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: 16EZ370 # Created Wed Nov 27 02:10:35 2024 # Orbit generated from Bernstein formalism # Fitting 27 observations of 27 # Arc: 0.92y # First observation: 2016/03/04 # Last observation: 2017/02/02 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.031079 -0.000000 0.005512 0.027357 0.000000 # Chi-squared of fit: 25.48 DOF: 48 RMS: 0.17 # Min/Max residuals: -0.45 0.58 # Exact a, adot, b, bdot, g, gdot: 1.866363E-05 3.132264E-02 2.625271E-06 5.548195E-03 2.742300E-02 5.825402E-03 # Covariance matrix: 2.5934E-13 2.3179E-11 -6.2865E-14 3.3237E-12 6.2753E-12 6.3211E-10 2.3179E-11 3.0330E-08 -6.9146E-11 4.1120E-09 5.3269E-09 7.8088E-07 -6.2865E-14 -6.9146E-11 2.2133E-13 -9.4606E-12 -1.2265E-11 -1.7821E-09 3.3237E-12 4.1120E-09 -9.4606E-12 5.5834E-10 7.2431E-10 1.0590E-07 6.2753E-12 5.3269E-09 -1.2265E-11 7.2431E-10 9.6251E-10 1.3756E-07 6.3211E-10 7.8088E-07 -1.7821E-09 1.0590E-07 1.3756E-07 2.0112E-05 # lat0 lon0 xBary yBary zBary JD0 -9.740088 152.124554 -0.201661 -0.163584 -0.953947 2457451.934399 # Heliocentric elements and errors Epoch: 2457450.5000 = 2016/03/03 Mean Anomaly: 18.44116 +/- 7.738 Argument of Peri: 275.28412 +/- 20.600 Long of Asc Node: 195.41947 +/- 0.115 Inclination: 13.77600 +/- 0.029 Eccentricity: 0.36717332 +/- 0.1238 Semi-Major Axis: 55.25778653 +/- 6.0783 Time of Perihelion: 2449764.9594 +/- 2965.3 Perihelion: 34.96860183 +/- 7.8503 Aphelion: 75.54697122 +/- 10.7652 Period (y) 410.7697 +/- 67.78 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -32.72378226 +/- 0.0359 Ecliptic Y 17.07566030 +/- 0.0190 Ecliptic Z -6.16914269 +/- 0.0070 Ecliptic XDOT -0.00205182 +/- 0.0004 Ecliptic YDOT -0.00245948 +/- 0.0002 Ecliptic ZDOT 0.00044755 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 37.42301994 +/- 0.0326 Geocenter to KBO 36.46573944 +/- 0.0413 # Hcoef: 9.16
The following table shows the complete astrometric record for 16EZ370. 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 (16EZ370) followed by the observatory code and reference code for the source of the astrometry.
2016 03 04.43361 10 02 33.92 +01 36 33.0 25.5i 16EZ370 T09 C~8Djp 2016 03 04.44826 10 02 33.86 +01 36 33.5 24.7i 16EZ370 T09 C~8Djp 2016 03 04.46258 10 02 33.80 +01 36 33.5 25.2i 16EZ370 T09 C~8Djp 2016 03 04.46608 10 02 33.78 +01 36 33.9 24.4i 16EZ370 T09 C~8Djp 2016 03 07.28619 10 02 20.49 +01 38 09.1 25.6g 16EZ370 T09 C~8Djp 2016 03 07.31730 10 02 20.33 +01 38 10.3 25.9g 16EZ370 T09 C~8Djp 2016 03 07.32114 10 02 20.33 +01 38 10.1 25.1g 16EZ370 T09 C~8Djp 2016 03 07.32499 10 02 20.31 +01 38 10.3 25.2g 16EZ370 T09 C~8Djp 2016 03 09.29704 10 02 11.17 +01 39 17.5 24.7r 16EZ370 T09 C~8Djp 2016 03 09.31742 10 02 11.08 +01 39 17.9 24.2r 16EZ370 T09 C~8Djp 2016 03 09.32069 10 02 11.05 +01 39 18.4 24.8r 16EZ370 T09 C~8Djp 2016 03 09.32455 10 02 11.06 +01 39 18.2 24.6r 16EZ370 T09 C~8Djp 2016 03 09.32844 10 02 11.04 +01 39 18.5 24.6r 16EZ370 T09 C~8Djp 2016 03 09.33236 10 02 10.99 +01 39 18.9 25.2r 16EZ370 T09 C~8Djp 2016 03 09.34016 10 02 10.97 +01 39 18.9 24.9r 16EZ370 T09 C~8Djp 2016 03 12.40209 10 01 57.10 +01 41 03.4 24.9z 16EZ370 T09 C~8Djp 2016 03 12.41665 10 01 57.02 +01 41 04.1 24.0z 16EZ370 T09 C~8Djp 2016 03 12.43157 10 01 56.98 +01 41 04.6 23.8z 16EZ370 T09 C~8Djp 2016 03 12.43918 10 01 56.97 +01 41 04.4 24.1z 16EZ370 T09 C~8Djp 2016 03 12.45077 10 01 56.89 +01 41 05.1 24.3z 16EZ370 T09 C~8Djp 2016 03 12.45847 10 01 56.85 +01 41 05.1 24.3z 16EZ370 T09 C~8Djp 2016 03 12.46234 10 01 56.85 +01 41 05.6 24.7z 16EZ370 T09 C~8Djp 2016 03 12.46618 10 01 56.81 +01 41 05.6 24.2z 16EZ370 T09 C~8Djp 2016 03 12.47004 10 01 56.79 +01 41 05.7 24.9z 16EZ370 T09 C~8Djp 2017 02 02.50918 10 12 08.92 +01 01 36.4 25.6r 16EZ370 T09 C~8Djp 2017 02 02.51810 10 12 08.88 +01 01 36.6 24.9r 16EZ370 T09 C~8Djp 2017 02 02.52702 10 12 08.82 +01 01 36.9 25.4r 16EZ370 T09 C~8Djp
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 -0.12 0.00 0.12 2 0.0000 -1.02 0.03 0.15 0.18 3 0.0001 -1.86 0.33 -0.16 -0.22 4 0.0001 -2.28 0.19 0.10 0.03 5 0.0078 -222.30 -0.04 19.13 0.03 6 0.0079 -224.97 -0.26 19.41 0.10 7 0.0079 -224.90 0.11 19.22 -0.12 8 0.0079 -225.25 0.06 19.30 -0.06 9 0.0133 -377.18 -0.18 34.01 0.05 10 0.0134 -378.58 0.00 33.91 -0.20 11 0.0134 -379.18 -0.34 34.22 0.09 12 0.0134 -378.97 0.17 34.08 -0.07 13 0.0134 -379.35 0.09 34.26 0.07 14 0.0134 -380.19 -0.45 34.37 0.16 15 0.0134 -380.47 -0.13 34.26 -0.01 16 0.0218 -611.90 -0.06 58.95 -0.07 17 0.0219 -613.27 -0.33 59.18 0.05 18 0.0219 -614.01 0.07 59.44 0.18 19 0.0219 -614.08 0.58 59.20 -0.12 20 0.0219 -615.45 0.09 59.43 0.02 21 0.0220 -616.01 0.11 59.22 -0.25 22 0.0220 -616.19 0.23 59.69 0.19 23 0.0220 -616.75 -0.04 59.48 -0.06 24 0.0220 -617.06 -0.07 59.46 -0.10 25 0.9174 8813.99 0.07 1075.72 0.01 26 0.9174 8813.36 0.11 1075.70 0.01 27 0.9174 8812.41 -0.17 1075.66 -0.01
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.