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: 19QZ109 # Created Mon Apr 28 01:11:16 2025 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 2.11y # First observation: 2019/08/29 # Last observation: 2021/10/07 Preliminary a, adot, b, bdot, g, gdot: -0.000008 0.021278 -0.000000 0.002022 0.022864 0.000000 # Chi-squared of fit: 1.94 DOF: 10 RMS: 0.09 # Min/Max residuals: -0.16 0.16 # Exact a, adot, b, bdot, g, gdot: 1.394832E-05 2.134673E-02 1.202091E-06 2.031393E-03 2.291783E-02 1.676864E-03 # Covariance matrix: 7.3860E-13 5.9952E-13 -7.9460E-15 6.0158E-14 1.6323E-12 1.4769E-11 5.9952E-13 4.5451E-12 -5.7478E-14 4.5584E-13 5.0458E-12 1.1078E-10 -7.9460E-15 -5.7478E-14 3.5459E-13 -2.1122E-13 -5.9231E-14 -1.5533E-12 6.0158E-14 4.5584E-13 -2.1122E-13 2.9876E-13 4.6135E-13 1.2392E-11 1.6323E-12 5.0458E-12 -5.9231E-14 4.6135E-13 7.9442E-12 1.1256E-10 1.4769E-11 1.1078E-10 -1.5533E-12 1.2392E-11 1.1256E-10 3.0078E-09 # lat0 lon0 xBary yBary zBary JD0 -1.198185 -9.186001 0.262675 -0.020269 -0.969318 2458724.712719 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 87.75933 +/- 0.293 Argument of Peri: 251.39404 +/- 0.241 Long of Asc Node: 2.63531 +/- 0.003 Inclination: 5.54392 +/- 0.001 Eccentricity: 0.07520256 +/- 0.0025 Semi-Major Axis: 44.48682279 +/- 0.0170 Time of Perihelion: 2432300.2871 +/- 87.0 Perihelion: 41.14129977 +/- 0.1128 Aphelion: 47.83234582 +/- 0.1132 Period (y) 296.7258 +/- 0.17 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.98314157 +/- 0.0053 Ecliptic Y -7.38531472 +/- 0.0009 Ecliptic Z -0.91236953 +/- 0.0001 Ecliptic XDOT 0.00061829 +/- 0.0000 Ecliptic YDOT 0.00248525 +/- 0.0000 Ecliptic ZDOT 0.00023821 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.60820591 +/- 0.0052 Geocenter to KBO 43.63414904 +/- 0.0054 # Hcoef: 8.97
The following table shows the complete astrometric record for 19QZ109. 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 (19QZ109) followed by the observatory code and reference code for the source of the astrometry.
2019 08 29.211918 23 28 08.077 -04 44 31.91 25.4r 19QZ109 W84 C~7XLh 2019 08 29.387113 23 28 07.334 -04 44 36.49 25.4r 19QZ109 W84 C~7XLh 2019 09 27.014583 23 26 06.921 -04 56 51.94 25.1r 19QZ109 W84 C~7XLh 2019 09 27.176040 23 26 06.237 -04 56 56.22 25.1r 19QZ109 W84 C~7XLh 2020 10 17.010669 23 29 06.665 -04 29 26.38 25.5r 19QZ109 W84 C~7XLh 2020 10 17.174574 23 29 06.095 -04 29 29.50 25.5r 19QZ109 W84 C~7XLh 2021 10 07.004805 23 34 03.315 -03 50 25.43 25.5r 19QZ109 W84 C~7XLh 2021 10 07.169933 23 34 02.660 -03 50 29.28 25.5r 19QZ109 W84 C~7XLh
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 0.16 0.00 0.04
2 0.0005 -12.01 -0.16 0.17 0.01
3 0.0789 -1956.01 0.09 32.63 0.09
4 0.0793 -1967.09 -0.09 32.72 -0.13
5 1.1357 1162.00 -0.10 486.92 -0.07
6 1.1361 1152.94 0.10 487.42 0.03
7 2.1076 6165.66 -0.02 884.26 0.01
8 2.1080 6155.12 0.02 884.61 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.
19QZ109 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.501 44.557 44.446 ecceobj 0.071 0.075 0.067 incobj 5.538 5.538 5.538 qmin 40.627 40.465 40.691 qmax 48.440 48.692 48.140 amean 44.399 44.454 44.343 amin 44.048 44.107 44.000 amax 44.763 44.834 44.712 emean 0.068 0.072 0.064 emin 0.054 0.057 0.048 emax 0.082 0.087 0.078 imean 5.859 5.864 5.853 imin 5.216 5.225 5.207 imax 6.380 6.379 6.376 excite_mean 0.123 0.125 0.120 fracstop 1.000 1.000 1.000 cjmean 3.088 3.088 3.088 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 178.5 178.2 178.4 kozaiamp 180.0 180.0 180.0