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: 21QJ98 # Created Fri Nov 22 02:11:10 2024 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 1.01y # First observation: 2021/08/29 # Last observation: 2022/09/03 Preliminary a, adot, b, bdot, g, gdot: -0.000072 0.011539 -0.000002 0.004397 0.015324 0.000000 # Chi-squared of fit: 2.73 DOF: 14 RMS: 0.09 # Min/Max residuals: -0.15 0.25 # Exact a, adot, b, bdot, g, gdot: 1.236591E-05 1.158983E-02 4.713947E-06 4.453311E-03 1.572084E-02 7.065816E-03 # Covariance matrix: 5.5302E-13 1.3885E-12 -7.5823E-14 8.0155E-13 1.3421E-12 1.7835E-10 1.3885E-12 2.2170E-11 -8.3922E-13 8.9448E-12 1.4809E-11 1.9891E-09 -7.5823E-14 -8.3922E-13 4.1960E-13 -8.5712E-13 -6.2543E-13 -8.0774E-11 8.0155E-13 8.9448E-12 -8.5712E-13 4.8621E-12 6.4235E-12 8.4947E-10 1.3421E-12 1.4809E-11 -6.2543E-13 6.4235E-12 1.1186E-11 1.4324E-09 1.7835E-10 1.9891E-09 -8.0774E-11 8.4947E-10 1.4324E-09 1.8909E-07 # lat0 lon0 xBary yBary zBary JD0 -6.099888 -45.287894 -0.357893 -0.099481 -0.929332 2459455.539981 # Heliocentric elements and errors Epoch: 2459450.5000 = 2021/08/24 Mean Anomaly: 25.85042 +/- 2.530 Argument of Peri: 255.65251 +/- 0.147 Long of Asc Node: 330.31063 +/- 0.004 Inclination: 21.78310 +/- 0.005 Eccentricity: 0.58600197 +/- 0.0355 Semi-Major Axis: 100.36063909 +/- 6.3083 Time of Perihelion: 2433080.5911 +/- 691.2 Perihelion: 41.54910667 +/- 4.4142 Aphelion: 159.17217151 +/- 10.6191 Period (y) 1005.4334 +/- 94.80 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 45.41954413 +/- 0.0094 Ecliptic Y -45.36469574 +/- 0.0096 Ecliptic Z -6.75900669 +/- 0.0014 Ecliptic XDOT 0.00235807 +/- 0.0001 Ecliptic YDOT 0.00049972 +/- 0.0001 Ecliptic ZDOT 0.00064023 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 64.54901069 +/- 0.0095 Geocenter to KBO 63.60984149 +/- 0.0135 # Hcoef: 6.16
The following table shows the complete astrometric record for 21QJ98. 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 (21QJ98) followed by the observatory code and reference code for the source of the astrometry.
2021 08 29.03918 21 16 23.214 -22 14 43.32 24.4r 21QJ98 807 C~6Eqj 2021 08 29.18010 21 16 22.775 -22 14 44.51 24.4r 21QJ98 807 C~6Eqj 2021 10 02.00978 21 14 54.481 -22 17 35.74 24.3r 21QJ98 304 C~6Eqj 2021 10 06.00297 21 14 47.422 -22 17 35.28 24.0r 21QJ98 304 C~6Eqj 2022 04 08.36548 21 22 09.761 -21 31 05.66 24.1r 21QJ98 304 C~6Eqj 2022 04 09.37244 21 22 12.032 -21 30 57.84 24.4r 21QJ98 304 C~6Eqj 2022 04 29.40144 21 22 44.886 -21 29 26.73 24.5r 21QJ98 304 C~6Eqj 2022 04 30.40112 21 22 45.908 -21 29 25.34 23.9r 21QJ98 304 C~6Eqj 2022 09 02.21526 21 18 34.301 -21 48 45.30 24.1r 21QJ98 304 C~6Eqj 2022 09 03.21729 21 18 31.244 -21 48 53.67 24.2r 21QJ98 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 -0.15 0.00 -0.05 2 0.0004 -6.17 0.09 0.71 -0.02 3 0.0930 -1226.47 -0.01 206.57 -0.11 4 0.1039 -1319.79 0.06 236.40 0.25 5 0.6087 5395.44 -0.04 1011.42 -0.10 6 0.6115 5428.02 0.14 1008.99 -0.03 7 0.6663 5892.43 -0.11 952.61 0.05 8 0.6690 5906.43 0.04 949.48 -0.05 9 1.0107 2210.28 -0.05 930.05 -0.02 10 1.0135 2167.19 0.03 935.10 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.
21QJ98 quality flag:1 Type: 6:1EEEEE SCATNEAR SCATNEAR axisobj 98.382 120.489 85.088 ecceobj 0.580 0.677 0.483 incobj 21.851 21.859 21.844 qmin 40.248 37.705 43.043 qmax 163.009 213.013 130.624 amean 99.418 121.907 85.648 amin 97.542 119.430 84.438 amax 102.129 125.934 87.329 emean 0.583 0.677 0.483 emin 0.572 0.663 0.470 emax 0.596 0.691 0.496 imean 23.224 23.601 23.378 imin 22.888 22.877 22.900 imax 23.574 24.728 23.940 excite_mean 0.704 0.787 0.625 fracstop 1.000 1.000 1.000 cjmean 3.015 2.959 3.063 libcent 0 181.3 -180.0 -180.0 libamp 0 170.6 -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 259.8 300.5 194.2 kozaiamp 180.0 180.0 180.0