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: 22FR6
# Created Sun Nov 24 02:11:10 2024
# Orbit generated from Bernstein formalism
# Fitting 13 observations of 13
# Arc: 2.07y
# First observation: 2020/03/01
# Last observation: 2022/03/28
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.020482 -0.000001 -0.002526 0.022737 0.000000
# Chi-squared of fit: 52.94 DOF: 20 RMS: 0.36
# Min/Max residuals: -0.73 0.78
# Exact a, adot, b, bdot, g, gdot:
1.058057E-05 2.027941E-02 -4.111604E-06 -2.507637E-03 2.230890E-02 -1.050141E-03
# Covariance matrix:
3.7695E-13 2.3811E-12 1.4767E-14 -1.7692E-13 7.6779E-12 3.3905E-11
2.3811E-12 9.4984E-11 6.3725E-13 -7.5507E-12 2.5688E-10 1.4452E-09
1.4767E-14 6.3725E-13 2.7445E-13 -1.9258E-13 1.6794E-12 9.9549E-12
-1.7692E-13 -7.5507E-12 -1.9258E-13 7.4023E-13 -1.9941E-11 -1.1773E-10
7.6779E-12 2.5688E-10 1.6794E-12 -1.9941E-11 7.1374E-10 3.8176E-09
3.3905E-11 1.4452E-09 9.9549E-12 -1.1773E-10 3.8176E-09 2.2530E-08
# lat0 lon0 xBary yBary zBary JD0
0.287332 -160.240578 0.631361 0.003870 -0.772123 2458909.707081
# Heliocentric elements and errors
Epoch: 2458900.5000 = 2020/02/21
Mean Anomaly: 251.78855 +/- 4.538
Argument of Peri: 293.65216 +/- 4.061
Long of Asc Node: 21.25610 +/- 0.000
Inclination: 7.06020 +/- 0.002
Eccentricity: 0.07362403 +/- 0.0056
Semi-Major Axis: 44.37145996 +/- 0.1948
Time of Perihelion: 2491351.2499 +/- 1344.0
Perihelion: 41.10465420 +/- 0.3070
Aphelion: 47.63826573 +/- 0.3247
Period (y) 295.5723 +/- 1.95
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -43.12099907 +/- 0.0505
Ecliptic Y -14.82851605 +/- 0.0181
Ecliptic Z 0.22457321 +/- 0.0003
Ecliptic XDOT 0.00096945 +/- 0.0000
Ecliptic YDOT -0.00229664 +/- 0.0000
Ecliptic ZDOT -0.00030862 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.59995485 +/- 0.0481
Geocenter to KBO 44.82515835 +/- 0.0537
# Hcoef: 7.44
The following table shows the complete astrometric record for 22FR6. 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 (22FR6) followed by the observatory code and reference code for the source of the astrometry.
2020 03 01.20628 13 13 24.16 -07 27 44.4 22FR6 W93 C~5Y3b 2020 03 01.24589 13 13 23.95 -07 27 43.7 23.5R 22FR6 W93 C~5Y3b 2020 03 01.28328 13 13 23.80 -07 27 43.6 23.2R 22FR6 W93 C~5Y3b 2020 03 03.19854 13 13 17.74 -07 27 08.2 22FR6 W93 C~5Y3b 2020 03 03.27422 13 13 17.50 -07 27 06.9 22FR6 W93 C~5Y3b 2021 03 22.18242 13 16 17.46 -07 55 02.5 22FR6 W93 C~5Y3b 2021 03 22.20353 13 16 17.36 -07 55 01.6 23.5R 22FR6 W93 C~5Y3b 2022 03 26.14496 13 20 12.02 -08 27 58.2 23.6R 22FR6 W93 C~5Y3b 2022 03 26.18023 13 20 11.80 -08 27 57.3 24.3R 22FR6 W93 C~5Y3b 2022 03 26.21168 13 20 11.73 -08 27 56.8 23.7R 22FR6 W93 C~5Y3b 2022 03 28.14190 13 20 03.81 -08 27 12.7 22FR6 W93 C~5Y3b 2022 03 28.17563 13 20 03.67 -08 27 11.5 22FR6 W93 C~5Y3b 2022 03 28.21163 13 20 03.49 -08 27 10.6 23.9R 22FR6 W93 C~5Y3b
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 0.78 0.00 0.48
2 0.0001 -3.16 -0.36 -0.53 0.01
3 0.0002 -5.26 -0.56 -1.28 -0.68
4 0.0055 -102.09 0.00 -2.53 0.27
5 0.0057 -105.88 0.19 -2.68 0.25
6 1.0567 3003.69 0.12 -546.79 -0.50
7 1.0568 3001.97 -0.23 -546.51 -0.19
8 2.0669 6975.36 0.32 -1073.25 0.25
9 2.0670 6971.99 -0.73 -1073.64 -0.07
10 2.0671 6970.84 0.18 -1073.56 0.06
11 2.0724 6845.22 0.33 -1076.57 -0.19
12 2.0725 6842.85 0.19 -1076.23 0.21
13 2.0726 6840.03 -0.23 -1076.40 0.11
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.
22FR6 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.094 44.599 43.621 ecceobj 0.073 0.085 0.064 incobj 7.078 7.085 7.071 qmin 40.560 40.465 40.450 qmax 48.425 49.484 47.442 amean 44.352 44.866 43.872 amin 44.000 44.507 43.535 amax 44.720 45.250 44.231 emean 0.068 0.081 0.058 emin 0.054 0.067 0.042 emax 0.083 0.095 0.073 imean 6.636 6.682 6.558 imin 6.046 6.133 5.871 imax 7.216 7.229 7.197 excite_mean 0.134 0.142 0.128 fracstop 1.000 1.000 1.000 cjmean 3.084 3.088 3.080 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 177.4 179.5 182.0 kozaiamp 180.0 180.0 180.0