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: 13UP15 # Created Sun Nov 24 02:09:43 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 50 observations of 50 # Arc: 8.25y # First observation: 2013/08/30 # Last observation: 2021/12/01 # Chi-squared of fit: 10.86 DOF: 94 RMS: 0.08 # Min/Max residuals: -0.22 0.26 # Exact a, adot, b, bdot, g, gdot: 1.528288E-05 2.311027E-02 6.463339E-07 4.301882E-04 2.344438E-02 -5.661069E-04 # Covariance matrix: 1.1414E-13 -6.3792E-14 9.4529E-16 -1.3849E-15 4.7129E-14 -3.6556E-13 -6.3792E-14 1.0086E-13 -1.4372E-15 2.0855E-15 2.4797E-14 5.6621E-13 9.4529E-16 -1.4372E-15 4.3867E-14 -1.0944E-14 -1.9328E-16 -8.9131E-15 -1.3849E-15 2.0855E-15 -1.0944E-14 8.2231E-15 2.6026E-16 1.2947E-14 4.7129E-14 2.4797E-14 -1.9328E-16 2.6026E-16 1.0022E-13 8.6588E-14 -3.6556E-13 5.6621E-13 -8.9131E-15 1.2947E-14 8.6588E-14 3.5041E-12 # lat0 lon0 xBary yBary zBary JD0 -2.284224 17.736491 0.660723 -0.030445 -0.764388 2456534.953688 # Heliocentric elements and errors Epoch: 2456534.5000 = 2013/08/30 Mean Anomaly: 331.79687 +/- 0.051 Argument of Peri: 327.75841 +/- 0.061 Long of Asc Node: 82.17216 +/- 0.005 Inclination: 2.46922 +/- 0.000 Eccentricity: 0.08211279 +/- 0.0000 Semi-Major Axis: 46.72674234 +/- 0.0027 Time of Perihelion: 2465674.3998 +/- 19.0 Perihelion: 42.88987933 +/- 0.0032 Aphelion: 50.56360534 +/- 0.0036 Period (y) 319.4158 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.52391008 +/- 0.0006 Ecliptic Y 12.59065902 +/- 0.0002 Ecliptic Z -1.69999456 +/- 0.0000 Ecliptic XDOT -0.00088937 +/- 0.0000 Ecliptic YDOT 0.00254997 +/- 0.0000 Ecliptic ZDOT 0.00005297 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.42409698 +/- 0.0005 Geocenter to KBO 42.65419792 +/- 0.0006 # Hcoef: 7.45
The following table shows the complete astrometric record for 13UP15. 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 (13UP15) followed by the observatory code and reference code for the source of the astrometry.
2013 08 30.45291 01 08 54.984 +04 50 53.22 23.6r 13UP15 568 C~2NKU 2013 08 30.45765 01 08 54.957 +04 50 53.09 24.0r 13UP15 568 C~2NKU 2013 08 31.45558 01 08 51.885 +04 50 32.18 23.6r 13UP15 568 C~2NKU 2013 08 31.52122 01 08 51.686 +04 50 30.78 23.3r 13UP15 568 C~2NKU 2013 09 04.43540 01 08 39.046 +04 49 05.81 23.9r 13UP15 568 C~2NKU 2013 09 04.51028 01 08 38.787 +04 49 04.28 23.7r 13UP15 568 C~2NKU 2013 10 06.41689 01 06 32.074 +04 35 35.40 23.9r 13UP15 568 C~2NKU 2013 10 09.54662 01 06 18.384 +04 34 11.52 23.7r 13UP15 568 C~2NKU 2013 10 31.25837 01 04 45.658 +04 24 58.96 23.5r 13UP15 568 C~25nm 2013 10 31.30132 01 04 45.480 +04 24 58.00 23.7r 13UP15 568 C~25nm 2013 10 31.34404 01 04 45.306 +04 24 56.92 23.6r 13UP15 568 C~25nm 2013 11 01.28510 01 04 41.518 +04 24 35.13 24.0r 13UP15 568 C~2NKU 2013 11 01.41360 01 04 40.988 +04 24 32.09 23.7r 13UP15 568 C~2NKU 2013 11 05.46270 01 04 25.049 +04 23 00.75 23.8r 13UP15 568 C~2NKU 2013 12 04.27516 01 02 56.146 +04 15 05.79 24.0r 13UP15 568 C~2NKU 2013 12 04.32732 01 02 56.039 +04 15 05.16 24.2r 13UP15 568 C~2NKU 2013 12 06.22106 01 02 52.129 +04 14 47.22 23.9r 13UP15 568 C~2NKU 2014 06 27.60950 01 14 24.924 +05 29 09.80 23.8r 13UP15 568 C~2NKU 2014 06 29.58512 01 14 28.790 +05 29 27.37 23.7r 13UP15 568 C~2NKU 2014 07 24.56867 01 14 49.878 +05 30 18.82 23.7r 13UP15 568 C~2NKU 2014 07 27.59948 01 14 48.880 +05 30 03.65 23.9r 13UP15 568 C~2NKU 2014 08 24.51225 01 14 05.348 +05 24 23.02 23.3r 13UP15 568 C~2NKU 2014 08 28.49059 01 13 54.515 +05 23 08.29 23.7r 13UP15 568 C~2NKU 2014 08 29.52684 01 13 51.524 +05 22 47.87 23.9r 13UP15 568 C~2NKU 2014 08 29.61463 01 13 51.259 +05 22 46.16 23.8r 13UP15 568 C~2NKU 2014 10 23.28255 01 10 13.917 +05 00 04.92 23.6r 13UP15 568 C~2NKU 2014 10 23.33619 01 10 13.680 +05 00 03.28 23.7r 13UP15 568 C~2NKU 2014 10 23.38966 01 10 13.436 +05 00 01.81 24.0r 13UP15 568 C~2NKU 2014 10 23.39470 01 10 13.416 +05 00 01.93 24.1r 13UP15 568 C~2NKU 2014 10 25.25994 01 10 05.444 +04 59 15.03 23.7r 13UP15 568 C~2NKU 2014 10 25.35102 01 10 05.065 +04 59 12.72 23.7r 13UP15 568 C~2NKU 2014 10 25.36233 01 10 05.014 +04 59 12.51 23.8r 13UP15 568 C~2NKU 2014 10 25.46195 01 10 04.567 +04 59 10.03 24.0r 13UP15 568 C~2NKU 2014 10 27.24998 01 09 57.010 +04 58 25.74 23.5r 13UP15 568 C~2NKU 2014 10 27.30820 01 09 56.760 +04 58 24.34 23.7r 13UP15 568 C~2NKU 2014 10 27.37469 01 09 56.474 +04 58 22.62 23.8r 13UP15 568 C~2NKU 2014 10 29.26294 01 09 48.568 +04 57 36.63 23.8r 13UP15 568 C~2NKU 2014 11 24.24388 01 08 13.887 +04 48 50.45 23.8r 13UP15 568 C~2NKU 2014 11 25.24005 01 08 10.973 +04 48 35.24 24.2r 13UP15 568 C~2NKU 2014 12 17.25485 01 07 24.736 +04 45 01.35 24.1r 13UP15 568 C~2NKU 2015 01 17.23854 01 07 28.669 +04 47 19.64 23.8r 13UP15 568 C~2NKU 2015 08 20.51066 01 19 08.590 +05 56 52.90 23.8r 13UP15 568 C~2NKU 2015 10 15.30155 01 15 44.697 +05 35 16.35 23.3r 13UP15 568 C~2NKU 2015 10 15.30564 01 15 44.675 +05 35 16.23 23.5r 13UP15 568 C~2NKU 2015 10 15.35250 01 15 44.468 +05 35 15.03 23.3r 13UP15 568 C~2NKU 2015 10 15.35660 01 15 44.449 +05 35 14.89 23.4r 13UP15 568 C~2NKU 2015 12 07.37779 01 12 32.778 +05 17 32.62 23.9w 13UP15 568 C~2NKU 2021 12 01.080090 01 42 23.769 +08 25 08.19 23.9G 13UP15 G37 C~5J5W 2021 12 01.131970 01 42 23.594 +08 25 07.34 13UP15 G37 C~5J5W 2021 12 01.183850 01 42 23.438 +08 25 07.01 13UP15 G37 C~5J5W
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 0.09 0.00 -0.04
2 0.0000 0.00 -0.10 0.00 -0.08
3 0.0027 0.00 -0.00 0.00 -0.08
4 0.0029 0.00 0.16 0.00 -0.10
5 0.0136 0.00 0.09 0.00 -0.03
6 0.0138 0.00 0.04 0.00 0.10
7 0.1012 0.00 -0.05 0.00 -0.05
8 0.1098 0.00 -0.22 0.00 -0.12
9 0.1692 0.00 0.07 0.00 -0.05
10 0.1693 0.00 0.06 0.00 -0.01
11 0.1694 0.00 0.09 0.00 -0.09
12 0.1720 0.00 0.10 0.00 0.04
13 0.1724 0.00 0.03 0.00 -0.03
14 0.1835 0.00 0.09 0.00 -0.03
15 0.2623 0.00 -0.13 0.00 0.00
16 0.2625 0.00 0.00 0.00 -0.10
17 0.2677 0.00 -0.04 0.00 0.04
18 0.8245 0.00 0.02 0.00 0.05
19 0.8299 0.00 -0.01 0.00 0.01
20 0.8983 0.00 -0.00 0.00 -0.02
21 0.9066 0.00 -0.01 0.00 0.05
22 0.9831 0.00 0.00 0.00 0.01
23 0.9939 0.00 -0.03 0.00 0.02
24 0.9968 0.00 -0.03 0.00 -0.03
25 0.9970 0.00 -0.05 0.00 0.01
26 1.1467 0.00 0.06 0.00 0.21
27 1.1468 0.00 0.02 0.00 -0.07
28 1.1470 0.00 -0.12 0.00 -0.19
29 1.1470 0.00 -0.09 0.00 0.05
30 1.1521 0.00 -0.05 0.00 0.04
31 1.1524 0.00 0.18 0.00 0.00
32 1.1524 0.00 0.16 0.00 0.07
33 1.1527 0.00 -0.07 0.00 0.08
34 1.1576 0.00 0.02 0.00 0.06
35 1.1577 0.00 0.01 0.00 0.09
36 1.1579 0.00 -0.00 0.00 -0.00
37 1.1631 0.00 -0.02 0.00 -0.00
38 1.2342 0.00 -0.08 0.00 0.12
39 1.2369 0.00 0.00 0.00 0.08
40 1.2972 0.00 -0.07 0.00 -0.04
41 1.3820 0.00 -0.03 0.00 -0.01
42 1.9714 0.00 -0.09 0.00 0.07
43 2.1242 0.00 0.02 0.00 0.02
44 2.1242 0.00 -0.03 0.00 0.01
45 2.1243 0.00 0.01 0.00 0.04
46 2.1243 0.00 -0.00 0.00 0.00
47 2.2695 0.00 0.06 0.00 0.07
48 8.2536 0.00 0.03 0.00 -0.16
49 8.2537 0.00 -0.09 0.00 -0.21
50 8.2539 0.00 0.08 0.00 0.26
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.
13UP15 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 47.003 47.003 47.003 ecceobj 0.086 0.086 0.086 incobj 2.470 2.470 2.470 qmin 42.042 42.041 42.044 qmax 51.531 51.558 51.514 amean 46.668 46.668 46.668 amin 46.283 46.293 46.283 amax 47.073 47.079 47.077 emean 0.083 0.083 0.083 emin 0.070 0.070 0.070 emax 0.095 0.095 0.095 imean 1.010 1.010 1.010 imin 0.620 0.620 0.620 imax 1.360 1.359 1.360 excite_mean 0.085 0.085 0.085 fracstop 1.000 1.000 1.000 cjmean 3.126 3.126 3.126 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 151.9 151.9 151.9 kozaiamp 180.0 180.0 180.0