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: 13US15 # Created Sun Dec 22 02:09:47 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 41 observations of 41 # Arc: 6.23y # First observation: 2013/08/02 # Last observation: 2019/10/26 # Chi-squared of fit: 8.73 DOF: 76 RMS: 0.08 # Min/Max residuals: -0.34 0.18 # Exact a, adot, b, bdot, g, gdot: 1.718560E-05 3.224621E-02 -5.429630E-07 -8.796273E-04 2.935754E-02 -5.987278E-04 # Covariance matrix: 1.2761E-13 -6.1447E-14 -3.0707E-16 1.8049E-15 6.4413E-14 -2.9797E-13 -6.1447E-14 1.8921E-13 2.8356E-15 -5.8800E-15 4.6982E-14 1.0049E-12 -3.0707E-16 2.8356E-15 4.8979E-14 -1.6498E-14 1.2968E-15 1.6566E-14 1.8049E-15 -5.8800E-15 -1.6498E-14 1.9551E-14 -1.3434E-15 -3.4902E-14 6.4413E-14 4.6982E-14 1.2968E-15 -1.3434E-15 1.0155E-13 2.4169E-13 -2.9797E-13 1.0049E-12 1.6566E-14 -3.4902E-14 2.4169E-13 5.9600E-12 # lat0 lon0 xBary yBary zBary JD0 -1.245196 18.026895 0.942117 -0.008279 -0.382314 2456507.040418 # Heliocentric elements and errors Epoch: 2456506.5000 = 2013/08/02 Mean Anomaly: 321.83340 +/- 0.049 Argument of Peri: 261.35631 +/- 0.059 Long of Asc Node: 158.84432 +/- 0.004 Inclination: 2.01585 +/- 0.000 Eccentricity: 0.07295276 +/- 0.0000 Semi-Major Axis: 36.46960311 +/- 0.0017 Time of Perihelion: 2465035.0654 +/- 12.0 Perihelion: 33.80904499 +/- 0.0023 Aphelion: 39.13016124 +/- 0.0025 Period (y) 220.2443 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.03800403 +/- 0.0004 Ecliptic Y 9.76423689 +/- 0.0001 Ecliptic Z -0.74019844 +/- 0.0000 Ecliptic XDOT -0.00099164 +/- 0.0000 Ecliptic YDOT 0.00284097 +/- 0.0000 Ecliptic ZDOT -0.00008066 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 34.45866902 +/- 0.0003 Geocenter to KBO 34.06283849 +/- 0.0004 # Hcoef: 7.87
The following table shows the complete astrometric record for 13US15. 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 (13US15) followed by the observatory code and reference code for the source of the astrometry.
2013 08 02.53964 01 08 24.459 +05 55 10.09 23.2r 13US15 568 C~2NKV 2013 08 02.58233 01 08 24.400 +05 55 09.60 23.1r 13US15 568 C~2NKV 2013 08 30.46168 01 07 12.608 +05 46 39.09 23.4r 13US15 568 C~2NKV 2013 08 30.46636 01 07 12.582 +05 46 38.87 23.2r 13US15 568 C~2NKV 2013 08 30.47107 01 07 12.565 +05 46 39.00 23.3r 13US15 568 C~2NKV 2013 08 30.47584 01 07 12.534 +05 46 38.93 23.2r 13US15 568 C~2NKV 2013 08 31.45951 01 07 08.803 +05 46 13.76 23.0r 13US15 568 C~2NKV 2013 08 31.52510 01 07 08.544 +05 46 12.09 23.1r 13US15 568 C~2NKV 2013 10 06.41277 01 04 15.658 +05 27 35.11 13US15 568 C~2NKV 2013 10 06.50014 01 04 15.176 +05 27 32.20 23.0r 13US15 568 C~2NKV 2013 10 06.50554 01 04 15.147 +05 27 31.91 22.9r 13US15 568 C~2NKV 2013 10 06.51103 01 04 15.108 +05 27 31.83 22.9r 13US15 568 C~2NKV 2013 10 06.51584 01 04 15.081 +05 27 31.69 23.0r 13US15 568 C~2NKV 2013 10 09.54274 01 03 58.717 +05 25 48.56 23.2r 13US15 568 C~2NKV 2013 10 31.25446 01 02 04.350 +05 13 59.17 23.5r 13US15 568 C~2Gdq 2013 10 31.29744 01 02 04.135 +05 13 57.87 23.0r 13US15 568 C~2Gdq 2013 10 31.34016 01 02 03.920 +05 13 56.59 23.1r 13US15 568 C~2Gdq 2013 11 01.28119 01 01 59.268 +05 13 28.20 23.3r 13US15 568 C~2NKV 2013 11 01.40856 01 01 58.627 +05 13 24.33 23.0r 13US15 568 C~2NKV 2013 11 05.45881 01 01 39.097 +05 11 25.55 22.9r 13US15 568 C~2NKV 2013 11 29.32101 01 00 05.676 +05 02 10.68 23.7r 13US15 568 C~2NKV 2013 11 29.32791 01 00 05.628 +05 02 10.36 23.4r 13US15 568 C~2NKV 2013 12 04.27126 00 59 52.129 +05 00 54.06 23.2r 13US15 568 C~2NKV 2013 12 04.32344 00 59 51.999 +05 00 53.22 23.4r 13US15 568 C~2NKV 2014 06 27.61338 01 14 52.035 +06 33 06.42 23.5r 13US15 568 C~2NKV 2014 06 29.58900 01 14 57.202 +06 33 32.10 23.4r 13US15 568 C~2NKV 2014 07 24.57262 01 15 27.643 +06 35 22.93 23.3r 13US15 568 C~2NKV 2014 07 27.60338 01 15 26.852 +06 35 09.23 23.1r 13US15 568 C~2NKV 2014 08 22.60340 01 14 41.770 +06 29 24.73 23.2r 13US15 568 C~2NKV 2014 08 23.57976 01 14 38.835 +06 29 04.66 23.1r 13US15 568 C~2NKV 2014 08 28.44260 01 14 22.972 +06 27 16.61 23.1r 13US15 568 C~2NKV 2014 10 23.34848 01 09 50.070 +05 58 24.71 23.0r 13US15 568 C~2NKV 2014 10 26.44393 01 09 33.707 +05 56 44.87 23.2r 13US15 568 C~2NKV 2014 10 27.38720 01 09 28.784 +05 56 14.91 22.9r 13US15 568 C~2NKV 2014 11 19.19777 01 07 41.955 +05 45 35.53 23.1r 13US15 568 C~2NKV 2014 11 19.26507 01 07 41.682 +05 45 33.91 23.3r 13US15 568 C~2NKV 2014 11 25.21441 01 07 19.298 +05 43 23.80 23.6r 13US15 568 C~2NKV 2014 12 17.23891 01 06 24.187 +05 38 21.20 23.4r 13US15 568 C~2NKV 2015 01 18.22533 01 06 36.301 +05 40 40.06 23.3r 13US15 568 C~2NKV 2019 10 26.241320 01 45 29.069 +09 13 13.95 23.1G 13US15 G37 C~3clS 2019 10 26.332720 01 45 28.558 +09 13 11.03 13US15 G37 C~3clS
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 0.03 0.00 0.03
2 0.0001 0.00 0.01 0.00 -0.02
3 0.0764 0.00 0.11 0.00 -0.12
4 0.0765 0.00 -0.01 0.00 -0.22
5 0.0765 0.00 0.01 0.00 0.03
6 0.0765 0.00 -0.18 0.00 0.08
7 0.0792 0.00 0.01 0.00 0.03
8 0.0794 0.00 0.01 0.00 0.04
9 0.1776 0.00 0.01 0.00 -0.00
10 0.1779 0.00 -0.01 0.00 0.06
11 0.1779 0.00 -0.00 0.00 -0.04
12 0.1779 0.00 -0.14 0.00 0.06
13 0.1779 0.00 -0.15 0.00 0.09
14 0.1862 0.00 -0.04 0.00 -0.06
15 0.2456 0.00 0.13 0.00 -0.03
16 0.2457 0.00 0.16 0.00 -0.03
17 0.2459 0.00 0.18 0.00 -0.02
18 0.2484 0.00 0.09 0.00 0.02
19 0.2488 0.00 0.07 0.00 -0.03
20 0.2599 0.00 -0.00 0.00 0.02
21 0.3252 0.00 0.06 0.00 0.05
22 0.3252 0.00 -0.34 0.00 -0.16
23 0.3388 0.00 -0.04 0.00 0.16
24 0.3389 0.00 0.04 0.00 0.05
25 0.9010 0.00 -0.04 0.00 0.07
26 0.9064 0.00 -0.10 0.00 0.07
27 0.9748 0.00 0.04 0.00 -0.01
28 0.9831 0.00 0.08 0.00 -0.03
29 1.0542 0.00 -0.04 0.00 -0.06
30 1.0569 0.00 0.05 0.00 0.13
31 1.0702 0.00 -0.00 0.00 -0.01
32 1.2233 0.00 0.03 0.00 -0.01
33 1.2318 0.00 0.02 0.00 -0.05
34 1.2344 0.00 0.04 0.00 -0.01
35 1.2968 0.00 0.01 0.00 0.07
36 1.2970 0.00 0.04 0.00 0.02
37 1.3133 0.00 -0.03 0.00 -0.05
38 1.3736 0.00 -0.07 0.00 -0.09
39 1.4612 0.00 0.03 0.00 -0.00
40 6.2305 0.00 -0.05 0.00 0.02
41 6.2308 0.00 0.05 0.00 -0.01
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.
13US15 quality flag:3 Type: 4:3E 4:3E 4:3E axisobj 36.635 36.635 36.635 ecceobj 0.075 0.075 0.075 incobj 2.011 2.011 2.011 qmin 33.231 33.232 33.230 qmax 40.099 40.123 40.084 amean 36.484 36.484 36.484 amin 36.092 36.085 36.092 amax 36.897 36.896 36.905 emean 0.066 0.066 0.066 emin 0.043 0.043 0.043 emax 0.089 0.088 0.088 imean 1.359 1.359 1.360 imin 1.005 1.000 1.019 imax 1.678 1.677 1.678 excite_mean 0.071 0.071 0.071 fracstop 1.000 1.000 1.000 cjmean 3.022 3.022 3.022 libcent 0 181.5 180.1 181.2 libamp 0 103.8 105.2 104.2 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 181.1 180.9 180.7 kozaiamp 180.0 180.0 180.0