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: 22FK12 # Created Fri Nov 22 02:11:12 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 31 observations of 31 # Arc: 8.95y # First observation: 2013/04/16 # Last observation: 2022/03/28 # Chi-squared of fit: 38.18 DOF: 56 RMS: 0.20 # Min/Max residuals: -0.41 0.49 # Exact a, adot, b, bdot, g, gdot: 1.498357E-05 1.851572E-02 5.559954E-06 8.132168E-03 2.182209E-02 -3.006598E-04 # Covariance matrix: 2.4044E-13 -1.2419E-13 5.7596E-14 -4.5465E-14 -5.6678E-14 -5.7084E-13 -1.2419E-13 8.8570E-14 -4.4375E-14 3.5064E-14 2.3365E-14 4.4021E-13 5.7596E-14 -4.4375E-14 1.2681E-13 -3.6870E-14 -2.6375E-14 -2.3879E-13 -4.5465E-14 3.5064E-14 -3.6870E-14 2.0739E-14 1.9813E-14 1.8847E-13 -5.6678E-14 2.3365E-14 -2.6375E-14 1.9813E-14 5.9023E-13 2.4987E-13 -5.7084E-13 4.4021E-13 -2.3879E-13 1.8847E-13 2.4987E-13 2.3663E-12 # lat0 lon0 xBary yBary zBary JD0 -4.447053 -168.216992 -0.248694 -0.075451 -0.971057 2456398.509047 # Heliocentric elements and errors Epoch: 2456398.5000 = 2013/04/16 Mean Anomaly: 338.31411 +/- 0.251 Argument of Peri: 11.78876 +/- 0.260 Long of Asc Node: 201.87132 +/- 0.000 Inclination: 24.13406 +/- 0.000 Eccentricity: 0.01858696 +/- 0.0001 Semi-Major Axis: 47.61584345 +/- 0.0068 Time of Perihelion: 2463627.8702 +/- 87.0 Perihelion: 46.73080972 +/- 0.0083 Aphelion: 48.50087718 +/- 0.0085 Period (y) 328.5757 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -45.62636473 +/- 0.0016 Ecliptic Y -9.77006272 +/- 0.0003 Ecliptic Z -3.55293893 +/- 0.0001 Ecliptic XDOT 0.00042744 +/- 0.0000 Ecliptic YDOT -0.00228226 +/- 0.0000 Ecliptic ZDOT 0.00102028 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.79575939 +/- 0.0015 Geocenter to KBO 45.82515840 +/- 0.0016 # Hcoef: 7.30
The following table shows the complete astrometric record for 22FK12. 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 (22FK12) followed by the observatory code and reference code for the source of the astrometry.
2013 04 16.008269 12 36 18.80 -08 45 00.0 22FK12 W84 C~5i5Y 2013 04 16.012370 12 36 18.81 -08 45 00.2 22FK12 W84 C~5i5Y 2013 04 16.016480 12 36 18.79 -08 45 00.0 22FK12 W84 C~5i5Y 2013 04 16.020585 12 36 18.77 -08 44 59.8 22FK12 W84 C~5i5Y 2014 03 26.13732 12 42 24.81 -08 54 59.5 24.4V 22FK12 W84 C~5i5Y 2014 03 26.20528 12 42 24.54 -08 54 57.5 22FK12 W84 C~5i5Y 2014 03 26.27392 12 42 24.25 -08 54 55.4 22FK12 W84 C~5i5Y 2015 04 18.095262 12 45 36.03 -08 42 32.5 23.9V 22FK12 W84 C~5i5Y 2015 04 18.098448 12 45 36.02 -08 42 32.5 22FK12 W84 C~5i5Y 2015 04 18.101625 12 45 36.01 -08 42 32.4 22FK12 W84 C~5i5Y 2015 04 18.104800 12 45 35.98 -08 42 32.2 22FK12 W84 C~5i5Y 2015 04 18.108002 12 45 35.96 -08 42 32.1 22FK12 W84 C~5i5Y 2015 04 21.086835 12 45 24.51 -08 41 01.5 22FK12 W84 C~5i5Y 2015 04 21.089994 12 45 24.51 -08 41 01.5 22FK12 W84 C~5i5Y 2015 04 21.093187 12 45 24.52 -08 41 01.3 22FK12 W84 C~5i5Y 2015 04 21.096359 12 45 24.50 -08 41 01.1 22FK12 W84 C~5i5Y 2015 04 21.099530 12 45 24.48 -08 41 01.2 22FK12 W84 C~5i5Y 2015 04 22.086126 12 45 20.77 -08 40 31.6 22FK12 W84 C~5i5Y 2015 04 22.089307 12 45 20.75 -08 40 31.5 22FK12 W84 C~5i5Y 2015 04 22.092510 12 45 20.73 -08 40 31.4 22FK12 W84 C~5i5Y 2015 04 22.098849 12 45 20.70 -08 40 31.1 22FK12 W84 C~5i5Y 2016 03 03.397212 12 53 11.92 -09 02 40.1 23.4i 22FK12 W84 C~5i5Y 2016 03 03.398231 12 53 11.89 -09 02 39.4 22FK12 W84 C~5i5Y 2017 04 01.234144 12 56 06.33 -08 48 22.4 24.3g 22FK12 W84 C~5i5Y 2017 07 18.051869 12 52 36.32 -08 13 34.8 22FK12 W84 C~5i5Y 2019 02 25.356099 13 07 37.04 -09 00 10.9 22FK12 W84 C~5i5Y 2022 03 26.14347 13 20 01.71 -08 41 08.7 22FK12 W93 C~5aiY 2022 03 26.18023 13 20 01.58 -08 41 07.4 22FK12 W93 C~5aiY 2022 03 28.14190 13 19 53.95 -08 40 12.5 23.4R 22FK12 W93 C~5aiY 2022 03 28.17563 13 19 53.84 -08 40 11.0 23.9R 22FK12 W93 C~5aiZ 2022 03 28.21163 13 19 53.64 -08 40 10.0 23.7R 22FK12 W93 C~5aiZ
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 -0.27 0.00 0.19
2 0.0000 0.00 0.12 0.00 -0.14
3 0.0000 0.00 0.06 0.00 -0.06
4 0.0000 0.00 -0.00 0.00 0.01
5 0.9422 0.00 0.01 0.00 -0.07
6 0.9424 0.00 0.12 0.00 -0.07
7 0.9425 0.00 -0.03 0.00 0.01
8 2.0043 0.00 0.10 0.00 0.17
9 2.0044 0.00 0.14 0.00 0.07
10 2.0044 0.00 0.17 0.00 0.07
11 2.0044 0.00 -0.09 0.00 0.18
12 2.0044 0.00 -0.20 0.00 0.18
13 2.0125 0.00 -0.41 0.00 0.11
14 2.0125 0.00 -0.23 0.00 0.01
15 2.0126 0.00 0.11 0.00 0.12
16 2.0126 0.00 -0.01 0.00 0.22
17 2.0126 0.00 -0.12 0.00 0.02
18 2.0153 0.00 0.27 0.00 -0.26
19 2.0153 0.00 0.16 0.00 -0.26
20 2.0153 0.00 0.04 0.00 -0.25
21 2.0153 0.00 -0.04 0.00 -0.14
22 2.8813 0.00 0.22 0.00 -0.26
23 2.8813 0.00 -0.18 0.00 0.41
24 3.9596 0.00 0.30 0.00 0.16
25 4.2547 0.00 -0.18 0.00 -0.32
26 5.8627 0.00 -0.25 0.00 -0.20
27 8.9422 0.00 -0.17 0.00 -0.14
28 8.9423 0.00 0.04 0.00 0.13
29 8.9477 0.00 0.12 0.00 -0.31
30 8.9478 0.00 0.49 0.00 0.23
31 8.9479 0.00 -0.36 0.00 0.21
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.
22FK12 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 47.408 47.408 47.408 ecceobj 0.015 0.015 0.015 incobj 24.183 24.183 24.183 qmin 45.540 45.545 45.534 qmax 50.083 50.082 50.084 amean 47.674 47.674 47.674 amin 47.277 47.277 47.278 amax 48.092 48.092 48.093 emean 0.022 0.022 0.022 emin 0.007 0.007 0.007 emax 0.042 0.042 0.042 imean 24.349 24.349 24.349 imin 24.122 24.122 24.121 imax 24.555 24.556 24.555 excite_mean 0.413 0.413 0.413 fracstop 1.000 1.000 1.000 cjmean 2.923 2.923 2.923 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 165.8 165.8 165.8 kozaiamp 179.9 179.9 179.9