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: 19QK110 # Created Fri Nov 22 02:11:00 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 2.02y # First observation: 2019/08/28 # Last observation: 2021/09/05 Preliminary a, adot, b, bdot, g, gdot: -0.000013 0.015605 -0.000000 0.003372 0.019503 0.000000 # Chi-squared of fit: 1.26 DOF: 10 RMS: 0.07 # Min/Max residuals: -0.13 0.13 # Exact a, adot, b, bdot, g, gdot: 1.217274E-05 1.566466E-02 2.466635E-06 3.388941E-03 1.957360E-02 2.734081E-03 # Covariance matrix: 7.3243E-13 4.5207E-13 -1.9397E-14 1.6230E-13 1.4559E-12 2.4745E-11 4.5207E-13 3.2118E-12 -8.5941E-14 7.2588E-13 3.7525E-12 1.1065E-10 -1.9397E-14 -8.5941E-14 3.6183E-13 -2.3752E-13 -1.0923E-13 -3.2301E-12 1.6230E-13 7.2588E-13 -2.3752E-13 4.4674E-13 9.1840E-13 2.7285E-11 1.4559E-12 3.7525E-12 -1.0923E-13 9.1840E-13 6.4309E-12 1.4001E-10 2.4745E-11 1.1065E-10 -3.2301E-12 2.7285E-11 1.4001E-10 4.1591E-09 # lat0 lon0 xBary yBary zBary JD0 -1.141946 -8.394529 0.292432 -0.019151 -0.960923 2458723.711696 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 108.43434 +/- 0.730 Argument of Peri: 227.63460 +/- 0.639 Long of Asc Node: 356.45625 +/- 0.001 Inclination: 12.22496 +/- 0.002 Eccentricity: 0.18728374 +/- 0.0029 Semi-Major Axis: 47.85736529 +/- 0.0461 Time of Perihelion: 2422296.6411 +/- 239.5 Perihelion: 38.89445897 +/- 0.1417 Aphelion: 56.82027162 +/- 0.1472 Period (y) 331.0788 +/- 0.48 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 51.44279441 +/- 0.0065 Ecliptic Y -7.89355997 +/- 0.0010 Ecliptic Z -1.01804979 +/- 0.0001 Ecliptic XDOT 0.00071594 +/- 0.0000 Ecliptic YDOT 0.00211098 +/- 0.0000 Ecliptic ZDOT 0.00046609 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 52.05483465 +/- 0.0065 Geocenter to KBO 51.08923360 +/- 0.0066 # Hcoef: 7.55
The following table shows the complete astrometric record for 19QK110. 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 (19QK110) followed by the observatory code and reference code for the source of the astrometry.
2019 08 28.210895 23 30 57.815 -04 22 42.47 24.6r 19QK110 W84 C~7XLh 2019 08 28.388381 23 30 57.164 -04 22 46.34 24.6r 19QK110 W84 C~7XLh 2019 09 29.013696 23 29 00.329 -04 34 11.04 24.6r 19QK110 W84 C~7XLh 2019 09 29.177510 23 28 59.732 -04 34 14.33 24.6r 19QK110 W84 C~7XLh 2020 10 17.010669 23 30 56.919 -04 08 16.32 24.7r 19QK110 W84 C~7XLh 2020 10 17.174574 23 30 56.399 -04 08 19.10 24.7r 19QK110 W84 C~7XLh 2021 09 05.096099 23 36 26.592 -03 21 55.19 24.6r 19QK110 W84 C~7XLh 2021 09 05.195929 23 36 26.204 -03 21 57.36 24.6r 19QK110 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 0.10 0.00 0.06 2 0.0005 -10.47 -0.10 0.29 0.01 3 0.0871 -1886.13 -0.06 60.10 -0.08 4 0.0875 -1895.63 0.07 60.60 -0.01 5 1.1384 329.53 0.02 801.13 -0.00 6 1.1388 321.28 -0.02 801.65 0.04 7 2.0230 5963.32 0.13 1404.70 -0.06 8 2.0232 5957.12 -0.13 1405.01 0.04
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.
19QK110 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 47.851 47.979 47.731 ecceobj 0.182 0.189 0.175 incobj 12.206 12.206 12.206 qmin 38.118 37.674 36.609 qmax 57.832 58.416 59.812 amean 47.798 47.798 47.795 amin 47.357 47.315 47.197 amax 48.302 48.342 48.478 emean 0.169 0.168 0.208 emin 0.134 0.128 0.172 emax 0.199 0.210 0.235 imean 13.512 13.648 12.468 imin 12.659 12.700 11.913 imax 14.449 14.681 13.076 excite_mean 0.289 0.290 0.300 fracstop 1.000 1.000 1.000 cjmean 3.044 3.043 3.036 libcent 0 87.0 90.1 180.1 libamp 0 27.3 38.7 149.6 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 180.1 168.4 197.4 kozaiamp 179.9 179.9 180.0