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: 13TF187 # Created Sun Dec 22 02:09:43 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 25 observations of 25 # Arc: 6.24y # First observation: 2013/09/02 # Last observation: 2019/11/28 # Chi-squared of fit: 14.70 DOF: 44 RMS: 0.14 # Min/Max residuals: -0.54 0.21 # Exact a, adot, b, bdot, g, gdot: 1.744372E-05 3.054432E-02 -5.917746E-07 3.776919E-04 2.768959E-02 3.185837E-03 # Covariance matrix: 3.0369E-13 -1.2222E-13 1.4129E-16 -1.4072E-15 1.6435E-13 -6.1381E-13 -1.2222E-13 1.8020E-13 -1.2553E-15 2.6092E-15 -1.8035E-14 1.1636E-12 1.4129E-16 -1.2553E-15 1.3713E-13 -3.0437E-14 -5.8645E-16 -8.7782E-15 -1.4072E-15 2.6092E-15 -3.0437E-14 1.1961E-14 -2.5799E-16 1.8045E-14 1.6435E-13 -1.8035E-14 -5.8645E-16 -2.5799E-16 2.0688E-13 -9.6822E-14 -6.1381E-13 1.1636E-12 -8.7782E-15 1.8045E-14 -9.6822E-14 8.0499E-12 # lat0 lon0 xBary yBary zBary JD0 -2.341235 7.852477 0.477382 -0.036278 -0.889411 2456537.776398 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 24.90847 +/- 0.015 Argument of Peri: 250.90530 +/- 0.024 Long of Asc Node: 80.76113 +/- 0.005 Inclination: 2.38105 +/- 0.000 Eccentricity: 0.17611947 +/- 0.0001 Semi-Major Axis: 43.67209826 +/- 0.0047 Time of Perihelion: 2449244.7814 +/- 4.6 Perihelion: 35.98059138 +/- 0.0060 Aphelion: 51.36360514 +/- 0.0072 Period (y) 288.6119 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.69284134 +/- 0.0006 Ecliptic Y 4.58178444 +/- 0.0001 Ecliptic Z -1.47534675 +/- 0.0000 Ecliptic XDOT -0.00010550 +/- 0.0000 Ecliptic YDOT 0.00303391 +/- 0.0000 Ecliptic ZDOT 0.00002458 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.00715943 +/- 0.0006 Geocenter to KBO 36.11461915 +/- 0.0006 # Hcoef: 7.62
The following table shows the complete astrometric record for 13TF187. 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 (13TF187) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.27562 00 32 32.512 +00 57 49.57 24.0g 13TF187 W84 C~4yRC 2013 09 11.30288 00 31 52.658 +00 53 19.94 24.2g 13TF187 W84 C~4yRC 2013 10 13.10179 00 29 17.50 +00 36 42.5 22.5z 13TF187 W84 C~3clP 2013 10 13.11209 00 29 17.467 +00 36 42.26 22.7i 13TF187 W84 C~4yRC 2013 10 28.07505 00 28 08.577 +00 29 45.20 23.1r 13TF187 W84 C~4yRC 2013 11 22.08391 00 26 40.680 +00 21 34.65 24.0g 13TF187 W84 C~4yRC 2013 11 22.09533 00 26 40.652 +00 21 34.67 23.2r 13TF187 W84 C~4yRC 2013 11 22.09673 00 26 40.642 +00 21 34.71 22.5i 13TF187 W84 C~4yRC 2013 11 23.10780 00 26 38.077 +00 21 21.91 23.7r 13TF187 W84 C~4yRC 2013 11 23.10919 00 26 38.067 +00 21 21.95 23.0i 13TF187 W84 C~4yRC 2014 10 29.20908 00 34 27.854 +01 11 51.02 23.2r 13TF187 W84 C~4yRC 2016 09 05.32440 00 51 20.297 +03 02 20.13 22.3r 13TF187 W84 C~4yRC 2016 09 05.32577 00 51 20.341 +03 02 20.24 24.0g 13TF187 W84 C~4yRC 2016 11 25.06487 00 45 26.236 +02 26 23.27 23.3r 13TF187 W84 C~4yRC 2016 11 25.06625 00 45 26.241 +02 26 22.98 23.2i 13TF187 W84 C~4yRC 2017 08 28.28126 00 58 07.752 +03 47 05.87 23.0r 13TF187 W84 C~4yRC 2017 08 28.28264 00 58 07.746 +03 47 05.79 22.7i 13TF187 W84 C~4yRC 2017 09 27.23225 00 55 59.103 +03 33 00.26 23.4r 13TF187 W84 C~4yRC 2017 09 27.23363 00 55 59.098 +03 33 00.28 22.3i 13TF187 W84 C~4yRC 2017 09 27.23499 00 55 59.099 +03 33 00.09 23.3g 13TF187 W84 C~4yRC 2018 09 14.33468 01 03 15.658 +04 20 29.63 23.4i 13TF187 W84 C~4yRC 2018 09 14.33605 01 03 15.648 +04 20 29.67 24.3g 13TF187 W84 C~4yRC 2019 11 28.22784 01 03 57.33 +04 28 12.4 24.3g 13TF187 T09 C~7bIE 2019 11 28.30377 01 03 57.11 +04 28 11.2 24.5g 13TF187 T09 C~7bIE 2019 11 28.44994 01 03 56.66 +04 28 09.3 25.1g 13TF187 T09 C~7bIE
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 0.15
2 0.0247 0.00 0.21 0.00 -0.00
3 0.1118 0.00 -0.19 0.00 -0.06
4 0.1118 0.00 0.08 0.00 0.01
5 0.1528 0.00 -0.12 0.00 0.10
6 0.2212 0.00 0.06 0.00 -0.17
7 0.2213 0.00 0.09 0.00 0.00
8 0.2213 0.00 -0.00 0.00 0.06
9 0.2240 0.00 0.00 0.00 0.03
10 0.2240 0.00 -0.09 0.00 0.09
11 1.1552 0.00 -0.02 0.00 0.01
12 3.0090 0.00 -0.54 0.00 -0.34
13 3.0090 0.00 0.21 0.00 -0.19
14 3.2301 0.00 0.03 0.00 0.11
15 3.2301 0.00 0.16 0.00 -0.16
16 3.9863 0.00 0.07 0.00 0.08
17 3.9863 0.00 0.06 0.00 0.03
18 4.0683 0.00 0.04 0.00 0.04
19 4.0683 0.00 0.07 0.00 0.10
20 4.0683 0.00 0.18 0.00 -0.05
21 5.0323 0.00 0.06 0.00 0.01
22 5.0323 0.00 -0.00 0.00 0.09
23 6.2367 0.00 -0.13 0.00 -0.02
24 6.2369 0.00 0.03 0.00 -0.09
25 6.2373 0.00 -0.11 0.00 0.19
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.
13TF187 quality flag:3 Type: 7:4EEE 7:4EEE 7:4EEE axisobj 43.948 43.948 43.947 ecceobj 0.182 0.182 0.182 incobj 2.382 2.382 2.382 qmin 35.245 35.245 35.245 qmax 52.549 52.549 52.549 amean 43.727 43.727 43.727 amin 43.334 43.333 43.332 amax 44.205 44.205 44.204 emean 0.176 0.176 0.176 emin 0.160 0.160 0.161 emax 0.191 0.191 0.191 imean 1.196 1.198 1.195 imin 0.297 0.297 0.297 imax 2.112 2.114 2.110 excite_mean 0.178 0.178 0.178 fracstop 1.000 1.000 1.000 cjmean 3.060 3.060 3.060 libcent 0 178.2 178.4 177.9 libamp 0 54.3 54.2 54.3 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 176.3 176.3 176.3 kozaiamp 179.9 179.9 179.9