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: 21QB98
# Created Sun Nov 24 02:11:08 2024
# Orbit generated from Bernstein formalism
# Fitting 6 observations of 6
# Arc: 1.22y
# First observation: 2021/08/29
# Last observation: 2022/11/19
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.010755 -0.000001 -0.000693 0.016080 0.000000
# Chi-squared of fit: 2.11 DOF: 6 RMS: 0.10
# Min/Max residuals: -0.15 0.17
# Exact a, adot, b, bdot, g, gdot:
1.118540E-05 1.068588E-02 -1.157050E-06 -6.946089E-04 1.596865E-02 -6.614963E-03
# Covariance matrix:
1.0488E-12 2.4896E-11 3.7549E-14 -1.9315E-12 3.8193E-11 2.3825E-09
2.4896E-11 2.0716E-09 3.0189E-12 -1.5595E-10 3.1000E-09 1.9249E-07
3.7549E-14 3.0189E-12 7.2996E-13 -8.8747E-13 4.5171E-12 2.8088E-10
-1.9315E-12 -1.5595E-10 -8.8747E-13 1.2655E-11 -2.3340E-10 -1.4502E-08
3.8193E-11 3.1000E-09 4.5171E-12 -2.3340E-10 4.6415E-09 2.8811E-07
2.3825E-09 1.9249E-07 2.8088E-10 -1.4502E-08 2.8811E-07 1.7899E-05
# lat0 lon0 xBary yBary zBary JD0
1.097396 -34.053712 -0.169889 0.018726 -0.986116 2459455.595561
# Heliocentric elements and errors
Epoch: 2459450.5000 = 2021/08/24
Mean Anomaly: 300.81575 +/- 38.527
Argument of Peri: 284.38840 +/- 16.808
Long of Asc Node: 162.29729 +/- 0.020
Inclination: 3.86707 +/- 0.005
Eccentricity: 0.52150872 +/- 0.2494
Semi-Major Axis: 64.17269891 +/- 23.6010
Time of Perihelion: 2490319.8543 +/- 10668.1
Perihelion: 30.70607656 +/- 19.5855
Aphelion: 97.63932125 +/- 39.3132
Period (y) 514.0835 +/- 283.60
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 52.79497072 +/- 0.2213
Ecliptic Y -35.47573018 +/- 0.1496
Ecliptic Z 1.19928771 +/- 0.0051
Ecliptic XDOT 0.00009319 +/- 0.0006
Ecliptic YDOT 0.00215940 +/- 0.0004
Ecliptic ZDOT -0.00014097 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 63.61819438 +/- 0.2017
Geocenter to KBO 62.62271887 +/- 0.2672
# Hcoef: 6.45
The following table shows the complete astrometric record for 21QB98. 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 (21QB98) followed by the observatory code and reference code for the source of the astrometry.
2021 08 29.09476 21 51 16.286 -11 50 13.75 24.4r 21QB98 807 C~6DKv 2021 08 30.09939 21 51 13.162 -11 50 30.98 24.3r 21QB98 807 C~6DKv 2022 09 02.23398 21 53 30.304 -11 41 03.66 24.4r 21QB98 304 C~6DKv 2022 09 03.24759 21 53 27.143 -11 41 21.21 24.5r 21QB98 304 C~6DKv 2022 10 16.02476 21 51 41.908 -11 51 20.98 24.3r 21QB98 304 C~6DKv 2022 11 19.03098 21 51 22.759 -11 53 51.06 24.4r 21QB98 304 C~6DKv
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 -0.12 0.00 0.10
2 0.0028 -48.99 0.13 -0.78 -0.09
3 1.0106 2038.29 0.17 -146.76 0.03
4 1.0134 1988.65 -0.15 -147.56 -0.09
5 1.1305 331.50 -0.12 -190.02 0.04
6 1.2236 16.29 0.09 -236.62 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.
21QB98 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0