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: 21QH98 # Created Wed Dec 25 02:11:14 2024 # Orbit generated from Bernstein formalism # Fitting 11 observations of 12 # Arc: 4.24y # First observation: 2019/06/10 # Last observation: 2023/09/06 Preliminary a, adot, b, bdot, g, gdot: 0.000011 0.023688 -0.000002 0.000458 0.024389 0.000000 # Chi-squared of fit: 3.70 DOF: 16 RMS: 0.10 # Min/Max residuals: -0.16 0.26 # Exact a, adot, b, bdot, g, gdot: 1.532918E-05 2.341572E-02 4.357499E-07 4.544644E-04 2.400037E-02 4.847878E-04 # Covariance matrix: 7.2335E-13 -3.2418E-13 1.7270E-15 -3.8447E-15 3.0969E-14 -2.4317E-12 -3.2418E-13 5.9917E-12 -4.1616E-14 1.0616E-13 7.7182E-12 5.5035E-11 1.7270E-15 -4.1616E-14 5.9890E-13 -1.8115E-13 -5.2948E-14 -3.9322E-13 -3.8447E-15 1.0616E-13 -1.8115E-13 7.1664E-14 1.3607E-13 9.9800E-13 3.0969E-14 7.7182E-12 -5.2948E-14 1.3607E-13 1.0453E-11 6.9755E-11 -2.4317E-12 5.5035E-11 -3.9322E-13 9.9800E-13 6.9755E-11 5.2135E-10 # lat0 lon0 xBary yBary zBary JD0 -1.632451 -44.738433 0.841617 -0.015828 -0.554860 2458644.777079 # Heliocentric elements and errors Epoch: 2458640.5000 = 2019/06/06 Mean Anomaly: 6.91610 +/- 2.285 Argument of Peri: 296.46037 +/- 2.400 Long of Asc Node: 10.36819 +/- 0.015 Inclination: 1.93643 +/- 0.000 Eccentricity: 0.02387802 +/- 0.0001 Semi-Major Axis: 43.26123684 +/- 0.0131 Time of Perihelion: 2456643.8332 +/- 659.6 Perihelion: 42.22824421 +/- 0.0136 Aphelion: 44.29422947 +/- 0.0142 Period (y) 284.5487 +/- 0.13 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.38893345 +/- 0.0040 Ecliptic Y -30.31130941 +/- 0.0039 Ecliptic Z -1.18691652 +/- 0.0002 Ecliptic XDOT 0.00192886 +/- 0.0000 Ecliptic YDOT 0.00185719 +/- 0.0000 Ecliptic ZDOT 0.00005003 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.23616529 +/- 0.0040 Geocenter to KBO 41.66602352 +/- 0.0056 # Hcoef: 6.57
The following table shows the complete astrometric record for 21QH98. 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 (21QH98) followed by the observatory code and reference code for the source of the astrometry.
2019 06 10.276278 21 12 55.03 -17 49 07.6 21QH98 W84 C~79NT 2019 06 10.283160 21 12 55.01 -17 49 07.7 21QH98 W84 C~79NT 2021 08 29.04494 21 18 16.884 -17 22 17.36 23.0r 21QH98 807 C~6Eqj 2021 08 29.18581 21 18 16.258 -17 22 19.79 23.0r 21QH98 807 C~6Eqj 2021 10 01.99024 21 16 13.613 -17 30 36.82 22.8r 21QH98 304 C~6Eqj 2021 10 05.99186 21 16 04.112 -17 31 10.46 22.6r 21QH98 304 C~6Eqj 2022 09 03.16567 21 23 18.085 -16 57 21.82 22.8r 21QH98 304 C~6Eqj 2022 09 03.19057 21 23 17.974 -16 57 22.24 22.6r 21QH98 304 C~6Eqj 2022 09 17.99115 21 22 18.934 -17 01 33.81 22.7r 21QH98 304 C~6Eqj 2022 09 18.04062 21 22 18.761 -17 01 34.29 22.6r 21QH98 304 C~6Eqj 2023 09 06.132460 21 28 27.250 -16 31 17.04 22.7G 21QH98 G37 C~7BmW 2023 09 06.217470 21 28 26.881 -16 31 18.79 21QH98 G37 C~7BmW
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 -0.03 2 0.0000 -0.30 -0.05 -0.01 -0.03 3 2.2198 4873.96 0.26 154.59 -0.04 4 2.2201 4864.68 ( 0.52) 155.00 ( 0.17) 5 2.3127 3040.77 -0.05 211.69 0.02 6 2.3237 2901.01 -0.05 220.50 0.01 7 3.2331 9447.08 -0.15 254.57 -0.01 8 3.2332 9445.43 -0.15 254.67 0.04 9 3.2737 8560.52 -0.06 277.20 0.01 10 3.2738 8558.00 0.15 277.50 0.22 11 4.2405 14170.28 0.07 352.12 -0.04 12 4.2408 14164.67 0.01 352.14 -0.16
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.
21QH98 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.954 42.984 42.924 ecceobj 0.018 0.019 0.018 incobj 1.938 1.938 1.938 qmin 41.455 41.440 41.473 qmax 44.786 44.858 44.740 amean 43.047 43.077 43.018 amin 42.722 42.747 42.690 amax 43.384 43.413 43.349 emean 0.017 0.018 0.017 emin 0.000 0.000 0.000 emax 0.033 0.034 0.032 imean 2.252 2.246 2.258 imin 1.266 1.274 1.257 imax 3.061 3.053 3.066 excite_mean 0.043 0.043 0.043 fracstop 1.000 1.000 1.000 cjmean 3.088 3.088 3.088 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 185.8 187.5 185.3 kozaiamp 180.0 180.0 180.0