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: 13GJ138 # Created Sat Apr 27 01:14:35 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 72 observations of 72 # Arc: 13.03y # First observation: 2005/04/02 # Last observation: 2018/04/12 # Chi-squared of fit: 82.85 DOF: 138 RMS: 0.19 # Min/Max residuals: -0.54 0.64 # Exact a, adot, b, bdot, g, gdot: 2.403917E-05 5.823975E-02 -9.695727E-06 -2.523628E-02 3.910839E-02 -7.362063E-03 # Covariance matrix: 4.0989E-13 -7.3503E-14 -7.9141E-14 2.1927E-14 -1.9330E-14 -4.5143E-14 -7.3503E-14 1.6708E-14 2.2348E-14 -6.2067E-15 1.8870E-15 1.2801E-14 -7.9141E-14 2.2348E-14 2.6293E-13 -3.2728E-14 2.0725E-15 2.0118E-14 2.1927E-14 -6.2067E-15 -3.2728E-14 5.1852E-15 -3.2479E-16 -5.5934E-15 -1.9330E-14 1.8870E-15 2.0725E-15 -3.2479E-16 5.9388E-14 3.0758E-16 -4.5143E-14 1.2801E-14 2.0118E-14 -5.5934E-15 3.0758E-16 1.1544E-14 # lat0 lon0 xBary yBary zBary JD0 15.783797 165.267803 -0.457323 0.240561 -0.850754 2453462.808154 # Heliocentric elements and errors Epoch: 2453462.5000 = 2005/04/02 Mean Anomaly: 359.12667 +/- 0.000 Argument of Peri: 158.26210 +/- 0.000 Long of Asc Node: 17.27654 +/- 0.000 Inclination: 27.92200 +/- 0.000 Eccentricity: 0.79435386 +/- 0.0000 Semi-Major Axis: 127.18183400 +/- 0.0212 Time of Perihelion: 2454733.4022 +/- 130.8 Perihelion: 26.15445336 +/- 0.0061 Aphelion: 228.20921463 +/- 0.0383 Period (y) 1434.3193 +/- 0.36 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -24.77280232 +/- 0.0001 Ecliptic Y 6.03891141 +/- 0.0000 Ecliptic Z 6.95502968 +/- 0.0000 Ecliptic XDOT -0.00102163 +/- 0.0000 Ecliptic YDOT -0.00395417 +/- 0.0000 Ecliptic ZDOT -0.00184023 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 26.42983096 +/- 0.0001 Geocenter to KBO 25.57008205 +/- 0.0002 # Hcoef: 8.07
The following table shows the complete astrometric record for 13GJ138. 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 (13GJ138) followed by the observatory code and reference code for the source of the astrometry.
2005 04 02.307411 11 31 30.16 +20 17 53.0 22.6V 13GJ138 645 C~2e9a 2005 04 02.308240 11 31 30.17 +20 17 53.2 22.6V 13GJ138 645 C~2e9a 2005 04 02.310728 11 31 30.15 +20 17 53.0 23.4V 13GJ138 645 C~2e9a 2010 06 30.29238 12 16 20.133 +05 59 01.16 22.5G 13GJ138 F51 C~2r7O 2011 01 29.61727 12 36 43.449 +02 54 36.96 21.6G 13GJ138 F51 C~2r7O 2011 03 13.43129 12 33 09.691 +03 11 35.40 22.0G 13GJ138 F51 C~2r7O 2011 03 13.44382 12 33 09.605 +03 11 35.78 22.4G 13GJ138 F51 C~2r7O 2012 02 28.52838 12 43 47.740 +00 14 54.20 22.5G 13GJ138 F51 C~2r7O 2012 02 28.54278 12 43 47.653 +00 14 54.51 22.3G 13GJ138 F51 C~2r7O 2012 02 28.55722 12 43 47.575 +00 14 54.87 22.4G 13GJ138 F51 C~2r7O 2012 04 12.34188 12 38 54.684 +00 34 14.41 22.3G 13GJ138 F51 C~2r7O 2012 04 12.35582 12 38 54.585 +00 34 14.75 22.5G 13GJ138 F51 C~2r7O 2012 04 12.36976 12 38 54.484 +00 34 15.01 22.5G 13GJ138 F51 C~2r7O 2012 04 12.38378 12 38 54.391 +00 34 15.44 22.3G 13GJ138 F51 C~2r7O 2013 04 05.41736 12 48 56.703 -02 17 51.90 22.5g 13GJ138 F51 C~1w3t 2013 04 05.44100 12 48 56.482 -02 17 50.95 22.9G 13GJ138 F51 C~2r7O 2013 04 10.37742 12 48 22.065 -02 15 44.99 22.4g 13GJ138 F51 C~1w3t 2013 04 10.38835 12 48 21.958 -02 15 44.73 21.9G 13GJ138 F51 C~2r7O 2013 04 11.37185 12 48 15.165 -02 15 20.43 22.1w 13GJ138 F51 C~1w3u 2013 04 11.38552 12 48 15.078 -02 15 20.12 22.5w 13GJ138 F51 C~1w3u 2013 04 11.39922 12 48 14.985 -02 15 19.57 22.2w 13GJ138 F51 C~1w3u 2013 04 11.41298 12 48 14.864 -02 15 19.17 22.2w 13GJ138 F51 C~1w3u 2013 04 17.31494 12 47 34.535 -02 12 58.29 21.0i 13GJ138 F51 C~1w3u 2013 05 02.33722 12 45 59.158 -02 08 00.88 21.1r 13GJ138 F51 C~1w3u 2014 02 26.51804 13 02 04.735 -05 18 40.79 22.9w 13GJ138 F51 C~1w3u 2014 02 26.53041 13 02 04.690 -05 18 40.53 22.3w 13GJ138 F51 C~1w3u 2014 02 26.54278 13 02 04.628 -05 18 40.13 22.5w 13GJ138 F51 C~1w3u 2014 02 26.55515 13 02 04.570 -05 18 40.06 22.4w 13GJ138 F51 C~1w3u 2014 02 28.49924 13 01 54.557 -05 18 08.60 22.2w 13GJ138 F51 C~1w3u 2014 02 28.51051 13 01 54.497 -05 18 08.38 22.1w 13GJ138 F51 C~1w3u 2014 02 28.52174 13 01 54.429 -05 18 08.20 22.8w 13GJ138 F51 C~1w3u 2014 02 28.53302 13 01 54.383 -05 18 08.03 22.5w 13GJ138 F51 C~1w3u 2014 03 06.46259 13 01 21.700 -05 16 20.08 22.2w 13GJ138 F51 C~1w3u 2014 04 04.40453 12 58 11.926 -05 04 49.86 21.9w 13GJ138 F51 C~1w3u 2014 04 04.41588 12 58 11.811 -05 04 49.96 21.3w 13GJ138 F51 C~1w3u 2014 04 04.43861 12 58 11.699 -05 04 49.49 21.8w 13GJ138 F51 C~1w3u 2014 04 23.36701 12 56 01.927 -04 57 01.36 22.4w 13GJ138 F51 C~1w3u 2014 04 23.37950 12 56 01.826 -04 57 01.18 22.3w 13GJ138 F51 C~1w3u 2014 04 29.31034 12 55 23.745 -04 54 53.13 22.2G 13GJ138 F51 C~2r7O 2014 04 29.32229 12 55 23.685 -04 54 53.15 22.4G 13GJ138 F51 C~2r7O 2014 04 29.33427 12 55 23.595 -04 54 52.57 23.0G 13GJ138 F51 C~2r7O 2014 04 29.34624 12 55 23.513 -04 54 52.70 22.1G 13GJ138 F51 C~2r7O 2015 01 23.59781 13 12 34.748 -07 59 12.84 22.3G 13GJ138 F51 C~2r7O 2015 01 23.62108 13 12 34.752 -07 59 13.19 22.0G 13GJ138 F51 C~2r7O 2015 01 25.62486 13 12 33.512 -07 59 41.06 22.1G 13GJ138 F51 C~2r7O 2015 03 21.48481 13 08 49.554 -07 53 21.67 22.6G 13GJ138 F51 C~2r7O 2015 03 21.49610 13 08 49.484 -07 53 21.30 22.5G 13GJ138 F51 C~2r7O 2015 03 21.50739 13 08 49.416 -07 53 21.21 22.4G 13GJ138 F51 C~2r7O 2015 03 22.44911 13 08 43.234 -07 53 00.45 22.4G 13GJ138 F51 C~2r7O 2015 03 22.46069 13 08 43.163 -07 53 00.05 22.0G 13GJ138 F51 C~2r7O 2015 03 22.47238 13 08 43.082 -07 52 59.83 22.3G 13GJ138 F51 C~2r7O 2015 03 22.48401 13 08 43.024 -07 52 59.45 22.1G 13GJ138 F51 C~2r7O 2015 04 21.42702 13 05 17.429 -07 40 43.74 22.3G 13GJ138 F51 C~2r7O 2016 03 12.52346 13 18 35.848 -10 33 58.80 22.7G 13GJ138 F51 C~2r7O 2016 03 14.54631 13 18 23.796 -10 33 26.48 23.5G 13GJ138 F51 C~2r7O 2016 03 29.47308 13 16 47.543 -10 28 33.10 22.8G 13GJ138 F51 C~2r7O 2016 04 03.43861 13 16 13.566 -10 26 38.70 22.4G 13GJ138 F51 C~2r7O 2016 04 03.45098 13 16 13.497 -10 26 38.65 21.9G 13GJ138 F51 C~2r7O 2016 04 03.46335 13 16 13.394 -10 26 38.22 21.9G 13GJ138 F51 C~2r7O 2016 04 03.47573 13 16 13.313 -10 26 37.97 22.7G 13GJ138 F51 C~2r7O 2016 05 01.37163 13 13 03.725 -10 15 15.15 22.8G 13GJ138 F51 C~2r7O 2016 05 01.38330 13 13 03.640 -10 15 14.79 21.8G 13GJ138 F51 C~2r7O 2016 05 01.39496 13 13 03.539 -10 15 14.61 21.2G 13GJ138 F51 C~2r7O 2017 02 02.60480 13 29 47.053 -13 05 51.84 22.4G 13GJ138 F51 C~2r7O 2017 02 21.60642 13 28 58.132 -13 08 39.86 22.1G 13GJ138 F51 C~2r7O 2017 03 28.53391 13 25 48.183 -13 02 44.30 20.8G 13GJ138 F51 C~2r7O 2017 04 27.36331 13 22 23.840 -12 51 08.39 21.8G 13GJ138 F51 C~2r7O 2017 05 26.18805 13 19 37.49 -12 40 33.5 22.6R 13GJ138 G37 C~2Gia 2017 05 26.25301 13 19 37.20 -12 40 32.3 13GJ138 G37 C~2Gia 2018 04 12.42835 13 32 57.688 -15 26 22.63 23.0G 13GJ138 F51 C~2r7O 2018 04 12.44123 13 32 57.622 -15 26 22.37 22.8G 13GJ138 F51 C~2r7O 2018 04 12.46700 13 32 57.420 -15 26 21.69 22.3G 13GJ138 F51 C~2r7O
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 -0.14 0.00 -0.05
2 0.0000 0.00 0.09 0.00 0.14
3 0.0000 0.00 0.05 0.00 -0.08
4 5.2429 0.00 -0.13 0.00 -0.32
5 5.8270 0.00 -0.38 0.00 -0.04
6 5.9442 0.00 -0.06 0.00 0.05
7 5.9442 0.00 -0.06 0.00 0.06
8 6.9082 0.00 -0.04 0.00 0.04
9 6.9082 0.00 -0.09 0.00 0.00
10 6.9083 0.00 -0.00 0.00 0.01
11 7.0282 0.00 -0.06 0.00 -0.07
12 7.0282 0.00 -0.09 0.00 -0.05
13 7.0282 0.00 -0.15 0.00 -0.11
14 7.0283 0.00 -0.07 0.00 -0.00
15 8.0085 0.00 0.24 0.00 -0.17
16 8.0086 0.00 -0.54 0.00 0.17
17 8.0221 0.00 0.12 0.00 0.04
18 8.0221 0.00 -0.32 0.00 0.03
19 8.0248 0.00 0.04 0.00 -0.15
20 8.0249 0.00 0.18 0.00 -0.17
21 8.0249 0.00 0.24 0.00 0.04
22 8.0249 0.00 -0.12 0.00 0.10
23 8.0411 0.00 0.05 0.00 -0.02
24 8.0822 0.00 0.64 0.00 0.47
25 8.9041 0.00 -0.02 0.00 0.03
26 8.9041 0.00 0.27 0.00 0.10
27 8.9041 0.00 0.30 0.00 0.30
28 8.9042 0.00 0.40 0.00 0.18
29 8.9095 0.00 0.24 0.00 0.17
30 8.9095 0.00 0.25 0.00 0.20
31 8.9096 0.00 0.14 0.00 0.19
32 8.9096 0.00 0.35 0.00 0.17
33 8.9258 0.00 -0.03 0.00 0.15
34 9.0051 0.00 0.03 0.00 0.05
35 9.0051 0.00 -0.48 0.00 -0.34
36 9.0052 0.00 0.27 0.00 -0.46
37 9.0570 0.00 0.49 0.00 0.09
38 9.0570 0.00 0.23 0.00 -0.01
39 9.0732 0.00 -0.08 0.00 0.07
40 9.0733 0.00 0.17 0.00 -0.19
41 9.0733 0.00 -0.04 0.00 0.14
42 9.0733 0.00 -0.12 0.00 -0.23
43 9.8105 0.00 -0.14 0.00 -0.05
44 9.8106 0.00 0.13 0.00 -0.06
45 9.8161 0.00 -0.06 0.00 0.04
46 9.9663 0.00 -0.27 0.00 -0.06
47 9.9663 0.00 -0.19 0.00 0.06
48 9.9663 0.00 -0.08 0.00 -0.10
49 9.9689 0.00 -0.18 0.00 -0.29
50 9.9689 0.00 -0.08 0.00 -0.14
51 9.9690 0.00 -0.12 0.00 -0.19
52 9.9690 0.00 0.18 0.00 -0.07
53 10.0510 0.00 -0.22 0.00 0.19
54 10.9438 0.00 0.11 0.00 -0.01
55 10.9493 0.00 0.01 0.00 -0.02
56 10.9902 0.00 -0.31 0.00 -0.13
57 11.0038 0.00 -0.11 0.00 0.13
58 11.0038 0.00 0.16 0.00 -0.11
59 11.0038 0.00 -0.08 0.00 0.03
60 11.0039 0.00 0.01 0.00 -0.01
61 11.0803 0.00 -0.01 0.00 0.13
62 11.0803 0.00 -0.15 0.00 0.21
63 11.0803 0.00 -0.53 0.00 0.12
64 11.8393 0.00 -0.19 0.00 -0.13
65 11.8913 0.00 -0.11 0.00 -0.17
66 11.9869 0.00 0.05 0.00 0.03
67 12.0686 0.00 0.02 0.00 0.05
68 12.1475 0.00 -0.01 0.00 0.15
69 12.1477 0.00 0.22 0.00 0.23
70 13.0270 0.00 -0.15 0.00 -0.13
71 13.0271 0.00 0.22 0.00 -0.16
72 13.0271 0.00 -0.07 0.00 -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.
13GJ138 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 121.942 121.940 121.945 ecceobj 0.785 0.785 0.785 incobj 27.990 27.990 27.990 qmin 25.098 25.114 24.992 qmax 241.810 226.014 239.220 amean 123.910 115.002 123.453 amin 115.341 107.827 119.112 amax 133.951 126.116 133.425 emean 0.787 0.772 0.787 emin 0.764 0.749 0.773 emax 0.806 0.792 0.799 imean 28.195 27.947 28.037 imin 26.906 27.042 26.880 imax 30.898 29.407 29.908 excite_mean 0.918 0.903 0.916 fracstop 0.747 0.628 0.806 cjmean 2.449 2.454 2.450 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 187.7 188.3 188.2 kozaiamp 27.1 31.7 29.0