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: 19EW8 # Created Sun Nov 24 02:10:56 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 15 observations of 15 # Arc: 8.90y # First observation: 2012/02/16 # Last observation: 2021/01/11 # Chi-squared of fit: 7.21 DOF: 24 RMS: 0.12 # Min/Max residuals: -0.17 0.44 # Exact a, adot, b, bdot, g, gdot: 1.867598E-05 3.532142E-02 -4.283012E-06 -7.296882E-03 3.042027E-02 1.087301E-04 # Covariance matrix: 7.2486E-13 -1.9067E-13 -1.8769E-14 2.1430E-14 -7.2026E-14 -3.3747E-13 -1.9067E-13 2.1707E-13 3.5311E-14 -4.2782E-14 5.0910E-13 6.8466E-13 -1.8769E-14 3.5311E-14 6.3901E-13 -9.3626E-14 8.5352E-14 1.1870E-13 2.1430E-14 -4.2782E-14 -9.3626E-14 2.2798E-14 -1.0989E-13 -1.4430E-13 -7.2026E-14 5.0910E-13 8.5352E-14 -1.0989E-13 2.2134E-12 1.7858E-12 -3.3747E-13 6.8466E-13 1.1870E-13 -1.4430E-13 1.7858E-12 2.3113E-12 # lat0 lon0 xBary yBary zBary JD0 7.396963 166.469203 0.326988 0.120264 -0.926270 2455973.962934 # Heliocentric elements and errors Epoch: 2455974.5000 = 2012/02/17 Mean Anomaly: 359.09096 +/- 0.009 Argument of Peri: 149.33379 +/- 0.014 Long of Asc Node: 17.24025 +/- 0.000 Inclination: 13.64209 +/- 0.000 Eccentricity: 0.20147279 +/- 0.0002 Semi-Major Axis: 42.32371372 +/- 0.0101 Time of Perihelion: 2456228.4541 +/- 35.9 Perihelion: 33.79663714 +/- 0.0103 Aphelion: 50.85079030 +/- 0.0137 Period (y) 275.3492 +/- 0.10 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -32.52317377 +/- 0.0016 Ecliptic Y 8.16457457 +/- 0.0004 Ecliptic Z 4.23199909 +/- 0.0002 Ecliptic XDOT -0.00084006 +/- 0.0000 Ecliptic YDOT -0.00306443 +/- 0.0000 Ecliptic ZDOT -0.00064990 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.79832978 +/- 0.0015 Geocenter to KBO 32.87284956 +/- 0.0016 # Hcoef: 8.37
The following table shows the complete astrometric record for 19EW8. 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 (19EW8) followed by the observatory code and reference code for the source of the astrometry.
2012 02 16.462168 11 21 55.56 +12 08 47.4 19EW8 T14 C~8Aix 2012 02 16.491318 11 21 55.41 +12 08 48.2 19EW8 T14 C~8Aix 2017 03 01.254145 11 54 48.211 +06 14 25.04 22.8r 19EW8 W84 C~8HR7 2018 03 18.557320 11 59 56.82 +05 10 13.6 19EW8 T09 C~8Aix 2018 03 18.597393 11 59 56.59 +05 10 14.9 19EW8 T09 C~8Aix 2019 02 05.59805 12 09 51.86 +03 36 36.1 23.5i 19EW8 T09 C~8Aix 2019 02 05.63843 12 09 51.71 +03 36 37.1 23.6i 19EW8 T09 C~8Aix 2019 02 05.64110 12 09 51.69 +03 36 37.1 23.5i 19EW8 T09 C~8Aix 2019 03 03.53922 12 07 57.78 +03 48 49.9 23.3z 19EW8 T09 C~8Aix 2019 03 03.59287 12 07 57.50 +03 48 51.9 23.9z 19EW8 T09 C~8Aix 2019 03 03.63313 12 07 57.29 +03 48 52.8 23.8z 19EW8 T09 C~8Aix 2019 04 04.467836 12 05 04.17 +04 05 13.1 19EW8 T09 C~8Aix 2021 01 11.621188 12 23 40.64 +01 05 55.7 19EW8 T14 C~8Aix 2021 01 11.629135 12 23 40.63 +01 05 55.8 19EW8 T14 C~8Aix 2021 01 11.639535 12 23 40.62 +01 05 55.8 19EW8 T14 C~8Aix
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 0.12 2 0.0001 0.00 0.03 0.00 -0.06 3 5.0371 0.00 0.10 0.00 -0.14 4 6.0838 0.00 0.06 0.00 -0.17 5 6.0839 0.00 -0.01 0.00 -0.12 6 6.9709 0.00 0.10 0.00 -0.04 7 6.9711 0.00 0.01 0.00 -0.00 8 6.9711 0.00 -0.15 0.00 -0.06 9 7.0420 0.00 -0.15 0.00 0.11 10 7.0421 0.00 -0.13 0.00 0.44 11 7.0422 0.00 -0.13 0.00 0.08 12 7.1294 0.00 0.10 0.00 -0.09 13 8.9039 0.00 0.12 0.00 -0.04 14 8.9039 0.00 0.05 0.00 0.01 15 8.9040 0.00 0.01 0.00 -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.