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: 21DQ15 # Created Wed May 8 01:18:40 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 11 observations of 11 # Arc: 14.81y # First observation: 2007/02/13 # Last observation: 2021/12/07 # Chi-squared of fit: 6.83 DOF: 16 RMS: 0.14 # Min/Max residuals: -0.39 0.29 # Exact a, adot, b, bdot, g, gdot: 1.040069E-05 1.025052E-02 -6.034571E-07 -5.053727E-04 1.556952E-02 4.134179E-03 # Covariance matrix: 1.4681E-12 -2.2880E-13 -3.4608E-15 6.3193E-15 -2.0824E-13 -9.0412E-13 -2.2880E-13 3.6395E-13 9.1636E-15 -1.8122E-14 9.0646E-13 2.5998E-12 -3.4608E-15 9.1636E-15 1.4001E-12 -1.0159E-13 2.2445E-14 6.6735E-14 6.3193E-15 -1.8122E-14 -1.0159E-13 9.0708E-15 -4.7122E-14 -1.3265E-13 -2.0824E-13 9.0646E-13 2.2445E-14 -4.7122E-14 2.9185E-12 6.7726E-12 -9.0412E-13 2.5998E-12 6.6735E-14 -1.3265E-13 6.7726E-12 1.9032E-11 # lat0 lon0 xBary yBary zBary JD0 -1.183597 90.530506 -0.791905 -0.012099 -0.590884 2454144.773765 # Heliocentric elements and errors Epoch: 2454144.5000 = 2007/02/13 Mean Anomaly: 93.30219 +/- 0.033 Argument of Peri: 66.90196 +/- 0.017 Long of Asc Node: 248.81174 +/- 0.005 Inclination: 3.07243 +/- 0.000 Eccentricity: 0.41736742 +/- 0.0003 Semi-Major Axis: 55.10690603 +/- 0.0082 Time of Perihelion: 2415419.0200 +/- 16.1 Perihelion: 32.10707884 +/- 0.0152 Aphelion: 78.10673323 +/- 0.0185 Period (y) 409.0885 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -1.39468991 +/- 0.0001 Ecliptic Y 64.79096132 +/- 0.0070 Ecliptic Z -1.32675382 +/- 0.0002 Ecliptic XDOT -0.00180365 +/- 0.0000 Ecliptic YDOT 0.00070470 +/- 0.0000 Ecliptic ZDOT -0.00010394 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 64.81927441 +/- 0.0070 Geocenter to KBO 64.22783089 +/- 0.0070 # Hcoef: 6.13
The following table shows the complete astrometric record for 21DQ15. 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 (21DQ15) followed by the observatory code and reference code for the source of the astrometry.
2007 02 13.273011 06 02 17.54 +22 15 16.7 21DQ15 T14 C~5zHK 2019 03 01.095662 06 30 44.49 +21 44 46.8 24.5V 21DQ15 W84 C~5zHK 2019 03 01.097716 06 30 44.47 +21 44 46.8 24.4V 21DQ15 W84 C~5zHK 2020 01 30.146238 06 34 07.96 +21 40 14.6 24.1V 21DQ15 W84 C~5zHK 2021 02 16.355360 06 35 37.919 +21 37 42.02 24.7G 21DQ15 568 C~5Jzg 2021 02 17.386984 06 35 35.746 +21 37 44.80 24.5G 21DQ15 568 C~5Jzg 2021 03 17.06206 06 35 00.027 +21 38 43.42 24.5r 21DQ15 304 C~5Jzg 2021 03 18.03968 06 34 59.616 +21 38 45.06 24.5r 21DQ15 304 C~5Jzg 2021 12 06.20909 06 41 37.858 +21 30 36.30 24.4r 21DQ15 304 C~5Jzg 2021 12 06.24494 06 41 37.741 +21 30 36.45 24.5r 21DQ15 304 C~5Jzg 2021 12 07.23716 06 41 34.674 +21 30 38.89 24.3r 21DQ15 304 C~5Jzg
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 0.00 0.00 0.02
2 12.0433 0.00 0.29 0.00 -0.05
3 12.0433 0.00 0.03 0.00 -0.06
4 12.9606 0.00 -0.39 0.00 0.13
5 14.0098 0.00 0.02 0.00 -0.03
6 14.0126 0.00 0.04 0.00 0.01
7 14.0884 0.00 0.03 0.00 -0.25
8 14.0911 0.00 -0.07 0.00 -0.07
9 14.8116 0.00 0.09 0.00 -0.02
10 14.8117 0.00 0.02 0.00 0.05
11 14.8144 0.00 0.05 0.00 0.25
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.
21DQ15 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 55.721 55.721 55.720 ecceobj 0.416 0.416 0.416 incobj 3.045 3.045 3.045 qmin 31.697 31.697 31.709 qmax 80.702 80.702 80.764 amean 55.462 55.462 55.462 amin 54.692 54.692 54.704 amax 56.485 56.485 56.503 emean 0.417 0.417 0.417 emin 0.407 0.407 0.407 emax 0.429 0.429 0.429 imean 4.418 4.418 4.409 imin 4.188 4.188 4.180 imax 4.607 4.607 4.603 excite_mean 0.425 0.425 0.424 fracstop 1.000 1.000 1.000 cjmean 3.002 3.002 3.002 libcent 0 180.0 180.2 179.9 libamp 0 99.3 99.4 97.2 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 167.9 167.9 165.1 kozaiamp 117.3 117.4 112.9