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: 13UA18 # Created Sun Nov 24 02:09:45 2024 # Orbit generated from Bernstein formalism # Fitting 33 observations of 33 # Arc: 2.35y # First observation: 2013/08/02 # Last observation: 2015/12/07 Preliminary a, adot, b, bdot, g, gdot: -0.000142 0.021748 0.000000 0.002543 0.023137 0.000000 # Chi-squared of fit: 15.69 DOF: 60 RMS: 0.12 # Min/Max residuals: -0.47 0.27 # Exact a, adot, b, bdot, g, gdot: 1.471282E-05 2.158097E-02 1.974319E-06 2.538212E-03 2.306078E-02 3.191552E-04 # Covariance matrix: 1.6078E-13 -1.5604E-14 -1.8111E-15 1.1910E-14 1.2071E-13 2.5998E-12 -1.5604E-14 2.9145E-13 -8.2802E-15 4.1493E-14 1.6019E-13 8.7928E-12 -1.8111E-15 -8.2802E-15 8.9176E-14 -7.5502E-14 -6.5005E-15 -4.3276E-13 1.1910E-14 4.1493E-14 -7.5502E-14 1.3058E-13 3.6169E-14 2.1483E-12 1.2071E-13 1.6019E-13 -6.5005E-15 3.6169E-14 2.3442E-13 7.7610E-12 2.5998E-12 8.7928E-12 -4.3276E-13 2.1483E-12 7.7610E-12 4.5472E-10 # lat0 lon0 xBary yBary zBary JD0 -1.222014 17.918719 0.941445 -0.008161 -0.383972 2456507.032638 # Heliocentric elements and errors Epoch: 2456500.5000 = 2013/07/27 Mean Anomaly: 211.76593 +/- 2.690 Argument of Peri: 138.93789 +/- 2.690 Long of Asc Node: 26.91896 +/- 0.001 Inclination: 6.78722 +/- 0.001 Eccentricity: 0.01731945 +/- 0.0005 Semi-Major Axis: 43.12011666 +/- 0.0026 Time of Perihelion: 2499086.2048 +/- 772.8 Perihelion: 42.37329986 +/- 0.0227 Aphelion: 43.86693347 +/- 0.0227 Period (y) 283.1575 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.90571369 +/- 0.0009 Ecliptic Y 12.56405472 +/- 0.0003 Ecliptic Z -0.92467017 +/- 0.0000 Ecliptic XDOT -0.00075236 +/- 0.0000 Ecliptic YDOT 0.00245069 +/- 0.0000 Ecliptic ZDOT 0.00030061 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.75842006 +/- 0.0008 Geocenter to KBO 43.36366363 +/- 0.0009 # Hcoef: 7.85
The following table shows the complete astrometric record for 13UA18. 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 (13UA18) followed by the observatory code and reference code for the source of the astrometry.
2013 08 02.53186 01 07 58.198 +05 53 59.17 24.5r 13UA18 568 C~2NKc 2013 08 02.57457 01 07 58.136 +05 53 58.85 24.9r 13UA18 568 C~2NKc 2013 08 30.44895 01 06 56.696 +05 47 43.24 23.6r 13UA18 568 C~2NKc 2013 08 31.45170 01 06 53.517 +05 47 24.02 23.9r 13UA18 568 C~2NKc 2013 09 04.43153 01 06 40.364 +05 46 04.79 24.3r 13UA18 568 C~2NKc 2013 09 04.47439 01 06 40.185 +05 46 03.53 24.2r 13UA18 568 C~2NKc 2013 09 04.50640 01 06 40.085 +05 46 03.40 25.1r 13UA18 568 C~2NKc 2013 10 06.41277 01 04 31.474 +05 33 21.26 24.0r 13UA18 568 C~2NKc 2013 10 06.50014 01 04 31.073 +05 33 18.92 24.2r 13UA18 568 C~2NKc 2013 10 06.51103 01 04 31.027 +05 33 18.70 23.7r 13UA18 568 C~2NKc 2013 10 09.54274 01 04 17.656 +05 32 00.68 24.2r 13UA18 568 C~2NKc 2013 10 31.25446 01 02 44.183 +05 23 04.53 24.6r 13UA18 568 C~2NKc 2013 10 31.29744 01 02 44.014 +05 23 03.46 23.8r 13UA18 568 C~2NKc 2013 10 31.34016 01 02 43.846 +05 23 02.55 24.5r 13UA18 568 C~2NKc 2013 11 01.28119 01 02 40.023 +05 22 40.97 24.1r 13UA18 568 C~2NKc 2013 11 01.40856 01 02 39.493 +05 22 38.27 23.8r 13UA18 568 C~2NKc 2013 11 05.45881 01 02 23.452 +05 21 08.52 24.1r 13UA18 568 C~2NKc 2013 11 29.32791 01 01 05.628 +05 14 10.90 24.7r 13UA18 568 C~2NKc 2013 12 04.27126 01 00 54.059 +05 13 14.54 24.1r 13UA18 568 C~2NKc 2013 12 04.32344 01 00 53.937 +05 13 13.81 24.1r 13UA18 568 C~2NKc 2014 06 27.60171 01 12 05.997 +06 28 43.13 24.0r 13UA18 568 C~2NKc 2014 06 28.60677 01 12 07.873 +06 28 54.42 24.2r 13UA18 568 C~2NKc 2014 07 24.56479 01 12 27.457 +06 30 51.98 24.8r 13UA18 568 C~2NKc 2014 07 27.59560 01 12 26.089 +06 30 43.99 24.3r 13UA18 568 C~2NKc 2014 08 22.56814 01 11 44.608 +06 26 34.21 24.2r 13UA18 568 C~2NKc 2014 08 22.58822 01 11 44.538 +06 26 33.77 24.5r 13UA18 568 C~2NKc 2014 08 28.43091 01 11 28.484 +06 24 58.15 24.0r 13UA18 568 C~2NKc 2014 10 23.35237 01 07 44.123 +06 03 09.62 24.2r 13UA18 568 C~2NKc 2014 10 27.39107 01 07 26.814 +06 01 31.47 24.0r 13UA18 568 C~2NKc 2014 12 17.25092 01 04 54.667 +05 48 08.38 13UA18 568 C~2NKc 2015 01 17.30307 01 04 58.284 +05 50 06.80 24.0r 13UA18 568 C~2NKc 2015 08 20.51903 01 16 14.839 +07 03 24.37 24.1r 13UA18 568 C~2NKc 2015 12 07.38190 01 09 34.493 +06 25 45.56 24.4w 13UA18 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 0.02 0.00 -0.05
2 0.0001 -0.98 -0.11 0.06 -0.01
3 0.0764 -991.75 0.13 1.77 0.04
4 0.0792 -1042.93 0.04 2.07 0.00
5 0.0901 -1254.61 0.08 3.60 -0.03
6 0.0902 -1257.56 -0.47 3.45 -0.22
7 0.0903 -1258.99 -0.11 3.90 0.20
8 0.1776 -3324.58 0.13 31.70 0.05
9 0.1779 -3331.01 -0.04 31.83 0.02
10 0.1779 -3331.73 0.02 31.89 0.06
11 0.1862 -3546.08 0.05 36.03 -0.03
12 0.2456 -5041.42 -0.00 74.16 0.06
13 0.2458 -5044.16 0.09 74.14 -0.07
14 0.2459 -5046.83 0.24 74.26 -0.06
15 0.2485 -5107.87 0.05 76.17 -0.09
16 0.2488 -5116.22 0.04 76.70 0.11
17 0.2599 -5372.06 0.06 85.45 0.08
18 0.3252 -6606.80 -0.29 144.83 -0.24
19 0.3388 -6788.21 0.05 159.01 0.12
20 0.3389 -6790.18 -0.09 159.04 -0.03
21 0.9009 4210.38 -0.13 525.25 0.01
22 0.9037 4240.55 -0.07 525.11 -0.09
23 0.9748 4555.35 -0.02 523.42 -0.12
24 0.9831 4533.44 0.14 523.75 0.27
25 1.0542 3866.38 0.22 526.68 -0.06
26 1.0542 3865.24 -0.07 526.67 -0.09
27 1.0702 3607.48 0.13 528.85 0.04
28 1.2233 15.29 0.03 588.94 0.07
29 1.2344 -260.83 0.00 596.47 0.11
30 1.3736 -2665.77 0.12 719.50 -0.08
31 1.4586 -2570.66 -0.15 808.35 0.15
32 2.0479 8432.71 -0.04 1052.74 -0.07
33 2.3459 2053.07 -0.06 1217.39 -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.
13UA18 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.338 43.346 43.330 ecceobj 0.012 0.011 0.012 incobj 6.770 6.770 6.770 qmin 41.203 41.243 41.175 qmax 45.127 45.130 45.157 amean 43.084 43.092 43.076 amin 42.758 42.762 42.744 amax 43.415 43.428 43.405 emean 0.023 0.022 0.024 emin 0.004 0.004 0.005 emax 0.040 0.040 0.041 imean 6.015 6.018 6.011 imin 5.222 5.229 5.216 imax 6.766 6.767 6.771 excite_mean 0.108 0.107 0.108 fracstop 1.000 1.000 1.000 cjmean 3.077 3.077 3.077 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 183.2 182.8 182.8 kozaiamp 180.0 180.0 180.0