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: 22GZ3 # Created Fri May 3 01:18:53 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 16 observations of 16 # Arc: 6.27y # First observation: 2015/12/27 # Last observation: 2022/04/05 # Chi-squared of fit: 23.85 DOF: 26 RMS: 0.22 # Min/Max residuals: -0.60 0.41 # Exact a, adot, b, bdot, g, gdot: 1.518589E-05 2.322390E-02 3.367026E-06 6.466160E-03 2.436993E-02 -1.806175E-04 # Covariance matrix: 1.3274E-12 -7.0041E-13 1.3794E-13 -1.4353E-13 -6.7774E-13 -3.1533E-12 -7.0041E-13 7.1098E-13 -1.5364E-13 1.6569E-13 1.0756E-12 3.6358E-12 1.3794E-13 -1.5364E-13 8.9626E-13 -1.9492E-13 -1.5847E-13 -9.2358E-13 -1.4353E-13 1.6569E-13 -1.9492E-13 7.4019E-14 2.0162E-13 9.5851E-13 -6.7774E-13 1.0756E-12 -1.5847E-13 2.0162E-13 2.8022E-12 4.4022E-12 -3.1533E-12 3.6358E-12 -9.2358E-13 9.5851E-13 4.4022E-12 2.1060E-11 # lat0 lon0 xBary yBary zBary JD0 -3.229010 -168.489282 0.977758 0.006687 0.114623 2457383.858097 # Heliocentric elements and errors Epoch: 2457384.5000 = 2015/12/28 Mean Anomaly: 305.05927 +/- 0.213 Argument of Peri: 46.37688 +/- 0.234 Long of Asc Node: 201.68437 +/- 0.000 Inclination: 15.78119 +/- 0.000 Eccentricity: 0.03550936 +/- 0.0002 Semi-Major Axis: 41.75030455 +/- 0.0097 Time of Perihelion: 2472422.1459 +/- 65.1 Perihelion: 40.26777787 +/- 0.0127 Aphelion: 43.23283123 +/- 0.0132 Period (y) 269.7725 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -40.23125569 +/- 0.0028 Ecliptic Y -7.19639809 +/- 0.0006 Ecliptic Z -2.31125398 +/- 0.0002 Ecliptic XDOT 0.00049949 +/- 0.0000 Ecliptic YDOT -0.00256763 +/- 0.0000 Ecliptic ZDOT 0.00072646 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.93513811 +/- 0.0027 Geocenter to KBO 41.03419882 +/- 0.0028 # Hcoef: 7.33
The following table shows the complete astrometric record for 22GZ3. 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 (22GZ3) followed by the observatory code and reference code for the source of the astrometry.
2015 12 27.357308 12 37 14.47 -07 31 24.0 22.8z 22GZ3 W84 C~79Nj 2018 02 20.337664 12 47 31.36 -07 47 40.0 23.1g 22GZ3 W84 C~79Nj 2019 02 06.326493 12 53 48.50 -08 02 26.4 23.4g 22GZ3 W84 C~79Nj 2021 03 26.220994 13 02 23.54 -08 03 38.0 22.9i 22GZ3 W84 C~79Nj 2021 04 16.10088 13 00 48.17 -07 52 24.9 23.3R 22GZ3 W93 C~5Y3z 2021 04 16.13587 13 00 48.02 -07 52 23.9 23.2R 22GZ3 W93 C~5Y3z 2021 04 16.17102 13 00 47.85 -07 52 22.8 23.7R 22GZ3 W93 C~5Y3z 2021 04 18.10088 13 00 39.18 -07 51 20.0 23.7R 22GZ3 W93 C~5Y3z 2021 04 18.13546 13 00 39.02 -07 51 19.4 22.8R 22GZ3 W93 C~5Y3z 2021 04 18.17011 13 00 38.87 -07 51 18.1 23.4R 22GZ3 W93 C~5Y3z 2022 04 03.11592 13 07 32.60 -08 09 30.7 22GZ3 W93 C~5Y3z 2022 04 03.15089 13 07 32.43 -08 09 29.2 22GZ3 W93 C~5Y3z 2022 04 03.18623 13 07 32.28 -08 09 28.5 22GZ3 W93 C~5Y3z 2022 04 05.12689 13 07 23.35 -08 08 26.7 23.1R 22GZ3 W93 C~5Y3z 2022 04 05.15454 13 07 23.22 -08 08 24.8 23.2R 22GZ3 W93 C~5Y3z 2022 04 05.18230 13 07 23.11 -08 08 24.2 23.1R 22GZ3 W93 C~5Y3z
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 0.05 0.00 0.17
2 2.1519 0.00 -0.18 0.00 0.06
3 3.1129 0.00 0.17 0.00 -0.40
4 5.2453 0.00 -0.38 0.00 0.03
5 5.3025 0.00 -0.15 0.00 0.06
6 5.3026 0.00 0.02 0.00 -0.07
7 5.3027 0.00 -0.11 0.00 -0.11
8 5.3080 0.00 0.16 0.00 0.32
9 5.3081 0.00 0.12 0.00 -0.19
10 5.3082 0.00 0.25 0.00 -0.01
11 6.2663 0.00 0.01 0.00 -0.04
12 6.2664 0.00 -0.10 0.00 0.34
13 6.2665 0.00 0.13 0.00 -0.09
14 6.2718 0.00 -0.06 0.00 -0.60
15 6.2719 0.00 -0.07 0.00 0.41
16 6.2719 0.00 0.23 0.00 0.12
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.
22GZ3 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.340 41.340 41.340 ecceobj 0.031 0.031 0.031 incobj 15.859 15.859 15.859 qmin 39.583 39.584 39.583 qmax 43.628 43.624 43.628 amean 41.546 41.546 41.546 amin 41.240 41.239 41.243 amax 41.868 41.868 41.869 emean 0.030 0.030 0.030 emin 0.018 0.018 0.018 emax 0.043 0.043 0.043 imean 16.538 16.538 16.538 imin 15.943 15.943 15.943 imax 17.194 17.193 17.194 excite_mean 0.286 0.286 0.286 fracstop 1.000 1.000 1.000 cjmean 2.976 2.976 2.976 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 176.4 176.6 176.4 kozaiamp 179.9 179.9 180.0