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: 13UZ16 # Created Sun Dec 22 02:09:47 2024 # Orbit generated from Bernstein formalism # Fitting 40 observations of 40 # Arc: 4.05y # First observation: 2013/08/11 # Last observation: 2017/08/30 Preliminary a, adot, b, bdot, g, gdot: -0.000176 0.020224 -0.000036 0.003948 0.022598 0.000000 # Chi-squared of fit: 14.00 DOF: 74 RMS: 0.10 # Min/Max residuals: -0.47 0.22 # Exact a, adot, b, bdot, g, gdot: 1.487117E-05 1.973001E-02 3.526789E-06 3.850682E-03 2.240666E-02 -5.410209E-03 # Covariance matrix: 1.3648E-13 -3.9220E-14 8.8484E-16 -1.1943E-15 8.1364E-14 -6.5923E-14 -3.9220E-14 1.3864E-13 -8.8535E-15 2.5344E-14 4.8193E-14 1.6690E-12 8.8484E-16 -8.8535E-15 6.0679E-14 -2.6339E-14 -4.0668E-15 -1.3036E-13 -1.1943E-15 2.5344E-14 -2.6339E-14 3.0512E-14 1.3215E-14 3.7589E-13 8.1364E-14 4.8193E-14 -4.0668E-15 1.3215E-14 1.2346E-13 8.8525E-13 -6.5923E-14 1.6690E-12 -1.3036E-13 3.7589E-13 8.8525E-13 2.4780E-11 # lat0 lon0 xBary yBary zBary JD0 -1.751500 15.389787 0.848437 -0.017005 -0.557229 2456516.004448 # Heliocentric elements and errors Epoch: 2456510.5000 = 2013/08/06 Mean Anomaly: 283.97013 +/- 0.034 Argument of Peri: 99.26115 +/- 0.014 Long of Asc Node: 23.08583 +/- 0.000 Inclination: 11.20288 +/- 0.000 Eccentricity: 0.27985787 +/- 0.0002 Semi-Major Axis: 44.75027982 +/- 0.0061 Time of Perihelion: 2479603.1525 +/- 9.1 Perihelion: 32.22656163 +/- 0.0108 Aphelion: 57.27399801 +/- 0.0126 Period (y) 299.3656 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.77156673 +/- 0.0007 Ecliptic Y 11.17153219 +/- 0.0002 Ecliptic Z -1.36389368 +/- 0.0000 Ecliptic XDOT -0.00126921 +/- 0.0000 Ecliptic YDOT 0.00215191 +/- 0.0000 Ecliptic ZDOT 0.00049064 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.19528063 +/- 0.0007 Geocenter to KBO 44.62958483 +/- 0.0007 # Hcoef: 7.75
The following table shows the complete astrometric record for 13UZ16. 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 (13UZ16) followed by the observatory code and reference code for the source of the astrometry.
2013 08 11.50367 00 59 24.148 +04 26 35.76 24.4r 13UZ16 568 C~2NKX 2013 08 30.42008 00 58 34.186 +04 21 33.36 24.8r 13UZ16 568 C~2NKX 2013 08 31.42413 00 58 30.927 +04 21 13.77 24.6r 13UZ16 568 C~2NKX 2013 08 31.46730 00 58 30.775 +04 21 12.90 24.1r 13UZ16 568 C~2NKX 2013 09 04.40430 00 58 17.525 +04 19 53.83 24.0r 13UZ16 568 C~2NKX 2013 09 04.44707 00 58 17.366 +04 19 52.66 23.8r 13UZ16 568 C~2NKX 2013 10 05.37632 00 56 13.537 +04 07 48.76 24.0r 13UZ16 568 C~2NKX 2013 10 06.37972 00 56 09.185 +04 07 23.97 24.4r 13UZ16 568 C~2NKX 2013 10 06.44410 00 56 08.903 +04 07 22.33 24.3r 13UZ16 568 C~2NKX 2013 10 09.50879 00 55 55.645 +04 06 06.63 24.1r 13UZ16 568 C~2NKX 2013 10 31.22708 00 54 24.803 +03 57 42.11 23.9r 13UZ16 568 C~2NKX 2013 10 31.27019 00 54 24.634 +03 57 41.21 24.2r 13UZ16 568 C~2NKX 2013 10 31.31297 00 54 24.463 +03 57 40.32 24.3r 13UZ16 568 C~2NKX 2013 11 01.25343 00 54 20.788 +03 57 20.44 24.8r 13UZ16 568 C~2NKX 2013 11 01.37273 00 54 20.337 +03 57 17.99 24.4r 13UZ16 568 C~2NKX 2013 11 02.22554 00 54 17.046 +03 57 00.13 24.8r 13UZ16 568 C~2NKX 2013 11 05.37780 00 54 05.086 +03 55 56.60 24.3r 13UZ16 568 C~2NKX 2013 11 06.39952 00 54 01.294 +03 55 36.68 23.9r 13UZ16 568 C~2NKX 2013 11 06.40464 00 54 01.279 +03 55 36.60 23.7r 13UZ16 568 C~2NKX 2013 11 07.43574 00 53 57.500 +03 55 16.77 24.4r 13UZ16 568 C~2NKX 2013 12 04.24324 00 52 40.299 +03 49 03.75 24.1r 13UZ16 568 C~2NKX 2013 12 04.29069 00 52 40.190 +03 49 03.27 24.1r 13UZ16 568 C~2NKX 2014 06 27.57448 01 03 25.594 +05 05 52.44 24.0r 13UZ16 568 C~2NKX 2014 06 28.57952 01 03 27.163 +05 06 02.26 24.0r 13UZ16 568 C~2NKX 2014 07 24.53752 01 03 39.584 +05 07 22.59 24.5r 13UZ16 568 C~2NKX 2014 07 27.56807 01 03 37.490 +05 07 10.25 24.1r 13UZ16 568 C~2NKX 2014 08 22.61348 01 02 51.001 +05 02 33.53 24.1r 13UZ16 568 C~2NKX 2014 08 28.45040 01 02 34.212 +05 00 54.74 24.3r 13UZ16 568 C~2NKX 2014 10 23.37571 00 58 50.213 +04 39 29.64 24.0r 13UZ16 568 C~2NKX 2014 10 27.41437 00 58 33.399 +04 37 57.22 24.0r 13UZ16 568 C~2NKX 2014 11 24.27889 00 56 54.747 +04 29 22.75 24.5r 13UZ16 568 C~2NKX 2014 11 25.30520 00 56 51.898 +04 29 09.37 24.5r 13UZ16 568 C~2NKX 2015 01 17.27935 00 56 17.107 +04 29 26.03 24.7r 13UZ16 568 C~2NKX 2015 08 20.53131 01 06 52.620 +05 42 03.77 24.2r 13UZ16 568 C~2NKX 2015 12 07.36957 01 00 16.615 +05 05 53.09 24.6w 13UZ16 568 C~2NKX 2015 12 07.37370 01 00 16.605 +05 05 53.01 24.6w 13UZ16 568 C~2NKX 2017 07 24.59587 01 15 29.563 +07 03 54.78 24.3w 13UZ16 568 C~2NKX 2017 08 25.52748 01 14 39.033 +06 59 32.35 24.2w 13UZ16 568 C~2NKX 2017 08 30.46920 01 14 24.676 +06 58 13.27 24.5w 13UZ16 568 C~2NKX 2017 08 30.52183 01 14 24.509 +06 58 12.47 24.4w 13UZ16 568 C~2NKX
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 -0.20 0.00 -0.17
2 0.0518 -806.05 0.22 8.41 0.02
3 0.0545 -858.58 0.06 9.10 -0.03
4 0.0547 -861.01 -0.06 9.17 -0.01
5 0.0654 -1074.36 0.09 12.49 0.13
6 0.0656 -1077.01 -0.13 12.32 -0.09
7 0.1502 -3065.50 0.14 58.09 0.05
8 0.1530 -3135.15 -0.08 60.32 0.15
9 0.1532 -3139.67 -0.08 60.44 0.10
10 0.1615 -3351.93 -0.11 67.10 -0.06
11 0.2210 -4801.17 -0.12 126.26 0.10
12 0.2211 -4803.85 -0.08 126.41 0.10
13 0.2212 -4806.55 -0.08 126.57 0.11
14 0.2238 -4864.99 -0.20 129.47 0.05
15 0.2241 -4872.17 0.11 129.82 -0.04
16 0.2265 -4924.52 0.02 132.36 -0.18
17 0.2351 -5114.26 0.06 142.89 -0.09
18 0.2379 -5174.33 0.00 146.43 0.00
19 0.2379 -5174.57 0.07 146.45 -0.00
20 0.2407 -5234.43 0.00 150.00 0.03
21 0.3141 -6445.17 0.21 252.51 -0.04
22 0.3143 -6446.87 0.03 252.70 -0.08
23 0.8763 4238.01 0.10 790.16 0.08
24 0.8791 4263.44 0.14 790.24 0.04
25 0.9501 4465.72 -0.06 793.32 0.05
26 0.9584 4432.08 -0.19 793.91 0.03
27 1.0297 3684.18 0.07 804.61 -0.47
28 1.0457 3414.53 0.12 809.59 0.03
29 1.1988 -170.60 -0.07 909.55 0.09
30 1.2099 -438.19 0.03 921.00 -0.01
31 1.2862 -1997.71 0.07 1014.46 -0.05
32 1.2890 -2042.18 -0.01 1018.54 0.17
33 1.4340 -2515.87 -0.01 1234.53 0.05
34 2.0233 7928.65 0.01 1613.86 0.01
35 2.3213 1630.51 -0.02 1874.60 -0.02
36 2.3213 1630.34 -0.06 1874.58 -0.06
37 3.9510 16958.32 0.01 3233.36 -0.05
38 4.0384 16157.50 0.02 3274.69 -0.03
39 4.0519 15928.31 -0.02 3282.31 0.01
40 4.0521 15925.69 -0.01 3282.51 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.
13UZ16 quality flag:1 Type: CENTAURS CENTAURR SCATNEAR axisobj 44.941 44.958 44.925 ecceobj 0.277 0.277 0.276 incobj 11.169 11.169 11.169 qmin 29.958 30.026 30.977 qmax 67.083 63.494 61.838 amean 45.877 44.025 44.005 amin 41.597 42.229 42.368 amax 49.106 47.083 46.846 emean 0.311 0.281 0.248 emin 0.252 0.234 0.174 emax 0.368 0.349 0.322 imean 11.525 11.188 9.858 imin 6.081 9.999 7.412 imax 15.309 12.756 12.568 excite_mean 0.372 0.342 0.302 fracstop 1.000 0.353 1.000 cjmean 2.951 2.955 2.985 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 169.9 170.7 184.3 kozaiamp 179.9 179.9 179.9