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: 13TG172 # Created Fri Nov 22 02:09:41 2024 # Orbit generated from Bernstein formalism # Fitting 24 observations of 24 # Arc: 3.19y # First observation: 2013/09/08 # Last observation: 2016/11/18 Preliminary a, adot, b, bdot, g, gdot: -0.000066 0.038921 0.000008 0.003241 0.031036 0.000000 # Chi-squared of fit: 9.91 DOF: 42 RMS: 0.11 # Min/Max residuals: -0.26 0.32 # Exact a, adot, b, bdot, g, gdot: 1.925398E-05 3.937102E-02 2.902746E-06 3.282099E-03 3.142059E-02 2.523920E-03 # Covariance matrix: 4.1574E-13 -1.0595E-13 2.2346E-15 -1.3666E-14 4.0249E-13 -1.3309E-12 -1.0595E-13 8.3138E-13 -1.8271E-14 8.7122E-14 1.8210E-13 8.4001E-12 2.2346E-15 -1.8271E-14 8.9964E-14 -4.2845E-14 -3.4139E-15 -2.0032E-13 -1.3666E-14 8.7122E-14 -4.2845E-14 7.0041E-14 1.2355E-14 9.6104E-13 4.0249E-13 1.8210E-13 -3.4139E-15 1.2355E-14 5.8751E-13 1.1740E-12 -1.3309E-12 8.4001E-12 -2.0032E-13 9.6104E-13 1.1740E-12 9.2687E-11 # lat0 lon0 xBary yBary zBary JD0 -0.697303 7.030579 0.372033 -0.011322 -0.937219 2456543.693748 # Heliocentric elements and errors Epoch: 2456540.5000 = 2013/09/05 Mean Anomaly: 5.86953 +/- 0.026 Argument of Peri: 339.86320 +/- 0.054 Long of Asc Node: 14.47188 +/- 0.001 Inclination: 4.80287 +/- 0.000 Eccentricity: 0.32062832 +/- 0.0001 Semi-Major Axis: 47.97242320 +/- 0.0093 Time of Perihelion: 2454561.7707 +/- 8.7 Perihelion: 32.59110571 +/- 0.0094 Aphelion: 63.35374069 +/- 0.0141 Period (y) 332.2735 +/- 0.10 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.56004114 +/- 0.0008 Ecliptic Y 3.64378393 +/- 0.0001 Ecliptic Z -0.38723949 +/- 0.0000 Ecliptic XDOT -0.00020438 +/- 0.0000 Ecliptic YDOT 0.00343102 +/- 0.0000 Ecliptic ZDOT 0.00028343 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.76558248 +/- 0.0008 Geocenter to KBO 31.82626006 +/- 0.0008 # Hcoef: 8.05
The following table shows the complete astrometric record for 13TG172. 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 (13TG172) followed by the observatory code and reference code for the source of the astrometry.
2013 09 08.19297 00 26 55.523 +02 09 00.51 24.0g 13TG172 W84 C~4yR9 2013 09 09.20187 00 26 50.404 +02 08 29.27 23.9g 13TG172 W84 C~4yR9 2013 10 03.093067 00 24 41.80 +01 55 23.4 23.5g 13TG172 W84 C~35ba 2013 10 03.09360 00 24 41.804 +01 55 23.19 24.1g 13TG172 W84 C~4yR9 2013 10 13.09473 00 23 47.445 +01 49 55.16 21.7z 13TG172 W84 C~4yR9 2013 10 13.09473 00 23 47.46 +01 49 55.4 21.6z 13TG172 W84 C~3clO 2013 10 13.11927 00 23 47.318 +01 49 54.31 22.7i 13TG172 W84 C~4yR9 2013 10 13.11927 00 23 47.32 +01 49 54.3 22.7i 13TG172 W84 C~3clO 2013 11 08.16809 00 21 44.348 +01 37 49.13 23.0r 13TG172 W84 C~4yR9 2013 11 08.16809 00 21 44.35 +01 37 49.1 23.1r 13TG172 W84 C~3clO 2013 11 22.07262 00 20 58.514 +01 33 34.68 23.7r 13TG172 W84 C~4yR9 2013 11 22.07262 00 20 58.51 +01 33 34.7 23.7r 13TG172 W84 C~3clO 2013 11 22.07399 00 20 58.516 +01 33 34.67 23.5i 13TG172 W84 C~4yR9 2013 11 23.09272 00 20 55.870 +01 33 20.86 23.2r 13TG172 W84 C~4yR9 2013 11 23.09272 00 20 55.87 +01 33 20.8 23.3r 13TG172 W84 C~3clO 2013 11 23.09414 00 20 55.862 +01 33 20.72 22.8i 13TG172 W84 C~4yR9 2013 11 23.09414 00 20 55.86 +01 33 20.7 22.9i 13TG172 W84 C~3clO 2014 10 21.22060 00 31 05.407 +02 49 31.36 23.0i 13TG172 W84 C~4yR9 2014 10 21.22060 00 31 05.41 +02 49 31.3 23.3i 13TG172 W84 C~3clO 2014 10 29.19088 00 30 25.946 +02 45 37.18 23.3r 13TG172 W84 C~4yR9 2014 10 29.19088 00 30 25.95 +02 45 37.2 23.4r 13TG172 W84 C~3clO 2016 11 18.12288 00 44 48.568 +04 42 31.16 23.1i 13TG172 W84 C~4yR9 2016 11 18.12288 00 44 48.57 +04 42 31.2 23.1i 13TG172 W84 C~3clP 2016 11 18.12426 00 44 48.559 +04 42 30.98 23.2z 13TG172 W84 C~4yR9
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 0.12 0.00 -0.26
2 0.0028 -82.83 -0.26 1.62 -0.06
3 0.0682 -2164.39 -0.13 41.68 0.03
4 0.0682 -2164.42 -0.11 41.46 -0.19
5 0.0956 -3042.80 0.02 62.44 0.12
6 0.0956 -3042.50 0.32 62.57 0.26
7 0.0956 -3044.89 0.07 62.41 0.03
8 0.0956 -3044.86 0.10 62.39 0.01
9 0.1669 -5025.83 0.10 125.80 -0.02
10 0.1669 -5025.84 0.09 125.84 0.02
11 0.2050 -5758.22 -0.21 164.24 0.03
12 0.2050 -5758.18 -0.16 164.19 -0.01
13 0.2050 -5758.15 -0.08 164.17 -0.04
14 0.2078 -5800.11 0.08 167.14 0.01
15 0.2078 -5800.09 0.10 167.20 0.06
16 0.2078 -5800.29 -0.04 167.11 -0.03
17 0.2078 -5800.25 -0.00 167.12 -0.02
18 1.1171 4400.85 0.11 755.41 -0.01
19 1.1171 4400.83 0.09 755.48 0.06
20 1.1389 3764.99 -0.07 773.44 0.04
21 1.1389 3764.93 -0.13 773.44 0.05
22 3.1949 18442.68 0.07 2157.92 0.04
23 3.1949 18442.63 0.02 2157.90 0.01
24 3.1949 18442.44 -0.09 2157.78 -0.11
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.
13TG172 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 48.325 48.358 48.293 ecceobj 0.326 0.327 0.326 incobj 4.793 4.793 4.793 qmin 31.827 31.908 31.812 qmax 64.968 65.027 64.915 amean 47.795 47.796 47.794 amin 47.043 47.072 47.107 amax 48.637 48.675 48.624 emean 0.318 0.318 0.319 emin 0.297 0.303 0.304 emax 0.336 0.336 0.335 imean 5.016 5.050 5.239 imin 4.800 4.815 4.879 imax 5.266 5.293 5.696 excite_mean 0.330 0.330 0.332 fracstop 1.000 1.000 1.000 cjmean 3.009 3.009 3.008 libcent 0 180.1 180.2 180.0 libamp 0 158.0 154.5 152.4 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 171.7 175.9 172.7 kozaiamp 180.0 180.0 180.0