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: 19QS109
# Created Mon Apr 28 01:11:16 2025
# Orbit generated from Bernstein formalism
# Fitting 8 observations of 8
# Arc: 2.10y
# First observation: 2019/08/28
# Last observation: 2021/10/03
Preliminary a, adot, b, bdot, g, gdot:
-0.000001 0.020271 -0.000000 0.000337 0.022352 0.000000
# Chi-squared of fit: 0.84 DOF: 10 RMS: 0.06
# Min/Max residuals: -0.12 0.11
# Exact a, adot, b, bdot, g, gdot:
1.423383E-05 2.029082E-02 3.441458E-07 3.371167E-04 2.235913E-02 8.026248E-04
# Covariance matrix:
7.3937E-13 5.7501E-13 -1.3379E-15 1.1866E-14 1.4997E-12 1.7006E-11
5.7501E-13 4.0939E-12 -9.0590E-15 7.3652E-14 4.4563E-12 1.0747E-10
-1.3379E-15 -9.0590E-15 3.5650E-13 -2.0736E-13 -9.1609E-15 -2.6416E-13
1.1866E-14 7.3652E-14 -2.0736E-13 2.5046E-13 7.7100E-14 2.1262E-12
1.4997E-12 4.4563E-12 -9.1609E-15 7.7100E-14 6.7370E-12 1.1168E-10
1.7006E-11 1.0747E-10 -2.6416E-13 2.1262E-12 1.1168E-10 3.1091E-09
# lat0 lon0 xBary yBary zBary JD0
0.392434 -8.130576 0.296857 0.006577 -0.959734 2458723.711696
# Heliocentric elements and errors
Epoch: 2458720.5000 = 2019/08/25
Mean Anomaly: 138.19056 +/- 2.078
Argument of Peri: 239.77422 +/- 2.076
Long of Asc Node: 329.41686 +/- 0.031
Inclination: 1.02225 +/- 0.001
Eccentricity: 0.05655851 +/- 0.0016
Semi-Major Axis: 43.78441417 +/- 0.0110
Time of Perihelion: 2418099.2187 +/- 610.7
Perihelion: 41.30803316 +/- 0.0724
Aphelion: 46.26079517 +/- 0.0726
Period (y) 289.7260 +/- 0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 45.18481677 +/- 0.0051
Ecliptic Y -6.76179343 +/- 0.0008
Ecliptic Z 0.30634462 +/- 0.0000
Ecliptic XDOT 0.00045686 +/- 0.0000
Ecliptic YDOT 0.00244632 +/- 0.0000
Ecliptic ZDOT 0.00004173 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.68898515 +/- 0.0051
Geocenter to KBO 44.72445957 +/- 0.0052
# Hcoef: 8.79
The following table shows the complete astrometric record for 19QS109. 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 (19QS109) followed by the observatory code and reference code for the source of the astrometry.
2019 08 28.210895 23 29 30.592 -02 51 51.78 25.3r 19QS109 W84 C~7XLg 2019 08 28.388381 23 29 29.881 -02 51 56.18 25.3r 19QS109 W84 C~7XLg 2019 09 29.013696 23 27 20.863 -03 05 37.82 25.2r 19QS109 W84 C~7XLg 2019 09 29.177510 23 27 20.203 -03 05 42.20 25.2r 19QS109 W84 C~7XLg 2020 10 21.004397 23 30 12.829 -02 45 59.28 25.3r 19QS109 W84 C~7XLg 2020 10 21.174149 23 30 12.268 -02 46 02.96 25.3r 19QS109 W84 C~7XLg 2021 10 03.011907 23 35 33.400 -02 10 17.92 25.4r 19QS109 W84 C~7XLg 2021 10 03.165173 23 35 32.790 -02 10 21.86 25.4r 19QS109 W84 C~7XLg
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 -0.02
2 0.0005 -11.52 -0.03 0.16 0.00
3 0.0871 -2111.64 0.01 6.55 0.08
4 0.0875 -2122.46 -0.01 6.42 -0.12
5 1.1493 720.52 0.08 74.40 0.11
6 1.1498 711.34 -0.08 74.33 0.01
7 2.0994 5981.44 -0.01 144.67 -0.00
8 2.0998 5971.47 0.01 144.67 -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.
19QS109 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.829 43.865 43.793 ecceobj 0.052 0.054 0.051 incobj 1.030 1.029 1.030 qmin 40.439 39.251 39.222 qmax 47.279 48.537 48.678 amean 43.717 43.745 43.707 amin 43.355 43.328 43.329 amax 44.115 44.138 44.151 emean 0.050 0.065 0.065 emin 0.029 0.033 0.031 emax 0.073 0.100 0.103 imean 2.585 2.520 2.541 imin 1.783 1.591 1.640 imax 3.298 3.333 3.358 excite_mean 0.068 0.080 0.080 fracstop 1.000 1.000 1.000 cjmean 3.093 3.091 3.090 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 174.1 178.8 179.2 kozaiamp 180.0 180.0 180.0