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: 16ES398 # Created Sun Feb 23 02:10:42 2025 # Orbit generated from Bernstein formalism # Fitting 14 observations of 14 # Arc: 27.95d # First observation: 2016/02/08 # Last observation: 2016/03/07 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.032237 0.000001 -0.008681 0.025794 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 2.34 DOF: 23 RMS: 0.07 # Min/Max residuals: -0.12 0.13 # Exact a, adot, b, bdot, g, gdot: 1.691244E-05 2.716217E-02 -5.524141E-06 -8.501715E-03 2.501916E-02 2.297260E-03 # Covariance matrix: 1.2192E-12 1.3471E-09 2.5960E-13 -5.0627E-11 2.1408E-10 -2.8821E-09 1.3471E-09 2.1924E-06 4.1217E-10 -7.9807E-08 3.4117E-07 -8.6859E-06 2.5960E-13 4.1217E-10 3.5658E-13 -1.9241E-11 6.4339E-11 -1.5053E-09 -5.0627E-11 -7.9807E-08 -1.9241E-11 3.0242E-09 -1.2470E-08 2.8315E-07 2.1408E-10 3.4117E-07 6.4339E-11 -1.2470E-08 5.3227E-08 -1.2643E-06 -2.8821E-09 -8.6859E-06 -1.5053E-09 2.8315E-07 -1.2643E-06 9.1244E-05 # lat0 lon0 xBary yBary zBary JD0 -11.995999 141.463806 0.047863 -0.204251 -0.962114 2457426.964839 # Heliocentric elements and errors Epoch: 2457420.5000 = 2016/02/02 Mean Anomaly: 7.27640 +/- 30.485 Argument of Peri: 198.14530 +/- 71.818 Long of Asc Node: 288.46671 +/- 1.341 Inclination: 20.86800 +/- 0.693 Eccentricity: 0.36240496 +/- 0.1027 Semi-Major Axis: 63.48972433 +/- 7.1587 Time of Perihelion: 2453685.6980 +/- 15634.2 Perihelion: 40.48073358 +/- 7.9589 Aphelion: 86.49871508 +/- 11.7317 Period (y) 505.8985 +/- 85.56 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -31.32555117 +/- 0.2820 Ecliptic Y 25.00545365 +/- 0.2246 Ecliptic Z -8.30759955 +/- 0.0766 Ecliptic XDOT -0.00189333 +/- 0.0008 Ecliptic YDOT -0.00229927 +/- 0.0007 Ecliptic ZDOT -0.00096226 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 40.93383782 +/- 0.2562 Geocenter to KBO 39.96936164 +/- 0.3686 # Hcoef: 8.08
The following table shows the complete astrometric record for 16ES398. 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 (16ES398) followed by the observatory code and reference code for the source of the astrometry.
2016 02 08.46405 09 20 02.43 +02 57 51.6 24.1r 16ES398 T09 C~8eUr 2016 02 08.48335 09 20 02.33 +02 57 51.9 24.1r 16ES398 T09 C~8eUr 2016 02 08.51059 09 20 02.20 +02 57 52.4 24.1r 16ES398 T09 C~8eUr 2016 02 12.27941 09 19 43.97 +02 59 01.3 23.5y 16ES398 T09 C~8eUr 2016 02 12.29636 09 19 43.89 +02 59 01.8 23.2y 16ES398 T09 C~8eUr 2016 02 12.30179 09 19 43.86 +02 59 01.8 24.0y 16ES398 T09 C~8eUr 2016 03 04.33690 09 18 07.24 +03 06 29.2 24.3i 16ES398 T09 C~8eUr 2016 03 04.35330 09 18 07.18 +03 06 29.5 24.4i 16ES398 T09 C~8eUr 2016 03 04.38346 09 18 07.05 +03 06 30.2 23.9i 16ES398 T09 C~8eUr 2016 03 04.39700 09 18 06.99 +03 06 30.7 23.9i 16ES398 T09 C~8eUr 2016 03 04.40242 09 18 06.96 +03 06 30.7 23.8i 16ES398 T09 C~8eUr 2016 03 04.40786 09 18 06.94 +03 06 30.7 23.9i 16ES398 T09 C~8eUr 2016 03 07.34213 09 17 54.73 +03 07 38.5 24.9g 16ES398 T09 C~8eUr 2016 03 07.41500 09 17 54.42 +03 07 40.3 24.8g 16ES398 T09 C~8eUr
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 0.05 0.00 0.03 2 0.0001 -1.52 -0.00 -0.18 -0.03 3 0.0001 -3.52 0.05 -0.31 0.01 4 0.0104 -284.48 -0.03 -19.92 -0.08 5 0.0105 -285.77 -0.04 -19.81 0.10 6 0.0105 -286.20 -0.06 -19.95 -0.01 7 0.0681 -1800.86 -0.08 -45.35 -0.03 8 0.0681 -1801.81 0.09 -45.34 -0.05 9 0.0682 -1803.88 0.10 -45.28 -0.04 10 0.0683 -1804.89 0.02 -45.09 0.13 11 0.0683 -1805.32 -0.04 -45.23 -0.02 12 0.0683 -1805.60 0.05 -45.32 -0.12 13 0.0763 -2000.51 0.01 -37.78 0.02 14 0.0765 -2005.49 -0.11 -37.52 0.10
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.
16ES398 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0