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: 13SK100 # Created Tue Apr 16 01:14:56 2024 # Orbit generated from Bernstein formalism # Fitting 38 observations of 38 # Arc: 4.07y # First observation: 2013/08/04 # Last observation: 2017/08/30 Preliminary a, adot, b, bdot, g, gdot: -0.000151 0.020809 -0.000033 0.010231 0.022075 0.000000 # Chi-squared of fit: 11.38 DOF: 70 RMS: 0.10 # Min/Max residuals: -0.35 0.21 # Exact a, adot, b, bdot, g, gdot: 1.400483E-05 2.056920E-02 8.136434E-06 1.012781E-02 2.203371E-02 -1.011102E-03 # Covariance matrix: 1.1327E-13 -4.9339E-14 4.1034E-15 -1.1075E-14 6.7014E-14 -2.7018E-13 -4.9339E-14 1.9318E-13 -2.7829E-14 8.9696E-14 6.2950E-14 2.2423E-12 4.1034E-15 -2.7829E-14 6.3381E-14 -3.8185E-14 -1.0878E-14 -3.7423E-13 -1.1075E-14 8.9696E-14 -3.8185E-14 7.4630E-14 3.8341E-14 1.2096E-12 6.7014E-14 6.2950E-14 -1.0878E-14 3.8341E-14 1.4087E-13 9.6864E-13 -2.7018E-13 2.2423E-12 -3.7423E-13 1.2096E-12 9.6864E-13 3.0250E-11 # lat0 lon0 xBary yBary zBary JD0 -2.277484 13.661630 0.894731 -0.019141 -0.481974 2456508.998978 # Heliocentric elements and errors Epoch: 2456500.5000 = 2013/07/27 Mean Anomaly: 350.30740 +/- 0.035 Argument of Peri: 12.21453 +/- 0.063 Long of Asc Node: 17.11585 +/- 0.000 Inclination: 26.28091 +/- 0.000 Eccentricity: 0.26853057 +/- 0.0001 Semi-Major Axis: 62.11670391 +/- 0.0062 Time of Perihelion: 2461314.9732 +/- 17.2 Perihelion: 45.43647026 +/- 0.0070 Aphelion: 78.79693757 +/- 0.0095 Period (y) 489.5768 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 44.74594447 +/- 0.0008 Ecliptic Y 9.95853911 +/- 0.0002 Ecliptic Z -1.80314721 +/- 0.0000 Ecliptic XDOT -0.00068328 +/- 0.0000 Ecliptic YDOT 0.00246488 +/- 0.0000 Ecliptic ZDOT 0.00126259 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.87617451 +/- 0.0007 Geocenter to KBO 45.38500472 +/- 0.0008 # Hcoef: 7.55
The following table shows the complete astrometric record for 13SK100. 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 (13SK100) followed by the observatory code and reference code for the source of the astrometry.
2013 08 04.49820 00 53 49.712 +03 17 29.38 24.3r 13SK100 568 C~2NKL 2013 08 05.47365 00 53 48.048 +03 17 22.39 23.8r 13SK100 568 C~2NKL 2013 08 05.51257 00 53 47.967 +03 17 22.19 24.1r 13SK100 568 C~2NKL 2013 08 08.45262 00 53 42.597 +03 16 58.07 24.2r 13SK100 568 C~2NKL 2013 08 08.49147 00 53 42.510 +03 16 57.52 24.0r 13SK100 568 C~2NKL 2013 09 01.42327 00 52 37.748 +03 11 43.01 24.1r 13SK100 568 C~2NKL 2013 09 01.46210 00 52 37.605 +03 11 42.37 23.9r 13SK100 568 C~2NKL 2013 09 05.40278 00 52 23.888 +03 10 33.78 24.1r 13SK100 568 C~2NKL 2013 09 05.44158 00 52 23.747 +03 10 32.85 24.2r 13SK100 568 C~2NKL 2013 09 29.32343 00 50 48.768 +03 02 39.84 24.1r 13SK100 568 C~2NKL 2013 09 29.37258 00 50 48.546 +03 02 38.66 24.1r 13SK100 568 C~2NKL 2013 09 29.41164 00 50 48.374 +03 02 37.98 24.0r 13SK100 568 C~2NKL 2013 10 02.40208 00 50 35.613 +03 01 35.25 24.3r 13SK100 568 C~2NKL 2013 10 03.35740 00 50 31.525 +03 01 15.29 23.8r 13SK100 568 C~2NKL 2013 10 03.41811 00 50 31.266 +03 01 14.03 23.9r 13SK100 568 C~2NKL 2013 10 04.47974 00 50 26.703 +03 00 51.99 24.4r 13SK100 568 C~2NKL 2013 10 04.49010 00 50 26.648 +03 00 51.60 24.4r 13SK100 568 C~2NKL 2013 10 09.46022 00 50 05.310 +02 59 08.71 23.9r 13SK100 568 C~2NKL 2013 10 09.46522 00 50 05.290 +02 59 08.53 23.6r 13SK100 568 C~2NKL 2013 11 27.26350 00 47 09.235 +02 46 53.29 24.5r 13SK100 568 C~2NKL 2013 11 27.30798 00 47 09.129 +02 46 52.93 13SK100 568 C~2NKL 2013 12 05.22182 00 46 52.444 +02 46 17.26 24.2r 13SK100 568 C~2NKL 2014 06 25.57715 00 57 18.885 +04 14 38.39 24.4r 13SK100 568 C~2NKL 2014 06 26.57603 00 57 20.381 +04 14 51.38 24.0r 13SK100 568 C~2NKL 2014 07 23.56365 00 57 31.103 +04 17 38.63 24.2r 13SK100 568 C~2NKL 2014 07 27.54407 00 57 27.820 +04 17 33.34 23.9r 13SK100 568 C~2NKL 2014 08 22.54026 00 56 37.961 +04 14 09.73 24.6r 13SK100 568 C~2NKL 2014 08 27.61513 00 56 23.044 +04 12 59.77 24.1r 13SK100 568 C~2NKL 2014 10 23.29554 00 52 37.085 +03 54 51.44 24.0r 13SK100 568 C~2NKL 2014 10 27.26220 00 52 20.898 +03 53 37.50 24.2r 13SK100 568 C~2NKL 2014 11 24.25164 00 50 44.685 +03 47 04.07 24.2r 13SK100 568 C~2NKL 2014 11 25.24784 00 50 42.073 +03 46 55.27 24.2r 13SK100 568 C~2NKL 2015 01 18.23045 00 50 13.759 +03 51 22.34 24.3r 13SK100 568 C~2NKL 2015 08 20.52724 01 00 13.344 +05 14 28.02 24.0r 13SK100 568 C~2NKL 2017 07 23.62323 01 07 56.149 +07 15 30.23 13SK100 568 C~2NKL 2017 08 25.53214 01 07 00.034 +07 13 14.94 24.3w 13SK100 568 C~2NKL 2017 08 30.47385 01 06 45.266 +07 12 15.96 24.2w 13SK100 568 C~2NKL 2017 08 30.52649 01 06 45.105 +07 12 15.22 24.1w 13SK100 568 C~2NKL
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 0.16 0.00 -0.18
2 0.0027 -25.68 -0.00 3.20 0.06
3 0.0028 -26.88 -0.12 3.49 0.21
4 0.0108 -110.36 0.12 12.39 -0.02
5 0.0109 -111.78 -0.09 12.38 -0.16
6 0.0765 -1127.78 0.00 98.07 -0.02
7 0.0766 -1130.00 -0.11 98.31 0.05
8 0.0873 -1345.97 0.01 114.67 0.09
9 0.0875 -1348.28 -0.08 114.64 -0.13
10 0.1528 -2843.15 0.20 230.11 0.07
11 0.1530 -2846.68 0.01 230.31 -0.01
12 0.1531 -2849.32 0.02 230.68 0.13
13 0.1613 -3049.87 -0.02 247.00 -0.06
14 0.1639 -3114.07 0.01 252.36 -0.06
15 0.1641 -3118.13 0.09 252.70 -0.09
16 0.1670 -3189.70 0.09 258.90 0.05
17 0.1670 -3190.61 -0.12 258.86 -0.05
18 0.1806 -3525.21 0.05 288.04 0.08
19 0.1806 -3525.56 0.05 287.99 0.00
20 0.3142 -6243.16 -0.08 634.72 0.04
21 0.3143 -6244.77 -0.06 635.00 -0.05
22 0.3360 -6489.20 -0.10 699.32 -0.08
23 0.8900 4213.97 -0.01 1951.82 0.01
24 0.8928 4239.64 0.02 1955.16 -0.03
25 0.9666 4452.29 0.11 2047.54 0.17
26 0.9775 4404.93 -0.18 2061.63 0.12
27 1.0487 3638.03 -0.14 2161.89 0.08
28 1.0626 3405.11 0.06 2183.59 0.07
29 1.2178 -134.02 0.03 2488.29 0.08
30 1.2286 -386.01 0.08 2514.00 -0.02
31 1.3053 -1866.04 -0.11 2709.75 -0.08
32 1.3080 -1905.49 0.19 2716.81 -0.35
33 1.4558 -2192.52 -0.05 3127.50 -0.02
34 2.0425 8009.17 -0.03 4260.05 0.09
35 3.9675 17211.95 0.00 8339.58 0.08
36 4.0576 16382.78 -0.03 8533.22 -0.00
37 4.0711 16155.61 -0.02 8562.52 0.01
38 4.0713 16153.10 0.07 8562.75 -0.10
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.
13SK100 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 62.564 62.582 62.546 ecceobj 0.273 0.274 0.273 incobj 26.216 26.216 26.216 qmin 44.223 44.230 44.239 qmax 80.534 80.630 80.545 amean 61.977 61.995 61.960 amin 61.337 61.358 61.334 amax 62.751 62.768 62.741 emean 0.270 0.270 0.270 emin 0.257 0.257 0.257 emax 0.284 0.285 0.284 imean 26.149 26.147 26.150 imin 25.881 25.869 25.874 imax 26.460 26.468 26.466 excite_mean 0.517 0.517 0.517 fracstop 1.000 1.000 1.000 cjmean 2.966 2.966 2.966 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 181.1 181.1 181.1 kozaiamp 169.4 169.5 169.4