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: 10TT191 # Created Fri Nov 22 02:09:09 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 21 observations of 21 # Arc: 16.10y # First observation: 1999/10/14 # Last observation: 2015/11/19 # Chi-squared of fit: 33.13 DOF: 36 RMS: 0.22 # Min/Max residuals: -0.62 0.53 # Exact a, adot, b, bdot, g, gdot: 1.801208E-05 3.566765E-02 -6.239889E-07 -2.140114E-03 3.273970E-02 2.090022E-03 # Covariance matrix: 4.8491E-13 -7.3659E-14 -5.8814E-15 2.7077E-15 5.8947E-14 -7.6083E-14 -7.3659E-14 2.4433E-14 2.7468E-15 -1.2607E-15 3.8576E-14 3.5370E-14 -5.8814E-15 2.7468E-15 3.8516E-13 -3.0765E-14 1.1862E-15 4.6620E-15 2.7077E-15 -1.2607E-15 -3.0765E-14 3.0029E-15 -4.6255E-16 -2.1429E-15 5.8947E-14 3.8576E-14 1.1862E-15 -4.6255E-16 1.4032E-12 1.1854E-14 -7.6083E-14 3.5370E-14 4.6620E-15 -2.1429E-15 1.1854E-14 6.0165E-14 # lat0 lon0 xBary yBary zBary JD0 2.661368 32.608291 0.205687 0.044735 -0.967102 2451465.868315 # Heliocentric elements and errors Epoch: 2451466.5000 = 1999/10/15 Mean Anomaly: 124.53110 +/- 0.084 Argument of Peri: 12.36118 +/- 0.071 Long of Asc Node: 249.37735 +/- 0.000 Inclination: 4.26578 +/- 0.000 Eccentricity: 0.06538277 +/- 0.0001 Semi-Major Axis: 30.31276735 +/- 0.0040 Time of Perihelion: 2430379.6287 +/- 14.9 Perihelion: 28.33083454 +/- 0.0042 Aphelion: 32.29470016 +/- 0.0047 Period (y) 166.8963 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 26.63530883 +/- 0.0009 Ecliptic Y 16.79326313 +/- 0.0006 Ecliptic Z 1.41823229 +/- 0.0001 Ecliptic XDOT -0.00145785 +/- 0.0000 Ecliptic YDOT 0.00261920 +/- 0.0000 Ecliptic ZDOT -0.00017058 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.51924840 +/- 0.0008 Geocenter to KBO 30.54396031 +/- 0.0011 # Hcoef: 7.72
The following table shows the complete astrometric record for 10TT191. 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 (10TT191) followed by the observatory code and reference code for the source of the astrometry.
1999 10 14.367572 01 57 51.86 +14 52 33.9 22.5V 10TT191 645 C~2POO 1999 10 14.368401 01 57 51.86 +14 52 33.9 22.2V 10TT191 645 C~2POO 1999 10 14.370889 01 57 51.87 +14 52 33.8 22.5V 10TT191 645 C~2POO 2007 11 14.467276 03 00 00.13 +18 42 47.4 10TT191 568 C~1tfI 2007 11 15.413367 02 59 54.05 +18 42 20.1 10TT191 568 C~1tfI 2007 11 15.415838 02 59 54.03 +18 42 20.3 10TT191 568 C~1tfI 2010 10 09.46094 03 28 22.78 +20 06 24.3 23.4w 10TT191 F51 C~1tfI 2010 10 09.47656 03 28 22.70 +20 06 24.0 23.4w 10TT191 F51 C~1tfI 2010 11 07.48047 03 25 33.87 +19 56 04.9 23.2w 10TT191 F51 C~1tfI 2010 11 07.49219 03 25 33.78 +19 56 04.3 22.9w 10TT191 F51 C~1tfI 2010 11 07.50781 03 25 33.70 +19 56 04.1 23.3w 10TT191 F51 C~1tfI 2010 11 07.52344 03 25 33.60 +19 56 03.7 23.2w 10TT191 F51 C~1tfI 2011 10 24.54297 03 35 21.60 +20 21 44.6 23.3w 10TT191 F51 C~1tfI 2011 10 24.55859 03 35 21.52 +20 21 44.2 23.5w 10TT191 F51 C~1tfI 2012 10 22.54688 03 43 48.96 +20 40 48.1 22.9w 10TT191 F51 C~1tfI 2012 10 22.55859 03 43 48.89 +20 40 47.7 22.9w 10TT191 F51 C~1tfI 2012 10 22.58984 03 43 48.72 +20 40 47.0 22.6w 10TT191 F51 C~1tfI 2015 11 07.169201 04 07 26.39 +21 23 16.7 10TT191 696 C~1tfI 2015 11 07.287234 04 07 25.57 +21 23 14.0 10TT191 696 C~1tfI 2015 11 19.621967 04 06 05.39 +21 19 23.4 22.0R 10TT191 O44 C~1tfI 2015 11 19.655700 04 06 05.14 +21 19 23.4 21.8R 10TT191 O44 C~1tfI
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 -0.13 0.00 -0.14 2 0.0000 0.00 -0.05 0.00 -0.11 3 0.0000 0.00 0.33 0.00 -0.13 4 8.0851 0.00 -0.32 0.00 0.21 5 8.0877 0.00 -0.05 0.00 -0.04 6 8.0877 0.00 -0.11 0.00 0.23 7 10.9873 0.00 -0.10 0.00 0.06 8 10.9873 0.00 -0.14 0.00 0.02 9 11.0667 0.00 0.01 0.00 0.19 10 11.0667 0.00 -0.18 0.00 -0.12 11 11.0668 0.00 0.17 0.00 0.07 12 11.0668 0.00 0.21 0.00 0.05 13 12.0279 0.00 -0.08 0.00 0.05 14 12.0279 0.00 0.11 0.00 -0.03 15 13.0244 0.00 0.12 0.00 0.28 16 13.0245 0.00 0.09 0.00 0.10 17 13.0246 0.00 0.23 0.00 -0.01 18 16.0652 0.00 0.53 0.00 0.01 19 16.0655 0.00 -0.54 0.00 -0.62 20 16.0993 0.00 0.06 0.00 -0.38 21 16.0994 0.00 -0.26 0.00 0.26
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.
10TT191 quality flag:3 Type: 1:1 1:1 1:1 axisobj 30.309 30.309 30.309 ecceobj 0.065 0.065 0.065 incobj 4.265 4.265 4.265 qmin 27.066 27.066 27.067 qmax 33.269 33.271 33.266 amean 30.110 30.110 30.110 amin 29.750 29.751 29.750 amax 30.521 30.520 30.522 emean 0.069 0.069 0.069 emin 0.043 0.043 0.043 emax 0.092 0.092 0.092 imean 5.887 5.887 5.887 imin 5.527 5.527 5.527 imax 6.195 6.195 6.195 excite_mean 0.124 0.124 0.124 fracstop 1.000 1.000 1.000 cjmean 2.987 2.987 2.987 libcent 0 66.9 66.8 66.9 libamp 0 28.8 28.8 28.8 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 180.9 180.8 180.9 kozaiamp 180.0 180.0 180.0