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: 19EO9 # Created Sun Nov 24 02:10:56 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 27 observations of 27 # Arc: 12.29y # First observation: 2006/12/21 # Last observation: 2019/04/05 # Chi-squared of fit: 146.48 DOF: 48 RMS: 0.41 # Min/Max residuals: -0.65 1.95 # Exact a, adot, b, bdot, g, gdot: 1.609826E-05 2.288868E-02 5.899037E-07 7.034189E-04 2.355148E-02 -1.404916E-03 # Covariance matrix: 4.8955E-13 -8.4275E-14 2.2208E-16 -1.3308E-15 -4.3804E-14 -1.5125E-13 -8.4275E-14 5.3717E-13 -2.3007E-15 1.4916E-14 7.7984E-13 1.7952E-12 2.2208E-16 -2.3007E-15 4.8368E-13 -4.1157E-14 -3.0741E-15 -7.8335E-15 -1.3308E-15 1.4916E-14 -4.1157E-14 4.3358E-15 2.0814E-14 5.0517E-14 -4.3804E-14 7.7984E-13 -3.0741E-15 2.0814E-14 1.2976E-12 2.5776E-12 -1.5125E-13 1.7952E-12 -7.8335E-15 5.0517E-14 2.5776E-12 6.0581E-12 # lat0 lon0 xBary yBary zBary JD0 3.270020 164.584903 0.955334 0.014460 -0.251095 2454091.086754 # Heliocentric elements and errors Epoch: 2454090.5000 = 2006/12/21 Mean Anomaly: 293.71691 +/- 0.038 Argument of Peri: 136.70119 +/- 0.041 Long of Asc Node: 102.83140 +/- 0.002 Inclination: 3.73355 +/- 0.000 Eccentricity: 0.09044856 +/- 0.0001 Semi-Major Axis: 44.00669013 +/- 0.0067 Time of Perihelion: 2473723.0506 +/- 22.8 Perihelion: 40.02634845 +/- 0.0084 Aphelion: 47.98703181 +/- 0.0093 Period (y) 291.9351 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -40.85715149 +/- 0.0020 Ecliptic Y 12.25105941 +/- 0.0005 Ecliptic Z 2.42201385 +/- 0.0001 Ecliptic XDOT -0.00054030 +/- 0.0000 Ecliptic YDOT -0.00261365 +/- 0.0000 Ecliptic ZDOT 0.00007225 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.72313439 +/- 0.0019 Geocenter to KBO 42.46023675 +/- 0.0021 # Hcoef: 7.85
The following table shows the complete astrometric record for 19EO9. 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 (19EO9) followed by the observatory code and reference code for the source of the astrometry.
2006 12 21.586000 11 08 19.15 +09 05 05.2 19EO9 T09 C~8Mhh 2006 12 21.589500 11 08 19.15 +09 05 05.3 19EO9 T09 C~8Mhh 2006 12 21.619572 11 08 19.16 +09 05 05.3 19EO9 T09 C~8Mhh 2018 02 11.654405 12 02 00.50 +03 47 41.5 19EO9 T09 C~8Mhh 2018 03 18.584037 11 59 37.68 +04 04 28.3 19EO9 T09 C~8Mhh 2018 03 18.600070 11 59 37.61 +04 04 28.9 19EO9 T09 C~8Mhh 2018 04 24.379218 11 57 03.35 +04 20 16.8 19EO9 T09 C~8Mhh 2018 04 24.37966 11 57 03.37 +04 20 16.8 23.4z 19EO9 T09 C~8Mhh 2018 04 24.38261 11 57 03.33 +04 20 16.8 23.6z 19EO9 T09 C~8Mhh 2018 04 24.38303 11 57 03.35 +04 20 16.8 23.6z 19EO9 T09 C~8Mhh 2018 04 24.42024 11 57 03.19 +04 20 17.7 24.0z 19EO9 T09 C~8Mhh 2018 04 24.42066 11 57 03.21 +04 20 17.7 24.0z 19EO9 T09 C~8Mhh 2018 04 24.453254 11 57 03.09 +04 20 18.3 19EO9 T09 C~8Mhh 2018 04 24.45369 11 57 03.10 +04 20 18.2 23.8z 19EO9 T09 C~8Mhh 2018 04 24.50409 11 57 03.04 +04 20 18.8 23.3z 19EO9 T09 C~8Mhh 2018 04 24.50452 11 57 03.06 +04 20 18.8 23.3z 19EO9 T09 C~8Mhh 2019 02 05.55162 12 07 28.15 +03 13 04.4 24.0i 19EO9 T09 C~8Mhh 2019 02 05.59805 12 07 28.02 +03 13 05.4 24.3i 19EO9 T09 C~8Mhh 2019 02 05.62497 12 07 27.96 +03 13 06.0 24.3i 19EO9 T09 C~8Mhh 2019 02 05.63843 12 07 27.90 +03 13 06.2 24.3i 19EO9 T09 C~8Mhh 2019 02 28.574368 12 06 06.61 +03 23 17.0 19EO9 T09 C~8Mhh 2019 03 03.51493 12 05 54.39 +03 24 43.0 24.3z 19EO9 T09 C~8Mhh 2019 03 03.53922 12 05 54.32 +03 24 43.8 24.1z 19EO9 T09 C~8Mhh 2019 03 03.63045 12 05 53.90 +03 24 46.8 23.8z 19EO9 T09 C~8Mhh 2019 04 04.467836 12 03 33.01 +03 40 17.6 19EO9 T09 C~8Mhh 2019 04 04.490926 12 03 32.91 +03 40 18.3 19EO9 T09 C~8Mhh 2019 04 05.530772 12 03 28.38 +03 40 46.5 19EO9 T09 C~8Mhh
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 -0.15 0.00 0.04 2 0.0000 0.00 -0.12 0.00 0.11 3 0.0001 0.00 0.26 0.00 -0.14 4 11.1432 0.00 -0.21 0.00 -0.21 5 11.2389 0.00 -0.20 0.00 -0.06 6 11.2389 0.00 -0.16 0.00 0.06 7 11.3396 0.00 -0.47 0.00 0.13 8 11.3396 0.00 -0.15 0.00 0.12 9 11.3396 0.00 -0.59 0.00 0.06 10 11.3396 0.00 -0.27 0.00 0.05 11 11.3397 0.00 -0.65 0.00 0.22 12 11.3397 0.00 -0.33 0.00 0.21 13 11.3398 0.00 -0.36 0.00 0.17 14 11.3398 0.00 -0.19 0.00 0.06 15 11.3400 0.00 1.62 0.00 -0.33 16 11.3400 0.00 1.95 0.00 -0.34 17 12.1258 0.00 -0.09 0.00 -0.01 18 12.1260 0.00 0.01 0.00 -0.08 19 12.1260 0.00 0.30 0.00 -0.11 20 12.1261 0.00 -0.00 0.00 -0.22 21 12.1889 0.00 0.09 0.00 0.14 22 12.1969 0.00 -0.20 0.00 -0.09 23 12.1970 0.00 0.32 0.00 -0.01 24 12.1972 0.00 -0.14 0.00 0.30 25 12.2844 0.00 -0.14 0.00 -0.10 26 12.2845 0.00 -0.10 0.00 -0.03 27 12.2873 0.00 -0.13 0.00 0.09
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.