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: 13UE18 # Created Sat Apr 20 01:15:34 2024 # Orbit generated from Bernstein formalism # Fitting 30 observations of 30 # Arc: 1.46y # First observation: 2013/08/02 # Last observation: 2015/01/18 Preliminary a, adot, b, bdot, g, gdot: -0.000164 0.025102 0.000000 0.000996 0.024537 0.000000 # Chi-squared of fit: 9.50 DOF: 54 RMS: 0.10 # Min/Max residuals: -0.24 0.28 # Exact a, adot, b, bdot, g, gdot: 1.642657E-05 2.489061E-02 6.314144E-07 9.958336E-04 2.443274E-02 1.142865E-03 # Covariance matrix: 3.3727E-13 8.3942E-14 -1.7114E-15 2.2487E-14 3.6994E-13 1.7537E-11 8.3942E-14 3.8681E-13 -2.3174E-15 2.4329E-14 3.3085E-13 1.8749E-11 -1.7114E-15 -2.3174E-15 1.0857E-13 -1.0991E-13 -3.4166E-15 -2.7291E-13 2.2487E-14 2.4329E-14 -1.0991E-13 2.0249E-13 4.0326E-14 2.5887E-12 3.6994E-13 3.3085E-13 -3.4166E-15 4.0326E-14 6.1167E-13 3.1282E-11 1.7537E-11 1.8749E-11 -2.7291E-13 2.5887E-12 3.1282E-11 1.9823E-09 # lat0 lon0 xBary yBary zBary JD0 -0.932644 18.924033 0.947963 -0.005953 -0.367619 2456507.044298 # Heliocentric elements and errors Epoch: 2456500.5000 = 2013/07/27 Mean Anomaly: 11.63466 +/- 0.949 Argument of Peri: 323.73904 +/- 1.156 Long of Asc Node: 39.77059 +/- 0.009 Inclination: 2.44863 +/- 0.001 Eccentricity: 0.09307482 +/- 0.0005 Semi-Major Axis: 45.43057279 +/- 0.0054 Time of Perihelion: 2452885.8013 +/- 295.0 Perihelion: 41.20213020 +/- 0.0235 Aphelion: 49.65901539 +/- 0.0238 Period (y) 306.2179 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.36630235 +/- 0.0012 Ecliptic Y 12.49765735 +/- 0.0004 Ecliptic Z -0.66612973 +/- 0.0000 Ecliptic XDOT -0.00078795 +/- 0.0000 Ecliptic YDOT 0.00267970 +/- 0.0000 Ecliptic ZDOT 0.00010963 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.30787974 +/- 0.0012 Geocenter to KBO 40.92868925 +/- 0.0013 # Hcoef: 8.17
The following table shows the complete astrometric record for 13UE18. 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 (13UE18) followed by the observatory code and reference code for the source of the astrometry.
2013 08 02.54352 01 11 16.175 +06 32 56.60 24.6r 13UE18 568 C~2NKc 2013 08 02.58624 01 11 16.132 +06 32 56.44 25.1r 13UE18 568 C~2NKc 2013 08 31.46342 01 10 12.166 +06 26 08.39 24.1r 13UE18 568 C~2NKc 2013 08 31.52899 01 10 11.947 +06 26 06.98 24.2r 13UE18 568 C~2NKc 2013 09 04.44319 01 09 58.751 +06 24 45.42 24.2r 13UE18 568 C~2NKc 2013 09 04.51807 01 09 58.511 +06 24 43.64 23.8r 13UE18 568 C~2NKc 2013 10 06.42466 01 07 45.818 +06 11 14.08 23.9r 13UE18 568 C~2NKc 2013 10 09.55440 01 07 31.459 +06 09 47.62 23.9r 13UE18 568 C~2NKc 2013 10 31.26631 01 05 53.951 +06 00 07.31 24.0r 13UE18 568 C~2NKc 2013 10 31.30910 01 05 53.767 +06 00 06.30 24.3r 13UE18 568 C~2NKc 2013 10 31.35182 01 05 53.576 +06 00 05.17 24.4r 13UE18 568 C~2NKc 2013 11 01.29289 01 05 49.591 +05 59 41.77 24.3r 13UE18 568 C~2NKc 2013 11 01.42381 01 05 49.020 +05 59 38.44 24.4r 13UE18 568 C~2NKc 2013 11 05.47053 01 05 32.246 +05 58 00.47 24.0r 13UE18 568 C~2NKc 2013 11 07.44359 01 05 24.329 +05 57 14.16 24.3r 13UE18 568 C~2NKc 2013 11 07.45135 01 05 24.290 +05 57 14.01 24.5r 13UE18 568 C~2NKc 2013 11 07.48378 01 05 24.188 +05 57 13.16 24.4r 13UE18 568 C~2NKc 2013 12 04.28292 01 03 58.623 +05 49 09.04 24.6r 13UE18 568 C~2NKc 2013 12 04.33509 01 03 58.502 +05 49 08.38 24.0r 13UE18 568 C~2NKc 2014 06 27.61338 01 16 07.060 +07 06 32.44 25.0r 13UE18 568 C~2NKc 2014 07 24.57652 01 16 34.991 +07 09 00.41 24.7r 13UE18 568 C~2NKc 2014 07 27.60731 01 16 34.123 +07 08 53.01 24.9r 13UE18 568 C~2NKc 2014 08 22.60340 01 15 54.834 +07 04 39.19 24.5r 13UE18 568 C~2NKc 2014 08 28.44260 01 15 38.780 +07 02 59.64 24.0r 13UE18 568 C~2NKc 2014 10 27.38719 01 11 29.494 +06 38 02.55 24.0r 13UE18 568 C~2NKc 2014 11 19.19777 01 09 58.112 +06 29 13.82 23.9r 13UE18 568 C~2NKc 2014 11 19.26507 01 09 57.878 +06 29 12.43 24.6r 13UE18 568 C~2NKc 2014 11 25.21441 01 09 38.480 +06 27 23.51 23.8r 13UE18 568 C~2NKc 2014 12 17.23891 01 08 49.523 +06 23 03.10 23.6r 13UE18 568 C~2NKc 2015 01 18.22533 01 08 54.787 +06 24 38.24 24.6r 13UE18 568 C~2NKc
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 -0.07 0.00 0.00
2 0.0001 -0.65 0.08 0.09 0.11
3 0.0792 -1037.53 0.05 -16.21 -0.02
4 0.0794 -1041.08 0.01 -16.27 -0.09
5 0.0901 -1254.02 -0.24 -17.13 0.28
6 0.0903 -1258.01 0.07 -17.42 -0.03
7 0.1776 -3395.90 -0.01 -14.86 0.03
8 0.1862 -3626.90 0.02 -13.38 -0.08
9 0.2456 -5193.41 0.04 3.82 -0.07
10 0.2458 -5196.34 0.08 3.94 -0.02
11 0.2459 -5199.40 -0.02 3.98 -0.05
12 0.2485 -5263.32 0.03 5.00 -0.00
13 0.2488 -5272.47 -0.11 5.17 -0.04
14 0.2599 -5541.35 -0.09 9.99 0.17
15 0.2653 -5668.29 0.01 12.22 0.03
16 0.2653 -5668.89 -0.09 12.30 0.10
17 0.2654 -5670.62 0.28 12.10 -0.15
18 0.3388 -7036.75 -0.04 51.86 -0.08
19 0.3389 -7038.68 -0.04 51.94 -0.11
20 0.9009 4773.61 0.06 230.77 -0.01
21 0.9748 5214.72 0.10 211.42 -0.09
22 0.9831 5199.96 0.12 209.42 -0.00
23 1.0542 4562.27 -0.04 194.35 -0.07
24 1.0702 4303.27 -0.24 192.12 0.02
25 1.2343 299.55 -0.05 208.01 -0.03
26 1.2968 -1161.02 0.10 234.82 0.02
27 1.2970 -1164.77 0.11 234.86 -0.07
28 1.3133 -1473.61 -0.08 243.78 0.22
29 1.3736 -2247.65 0.02 279.95 0.07
30 1.4611 -2138.91 -0.07 338.15 -0.06
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.
13UE18 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.695 45.720 45.672 ecceobj 0.099 0.101 0.097 incobj 2.444 2.444 2.444 qmin 40.382 40.339 40.450 qmax 50.618 50.757 50.528 amean 45.372 45.396 45.350 amin 45.003 45.027 44.983 amax 45.777 45.801 45.743 emean 0.093 0.095 0.092 emin 0.079 0.080 0.077 emax 0.107 0.109 0.105 imean 1.875 1.873 1.877 imin 1.267 1.262 1.274 imax 2.403 2.404 2.401 excite_mean 0.099 0.101 0.098 fracstop 1.000 1.000 1.000 cjmean 3.106 3.106 3.106 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 179.2 179.1 178.5 kozaiamp 180.0 180.0 179.9