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: 13TQ187 # Created Sun May 5 01:14:44 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 45 observations of 45 # Arc: 5.05y # First observation: 2013/10/03 # Last observation: 2018/10/20 # Chi-squared of fit: 12.49 DOF: 84 RMS: 0.09 # Min/Max residuals: -0.37 0.19 # Exact a, adot, b, bdot, g, gdot: 1.603409E-05 2.702993E-02 -6.810382E-07 -1.974807E-04 2.589415E-02 -4.030581E-04 # Covariance matrix: 2.0922E-13 -1.4771E-13 -1.9689E-16 6.4623E-16 -6.3485E-14 -8.4009E-13 -1.4771E-13 1.6966E-13 -1.0313E-16 -1.0965E-15 1.2335E-13 1.1803E-12 -1.9689E-16 -1.0313E-16 1.2784E-13 -3.9588E-14 -1.3314E-15 -4.2167E-16 6.4623E-16 -1.0965E-15 -3.9588E-14 1.6483E-14 -1.4737E-15 -8.2722E-15 -6.3485E-14 1.2335E-13 -1.3314E-15 -1.4737E-15 2.0844E-13 9.1784E-13 -8.4009E-13 1.1803E-12 -4.2167E-16 -8.2722E-15 9.1784E-13 9.1046E-12 # lat0 lon0 xBary yBary zBary JD0 -10.252274 24.723413 0.255915 -0.172059 -0.951927 2456568.793368 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 347.34183 +/- 0.057 Argument of Peri: 282.58090 +/- 0.069 Long of Asc Node: 117.21664 +/- 0.002 Inclination: 10.01497 +/- 0.000 Eccentricity: 0.09656344 +/- 0.0001 Semi-Major Axis: 43.66362182 +/- 0.0028 Time of Perihelion: 2460273.9957 +/- 19.3 Perihelion: 39.44731235 +/- 0.0035 Aphelion: 47.87993130 +/- 0.0039 Period (y) 288.5279 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.50379473 +/- 0.0006 Ecliptic Y 16.06908509 +/- 0.0003 Ecliptic Z -6.87352709 +/- 0.0001 Ecliptic XDOT -0.00124294 +/- 0.0000 Ecliptic YDOT 0.00257552 +/- 0.0000 Ecliptic ZDOT -0.00001282 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.57248401 +/- 0.0006 Geocenter to KBO 38.61880032 +/- 0.0007 # Hcoef: 7.21
The following table shows the complete astrometric record for 13TQ187. 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 (13TQ187) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.29259 01 46 33.802 +00 01 25.25 23.6g 13TQ187 W84 C~4yRD 2013 10 03.29259 01 46 33.81 +00 01 25.3 24.1g 13TQ187 W84 C~3clQ 2013 10 04.20181 01 46 29.706 +00 00 57.37 23.9g 13TQ187 W84 C~4yRD 2013 10 27.13113 01 44 41.287 -00 09 45.71 23.7g 13TQ187 W84 C~4yRD 2014 10 01.33657 01 52 31.312 +00 35 26.86 22.9r 13TQ187 W84 C~4yRD 2014 10 01.33657 01 52 31.31 +00 35 26.9 23.1r 13TQ187 W84 C~3clQ 2014 10 01.33794 01 52 31.304 +00 35 26.87 22.8i 13TQ187 W84 C~4yRD 2014 10 01.33794 01 52 31.30 +00 35 26.9 22.8i 13TQ187 W84 C~3clQ 2014 10 03.32771 01 52 22.515 +00 34 26.49 23.5g 13TQ187 W84 C~4yRD 2014 10 03.32907 01 52 22.501 +00 34 26.38 23.3r 13TQ187 W84 C~4yRD 2014 10 03.32907 01 52 22.50 +00 34 26.4 23.3r 13TQ187 W84 C~3clQ 2014 10 23.27656 01 50 48.860 +00 24 54.97 23.2r 13TQ187 W84 C~4yRD 2014 10 23.27656 01 50 48.86 +00 24 55.0 23.3r 13TQ187 W84 C~3clQ 2014 10 23.27793 01 50 48.853 +00 24 54.78 22.7i 13TQ187 W84 C~4yRD 2014 10 23.27793 01 50 48.85 +00 24 54.8 22.9i 13TQ187 W84 C~3clQ 2014 12 25.08913 01 46 58.139 +00 12 57.62 22.6z 13TQ187 W84 C~4yRD 2015 09 04.32065 01 59 57.060 +01 21 41.08 22.6z 13TQ187 W84 C~4yRD 2015 09 04.32065 01 59 57.06 +01 21 41.1 22.9z 13TQ187 W84 C~3clQ 2015 12 18.09932 01 52 55.10 +00 44 53.8 22.8z 13TQ187 W84 C~3clQ 2015 12 29.13643 01 52 34.832 +00 45 50.55 22.6z 13TQ187 W84 C~4yRD 2016 08 26.34885 02 06 01.137 +01 57 47.61 23.0r 13TQ187 W84 C~4yRD 2016 08 26.34885 02 06 01.14 +01 57 47.6 23.0r 13TQ187 W84 C~3clQ 2016 09 09.40021 02 05 26.251 +01 51 37.09 23.0i 13TQ187 W84 C~4yRD 2016 09 09.40021 02 05 26.25 +01 51 37.1 23.1i 13TQ187 W84 C~3clQ 2016 09 10.29943 02 05 23.503 +01 51 12.02 23.3g 13TQ187 W84 C~4yRD 2016 09 10.29943 02 05 23.50 +01 51 12.0 23.7g 13TQ187 W84 C~3clQ 2016 09 10.38751 02 05 23.235 +01 51 09.26 22.5z 13TQ187 W84 C~4yRD 2016 11 18.11643 02 00 21.267 +01 21 11.74 23.4r 13TQ187 W84 C~4yRD 2016 11 18.11643 02 00 21.26 +01 21 11.7 23.5r 13TQ187 W84 C~3clQ 2016 11 18.11780 02 00 21.268 +01 21 11.55 22.6i 13TQ187 W84 C~4yRD 2016 11 18.11780 02 00 21.27 +01 21 11.6 22.7i 13TQ187 W84 C~3clQ 2016 11 25.10776 01 59 52.009 +01 19 32.45 23.5g 13TQ187 W84 C~4yRD 2016 11 28.10726 01 59 40.214 +01 18 58.63 23.3r 13TQ187 W84 C~4yRD 2016 11 28.10726 01 59 40.21 +01 18 58.6 23.2r 13TQ187 W84 C~3clQ 2016 11 28.10864 01 59 40.217 +01 18 58.66 22.9i 13TQ187 W84 C~4yRD 2016 11 28.10864 01 59 40.22 +01 18 58.7 23.0i 13TQ187 W84 C~3clQ 2016 11 28.11001 01 59 40.214 +01 18 58.54 23.6g 13TQ187 W84 C~4yRD 2016 11 28.11001 01 59 40.21 +01 18 58.5 24.2g 13TQ187 W84 C~3clQ 2017 10 21.22416 02 08 22.233 +02 04 21.18 23.9g 13TQ187 W84 C~4yRD 2017 11 16.15429 02 06 18.507 +01 54 35.06 23.3r 13TQ187 W84 C~4yRD 2017 11 22.18429 02 05 52.040 +01 52 59.11 24.0g 13TQ187 W84 C~4yRD 2018 09 11.32738 02 16 55.091 +02 56 04.88 22.9i 13TQ187 W84 C~4yRD 2018 09 11.32877 02 16 55.083 +02 56 04.86 23.2r 13TQ187 W84 C~4yRD 2018 09 11.33014 02 16 55.083 +02 56 04.83 23.8g 13TQ187 W84 C~4yRD 2018 10 20.21247 02 14 17.302 +02 37 43.00 22.7z 13TQ187 W84 C~4yRD
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 0.05 0.00 0.14
2 0.0000 0.00 -0.07 0.00 0.09
3 0.0025 0.00 -0.02 0.00 -0.15
4 0.0653 0.00 -0.08 0.00 0.17
5 0.9940 0.00 -0.03 0.00 -0.00
6 0.9940 0.00 0.00 0.00 -0.04
7 0.9940 0.00 -0.02 0.00 0.01
8 0.9940 0.00 -0.08 0.00 0.04
9 0.9994 0.00 0.09 0.00 -0.05
10 0.9994 0.00 -0.05 0.00 -0.10
11 0.9994 0.00 -0.03 0.00 -0.12
12 1.0540 0.00 0.03 0.00 0.07
13 1.0540 0.00 0.03 0.00 0.04
14 1.0540 0.00 -0.02 0.00 -0.10
15 1.0540 0.00 0.03 0.00 -0.12
16 1.2260 0.00 0.14 0.00 -0.02
17 1.9193 0.00 0.04 0.00 0.01
18 1.9193 0.00 0.04 0.00 -0.01
19 2.2062 0.00 0.02 0.00 0.08
20 2.2364 0.00 0.11 0.00 -0.06
21 2.8968 0.00 -0.04 0.00 -0.04
22 2.8968 0.00 -0.08 0.00 -0.03
23 2.9353 0.00 0.07 0.00 -0.02
24 2.9353 0.00 0.08 0.00 -0.03
25 2.9377 0.00 -0.05 0.00 0.16
26 2.9377 0.00 -0.00 0.00 0.18
27 2.9380 0.00 0.17 0.00 -0.09
28 3.1261 0.00 -0.13 0.00 0.06
29 3.1261 0.00 -0.02 0.00 0.10
30 3.1261 0.00 0.11 0.00 -0.02
31 3.1261 0.00 0.08 0.00 -0.07
32 3.1453 0.00 0.07 0.00 -0.37
33 3.1535 0.00 -0.19 0.00 0.08
34 3.1535 0.00 -0.13 0.00 0.11
35 3.1535 0.00 0.04 0.00 0.19
36 3.1535 0.00 -0.00 0.00 0.15
37 3.1535 0.00 -0.03 0.00 0.01
38 3.1535 0.00 0.03 0.00 0.05
39 4.0491 0.00 -0.08 0.00 -0.22
40 4.1201 0.00 0.04 0.00 -0.04
41 4.1366 0.00 0.07 0.00 -0.04
42 4.9392 0.00 0.07 0.00 0.04
43 4.9392 0.00 0.01 0.00 0.06
44 4.9392 0.00 0.07 0.00 0.07
45 5.0456 0.00 -0.12 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.
13TQ187 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.918 43.918 43.919 ecceobj 0.101 0.101 0.101 incobj 10.014 10.014 10.014 qmin 37.872 37.871 37.882 qmax 49.577 49.604 49.598 amean 43.596 43.596 43.596 amin 43.235 43.236 43.234 amax 43.986 43.985 43.989 emean 0.107 0.107 0.107 emin 0.085 0.085 0.085 emax 0.128 0.128 0.129 imean 8.782 8.782 8.782 imin 7.861 7.860 7.860 imax 9.779 9.773 9.770 excite_mean 0.186 0.186 0.186 fracstop 1.000 1.000 1.000 cjmean 3.055 3.055 3.055 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 177.9 178.0 177.8 kozaiamp 179.9 180.0 179.9