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: 16EM398 # Created Sat Feb 22 02:10:46 2025 # Orbit generated from Bernstein formalism # Fitting 21 observations of 21 # Arc: 32.90d # First observation: 2016/02/08 # Last observation: 2016/03/12 Preliminary a, adot, b, bdot, g, gdot: -0.000013 0.361454 0.000031 -0.195291 0.147585 0.000000 # Chi-squared of fit: 12.06 DOF: 36 RMS: 0.13 # Min/Max residuals: -0.35 0.38 # Exact a, adot, b, bdot, g, gdot: 2.714757E-05 2.048535E-01 -2.437938E-05 -1.912613E-01 1.232409E-01 1.112448E-03 # Covariance matrix: 2.6792E-13 -1.5428E-10 -8.4696E-16 -2.0063E-12 -2.0747E-11 5.4202E-10 -1.5428E-10 1.2403E-06 1.7025E-10 -1.2166E-08 1.8334E-07 -2.6656E-06 -8.4696E-16 1.7025E-10 2.1485E-13 -5.1611E-12 2.5699E-11 -2.9862E-10 -2.0063E-12 -1.2166E-08 -5.1611E-12 3.6045E-10 -1.8915E-09 1.4386E-08 -2.0747E-11 1.8334E-07 2.5699E-11 -1.8915E-09 2.7147E-08 -3.8831E-07 5.4202E-10 -2.6656E-06 -2.9862E-10 1.4386E-08 -3.8831E-07 6.4545E-06 # lat0 lon0 xBary yBary zBary JD0 -10.759176 141.913594 0.055393 -0.183364 -0.965911 2457426.975609 # Heliocentric elements and errors Epoch: 2457420.5000 = 2016/02/02 Mean Anomaly: 356.37924 +/- 2.090 Argument of Peri: 199.10435 +/- 3.196 Long of Asc Node: 311.46431 +/- 0.054 Inclination: 43.91024 +/- 0.155 Eccentricity: 0.19234202 +/- 0.0029 Semi-Major Axis: 11.23986045 +/- 0.0189 Time of Perihelion: 2457558.9324 +/- 79.9 Perihelion: 9.07796299 +/- 0.0365 Aphelion: 13.40175792 +/- 0.0400 Period (y) 37.6834 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -7.01778302 +/- 0.0084 Ecliptic Y 5.56543668 +/- 0.0066 Ecliptic Z -1.51497775 +/- 0.0020 Ecliptic XDOT -0.00220245 +/- 0.0000 Ecliptic YDOT -0.00406322 +/- 0.0000 Ecliptic ZDOT -0.00417886 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 9.08397058 +/- 0.0076 Geocenter to KBO 8.11418896 +/- 0.0108 # Hcoef: 13.77
The following table shows the complete astrometric record for 16EM398. 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 (16EM398) followed by the observatory code and reference code for the source of the astrometry.
2016 02 08.47482 09 23 16.13 +04 00 04.5 23.3r 16EM398 T09 C~8eUq 2016 02 08.50614 09 23 15.40 +04 00 04.2 23.2r 16EM398 T09 C~8eUq 2016 02 08.51715 09 23 15.15 +04 00 04.2 23.5r 16EM398 T09 C~8eUq 2016 02 08.52379 09 23 15.00 +04 00 04.2 23.4r 16EM398 T09 C~8eUq 2016 02 12.28283 09 21 48.31 +03 59 55.9 22.9y 16EM398 T09 C~8eUq 2016 02 12.28555 09 21 48.25 +03 59 55.9 23.0y 16EM398 T09 C~8eUq 2016 02 12.29096 09 21 48.11 +03 59 56.0 22.7y 16EM398 T09 C~8eUq 2016 02 12.29906 09 21 47.95 +03 59 56.0 22.5y 16EM398 T09 C~8eUq 2016 02 12.30448 09 21 47.80 +03 59 55.9 22.3y 16EM398 T09 C~8eUq 2016 03 04.38892 09 14 08.70 +04 03 36.9 23.1i 16EM398 T09 C~8eUq 2016 03 04.39973 09 14 08.48 +04 03 37.0 23.1i 16EM398 T09 C~8eUq 2016 03 04.41331 09 14 08.21 +04 03 37.4 23.0i 16EM398 T09 C~8eUq 2016 03 07.36412 09 13 11.06 +04 04 29.4 24.4g 16EM398 T09 C~8eUq 2016 03 07.40429 09 13 10.26 +04 04 30.0 23.7g 16EM398 T09 C~8eUq 2016 03 07.40643 09 13 10.23 +04 04 30.0 23.8g 16EM398 T09 C~8eUq 2016 03 07.42361 09 13 09.89 +04 04 30.2 23.7g 16EM398 T09 C~8eUq 2016 03 12.30861 09 11 40.91 +04 05 58.5 23.3z 16EM398 T09 C~8eUq 2016 03 12.32109 09 11 40.65 +04 05 58.8 22.8z 16EM398 T09 C~8eUq 2016 03 12.35149 09 11 40.09 +04 05 59.2 23.9z 16EM398 T09 C~8eUq 2016 03 12.36538 09 11 39.87 +04 05 59.7 23.0z 16EM398 T09 C~8eUq 2016 03 12.37656 09 11 39.68 +04 05 59.8 23.4z 16EM398 T09 C~8eUq
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 -0.18 0.00 -0.03 2 0.0001 -10.28 -0.04 -3.71 -0.14 3 0.0001 -13.83 0.07 -4.89 -0.04 4 0.0001 -15.96 0.14 -5.59 0.02 5 0.0104 -1245.11 -0.00 -420.32 0.01 6 0.0104 -1245.96 0.05 -420.60 0.03 7 0.0104 -1247.98 -0.18 -421.16 0.05 8 0.0105 -1250.25 0.23 -421.91 0.18 9 0.0105 -1252.35 -0.07 -422.71 -0.02 10 0.0682 -7851.36 -0.05 -2359.39 -0.06 11 0.0682 -7854.52 -0.05 -2360.32 -0.15 12 0.0683 -7858.49 -0.04 -2361.20 0.03 13 0.0764 -8688.78 0.17 -2578.16 0.20 14 0.0765 -8700.37 -0.09 -2581.32 -0.00 15 0.0765 -8700.80 0.08 -2581.46 0.01 16 0.0765 -8705.70 0.01 -2582.85 -0.12 17 0.0899 -10001.44 0.38 -2913.31 0.08 18 0.0899 -10005.24 -0.17 -2914.24 -0.02 19 0.0900 -10013.35 -0.35 -2916.47 -0.24 20 0.0900 -10016.64 -0.03 -2917.01 0.13 21 0.0901 -10019.38 0.14 -2917.80 0.08
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.
16EM398 quality flag:1 Type: CENTAURR CENTAURR CENTAURR axisobj 11.223 12.987 9.802 ecceobj 0.185 0.152 0.259 incobj 43.916 44.135 43.700 qmin 9.017 9.227 6.772 qmax 13.302 17.163 12.343 amean 11.103 13.112 9.251 amin 10.928 12.705 8.955 amax 11.223 13.790 9.802 emean 0.179 0.219 0.251 emin 0.159 0.148 0.233 emax 0.192 0.281 0.267 imean 45.494 44.734 45.721 imin 45.315 42.976 45.124 imax 45.803 45.642 46.101 excite_mean 0.735 0.738 0.759 fracstop 0.000 0.043 0.001 cjmean 3.542 3.214 4.003 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 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 197.8 199.8 218.1 kozaiamp 1.1 177.8 2.9