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: 13TF229 # Created Fri Apr 26 01:15:29 2024 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 1.10y # First observation: 2013/10/13 # Last observation: 2014/11/18 Preliminary a, adot, b, bdot, g, gdot: 0.000032 0.019958 0.000000 0.005066 0.023272 0.000000 # Chi-squared of fit: 1.63 DOF: 20 RMS: 0.06 # Min/Max residuals: -0.21 0.08 # Exact a, adot, b, bdot, g, gdot: 1.372144E-05 2.006035E-02 3.587750E-06 5.094243E-03 2.331990E-02 2.407872E-03 # Covariance matrix: 7.2991E-13 7.6463E-13 -3.1978E-14 4.3741E-13 1.4742E-12 7.5348E-11 7.6463E-13 5.9462E-12 -1.4184E-13 2.0873E-12 5.5364E-12 3.5958E-10 -3.1978E-14 -1.4184E-13 4.1118E-13 -4.4859E-13 -1.5133E-13 -9.3810E-12 4.3741E-13 2.0873E-12 -4.4859E-13 1.3349E-12 2.0980E-12 1.3875E-10 1.4742E-12 5.5364E-12 -1.5133E-13 2.0980E-12 6.7845E-12 3.6141E-10 7.5348E-11 3.5958E-10 -9.3810E-12 1.3875E-10 3.6141E-10 2.3903E-08 # lat0 lon0 xBary yBary zBary JD0 -3.425525 16.428203 -0.056687 -0.059379 -0.994017 2456578.699428 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 128.20780 +/- 1.862 Argument of Peri: 205.64723 +/- 1.793 Long of Asc Node: 29.46486 +/- 0.002 Inclination: 14.61978 +/- 0.002 Eccentricity: 0.16043327 +/- 0.0042 Semi-Major Axis: 39.42220002 +/- 0.0473 Time of Perihelion: 2424373.0369 +/- 463.9 Perihelion: 33.09756761 +/- 0.1689 Aphelion: 45.74683242 +/- 0.1731 Period (y) 247.5252 +/- 0.45 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.99614430 +/- 0.0046 Ecliptic Y 12.44489035 +/- 0.0013 Ecliptic Z -2.56212207 +/- 0.0003 Ecliptic XDOT -0.00036730 +/- 0.0000 Ecliptic YDOT 0.00234748 +/- 0.0000 Ecliptic ZDOT 0.00058027 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.87614274 +/- 0.0044 Geocenter to KBO 42.88183952 +/- 0.0048 # Hcoef: 6.74
The following table shows the complete astrometric record for 13TF229. 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 (13TF229) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.19865 01 05 49.006 +03 17 41.66 22.8z 13TF229 W84 C~52Rg 2013 10 13.20587 01 05 48.975 +03 17 41.55 22.8i 13TF229 W84 C~52Rg 2013 11 22.15247 01 03 09.298 +03 04 41.10 23.3i 13TF229 W84 C~52Rg 2013 11 22.15385 01 03 09.302 +03 04 41.06 22.9z 13TF229 W84 C~52Rg 2014 10 02.26648 01 10 26.968 +04 04 39.44 23.2r 13TF229 W84 C~52Rg 2014 10 02.29273 01 10 26.854 +04 04 38.66 22.8i 13TF229 W84 C~52Rg 2014 10 29.22470 01 08 27.475 +03 54 00.75 23.6r 13TF229 W84 C~52Rg 2014 10 29.22605 01 08 27.469 +03 54 00.75 22.8i 13TF229 W84 C~52Rg 2014 11 14.07758 01 07 24.376 +03 48 55.74 23.2r 13TF229 W84 C~52Rg 2014 11 14.07893 01 07 24.379 +03 48 55.65 22.6i 13TF229 W84 C~52Rg 2014 11 15.07745 01 07 20.758 +03 48 39.34 23.3r 13TF229 W84 C~52Rg 2014 11 17.07820 01 07 13.686 +03 48 07.41 22.6z 13TF229 W84 C~52Rg 2014 11 18.12575 01 07 10.057 +03 47 51.71 22.8z 13TF229 W84 C~52Rg
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 -0.02 0.00 -0.03
2 0.0000 -0.47 0.03 0.08 0.02
3 0.1094 -2508.72 -0.06 193.64 0.04
4 0.1094 -2508.68 0.05 193.58 -0.03
5 0.9694 4922.14 -0.02 1017.05 0.05
6 0.9695 4920.27 -0.02 1016.98 -0.09
7 1.0432 3024.90 0.05 1108.20 0.04
8 1.0432 3024.82 0.05 1108.23 0.07
9 1.0866 2035.47 -0.02 1186.64 0.07
10 1.0866 2035.47 0.07 1186.54 -0.04
11 1.0893 1979.15 -0.05 1192.16 0.08
12 1.0948 1869.12 -0.04 1203.06 -0.21
13 1.0977 1812.92 -0.02 1209.28 0.04
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.
13TF229 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.618 39.770 39.491 ecceobj 0.158 0.170 0.148 incobj 14.583 14.585 14.582 qmin 31.934 31.659 32.427 qmax 47.304 47.792 47.019 amean 39.456 39.457 39.457 amin 39.145 39.024 39.026 amax 39.821 39.946 39.942 emean 0.162 0.174 0.157 emin 0.131 0.147 0.135 emax 0.189 0.198 0.179 imean 14.425 14.187 14.208 imin 13.536 13.514 13.550 imax 15.311 14.989 14.850 excite_mean 0.297 0.301 0.292 fracstop 1.000 1.000 1.000 cjmean 2.951 2.949 2.955 libcent 0 179.8 179.8 180.4 libamp 0 21.9 86.4 92.9 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 177.0 173.1 179.7 kozaiamp 179.9 180.0 179.9