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: 13UC18 # Created Wed May 8 01:15:32 2024 # Orbit generated from Bernstein formalism # Fitting 32 observations of 34 # Arc: 2.27y # First observation: 2013/08/31 # Last observation: 2015/12/07 Preliminary a, adot, b, bdot, g, gdot: -0.000078 0.022511 -0.000000 -0.000860 0.023557 0.000000 # Chi-squared of fit: 12.44 DOF: 58 RMS: 0.11 # Min/Max residuals: -0.28 0.30 # Exact a, adot, b, bdot, g, gdot: 1.541039E-05 2.248083E-02 -4.430207E-07 -8.597032E-04 2.362148E-02 1.263150E-03 # Covariance matrix: 2.4983E-13 -5.2747E-14 9.8124E-16 -2.2124E-15 1.7960E-13 1.1353E-12 -5.2747E-14 3.2956E-13 4.5811E-15 -1.5845E-14 1.6213E-13 8.4408E-12 9.8124E-16 4.5811E-15 1.1801E-13 -7.9024E-14 3.6687E-15 1.5966E-13 -2.2124E-15 -1.5845E-14 -7.9024E-14 8.7037E-14 -1.1204E-14 -5.5009E-13 1.7960E-13 1.6213E-13 3.6687E-15 -1.1204E-14 3.1192E-13 5.9143E-12 1.1353E-12 8.4408E-12 1.5966E-13 -5.5009E-13 5.9143E-12 2.9296E-10 # lat0 lon0 xBary yBary zBary JD0 -1.964909 17.698761 0.646077 -0.026589 -0.776576 2456536.025878 # Heliocentric elements and errors Epoch: 2456530.5000 = 2013/08/26 Mean Anomaly: 96.24973 +/- 0.265 Argument of Peri: 120.30394 +/- 0.254 Long of Asc Node: 155.87311 +/- 0.010 Inclination: 2.94093 +/- 0.001 Eccentricity: 0.03918289 +/- 0.0007 Semi-Major Axis: 42.86828527 +/- 0.0044 Time of Perihelion: 2429121.0933 +/- 75.4 Perihelion: 41.18858201 +/- 0.0318 Aphelion: 44.54798853 +/- 0.0319 Period (y) 280.6806 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.24310523 +/- 0.0010 Ecliptic Y 12.48643507 +/- 0.0003 Ecliptic Z -1.45153132 +/- 0.0000 Ecliptic XDOT -0.00066220 +/- 0.0000 Ecliptic YDOT 0.00252468 +/- 0.0000 Ecliptic ZDOT -0.00010447 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.11625834 +/- 0.0009 Geocenter to KBO 42.33434917 +/- 0.0010 # Hcoef: 8.29
The following table shows the complete astrometric record for 13UC18. 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 (13UC18) followed by the observatory code and reference code for the source of the astrometry.
2013 08 31.52510 01 08 17.324 +05 07 44.73 25.7r 13UC18 568 C~2NKc 2013 09 04.51419 01 08 04.274 +05 06 14.76 25.1r 13UC18 568 C~2NKc 2013 10 06.42079 01 05 56.155 +04 52 17.13 24.7r 13UC18 568 C~2NKc 2013 10 31.26225 01 04 08.803 +04 41 13.38 24.1r 13UC18 568 C~2NKc 2013 10 31.30520 01 04 08.629 +04 41 12.19 24.5r 13UC18 568 C~2NKc 2013 10 31.34794 01 04 08.443 +04 41 11.37 24.2r 13UC18 568 C~2NKc 2013 11 01.28901 01 04 04.646 +04 40 48.22 24.2r 13UC18 568 C~2NKc 2013 11 01.29758 01 04 04.624 +04 40 48.13 24.7r 13UC18 568 C~2NKc 2013 11 01.41864 01 04 04.111 +04 40 45.23 24.6r 13UC18 568 C~2NKc 2013 11 05.46665 01 03 48.031 +04 39 09.06 24.4r 13UC18 568 C~2NKc 2013 11 07.44747 01 03 40.418 +04 38 23.65 24.9r 13UC18 568 C~2NKc 2013 11 07.47861 01 03 40.288 +04 38 23.28 24.7r 13UC18 568 C~2NKc 2013 12 04.27904 01 02 18.594 +04 30 39.17 23.1r 13UC18 568 C~2NKc 2013 12 04.33121 01 02 18.474 +04 30 38.33 24.6r 13UC18 568 C~2NKc 2013 12 05.26547 01 02 16.461 +04 30 28.45 24.9r 13UC18 568 C~2NKc 2014 08 24.51225 01 13 29.485 +05 36 44.49 24.7r 13UC18 568 C~2NKc 2014 08 28.49059 01 13 18.508 +05 35 26.74 24.7r 13UC18 568 C~2NKc 2014 08 29.52684 01 13 15.470 +05 35 05.69 24.1r 13UC18 568 C~2NKc 2014 08 29.61463 01 13 15.194 +05 35 03.79 24.5r 13UC18 568 C~2NKc 2014 10 23.28255 01 09 35.863 +05 11 31.51 24.1r 13UC18 568 C~2NKc 2014 10 23.33619 01 09 35.634 +05 11 29.93 24.4r 13UC18 568 C~2NKc 2014 10 23.39470 01 09 35.395 +05 11 28.42 25.0r 13UC18 568 C~2NKc 2014 10 25.25994 01 09 27.347 +05 10 39.71 24.5r 13UC18 568 C~2NKc 2014 10 25.46195 01 09 26.471 +05 10 34.35 24.8r 13UC18 568 C~2NKc 2014 10 27.24998 01 09 18.867 +05 09 48.18 24.3r 13UC18 568 C~2NKc 2014 10 27.30820 01 09 18.595 +05 09 46.68 24.5r 13UC18 568 C~2NKc 2014 11 25.24005 01 07 32.217 +04 59 25.47 23.9r 13UC18 568 C~2NKc 2015 01 17.23854 01 06 49.982 +04 57 13.05 25.0r 13UC18 568 C~2NKc 2015 08 20.51066 01 18 29.934 +06 04 13.84 25.0r 13UC18 568 C~2NKc 2015 10 15.30155 01 15 04.233 +05 41 47.37 24.5r 13UC18 568 C~2NKc 2015 10 15.30564 01 15 04.221 +05 41 47.31 24.4r 13UC18 568 C~2NKc 2015 10 15.35250 01 15 03.999 +05 41 46.05 24.9r 13UC18 568 C~2NKc 2015 10 15.35660 01 15 03.996 +05 41 45.95 24.8r 13UC18 568 C~2NKc 2015 12 07.37779 01 11 51.508 +05 23 10.24 25.1w 13UC18 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 -0.03
2 0.0109 -214.54 0.01 -9.01 -0.28
3 0.0983 -2303.87 -0.17 -54.20 -0.03
4 0.1663 -4040.83 -0.04 -55.37 0.06
5 0.1664 -4043.69 -0.03 -55.48 -0.09
6 0.1665 -4046.57 -0.06 -55.18 0.17
7 0.1691 -4107.90 0.18 -54.89 -0.08
8 0.1691 -4108.24 ( 0.41) -54.85 ( -0.05)
9 0.1695 -4116.44 0.23 -54.60 0.07
10 0.1805 -4375.46 -0.07 -51.65 0.11
11 0.1860 -4498.05 -0.09 -50.14 -0.06
12 0.1860 -4499.98 -0.10 -49.73 0.30
13 0.2594 -5806.95 0.14 -11.63 0.10
14 0.2596 -5808.93 -0.00 -11.72 -0.11
15 0.2621 -5840.55 ( -0.44) -9.33 ( 0.52)
16 0.9801 4974.30 0.08 -159.62 -0.03
17 0.9910 4793.09 0.08 -169.55 -0.03
18 0.9938 4743.12 0.02 -171.86 0.13
19 0.9941 4738.59 -0.14 -172.06 0.10
20 1.1438 1171.42 -0.10 -236.39 0.10
21 1.1439 1167.66 -0.06 -236.55 -0.10
22 1.1441 1163.78 0.21 -236.59 -0.18
23 1.1492 1034.06 0.02 -235.96 0.08
24 1.1497 1019.92 0.06 -235.94 -0.05
25 1.1546 897.30 0.19 -235.47 -0.09
26 1.1548 892.97 -0.10 -235.31 0.02
27 1.2340 -813.27 -0.03 -205.17 -0.19
28 1.3791 -1447.30 -0.09 -87.23 0.02
29 1.9685 9754.84 0.10 -324.93 0.02
30 2.1212 6399.20 -0.11 -414.25 -0.03
31 2.1212 6399.01 -0.00 -414.24 -0.02
32 2.1214 6395.47 -0.15 -414.15 0.06
33 2.1214 6395.39 0.07 -414.23 -0.02
34 2.2665 3311.31 0.02 -359.01 0.08
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.
13UC18 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.102 43.116 43.087 ecceobj 0.041 0.043 0.040 incobj 2.934 2.934 2.934 qmin 40.428 40.373 40.470 qmax 45.485 45.526 45.419 amean 42.849 42.864 42.835 amin 42.518 42.537 42.508 amax 43.182 43.199 43.171 emean 0.035 0.036 0.033 emin 0.014 0.015 0.012 emax 0.053 0.054 0.052 imean 3.351 3.351 3.350 imin 2.193 2.193 2.191 imax 4.245 4.245 4.246 excite_mean 0.069 0.070 0.068 fracstop 1.000 1.000 1.000 cjmean 3.082 3.082 3.082 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 177.9 177.9 177.9 kozaiamp 180.0 180.0 180.0