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: 21QG98 # Created Wed Dec 25 02:11:14 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 13 observations of 13 # Arc: 9.17y # First observation: 2013/07/04 # Last observation: 2022/09/03 # Chi-squared of fit: 3.19 DOF: 20 RMS: 0.09 # Min/Max residuals: -0.20 0.17 # Exact a, adot, b, bdot, g, gdot: 1.145365E-05 1.298761E-02 -4.680435E-06 -4.987148E-03 1.777743E-02 6.440024E-03 # Covariance matrix: 6.4199E-13 -3.1098E-13 -4.5666E-14 9.4963E-14 -3.2221E-13 -2.2134E-12 -3.1098E-13 1.0735E-12 1.9685E-13 -4.0838E-13 1.6889E-12 9.4736E-12 -4.5666E-14 1.9685E-13 6.0853E-13 -1.4408E-13 3.0952E-13 1.7569E-12 9.4963E-14 -4.0838E-13 -1.4408E-13 1.6750E-13 -6.4114E-13 -3.6455E-12 -3.2221E-13 1.6889E-12 3.0952E-13 -6.4114E-13 2.9574E-12 1.4828E-11 -2.2134E-12 9.4736E-12 1.7569E-12 -3.6455E-12 1.4828E-11 8.4605E-11 # lat0 lon0 xBary yBary zBary JD0 -3.423019 -53.049868 0.422951 -0.055356 -0.925618 2456477.982592 # Heliocentric elements and errors Epoch: 2456478.5000 = 2013/07/05 Mean Anomaly: 56.52042 +/- 0.050 Argument of Peri: 83.88497 +/- 0.014 Long of Asc Node: 117.84424 +/- 0.000 Inclination: 21.29428 +/- 0.000 Eccentricity: 0.41829063 +/- 0.0005 Semi-Major Axis: 61.59209605 +/- 0.0223 Time of Perihelion: 2428758.7836 +/- 29.0 Perihelion: 35.82869918 +/- 0.0343 Aphelion: 87.35549292 +/- 0.0448 Period (y) 483.3878 +/- 0.26 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.97335143 +/- 0.0033 Ecliptic Y -45.86572924 +/- 0.0043 Ecliptic Z -3.35881345 +/- 0.0003 Ecliptic XDOT 0.00215976 +/- 0.0000 Ecliptic YDOT 0.00044724 +/- 0.0000 Ecliptic ZDOT -0.00082576 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 57.17603773 +/- 0.0040 Geocenter to KBO 56.25081079 +/- 0.0054 # Hcoef: 5.65
The following table shows the complete astrometric record for 21QG98. 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 (21QG98) followed by the observatory code and reference code for the source of the astrometry.
2013 07 04.481814 20 41 06.21 -21 50 42.8 22.8r 21QG98 T14 C~79NT 2013 07 04.497462 20 41 06.15 -21 50 43.2 21QG98 T14 C~79NT 2015 08 15.056924 20 45 22.73 -22 11 53.6 21QG98 W84 C~79NT 2021 08 31.02903 21 03 57.474 -22 37 47.70 23.8r 21QG98 807 C~6Eqj 2021 08 31.19370 21 03 56.927 -22 37 49.54 23.8r 21QG98 807 C~6Eqj 2021 10 01.99792 21 02 35.351 -22 42 41.73 23.5r 21QG98 304 C~6Eqj 2021 10 05.99841 21 02 28.777 -22 42 58.31 23.2r 21QG98 304 C~6Eqj 2021 10 10.99746 21 02 21.980 -22 43 11.77 23.5r 21QG98 304 C~6Eqj 2021 10 12.00226 21 02 20.807 -22 43 13.63 23.5r 21QG98 304 C~6Eqj 2022 04 08.37160 21 10 57.065 -22 09 50.70 23.2r 21QG98 304 C~6Eqj 2022 04 09.37857 21 10 59.434 -22 09 48.39 23.5r 21QG98 304 C~6Eqj 2022 09 02.22113 21 06 59.443 -22 40 55.30 23.2r 21QG98 304 C~6Eqj 2022 09 03.19790 21 06 56.362 -22 41 07.95 23.2r 21QG98 304 C~6Eqj
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 0.01 0.00 0.05
2 0.0000 0.00 -0.10 0.00 -0.08
3 2.1125 0.00 0.17 0.00 0.04
4 8.1576 0.00 -0.02 0.00 -0.20
5 8.1580 0.00 -0.15 0.00 0.15
6 8.2451 0.00 -0.03 0.00 0.05
7 8.2560 0.00 -0.10 0.00 -0.09
8 8.2697 0.00 0.00 0.00 0.09
9 8.2725 0.00 0.01 0.00 0.04
10 8.7608 0.00 0.01 0.00 -0.06
11 8.7636 0.00 0.00 0.00 0.07
12 9.1629 0.00 0.12 0.00 0.01
13 9.1655 0.00 0.00 0.00 -0.08
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.
21QG98 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 61.643 61.643 61.642 ecceobj 0.416 0.416 0.416 incobj 21.253 21.253 21.253 qmin 35.336 35.334 35.327 qmax 89.973 90.086 89.944 amean 61.961 61.961 61.958 amin 61.249 61.238 61.246 amax 62.987 63.012 62.977 emean 0.412 0.412 0.412 emin 0.395 0.395 0.395 emax 0.429 0.430 0.429 imean 20.221 20.221 20.221 imin 19.588 19.582 19.578 imax 21.181 21.171 21.183 excite_mean 0.538 0.538 0.538 fracstop 1.000 1.000 1.000 cjmean 2.939 2.939 2.939 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 191.3 191.3 191.1 kozaiamp 180.0 180.0 179.9