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: 13TD172
# Created Tue Jan 21 02:09:52 2025
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 28 observations of 28
# Arc: 10.99y
# First observation: 2013/10/04
# Last observation: 2024/10/01
# Chi-squared of fit: 12.80 DOF: 50 RMS: 0.12
# Min/Max residuals: -0.30 0.35
# Exact a, adot, b, bdot, g, gdot:
1.414466E-05 2.459228E-02 2.962140E-06 4.781639E-03 2.519969E-02 -3.972271E-03
# Covariance matrix:
3.0570E-13 1.1042E-14 -5.8043E-15 9.1915E-15 4.8763E-13 1.6129E-13
1.1042E-14 5.8596E-14 -8.7737E-15 1.2177E-14 1.3739E-13 2.1563E-13
-5.8043E-15 -8.7737E-15 9.0338E-14 -1.1898E-14 -2.6770E-14 -3.4728E-14
9.1915E-15 1.2177E-14 -1.1898E-14 5.2987E-15 3.9525E-14 4.8636E-14
4.8763E-13 1.3739E-13 -2.6770E-14 3.9525E-14 1.2476E-12 6.9683E-13
1.6129E-13 2.1563E-13 -3.4728E-14 4.8636E-14 6.9683E-13 8.6068E-13
# lat0 lon0 xBary yBary zBary JD0
0.311281 7.520408 -0.056375 0.005531 -0.998755 2456569.653808
# Heliocentric elements and errors
Epoch: 2456570.5000 = 2013/10/05
Mean Anomaly: 294.81964 +/- 0.032
Argument of Peri: 85.04927 +/- 0.042
Long of Asc Node: 6.04240 +/- 0.000
Inclination: 11.00884 +/- 0.000
Eccentricity: 0.16348700 +/- 0.0001
Semi-Major Axis: 42.57742592 +/- 0.0079
Time of Perihelion: 2474943.5723 +/- 24.8
Perihelion: 35.61657017 +/- 0.0072
Aphelion: 49.53828167 +/- 0.0096
Period (y) 277.8288 +/- 0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 40.32338529 +/- 0.0017
Ecliptic Y 5.38321509 +/- 0.0002
Ecliptic Z 0.21568563 +/- 0.0000
Ecliptic XDOT -0.00078651 +/- 0.0000
Ecliptic YDOT 0.00259066 +/- 0.0000
Ecliptic ZDOT 0.00051729 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.68180174 +/- 0.0017
Geocenter to KBO 39.68315662 +/- 0.0018
# Hcoef: 6.80
The following table shows the complete astrometric record for 13TD172. 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 (13TD172) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.15303 00 27 07.914 +03 16 12.68 23.5g 13TD172 W84 C~4yR8 2013 10 13.09336 00 26 26.438 +03 12 11.00 22.3z 13TD172 W84 C~4yR8 2013 10 13.12065 00 26 26.316 +03 12 10.36 22.6i 13TD172 W84 C~4yR8 2013 10 28.06792 00 25 21.469 +03 05 53.34 23.0r 13TD172 W84 C~4yR8 2013 11 08.16809 00 24 39.581 +03 01 52.59 23.1r 13TD172 W84 C~4yR8 2013 11 22.07536 00 23 58.110 +02 57 59.81 22.7r 13TD172 W84 C~4yR9 2013 11 22.07674 00 23 58.107 +02 58 00.13 22.1i 13TD172 W84 C~4yR9 2013 11 22.12663 00 23 57.987 +02 57 59.08 22.5z 13TD172 W84 C~4yR9 2013 11 23.10640 00 23 55.605 +02 57 46.05 22.5i 13TD172 W84 C~4yR9 2014 10 21.21921 00 30 36.775 +03 57 19.64 22.8r 13TD172 W84 C~4yR9 2014 10 27.19966 00 30 11.014 +03 54 49.47 23.3g 13TD172 W84 C~4yR9 2014 10 28.17823 00 30 06.963 +03 54 26.01 23.1r 13TD172 W84 C~4yR9 2014 10 28.18239 00 30 06.949 +03 54 26.03 23.8g 13TD172 W84 C~4yR9 2014 10 29.12351 00 30 03.078 +03 54 03.35 22.9z 13TD172 W84 C~4yR9 2014 10 29.17651 00 30 02.845 +03 54 02.18 22.5i 13TD172 W84 C~4yR9 2014 10 29.19088 00 30 02.794 +03 54 01.64 23.0r 13TD172 W84 C~4yR9 2014 11 13.09695 00 29 07.642 +03 48 42.40 22.9z 13TD172 W84 C~4yR9 2014 11 15.10387 00 29 01.258 +03 48 05.96 22.8z 13TD172 W84 C~4yR9 2019 10 26.113940 00 54 46.949 +08 01 42.78 22.6G 13TD172 G37 C~3clO 2019 10 26.182540 00 54 46.629 +08 01 40.81 13TD172 G37 C~3clO 2019 11 27.176060 00 52 44.221 +07 49 32.83 23.1G 13TD172 G37 C~3clO 2019 11 27.237880 00 52 44.033 +07 49 31.75 13TD172 G37 C~3clO 2024 09 10.428155 01 24 28.626 +12 30 35.53 22.5w 13TD172 F51 C~8Fv1 2024 09 10.441006 01 24 28.596 +12 30 35.17 22.5w 13TD172 F51 C~8Fv1 2024 09 10.453956 01 24 28.528 +12 30 35.19 22.4w 13TD172 F51 C~8Fv1 2024 10 01.356120 01 22 55.236 +12 23 21.81 22.8G 13TD172 G37 C~8Gz6 2024 10 01.399790 01 22 55.014 +12 23 20.70 13TD172 G37 C~8Gz6 2024 10 01.443670 01 22 54.803 +12 23 19.54 13TD172 G37 C~8Gz6
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 0.24 0.00 0.11
2 0.0245 0.00 -0.04 0.00 -0.14
3 0.0246 0.00 0.03 0.00 -0.06
4 0.0655 0.00 0.13 0.00 -0.10
5 0.0959 0.00 0.03 0.00 0.07
6 0.1339 0.00 -0.12 0.00 0.02
7 0.1339 0.00 -0.11 0.00 0.35
8 0.1341 0.00 -0.00 0.00 -0.02
9 0.1368 0.00 -0.02 0.00 -0.07
10 1.0460 0.00 0.12 0.00 0.01
11 1.0624 0.00 -0.30 0.00 -0.27
12 1.0651 0.00 0.02 0.00 -0.01
13 1.0651 0.00 0.07 0.00 0.11
14 1.0677 0.00 0.11 0.00 -0.00
15 1.0678 0.00 -0.07 0.00 0.09
16 1.0679 0.00 0.07 0.00 -0.11
17 1.1087 0.00 -0.17 0.00 -0.07
18 1.1142 0.00 -0.01 0.00 0.13
19 6.0588 0.00 -0.10 0.00 0.06
20 6.0589 0.00 -0.10 0.00 -0.08
21 6.1465 0.00 0.22 0.00 0.00
22 6.1467 0.00 0.07 0.00 -0.02
23 10.9357 0.00 -0.20 0.00 0.07
24 10.9358 0.00 0.13 0.00 -0.08
25 10.9358 0.00 -0.10 0.00 0.16
26 10.9930 0.00 0.07 0.00 0.03
27 10.9931 0.00 -0.03 0.00 -0.03
28 10.9933 0.00 0.05 0.00 -0.13
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.
13TD172 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 42.801 42.801 42.801 ecceobj 0.163 0.163 0.163 incobj 10.973 10.973 10.973 qmin 33.859 33.947 33.863 qmax 51.546 51.741 51.540 amean 42.587 42.587 42.586 amin 42.133 42.120 42.152 amax 43.046 43.033 43.052 emean 0.168 0.167 0.168 emin 0.141 0.142 0.141 emax 0.201 0.203 0.201 imean 7.007 6.940 7.008 imin 2.484 2.360 2.459 imax 11.985 11.985 11.984 excite_mean 0.212 0.211 0.212 fracstop 1.000 1.000 1.000 cjmean 3.029 3.030 3.029 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 179.2 179.1 179.7 kozaiamp 180.0 180.0 180.0