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: 13UN15 # Created Sun Nov 24 02:09:43 2024 # Orbit generated from Bernstein formalism # Fitting 44 observations of 44 # Arc: 3.98y # First observation: 2013/08/02 # Last observation: 2017/07/24 Preliminary a, adot, b, bdot, g, gdot: -0.000115 0.020944 -0.000005 -0.001049 0.022381 0.000000 # Chi-squared of fit: 19.26 DOF: 82 RMS: 0.12 # Min/Max residuals: -0.63 0.39 # Exact a, adot, b, bdot, g, gdot: 1.493502E-05 2.088137E-02 -6.975663E-07 -1.047925E-03 2.237944E-02 1.572144E-03 # Covariance matrix: 1.1032E-13 -2.2453E-14 9.3013E-16 -5.9574E-16 7.0761E-14 1.4963E-13 -2.2453E-14 1.2660E-13 2.2905E-15 -5.7432E-15 6.5635E-14 1.8112E-12 9.3013E-16 2.2905E-15 5.9927E-14 -3.4011E-14 2.5732E-15 4.8190E-14 -5.9574E-16 -5.7432E-15 -3.4011E-14 4.3032E-14 -4.2566E-15 -1.2425E-13 7.0761E-14 6.5635E-14 2.5732E-15 -4.2566E-15 1.2950E-13 1.2940E-12 1.4963E-13 1.8112E-12 4.8190E-14 -1.2425E-13 1.2940E-12 3.9258E-11 # lat0 lon0 xBary yBary zBary JD0 -1.709276 17.484968 0.938538 -0.011637 -0.390941 2456507.028758 # Heliocentric elements and errors Epoch: 2456500.5000 = 2013/07/27 Mean Anomaly: 83.79190 +/- 0.059 Argument of Peri: 120.50321 +/- 0.049 Long of Asc Node: 166.07434 +/- 0.005 Inclination: 3.36272 +/- 0.000 Eccentricity: 0.05193742 +/- 0.0003 Semi-Major Axis: 45.21695392 +/- 0.0029 Time of Perihelion: 2430651.1329 +/- 17.9 Perihelion: 42.86850187 +/- 0.0138 Aphelion: 47.56540598 +/- 0.0138 Period (y) 304.0606 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.25509509 +/- 0.0007 Ecliptic Y 12.64502582 +/- 0.0002 Ecliptic Z -1.33282270 +/- 0.0000 Ecliptic XDOT -0.00059405 +/- 0.0000 Ecliptic YDOT 0.00249234 +/- 0.0000 Ecliptic ZDOT -0.00013374 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.08521205 +/- 0.0007 Geocenter to KBO 44.68386262 +/- 0.0007 # Hcoef: 7.29
The following table shows the complete astrometric record for 13UN15. 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 (13UN15) followed by the observatory code and reference code for the source of the astrometry.
2013 08 02.52798 01 07 06.250 +05 17 02.80 23.9r 13UN15 568 C~2NKU 2013 08 02.57069 01 07 06.200 +05 17 02.41 24.2r 13UN15 568 C~2NKU 2013 08 30.44360 01 06 07.590 +05 09 47.12 23.8r 13UN15 568 C~2NKU 2013 08 31.44775 01 06 04.540 +05 09 25.96 23.8r 13UN15 568 C~2NKU 2013 08 31.49065 01 06 04.416 +05 09 25.02 24.0r 13UN15 568 C~2NKU 2013 08 31.50871 01 06 04.355 +05 09 24.57 23.8r 13UN15 568 C~2NKU 2013 09 04.42758 01 05 51.955 +05 07 59.60 23.8r 13UN15 568 C~2NKU 2013 09 04.47051 01 05 51.797 +05 07 58.52 23.8r 13UN15 568 C~2NKU 2013 09 04.47904 01 05 51.797 +05 07 58.34 23.7r 13UN15 568 C~2NKU 2013 09 04.49657 01 05 51.738 +05 07 58.42 23.9r 13UN15 568 C~2NKU 2013 09 04.50244 01 05 51.692 +05 07 57.85 24.1r 13UN15 568 C~2NKU 2013 09 04.52303 01 05 51.620 +05 07 57.24 24.1r 13UN15 568 C~2NKU 2013 10 06.40889 01 03 48.506 +04 54 29.71 23.6r 13UN15 568 C~2NKU 2013 10 06.49158 01 03 48.144 +04 54 27.42 23.5r 13UN15 568 C~2NKU 2013 10 06.49617 01 03 48.129 +04 54 27.44 23.4r 13UN15 568 C~25nm 2013 10 09.53885 01 03 35.239 +04 53 05.41 23.7r 13UN15 568 C~2NKU 2013 10 31.25056 01 02 05.906 +04 43 49.00 24.0r 13UN15 568 C~25nm 2013 10 31.29355 01 02 05.728 +04 43 47.91 23.3r 13UN15 568 C~25nm 2013 10 31.33628 01 02 05.557 +04 43 46.98 23.5r 13UN15 568 C~25nm 2013 11 01.27683 01 02 01.927 +04 43 24.70 24.0r 13UN15 568 C~2NKU 2013 11 01.40318 01 02 01.439 +04 43 21.82 24.4r 13UN15 568 C~2NKU 2013 11 05.45493 01 01 46.118 +04 41 48.70 23.7r 13UN15 568 C~2NKU 2013 11 29.31710 01 00 32.178 +04 34 33.91 24.0r 13UN15 568 C~2NKU 2013 12 04.26738 01 00 21.234 +04 33 33.30 23.4r 13UN15 568 C~2NKU 2013 12 04.31956 01 00 21.135 +04 33 32.62 24.1r 13UN15 568 C~2NKU 2014 06 27.59782 01 11 22.524 +05 41 16.43 23.8r 13UN15 568 C~2NKU 2014 06 28.60286 01 11 24.369 +05 41 24.40 24.1r 13UN15 568 C~2NKU 2014 07 24.56087 01 11 44.118 +05 42 03.10 23.8r 13UN15 568 C~2NKU 2014 08 22.56426 01 11 03.609 +05 36 30.40 23.8r 13UN15 568 C~2NKU 2014 08 29.52684 01 10 45.116 +05 34 19.83 24.2r 13UN15 568 C~2NKU 2014 08 29.61463 01 10 44.857 +05 34 18.12 23.9r 13UN15 568 C~2NKU 2014 10 23.36016 01 07 13.740 +05 11 32.26 23.4r 13UN15 568 C~2NKU 2014 10 27.39884 01 06 57.226 +05 09 50.85 23.6r 13UN15 568 C~2NKU 2014 11 24.24000 01 05 19.295 +05 00 08.23 23.7r 13UN15 568 C~2NKU 2014 11 25.23617 01 05 16.517 +04 59 52.43 23.6r 13UN15 568 C~2NKU 2014 12 17.25486 01 04 32.936 +04 55 59.42 23.7r 13UN15 568 C~2NKU 2015 01 17.23854 01 04 38.128 +04 57 33.88 23.9r 13UN15 568 C~2NKU 2015 08 20.51066 01 15 41.787 +06 01 00.49 23.6r 13UN15 568 C~2NKU 2015 10 15.30155 01 12 23.405 +05 39 17.77 23.5r 13UN15 568 C~2NKU 2015 10 15.30564 01 12 23.384 +05 39 17.55 23.7r 13UN15 568 C~2NKU 2015 10 15.35250 01 12 23.188 +05 39 16.38 23.4r 13UN15 568 C~2NKU 2015 10 15.35660 01 12 23.165 +05 39 16.30 23.3r 13UN15 568 C~2NKU 2015 12 07.37779 01 09 20.416 +05 21 18.02 24.3w 13UN15 568 C~2NKU 2017 07 24.60098 01 25 13.488 +06 52 11.04 23.9w 13UN15 568 C~2NKU
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 -0.04 0.00 -0.01
2 0.0001 -0.84 -0.02 -0.08 0.01
3 0.0764 -976.17 0.06 -68.76 0.12
4 0.0792 -1026.36 -0.09 -70.94 0.05
5 0.0793 -1028.43 0.04 -71.11 -0.04
6 0.0793 -1029.45 -0.05 -71.18 -0.08
7 0.0901 -1233.11 0.06 -79.06 0.02
8 0.0902 -1235.70 -0.18 -79.16 -0.02
9 0.0902 -1235.77 0.21 -79.32 -0.17
10 0.0903 -1236.56 0.39 -78.91 0.27
11 0.0903 -1237.41 -0.14 -79.18 0.01
12 0.0903 -1238.64 -0.24 -79.33 -0.11
13 0.1776 -3247.47 0.05 -123.25 -0.08
14 0.1779 -3253.35 -0.07 -123.29 -0.10
15 0.1779 -3253.55 0.05 -123.19 0.00
16 0.1862 -3462.97 -0.63 -125.36 -0.14
17 0.2456 -4910.14 0.09 -128.67 0.02
18 0.2458 -4913.02 -0.05 -128.66 -0.00
19 0.2459 -4915.74 -0.04 -128.54 0.09
20 0.2485 -4974.43 0.04 -128.36 0.00
21 0.2488 -4982.28 0.20 -128.22 0.03
22 0.2599 -5229.67 0.08 -126.56 -0.04
23 0.3252 -6418.32 0.12 -104.69 0.01
24 0.3388 -6592.86 0.01 -97.94 0.06
25 0.3389 -6594.49 0.12 -98.00 -0.10
26 0.9009 4092.35 0.09 -110.40 0.24
27 0.9037 4120.86 0.06 -113.47 0.05
28 0.9748 4408.41 0.00 -189.48 0.09
29 1.0542 3722.45 -0.11 -267.93 -0.04
30 1.0732 3417.39 0.07 -283.94 0.02
31 1.0735 3413.16 0.09 -284.05 0.06
32 1.2234 -22.49 -0.03 -348.24 0.03
33 1.2344 -289.22 0.07 -348.00 -0.04
34 1.3106 -1864.07 -0.02 -328.58 -0.09
35 1.3134 -1908.47 -0.08 -327.34 -0.06
36 1.3737 -2599.45 -0.13 -294.04 -0.07
37 1.4585 -2491.64 -0.04 -236.37 0.02
38 2.0479 8125.04 -0.02 -478.95 0.00
39 2.2006 4888.63 0.05 -564.89 0.04
40 2.2006 4888.25 -0.04 -564.98 -0.04
41 2.2008 4885.10 0.06 -564.95 -0.02
42 2.2008 4884.75 0.00 -564.90 0.04
43 2.3459 1950.21 0.01 -526.66 0.04
44 3.9756 17211.39 -0.02 -834.25 -0.05
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.
13UN15 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.467 45.476 45.458 ecceobj 0.055 0.055 0.054 incobj 3.354 3.353 3.354 qmin 42.107 42.128 42.114 qmax 48.473 48.518 48.467 amean 45.190 45.199 45.183 amin 44.838 44.841 44.837 amax 45.560 45.578 45.560 emean 0.051 0.051 0.051 emin 0.037 0.037 0.037 emax 0.064 0.065 0.064 imean 3.361 3.360 3.361 imin 2.859 2.860 2.857 imax 3.802 3.811 3.812 excite_mean 0.078 0.078 0.078 fracstop 1.000 1.000 1.000 cjmean 3.109 3.109 3.109 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 176.7 176.3 177.2 kozaiamp 180.0 180.0 179.9