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: 13TH187 # Created Wed Dec 25 02:09:38 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 27 observations of 27 # Arc: 12.05y # First observation: 2005/08/09 # Last observation: 2017/08/28 # Chi-squared of fit: 7.61 DOF: 48 RMS: 0.09 # Min/Max residuals: -0.18 0.26 # Exact a, adot, b, bdot, g, gdot: 1.555982E-05 2.425577E-02 6.142651E-07 7.103811E-05 2.432436E-02 8.091534E-04 # Covariance matrix: 4.8718E-13 -1.0314E-13 1.2797E-16 -1.6490E-16 -5.3993E-14 -2.1627E-13 -1.0314E-13 1.1550E-13 -2.5693E-16 3.5544E-16 2.1583E-13 3.7259E-13 1.2797E-16 -2.5693E-16 4.2284E-13 -4.2270E-14 -5.2903E-16 -8.6006E-16 -1.6490E-16 3.5544E-16 -4.2270E-14 4.8237E-15 7.5732E-16 1.1853E-15 -5.3993E-14 2.1583E-13 -5.2903E-16 7.5732E-16 5.5662E-13 7.0281E-13 -2.1627E-13 3.7259E-13 -8.6006E-16 1.1853E-15 7.0281E-13 1.2585E-12 # lat0 lon0 xBary yBary zBary JD0 -2.880862 2.649496 0.728595 -0.035476 -0.707289 2453591.685953 # Heliocentric elements and errors Epoch: 2453592.5000 = 2005/08/10 Mean Anomaly: 17.50473 +/- 0.062 Argument of Peri: 252.99409 +/- 0.069 Long of Asc Node: 89.24166 +/- 0.003 Inclination: 2.83442 +/- 0.000 Eccentricity: 0.05197426 +/- 0.0001 Semi-Major Axis: 43.98934272 +/- 0.0046 Time of Perihelion: 2448410.7952 +/- 18.3 Perihelion: 41.70302898 +/- 0.0050 Aphelion: 46.27565647 +/- 0.0054 Period (y) 291.7625 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.75209138 +/- 0.0013 Ecliptic Y 1.20229594 +/- 0.0001 Ecliptic Z -2.06619059 +/- 0.0001 Ecliptic XDOT -0.00003335 +/- 0.0000 Ecliptic YDOT 0.00272461 +/- 0.0000 Ecliptic ZDOT 0.00000344 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.82046037 +/- 0.0013 Geocenter to KBO 41.11104910 +/- 0.0013 # Hcoef: 7.18
The following table shows the complete astrometric record for 13TH187. 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 (13TH187) followed by the observatory code and reference code for the source of the astrometry.
2005 08 09.18521 00 14 18.26 -01 35 24.1 22.2R 13TH187 807 C~3clQ 2005 08 10.16987 00 14 15.52 -01 35 44.8 13TH187 807 C~3clQ 2005 08 10.30462 00 14 15.14 -01 35 47.8 13TH187 807 C~3clQ 2013 09 29.23112 00 51 54.810 +02 29 54.39 23.8r 13TH187 W84 C~4yRC 2013 10 11.21533 00 51 01.154 +02 24 17.91 24.4g 13TH187 W84 C~4yRC 2013 10 13.10477 00 50 52.725 +02 23 26.04 22.7z 13TH187 W84 C~4yRC 2013 10 13.14869 00 50 52.54 +02 23 24.7 23.0i 13TH187 W84 C~3clQ 2013 11 08.18539 00 49 04.755 +02 12 50.68 23.5r 13TH187 W84 C~4yRC 2013 11 08.18675 00 49 04.745 +02 12 50.74 22.8i 13TH187 W84 C~4yRC 2013 11 22.13050 00 48 19.622 +02 08 49.67 23.5i 13TH187 W84 C~4yRD 2013 11 22.13189 00 48 19.616 +02 08 49.59 22.9z 13TH187 W84 C~4yRD 2014 08 18.32090 00 59 34.669 +03 20 27.66 23.0i 13TH187 W84 C~4yRD 2014 10 21.21035 00 55 23.522 +02 53 04.98 23.6r 13TH187 W84 C~4yRD 2014 11 13.07356 00 53 52.464 +02 44 22.51 24.4g 13TH187 W84 C~4yRD 2014 11 13.08217 00 53 52.424 +02 44 22.16 23.2r 13TH187 W84 C~4yRD 2015 11 07.10209 00 59 19.200 +03 19 22.85 23.5r 13TH187 W84 C~4yRD 2015 11 07.10346 00 59 19.192 +03 19 22.67 23.5i 13TH187 W84 C~4yRD 2015 11 07.10484 00 59 19.203 +03 19 22.75 24.3g 13TH187 W84 C~4yRD 2016 08 26.37683 01 09 17.566 +04 22 49.52 23.3i 13TH187 W84 C~4yRD 2016 08 26.37821 01 09 17.551 +04 22 49.52 23.1z 13TH187 W84 C~4yRD 2016 09 01.36467 01 08 59.034 +04 20 39.73 23.1i 13TH187 W84 C~4yRD 2016 09 01.36604 01 08 59.036 +04 20 39.82 23.6r 13TH187 W84 C~4yRD 2016 09 01.36741 01 08 59.011 +04 20 39.66 24.2g 13TH187 W84 C~4yRD 2016 11 05.16171 01 04 27.874 +03 52 35.63 23.0r 13TH187 W84 C~4yRD 2016 11 05.16308 01 04 27.870 +03 52 35.40 22.7i 13TH187 W84 C~4yRD 2017 08 28.28950 01 14 15.759 +04 54 36.17 23.3r 13TH187 W84 C~4yRD 2017 08 28.29088 01 14 15.757 +04 54 36.28 22.9i 13TH187 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 0.09 0.00 -0.09
2 0.0027 0.00 -0.10 0.00 0.14
3 0.0031 0.00 0.01 0.00 0.03
4 8.1398 0.00 -0.04 0.00 -0.02
5 8.1726 0.00 -0.12 0.00 0.01
6 8.1777 0.00 -0.09 0.00 0.05
7 8.1779 0.00 0.12 0.00 -0.09
8 8.2491 0.00 0.11 0.00 -0.07
9 8.2491 0.00 0.03 0.00 0.01
10 8.2873 0.00 0.02 0.00 0.05
11 8.2873 0.00 -0.01 0.00 -0.01
12 9.0243 0.00 0.01 0.00 0.04
13 9.1992 0.00 -0.17 0.00 -0.10
14 9.2618 0.00 0.26 0.00 0.01
15 9.2619 0.00 0.12 0.00 -0.18
16 10.2448 0.00 -0.08 0.00 0.01
17 10.2448 0.00 -0.12 0.00 -0.14
18 10.2448 0.00 0.13 0.00 -0.03
19 11.0478 0.00 0.10 0.00 0.06
20 11.0478 0.00 -0.07 0.00 0.09
21 11.0641 0.00 0.04 0.00 0.03
22 11.0642 0.00 0.14 0.00 0.15
23 11.0642 0.00 -0.17 0.00 0.03
24 11.2416 0.00 -0.05 0.00 0.14
25 11.2416 0.00 -0.03 0.00 -0.06
26 12.0523 0.00 -0.01 0.00 -0.08
27 12.0523 0.00 0.02 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.
13TH187 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.507 44.507 44.507 ecceobj 0.062 0.062 0.062 incobj 2.834 2.834 2.834 qmin 40.921 40.921 40.922 qmax 47.764 47.772 47.753 amean 44.233 44.233 44.233 amin 43.887 43.887 43.886 amax 44.587 44.587 44.586 emean 0.056 0.056 0.056 emin 0.041 0.041 0.041 emax 0.072 0.072 0.071 imean 1.150 1.150 1.150 imin 0.457 0.457 0.457 imax 1.705 1.705 1.705 excite_mean 0.060 0.060 0.060 fracstop 1.000 1.000 1.000 cjmean 3.100 3.100 3.100 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 164.4 164.3 164.3 kozaiamp 180.0 180.0 180.0