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: 19EK7 # Created Tue Apr 1 01:11:12 2025 # Orbit generated from Bernstein formalism # Fitting 19 observations of 19 # Arc: 1.96y # First observation: 2017/03/23 # Last observation: 2019/03/08 Preliminary a, adot, b, bdot, g, gdot: -0.000052 0.024939 0.000001 -0.000429 0.024594 0.000000 # Chi-squared of fit: 6.12 DOF: 32 RMS: 0.10 # Min/Max residuals: -0.23 0.20 # Exact a, adot, b, bdot, g, gdot: 1.583066E-05 2.488934E-02 -3.986914E-08 -4.290090E-04 2.473106E-02 -9.403448E-04 # Covariance matrix: 7.2339E-13 -1.0540E-12 -4.6059E-15 1.2881E-14 -4.6505E-13 -1.3210E-11 -1.0540E-12 2.8149E-12 1.7315E-14 -4.6622E-14 2.3113E-12 4.8513E-11 -4.6059E-15 1.7315E-14 4.5346E-13 -2.7224E-13 1.8782E-14 3.4070E-13 1.2881E-14 -4.6622E-14 -2.7224E-13 1.9751E-13 -4.7612E-14 -9.0052E-13 -4.6505E-13 2.3113E-12 1.8782E-14 -4.7612E-14 3.4326E-12 5.0737E-11 -1.3210E-11 4.8513E-11 3.4070E-13 -9.0052E-13 5.0737E-11 9.4383E-10 # lat0 lon0 xBary yBary zBary JD0 1.401852 172.642481 -0.166175 0.024125 -0.979153 2457835.710834 # Heliocentric elements and errors Epoch: 2457830.5000 = 2017/03/18 Mean Anomaly: 335.19995 +/- 0.690 Argument of Peri: 154.78215 +/- 0.825 Long of Asc Node: 46.95151 +/- 0.027 Inclination: 1.68997 +/- 0.001 Eccentricity: 0.07760614 +/- 0.0007 Semi-Major Axis: 44.49992159 +/- 0.0142 Time of Perihelion: 2465299.9292 +/- 207.7 Perihelion: 41.04645429 +/- 0.0348 Aphelion: 47.95338889 +/- 0.0357 Period (y) 296.8568 +/- 0.14 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -41.08594322 +/- 0.0030 Ecliptic Y 5.13207568 +/- 0.0004 Ecliptic Z 0.98920732 +/- 0.0001 Ecliptic XDOT -0.00024733 +/- 0.0000 Ecliptic YDOT -0.00275245 +/- 0.0000 Ecliptic ZDOT -0.00005010 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.41704314 +/- 0.0030 Geocenter to KBO 40.43498492 +/- 0.0030 # Hcoef: 8.16
The following table shows the complete astrometric record for 19EK7. 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 (19EK7) followed by the observatory code and reference code for the source of the astrometry.
2017 03 23.210033 11 35 11.748 +04 12 27.25 24.2V 19EK7 W84 C~8HR7 2017 03 24.211889 11 35 07.258 +04 12 55.66 23.9V 19EK7 W84 C~8HR7 2018 03 18.45971 11 40 47.91 +03 34 41.5 24.0i 19EK7 T09 C~83G9 2018 03 18.50304 11 40 47.71 +03 34 42.6 24.1i 19EK7 T09 C~83G9 2018 03 18.50571 11 40 47.71 +03 34 43.0 23.8i 19EK7 T09 C~83G9 2018 03 18.57604 11 40 47.38 +03 34 44.8 23.9i 19EK7 T09 C~83G9 2018 04 24.39881 11 38 16.65 +03 50 19.1 23.9z 19EK7 T09 C~83G9 2018 04 24.48536 11 38 16.36 +03 50 20.6 23.8z 19EK7 T09 C~83G9 2018 04 24.49338 11 38 16.35 +03 50 20.6 23.7z 19EK7 T09 C~83G9 2019 02 04.58665 11 48 53.91 +02 40 10.8 25.1g 19EK7 T09 C~83G9 2019 02 04.63104 11 48 53.75 +02 40 11.8 25.2g 19EK7 T09 C~83G9 2019 02 04.66041 11 48 53.67 +02 40 12.5 25.3g 19EK7 T09 C~83G9 2019 02 05.45522 11 48 51.14 +02 40 29.9 23.7i 19EK7 T09 C~83G9 2019 02 05.47125 11 48 51.10 +02 40 30.1 24.0i 19EK7 T09 C~83G9 2019 02 05.51157 11 48 50.96 +02 40 30.9 24.0i 19EK7 T09 C~83G9 2019 03 08.34835 11 46 48.27 +02 54 07.4 24.6r 19EK7 T09 C~83G9 2019 03 08.40222 11 46 48.02 +02 54 09.1 24.7r 19EK7 T09 C~83G9 2019 03 08.40431 11 46 48.02 +02 54 09.1 24.5r 19EK7 T09 C~83G9 2019 03 08.43394 11 46 47.89 +02 54 09.9 24.1r 19EK7 T09 C~83G9
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 -0.05 2 0.0027 -72.93 -0.00 -0.48 0.08 3 0.9863 5518.09 -0.06 -86.25 -0.03 4 0.9864 5514.91 0.02 -86.43 -0.17 5 0.9864 5514.75 0.06 -86.07 0.20 6 0.9866 5509.49 0.08 -86.38 -0.05 7 1.0874 3066.69 -0.19 -123.95 0.13 8 1.0877 3062.11 -0.12 -124.29 -0.04 9 1.0877 3061.97 0.18 -124.35 -0.09 10 1.8710 13515.55 0.00 -189.75 0.02 11 1.8711 13512.94 -0.23 -189.79 -0.05 12 1.8712 13511.55 -0.04 -189.62 0.10 13 1.8734 13469.67 -0.10 -188.78 0.03 14 1.8734 13469.04 0.14 -188.84 -0.04 15 1.8735 13466.79 0.08 -188.94 -0.16 16 1.9579 11448.14 0.02 -172.84 -0.03 17 1.9581 11444.02 -0.09 -172.77 0.06 18 1.9581 11444.02 0.07 -172.77 0.06 19 1.9582 11441.91 0.17 -172.81 0.03
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.
19EK7 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.105 44.137 44.074 ecceobj 0.068 0.069 0.067 incobj 1.692 1.692 1.692 qmin 40.353 40.367 40.382 qmax 48.367 48.523 48.245 amean 44.263 44.296 44.231 amin 43.918 43.937 43.887 amax 44.632 44.671 44.599 emean 0.068 0.070 0.067 emin 0.052 0.054 0.051 emax 0.084 0.086 0.082 imean 1.407 1.412 1.403 imin 0.610 0.619 0.601 imax 2.009 2.013 2.011 excite_mean 0.073 0.074 0.072 fracstop 1.000 1.000 1.000 cjmean 3.098 3.098 3.098 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 170.1 170.3 169.8 kozaiamp 179.9 180.0 180.0