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: 22FG12
# Created Sun Dec 22 02:11:20 2024
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# Arc: 3.23y
# First observation: 2020/01/30
# Last observation: 2023/04/24
Preliminary a, adot, b, bdot, g, gdot:
-0.000030 0.024770 -0.000022 0.009586 0.026298 0.000000
# Chi-squared of fit: 29.00 DOF: 24 RMS: 0.25
# Min/Max residuals: -0.58 0.46
# Exact a, adot, b, bdot, g, gdot:
1.556872E-05 2.403985E-02 4.523989E-06 9.327959E-03 2.542857E-02 -2.949881E-03
# Covariance matrix:
2.8767E-13 -2.1077E-13 8.8340E-15 -4.9845E-14 -7.1268E-14 -1.7655E-12
-2.1077E-13 2.1639E-12 -9.6219E-14 5.1956E-13 3.9544E-12 1.9154E-11
8.8340E-15 -9.6219E-14 2.7827E-13 -1.3482E-13 -1.2774E-13 -1.1838E-12
-4.9845E-14 5.1956E-13 -1.3482E-13 2.4109E-13 6.6038E-13 6.5635E-12
-7.1268E-14 3.9544E-12 -1.2774E-13 6.6038E-13 9.2536E-12 2.5333E-11
-1.7655E-12 1.9154E-11 -1.1838E-12 6.5635E-12 2.5333E-11 2.3621E-10
# lat0 lon0 xBary yBary zBary JD0
0.156960 -160.625443 0.932533 0.000958 -0.341997 2458878.829001
# Heliocentric elements and errors
Epoch: 2458870.5000 = 2020/01/22
Mean Anomaly: 297.11356 +/- 0.079
Argument of Peri: 79.32883 +/- 0.098
Long of Asc Node: 197.64047 +/- 0.000
Inclination: 21.26500 +/- 0.001
Eccentricity: 0.14619209 +/- 0.0006
Semi-Major Axis: 41.68490834 +/- 0.0205
Time of Perihelion: 2476042.5118 +/- 17.4
Perihelion: 35.59090460 +/- 0.0318
Aphelion: 47.77891207 +/- 0.0354
Period (y) 269.1389 +/- 0.20
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -37.72643245 +/- 0.0044
Ecliptic Y -12.28768141 +/- 0.0016
Ecliptic Z 0.10785908 +/- 0.0000
Ecliptic XDOT 0.00116915 +/- 0.0000
Ecliptic YDOT -0.00233320 +/- 0.0000
Ecliptic ZDOT 0.00100322 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 39.67722840 +/- 0.0042
Geocenter to KBO 39.32584677 +/- 0.0047
# Hcoef: 8.16
The following table shows the complete astrometric record for 22FG12. 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 (22FG12) followed by the observatory code and reference code for the source of the astrometry.
2020 01 30.32820 13 11 45.99 -07 26 15.2 24.3R 22FG12 W93 C~5aiY 2020 01 30.35785 13 11 45.95 -07 26 15.0 24.4R 22FG12 W93 C~5aiY 2020 02 01.30091 13 11 43.94 -07 25 51.9 23.6R 22FG12 W93 C~5aiY 2020 02 01.33465 13 11 43.89 -07 25 50.7 23.7R 22FG12 W93 C~5aiY 2020 02 01.36539 13 11 43.88 -07 25 50.3 23.4R 22FG12 W93 C~5aiY 2022 03 26.14496 13 21 05.50 -07 06 13.1 24.0R 22FG12 W93 C~5aiY 2022 03 26.18023 13 21 05.38 -07 06 12.3 23.8R 22FG12 W93 C~5aiY 2022 03 26.21168 13 21 05.20 -07 06 11.0 23.8R 22FG12 W93 C~5aiY 2022 03 28.14190 13 20 56.48 -07 05 05.9 23.9R 22FG12 W93 C~5aiY 2022 03 28.17563 13 20 56.37 -07 05 05.1 23.6R 22FG12 W93 C~5aiY 2022 03 28.21163 13 20 56.19 -07 05 04.2 24.1R 22FG12 W93 C~5aiY 2023 03 28.18352 13 27 05.62 -07 06 06.1 23.4R 22FG12 W93 C~7xZN 2023 03 28.22185 13 27 05.46 -07 06 04.8 23.7R 22FG12 W93 C~7xZN 2023 04 24.192390 13 24 58.662 -06 50 49.52 23.6G 22FG12 G37 C~6hd9 2023 04 24.252030 13 24 58.402 -06 50 47.72 22FG12 G37 C~6hd9
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 -0.13 0.00 0.26
2 0.0001 -0.63 -0.20 -0.04 0.07
3 0.0054 -37.04 0.25 10.03 -0.58
4 0.0055 -38.18 -0.17 10.86 0.08
5 0.0056 -38.47 0.20 11.17 0.24
6 2.1514 7266.14 -0.40 4246.75 -0.03
7 2.1515 7264.18 0.31 4246.82 -0.15
8 2.1516 7261.21 -0.29 4247.02 -0.12
9 2.1569 7116.28 -0.31 4258.86 0.17
10 2.1570 7114.46 0.46 4258.99 0.11
11 2.1571 7111.63 0.39 4258.82 -0.25
12 3.1563 12253.14 -0.11 6254.61 0.15
13 3.1565 12250.44 0.12 6254.93 0.26
14 3.2303 10150.63 -0.25 6402.66 -0.09
15 3.2305 10146.35 0.13 6402.89 -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.
22FG12 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.414 41.462 41.366 ecceobj 0.141 0.142 0.141 incobj 21.337 21.340 21.334 qmin 35.107 35.222 33.877 qmax 48.420 48.464 49.674 amean 41.617 41.696 41.617 amin 41.245 41.366 41.240 amax 42.035 42.069 42.021 emean 0.139 0.135 0.158 emin 0.126 0.118 0.133 emax 0.153 0.153 0.183 imean 21.829 21.895 21.441 imin 21.181 21.213 20.570 imax 22.363 22.491 22.242 excite_mean 0.397 0.397 0.399 fracstop 1.000 1.000 1.000 cjmean 2.885 2.886 2.884 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 184.5 177.8 191.2 kozaiamp 180.0 180.0 180.0