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: 19GZ129 # Created Fri Nov 22 02:10:58 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 1.96y # First observation: 2019/04/04 # Last observation: 2021/03/18 Preliminary a, adot, b, bdot, g, gdot: -0.000003 0.013924 0.000000 0.000008 0.017416 0.000000 # Chi-squared of fit: 0.78 DOF: 10 RMS: 0.06 # Min/Max residuals: -0.10 0.08 # Exact a, adot, b, bdot, g, gdot: 1.253114E-05 1.410284E-02 3.668775E-07 7.647703E-06 1.764380E-02 5.508349E-03 # Covariance matrix: 8.0610E-13 7.4417E-12 5.5848E-14 4.5140E-17 9.7810E-12 2.8967E-10 7.4417E-12 9.0301E-10 6.0976E-12 -2.7217E-13 1.0962E-09 3.3266E-08 5.5848E-14 6.0976E-12 6.9507E-13 -3.7221E-13 7.4155E-12 2.2477E-10 4.5140E-17 -2.7217E-13 -3.7221E-13 2.9428E-13 -3.2219E-13 -9.9793E-12 9.7810E-12 1.0962E-09 7.4155E-12 -3.2219E-13 1.3323E-09 4.0404E-08 2.8967E-10 3.3266E-08 2.2477E-10 -9.9793E-12 4.0404E-08 1.2259E-06 # lat0 lon0 xBary yBary zBary JD0 8.668021 -153.149304 0.232335 0.146581 -0.961239 2458577.678171 # Heliocentric elements and errors Epoch: 2458570.5000 = 2019/03/28 Mean Anomaly: 57.40598 +/- 6.926 Argument of Peri: 349.50910 +/- 1.617 Long of Asc Node: 117.58619 +/- 0.078 Inclination: 8.52318 +/- 0.000 Eccentricity: 0.36411785 +/- 0.0713 Semi-Major Axis: 62.44082318 +/- 3.5320 Time of Perihelion: 2429832.5374 +/- 2465.1 Perihelion: 39.70500462 +/- 4.9891 Aphelion: 85.17664173 +/- 6.5620 Period (y) 493.4136 +/- 41.87 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -50.95962943 +/- 0.1034 Ecliptic Y -25.54690185 +/- 0.0523 Ecliptic Z 8.54177638 +/- 0.0177 Ecliptic XDOT 0.00024299 +/- 0.0001 Ecliptic YDOT -0.00233505 +/- 0.0001 Ecliptic ZDOT 0.00012978 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 57.64104414 +/- 0.0944 Geocenter to KBO 56.67712755 +/- 0.1173 # Hcoef: 6.99
The following table shows the complete astrometric record for 19GZ129. 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 (19GZ129) followed by the observatory code and reference code for the source of the astrometry.
2019 04 04.17737 13 52 07.853 -02 15 16.12 24.8r 19GZ129 807 C~5JzL 2019 04 05.16410 13 52 04.649 -02 14 55.39 24.7r 19GZ129 807 C~5JzL 2020 06 11.18427 13 51 42.723 -02 16 24.77 24.4r 19GZ129 G37 C~5JzL 2020 06 11.23775 13 51 42.610 -02 16 24.69 24.3r 19GZ129 G37 C~5JzL 2021 03 09.34053 13 59 18.344 -02 57 47.76 24.1G 19GZ129 304 C~5JzL 2021 03 09.38746 13 59 18.233 -02 57 46.65 24.4G 19GZ129 304 C~5JzL 2021 03 17.38363 13 58 58.310 -02 55 07.99 24.8r 19GZ129 304 C~5JzL 2021 03 18.32798 13 58 55.780 -02 54 48.72 24.7r 19GZ129 304 C~5JzL
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 -0.07 2 0.0027 -52.25 -0.02 2.32 0.07 3 1.1882 -327.71 0.02 -197.96 0.07 4 1.1884 -329.32 -0.03 -198.49 -0.06 5 1.9306 6938.88 0.03 -98.99 -0.10 6 1.9308 6936.93 -0.04 -98.54 0.08 7 1.9527 6601.28 0.05 -55.73 -0.04 8 1.9552 6558.97 -0.03 -51.12 0.06
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.
19GZ129 quality flag:1 Type: 3:1EE SCATNEAR CLASSICAL axisobj 61.885 77.060 55.633 ecceobj 0.367 0.555 0.181 incobj 8.523 8.523 8.523 qmin 38.724 33.410 45.153 qmax 88.356 127.628 67.400 amean 62.631 77.874 56.019 amin 61.628 75.436 55.498 amax 63.872 80.893 56.612 emean 0.370 0.560 0.180 emin 0.357 0.544 0.170 emax 0.383 0.578 0.191 imean 7.012 6.291 6.956 imin 6.875 5.340 6.875 imax 7.162 7.026 7.040 excite_mean 0.390 0.570 0.217 fracstop 1.000 1.000 1.000 cjmean 3.141 3.036 3.201 libcent 0 180.0 -180.0 -180.0 libamp 0 160.8 -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 156.1 177.4 184.1 kozaiamp 180.0 180.0 180.0