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: 20FQ38
# Created Mon Apr 28 01:11:20 2025
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 1.05y
# First observation: 2020/03/24
# Last observation: 2021/04/13
Preliminary a, adot, b, bdot, g, gdot:
-0.000007 0.011819 -0.000000 0.000374 0.016805 0.000000
# Chi-squared of fit: 4.79 DOF: 18 RMS: 0.11
# Min/Max residuals: -0.23 0.25
# Exact a, adot, b, bdot, g, gdot:
1.099713E-05 1.183076E-02 3.000295E-07 3.737941E-04 1.682551E-02 1.511231E-03
# Covariance matrix:
7.3689E-13 5.8166E-14 -1.4559E-15 2.8090E-14 8.9590E-13 6.8030E-11
5.8166E-14 8.6273E-12 -3.4855E-14 3.4159E-13 3.7528E-12 7.5718E-10
-1.4559E-15 -3.4855E-14 2.7561E-13 -3.1209E-13 -1.6112E-14 -3.2893E-12
2.8090E-14 3.4159E-13 -3.1209E-13 6.4610E-13 1.8038E-13 3.3265E-11
8.9590E-13 3.7528E-12 -1.6112E-14 1.8038E-13 2.9369E-12 4.0922E-10
6.8030E-11 7.5718E-10 -3.2893E-12 3.3265E-11 4.0922E-10 7.4166E-08
# lat0 lon0 xBary yBary zBary JD0
8.753084 -146.843006 0.494835 0.132382 -0.860219 2458932.931491
# Heliocentric elements and errors
Epoch: 2458930.5000 = 2020/03/22
Mean Anomaly: 147.92095 +/- 3.783
Argument of Peri: 277.44537 +/- 3.683
Long of Asc Node: 135.30416 +/- 0.030
Inclination: 8.83700 +/- 0.001
Eccentricity: 0.25622602 +/- 0.0055
Semi-Major Axis: 48.98654433 +/- 0.1728
Time of Perihelion: 2407473.9312 +/- 1287.6
Perihelion: 36.43491705 +/- 0.2999
Aphelion: 61.53817162 +/- 0.3472
Period (y) 342.8652 +/- 1.81
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -50.17123978 +/- 0.0050
Ecliptic Y -32.19725760 +/- 0.0032
Ecliptic Z 9.04443917 +/- 0.0009
Ecliptic XDOT 0.00086539 +/- 0.0000
Ecliptic YDOT -0.00173673 +/- 0.0000
Ecliptic ZDOT 0.00009731 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 60.29609090 +/- 0.0045
Geocenter to KBO 59.43357729 +/- 0.0061
# Hcoef: 7.22
The following table shows the complete astrometric record for 20FQ38. 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 (20FQ38) followed by the observatory code and reference code for the source of the astrometry.
2020 03 24.43069 14 15 41.548 -04 19 28.20 24.8r 20FQ38 568 C~5Jza 2020 03 24.60765 14 15 41.051 -04 19 24.69 25.0r 20FQ38 568 C~5Jza 2020 05 27.22438 14 12 21.791 -04 01 44.55 25.0r 20FQ38 G37 C~5Jza 2020 05 27.23004 14 12 21.757 -04 01 44.58 20FQ38 G37 C~5Jza 2020 05 27.28166 14 12 21.601 -04 01 43.87 20FQ38 G37 C~5Jza 2020 05 27.28783 14 12 21.601 -04 01 43.98 24.8r 20FQ38 G37 C~5Jza 2020 05 27.29944 14 12 21.545 -04 01 43.79 25.0r 20FQ38 G37 C~5Jza 2021 03 17.23303 14 18 36.061 -04 34 10.04 25.1r 20FQ38 304 C~5Jza 2021 03 17.36752 14 18 35.737 -04 34 07.43 25.0r 20FQ38 304 C~5Jza 2021 03 18.34982 14 18 33.318 -04 33 48.67 24.7r 20FQ38 304 C~5Jza 2021 04 12.24090 14 17 21.487 -04 25 45.69 25.1r 20FQ38 304 C~5Jza 2021 04 13.20222 14 17 18.388 -04 25 27.42 25.0r 20FQ38 304 C~5Jza
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 0.03 0.00 0.01
2 0.0005 -8.18 -0.02 0.83 0.04
3 0.1747 -3172.29 0.25 2.88 0.08
4 0.1747 -3172.76 0.03 2.68 -0.09
5 0.1748 -3175.20 -0.18 2.57 0.05
6 0.1748 -3175.16 0.13 2.47 -0.03
7 0.1749 -3176.01 -0.23 2.36 -0.07
8 0.9796 2754.66 0.04 39.02 -0.14
9 0.9800 2749.22 0.13 39.87 -0.03
10 0.9827 2708.86 -0.19 45.51 0.03
11 1.0508 1535.03 0.08 142.94 0.15
12 1.0534 1485.24 -0.06 144.71 -0.02
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.
20FQ38 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 48.679 49.311 48.295 ecceobj 0.265 0.282 0.256 incobj 8.836 8.838 8.834 qmin 35.179 34.927 35.230 qmax 63.741 64.969 62.624 amean 49.098 49.502 48.635 amin 48.590 48.597 48.064 amax 49.732 50.298 49.224 emean 0.266 0.277 0.257 emin 0.249 0.260 0.241 emax 0.282 0.295 0.273 imean 8.097 8.022 8.163 imin 7.215 7.234 7.175 imax 8.986 8.946 9.150 excite_mean 0.301 0.310 0.293 fracstop 1.000 1.000 1.000 cjmean 3.051 3.048 3.051 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 184.5 183.3 179.6 kozaiamp 180.0 180.0 179.9