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: 13TC172
# Created Sun Nov 24 02:09:38 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 33 observations of 33
# Arc: 21.94y
# First observation: 2000/09/19
# Last observation: 2022/08/27
# Chi-squared of fit: 15.61 DOF: 60 RMS: 0.12
# Min/Max residuals: -0.27 0.36
# Exact a, adot, b, bdot, g, gdot:
1.432461E-05 2.112995E-02 -2.435201E-07 2.154068E-03 2.285535E-02 -1.047097E-03
# Covariance matrix:
6.6452E-13 -8.4416E-14 3.3325E-14 -6.4911E-15 -7.7811E-14 -1.1121E-13
-8.4416E-14 1.4150E-14 -6.6449E-15 1.3154E-15 2.5536E-14 2.2585E-14
3.3325E-14 -6.6449E-15 3.4600E-13 -2.2082E-14 -1.2171E-14 -1.1836E-14
-6.4911E-15 1.3154E-15 -2.2082E-14 1.6454E-15 3.0781E-15 2.3618E-15
-7.7811E-14 2.5536E-14 -1.2171E-14 3.0781E-15 3.6459E-13 5.4392E-14
-1.1121E-13 2.2585E-14 -1.1836E-14 2.3618E-15 5.4392E-14 4.0595E-14
# lat0 lon0 xBary yBary zBary JD0
4.842509 -29.352286 -0.431465 0.075887 -0.898192 2451806.649513
# Heliocentric elements and errors
Epoch: 2451806.5000 = 2000/09/19
Mean Anomaly: 247.92853 +/- 0.094
Argument of Peri: 156.45805 +/- 0.083
Long of Asc Node: 291.98359 +/- 0.001
Inclination: 7.47645 +/- 0.000
Eccentricity: 0.04740513 +/- 0.0000
Semi-Major Axis: 43.79407640 +/- 0.0043
Time of Perihelion: 2484760.9487 +/- 29.7
Perihelion: 41.71801266 +/- 0.0043
Aphelion: 45.87014014 +/- 0.0047
Period (y) 289.8219 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 39.00325683 +/- 0.0010
Ecliptic Y -21.43118951 +/- 0.0006
Ecliptic Z 3.69356288 +/- 0.0001
Ecliptic XDOT 0.00110536 +/- 0.0000
Ecliptic YDOT 0.00228326 +/- 0.0000
Ecliptic ZDOT 0.00024668 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.65640836 +/- 0.0009
Geocenter to KBO 43.75349683 +/- 0.0012
# Hcoef: 6.68
The following table shows the complete astrometric record for 13TC172. 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 (13TC172) followed by the observatory code and reference code for the source of the astrometry.
2000 09 19.14877 22 03 56.61 -06 42 34.0 22.8R 13TC172 695 C~59k2 2000 09 19.24489 22 03 56.24 -06 42 36.6 13TC172 695 C~59k2 2009 09 16.312395 22 43 42.97 -01 43 31.8 23.1r 13TC172 645 C~4pUa 2009 09 16.313224 22 43 42.97 -01 43 31.7 22.6i 13TC172 645 C~4pUa 2009 09 16.314054 22 43 42.98 -01 43 31.8 24.7u 13TC172 645 C~4pUa 2009 09 16.314883 22 43 42.98 -01 43 31.8 22.4z 13TC172 645 C~4pUa 2009 09 16.315712 22 43 42.98 -01 43 32.0 24.2g 13TC172 645 C~4pUa 2013 09 06.454230 23 02 10.00 +00 36 48.3 22.7i 13TC172 568 C~4pUa 2013 09 06.469575 23 02 09.94 +00 36 48.2 23.4g 13TC172 568 C~4pUa 2013 09 06.486858 23 02 09.85 +00 36 47.7 23.0r 13TC172 568 C~4pUa 2013 09 11.242419 23 01 49.47 +00 34 43.9 23.9g 13TC172 W84 C~39oe 2013 09 29.185046 23 00 35.26 +00 26 40.3 22.8r 13TC172 W84 C~39oe 2013 09 29.186435 23 00 35.26 +00 26 40.2 22.6i 13TC172 W84 C~39oe 2013 09 30.097315 23 00 31.71 +00 26 15.6 22.7r 13TC172 W84 C~39oe 2013 09 30.098785 23 00 31.71 +00 26 15.5 22.5i 13TC172 W84 C~39oe 2013 10 11.090127 22 59 51.45 +00 21 25.5 22.3z 13TC172 W84 C~352D 2013 10 12.062037 22 59 48.16 +00 21 00.7 22.7i 13TC172 W84 C~352D 2013 10 12.063414 22 59 48.16 +00 21 00.6 22.5z 13TC172 W84 C~352D 2013 10 28.011736 22 59 01.90 +00 14 44.5 22.7i 13TC172 W84 C~352D 2013 10 28.023102 22 59 01.87 +00 14 44.3 23.0r 13TC172 W84 C~352D 2015 11 08.033299 23 07 28.45 +01 18 48.4 23.3r 13TC172 W84 C~4pUa 2015 11 08.036042 23 07 28.45 +01 18 48.2 23.6g 13TC172 W84 C~4pUa 2017 07 30.251973 23 22 24.57 +03 05 23.9 23.6g 13TC172 W84 C~4pUa 2017 07 30.285573 23 22 24.48 +03 05 23.6 23.7g 13TC172 W84 C~4pUa 2018 09 14.143362 23 23 58.41 +03 24 15.9 22.7r 13TC172 W84 C~4pUa 2018 09 14.144583 23 23 58.40 +03 24 15.8 23.4g 13TC172 W84 C~4pUa 2019 09 27.24278 23 27 34.53 +03 52 33.9 24.5g 13TC172 T09 C~7bID 2019 09 27.25330 23 27 34.48 +03 52 33.4 24.3g 13TC172 T09 C~7bID 2019 09 27.37471 23 27 33.97 +03 52 30.4 24.2g 13TC172 T09 C~7bID 2019 09 27.46797 23 27 33.57 +03 52 27.4 24.1g 13TC172 T09 C~7bID 2022 08 27.375820 23 43 23.883 +05 48 05.79 23.1G 13TC172 G37 C~5nHe 2022 08 27.408830 23 43 23.745 +05 48 05.23 13TC172 G37 C~5nHe 2022 08 27.443630 23 43 23.602 +05 48 04.42 13TC172 G37 C~5nHe
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 0.36
2 0.0003 0.00 -0.13 0.00 -0.06
3 8.9916 0.00 -0.12 0.00 -0.07
4 8.9916 0.00 -0.07 0.00 0.05
5 8.9916 0.00 0.13 0.00 -0.03
6 8.9916 0.00 0.19 0.00 -0.01
7 8.9916 0.00 0.24 0.00 -0.19
8 12.9646 0.00 -0.03 0.00 -0.15
9 12.9646 0.00 0.08 0.00 0.14
10 12.9646 0.00 -0.14 0.00 0.08
11 12.9777 0.00 0.06 0.00 -0.00
12 13.0268 0.00 -0.13 0.00 0.01
13 13.0268 0.00 -0.05 0.00 -0.06
14 13.0293 0.00 -0.11 0.00 -0.08
15 13.0293 0.00 -0.02 0.00 -0.14
16 13.0594 0.00 -0.03 0.00 -0.00
17 13.0620 0.00 -0.03 0.00 0.02
18 13.0621 0.00 0.04 0.00 -0.04
19 13.1057 0.00 0.02 0.00 -0.05
20 13.1057 0.00 -0.01 0.00 -0.01
21 15.1345 0.00 0.22 0.00 -0.01
22 15.1345 0.00 0.29 0.00 -0.15
23 16.8600 0.00 -0.00 0.00 -0.06
24 16.8601 0.00 0.17 0.00 0.01
25 17.9849 0.00 -0.20 0.00 0.16
26 17.9849 0.00 -0.27 0.00 0.09
27 19.0201 0.00 0.03 0.00 0.02
28 19.0201 0.00 -0.06 0.00 -0.18
29 19.0205 0.00 0.05 0.00 0.24
30 19.0207 0.00 0.01 0.00 -0.13
31 21.9363 0.00 0.04 0.00 0.04
32 21.9364 0.00 -0.04 0.00 0.16
33 21.9365 0.00 -0.08 0.00 0.07
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.
13TC172 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.892 43.892 43.892 ecceobj 0.046 0.046 0.046 incobj 7.469 7.469 7.469 qmin 40.176 39.015 40.693 qmax 47.435 48.710 46.953 amean 43.726 43.730 43.725 amin 43.342 43.359 43.370 amax 44.096 44.105 44.105 emean 0.052 0.052 0.047 emin 0.034 0.029 0.027 emax 0.078 0.106 0.066 imean 8.841 8.866 8.950 imin 7.978 8.056 8.208 imax 9.614 9.616 9.612 excite_mean 0.162 0.163 0.163 fracstop 1.000 1.000 1.000 cjmean 3.066 3.066 3.066 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 186.6 176.8 181.4 kozaiamp 179.9 180.0 180.0