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: 19ES9 # Created Sun Nov 24 02:10:56 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 27 observations of 27 # Arc: 10.98y # First observation: 2008/03/14 # Last observation: 2019/03/08 # Chi-squared of fit: 16.84 DOF: 48 RMS: 0.14 # Min/Max residuals: -0.40 0.27 # Exact a, adot, b, bdot, g, gdot: 1.551797E-05 2.603368E-02 6.108179E-06 8.539865E-03 2.585841E-02 1.485942E-03 # Covariance matrix: 2.9171E-13 -6.3369E-14 4.1959E-15 -1.2040E-14 -4.3773E-14 -1.2856E-13 -6.3369E-14 1.1796E-13 -1.3293E-14 3.8182E-14 2.0747E-13 4.0762E-13 4.1959E-15 -1.3293E-14 2.8067E-13 -3.1194E-14 -2.5063E-14 -4.7267E-14 -1.2040E-14 3.8182E-14 -3.1194E-14 1.5885E-14 7.2275E-14 1.3578E-13 -4.3773E-14 2.0747E-13 -2.5063E-14 7.2275E-14 9.1949E-13 7.7090E-13 -1.2856E-13 4.0762E-13 -4.7267E-14 1.3578E-13 7.7090E-13 1.4495E-12 # lat0 lon0 xBary yBary zBary JD0 -3.261316 160.369213 -0.228683 -0.055034 -0.966988 2454539.763034 # Heliocentric elements and errors Epoch: 2454540.5000 = 2008/03/15 Mean Anomaly: 20.86300 +/- 0.023 Argument of Peri: 322.18892 +/- 0.031 Long of Asc Node: 170.29603 +/- 0.000 Inclination: 18.45399 +/- 0.000 Eccentricity: 0.14087095 +/- 0.0001 Semi-Major Axis: 45.48376775 +/- 0.0071 Time of Perihelion: 2448047.3229 +/- 7.3 Perihelion: 39.07642637 +/- 0.0073 Aphelion: 51.89110912 +/- 0.0091 Period (y) 306.7558 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -37.35439346 +/- 0.0013 Ecliptic Y 13.07562893 +/- 0.0005 Ecliptic Z -2.19982530 +/- 0.0001 Ecliptic XDOT -0.00111595 +/- 0.0000 Ecliptic YDOT -0.00252605 +/- 0.0000 Ecliptic ZDOT 0.00089366 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.63784853 +/- 0.0013 Geocenter to KBO 38.67213593 +/- 0.0014 # Hcoef: 8.34
The following table shows the complete astrometric record for 19ES9. 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 (19ES9) followed by the observatory code and reference code for the source of the astrometry.
2008 03 14.262280 10 42 34.21 +04 39 32.2 19ES9 T14 C~8Mhh 2008 03 14.270789 10 42 34.17 +04 39 32.9 19ES9 T14 C~8Mhh 2008 03 14.279216 10 42 34.12 +04 39 33.0 19ES9 T14 C~8Mhh 2008 03 14.300866 10 42 34.04 +04 39 33.9 19ES9 T14 C~8Mhh 2008 03 14.309374 10 42 34.00 +04 39 33.9 19ES9 T14 C~8Mhh 2014 03 05.516731 11 20 32.26 +03 52 42.0 19ES9 T14 C~8Mhh 2017 03 23.207255 11 37 29.846 +03 39 55.73 24.2V 19ES9 W84 C~8Mhh 2017 03 24.208417 11 37 25.351 +03 40 29.60 24.3V 19ES9 W84 C~8Mhh 2018 03 18.463065 11 43 55.51 +03 29 09.7 19ES9 T09 C~8Mhh 2018 03 18.50571 11 43 55.30 +03 29 11.2 24.5i 19ES9 T09 C~8Mhh 2018 03 18.57604 11 43 54.95 +03 29 13.7 24.1i 19ES9 T09 C~8Mhh 2018 03 18.57871 11 43 54.95 +03 29 13.7 23.8i 19ES9 T09 C~8Mhh 2018 04 24.355370 11 41 23.94 +03 48 03.7 19ES9 T09 C~8Mhh 2018 04 24.445224 11 41 23.64 +03 48 05.8 19ES9 T09 C~8Mhh 2019 02 02.656217 11 52 52.38 +02 57 28.8 19ES9 T09 C~8Mhh 2019 02 04.63313 11 52 46.46 +02 58 21.9 25.3g 19ES9 T09 C~8Mhh 2019 02 04.66250 11 52 46.38 +02 58 22.7 24.7g 19ES9 T09 C~8Mhh 2019 02 05.473907 11 52 43.89 +02 58 44.8 19ES9 T09 C~8Mhh 2019 02 05.511564 11 52 43.76 +02 58 45.9 19ES9 T09 C~8Mhh 2019 03 02.43427 11 51 09.12 +03 11 48.3 24.4y 19ES9 T09 C~8Mhh 2019 03 02.53236 11 51 08.70 +03 11 51.6 23.7y 19ES9 T09 C~8Mhh 2019 03 02.53504 11 51 08.71 +03 11 51.5 24.3y 19ES9 T09 C~8Mhh 2019 03 02.61357 11 51 08.35 +03 11 54.1 24.2y 19ES9 T09 C~8Mhh 2019 03 08.35114 11 50 43.17 +03 15 11.3 24.2r 19ES9 T09 C~8Mhh 2019 03 08.36022 11 50 43.12 +03 15 11.7 24.2r 19ES9 T09 C~8Mhh 2019 03 08.37278 11 50 43.07 +03 15 12.2 24.2r 19ES9 T09 C~8Mhh 2019 03 08.40431 11 50 42.93 +03 15 13.4 24.2r 19ES9 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 0.01 0.00 -0.20 2 0.0000 0.00 -0.01 0.00 0.21 3 0.0000 0.00 -0.18 0.00 0.02 4 0.0001 0.00 0.11 0.00 0.19 5 0.0001 0.00 0.10 0.00 -0.10 6 5.9747 0.00 -0.08 0.00 -0.29 7 9.0238 0.00 -0.08 0.00 0.06 8 9.0265 0.00 0.03 0.00 0.03 9 10.0101 0.00 0.27 0.00 -0.03 10 10.0102 0.00 0.09 0.00 0.00 11 10.0104 0.00 -0.29 0.00 0.08 12 10.0104 0.00 -0.10 0.00 -0.01 13 10.1111 0.00 0.07 0.00 -0.04 14 10.1114 0.00 0.13 0.00 -0.16 15 10.8895 0.00 0.12 0.00 0.00 16 10.8949 0.00 0.00 0.00 0.04 17 10.8950 0.00 0.18 0.00 0.04 18 10.8972 0.00 0.20 0.00 -0.10 19 10.8973 0.00 0.05 0.00 -0.04 20 10.9656 0.00 -0.40 0.00 0.27 21 10.9658 0.00 -0.21 0.00 0.22 22 10.9658 0.00 0.11 0.00 0.03 23 10.9661 0.00 -0.11 0.00 -0.04 24 10.9818 0.00 0.02 0.00 -0.17 25 10.9818 0.00 -0.12 0.00 -0.08 26 10.9818 0.00 -0.01 0.00 -0.02 27 10.9819 0.00 0.03 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.