0.06 0.00 -0.11
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.
13SK106 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.942 44.942 44.942 ecceobj 0.030 0.030 0.030 incobj 1.163 1.163 1.163 qmin 42.700 42.700 42.701 qmax 46.807 46.809 46.804 amean 44.689 44.689 44.689 amin 44.350 44.346 44.351 amax 45.040 45.042 45.040 emean 0.027 0.027 0.027 emin 0.012 0.012 0.012 emax 0.040 0.040 0.040 imean 1.224 1.224 1.224 imin 0.613 0.612 0.612 imax 1.640 1.640 1.640 excite_mean 0.035 0.035 0.035 fracstop 1.000 1.000 1.000 cjmean 3.108 3.108 3.108 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 218.5 218.5 218.5 kozaiamp 180.0 180.0 180.0