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: 13TV228 # Created Wed May 8 01:15:27 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 9 observations of 9 # Arc: 5.12y # First observation: 2013/10/13 # Last observation: 2018/11/26 # Chi-squared of fit: 1.38 DOF: 12 RMS: 0.07 # Min/Max residuals: -0.12 0.16 # Exact a, adot, b, bdot, g, gdot: 1.532272E-05 2.346777E-02 -1.390760E-07 5.357182E-05 2.420556E-02 6.687240E-04 # Covariance matrix: 1.4717E-12 4.1483E-12 -4.7480E-14 1.9909E-14 3.7518E-12 3.7843E-11 4.1483E-12 2.2065E-11 -2.1874E-13 9.8272E-14 1.7255E-11 1.9420E-10 -4.7480E-14 -2.1874E-13 5.1358E-13 -1.0459E-13 -1.8718E-13 -1.9418E-12 1.9909E-14 9.8272E-14 -1.0459E-13 3.1306E-14 7.9807E-14 8.6864E-13 3.7518E-12 1.7255E-11 -1.8718E-13 7.9807E-14 1.4785E-11 1.5319E-10 3.7843E-11 1.9420E-10 -1.9418E-12 8.6864E-13 1.5319E-10 1.7127E-09 # lat0 lon0 xBary yBary zBary JD0 -2.527412 1.228429 -0.314658 -0.041623 -0.945572 2456578.630948 # Heliocentric elements and errors Epoch: 2456578.5000 = 2013/10/13 Mean Anomaly: 78.11204 +/- 0.395 Argument of Peri: 191.38092 +/- 0.597 Long of Asc Node: 88.29735 +/- 0.010 Inclination: 2.47509 +/- 0.000 Eccentricity: 0.03419652 +/- 0.0017 Semi-Major Axis: 42.51053811 +/- 0.0091 Time of Perihelion: 2434612.1041 +/- 111.4 Perihelion: 41.05682549 +/- 0.0744 Aphelion: 43.96425073 +/- 0.0745 Period (y) 277.1744 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.20216198 +/- 0.0066 Ecliptic Y 1.22276020 +/- 0.0001 Ecliptic Z -1.82182486 +/- 0.0003 Ecliptic XDOT 0.00001274 +/- 0.0000 Ecliptic YDOT 0.00265397 +/- 0.0000 Ecliptic ZDOT 0.00000286 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.25913945 +/- 0.0065 Geocenter to KBO 41.31284578 +/- 0.0066 # Hcoef: 7.21
The following table shows the complete astrometric record for 13TV228. 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 (13TV228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.13017 00 08 31.795 -01 49 49.03 23.4i 13TV228 W84 C~52Rg 2013 11 22.11335 00 06 22.484 -02 02 05.87 23.4i 13TV228 W84 C~52Rg 2013 11 23.09986 00 06 20.611 -02 02 14.56 22.8i 13TV228 W84 C~52Rg 2018 09 09.22996 00 35 29.775 +01 06 51.49 23.1z 13TV228 W84 C~52Rg 2018 09 09.33142 00 35 29.352 +01 06 48.66 23.6r 13TV228 W84 C~52Rg 2018 09 09.33280 00 35 29.344 +01 06 48.43 23.0i 13TV228 W84 C~52Rg 2018 10 10.25683 00 33 15.499 +00 52 19.63 23.5r 13TV228 W84 C~52Rg 2018 10 10.25820 00 33 15.492 +00 52 19.61 23.1i 13TV228 W84 C~52Rg 2018 11 26.07111 00 30 30.151 +00 36 21.22 24.3g 13TV228 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 -0.01 0.00 0.03
2 0.1095 0.00 0.02 0.00 0.00
3 0.1122 0.00 0.00 0.00 -0.04
4 4.9065 0.00 0.07 0.00 0.16
5 4.9068 0.00 -0.06 0.00 0.08
6 4.9068 0.00 -0.09 0.00 -0.12
7 4.9914 0.00 0.06 0.00 -0.01
8 4.9915 0.00 0.04 0.00 0.01
9 5.1196 0.00 0.01 0.00 -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.
13TV228 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.752 42.752 42.752 ecceobj 0.037 0.037 0.037 incobj 2.476 2.476 2.476 qmin 40.403 40.418 40.394 qmax 44.899 44.897 44.911 amean 42.556 42.556 42.556 amin 42.230 42.229 42.227 amax 42.886 42.889 42.882 emean 0.030 0.030 0.030 emin 0.004 0.004 0.004 emax 0.047 0.047 0.047 imean 1.137 1.137 1.137 imin 0.402 0.402 0.402 imax 1.819 1.818 1.819 excite_mean 0.038 0.038 0.038 fracstop 1.000 1.000 1.000 cjmean 3.083 3.083 3.083 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 185.7 185.7 185.8 kozaiamp 180.0 179.9 180.0