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: 20KQ54
# Created Tue Apr 1 01:11:19 2025
# Orbit generated from Bernstein formalism
# Fitting 21 observations of 21
# Arc: 76.98d
# First observation: 2020/05/30
# Last observation: 2020/08/15
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.017702 0.000004 -0.000922 0.022991 0.000000
# Chi-squared of fit: 1.18 DOF: 36 RMS: 0.04
# Min/Max residuals: -0.08 0.09
# Exact a, adot, b, bdot, g, gdot:
1.549206E-05 2.359839E-02 -4.011341E-07 -9.182670E-04 2.398984E-02 -2.971779E-05
# Covariance matrix:
2.9019E-13 6.1155E-11 -3.8659E-14 -3.7735E-14 1.2418E-11 3.8913E-10
6.1155E-11 1.8610E-07 -1.1224E-10 -1.4958E-11 3.4612E-08 5.7907E-07
-3.8659E-14 -1.1224E-10 2.1957E-13 -9.3568E-13 -2.0885E-11 -3.5127E-10
-3.7735E-14 -1.4958E-11 -9.3568E-13 1.0871E-11 -3.0237E-12 -1.0109E-10
1.2418E-11 3.4612E-08 -2.0885E-11 -3.0237E-12 6.4443E-09 1.0915E-07
3.8913E-10 5.7907E-07 -3.5127E-10 -1.0109E-10 1.0915E-07 2.1283E-06
# lat0 lon0 xBary yBary zBary JD0
1.902679 -72.247665 0.634498 0.025924 -0.784226 2458999.940151
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 342.64342 +/- 68.550
Argument of Peri: 158.86695 +/- 76.826
Long of Asc Node: 147.22699 +/- 0.576
Inclination: 2.88363 +/- 0.034
Eccentricity: 0.05232363 +/- 0.0116
Semi-Major Axis: 44.70261066 +/- 1.1501
Time of Perihelion: 2464253.8150 +/- 20786.5
Perihelion: 42.36360775 +/- 1.2067
Aphelion: 47.04161357 +/- 1.3164
Period (y) 298.8873 +/- 11.53
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.34327737 +/- 0.0425
Ecliptic Y -40.62513793 +/- 0.1328
Ecliptic Z 1.38405256 +/- 0.0046
Ecliptic XDOT 0.00257308 +/- 0.0001
Ecliptic YDOT 0.00082463 +/- 0.0001
Ecliptic ZDOT -0.00010509 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.48145395 +/- 0.1276
Geocenter to KBO 41.68430693 +/- 0.1395
# Hcoef: 10.21
The following table shows the complete astrometric record for 20KQ54. 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 (20KQ54) followed by the observatory code and reference code for the source of the astrometry.
2020 05 30.43935 19 15 52.812 -20 22 30.50 26.1r 20KQ54 266 C~6c5a 2020 05 30.53044 19 15 52.470 -20 22 31.01 26.1r 20KQ54 266 C~6c5a 2020 05 30.61862 19 15 52.138 -20 22 31.49 26.1r 20KQ54 266 C~6c5a 2020 06 01.43269 19 15 45.381 -20 22 41.64 26.7r 20KQ54 266 C~6c5a 2020 06 01.47325 19 15 45.224 -20 22 41.88 26.7r 20KQ54 266 C~6c5a 2020 06 01.60571 19 15 44.709 -20 22 42.65 26.7r 20KQ54 266 C~6c5a 2020 06 20.45583 19 14 23.873 -20 24 54.85 26.6r 20KQ54 266 C~6c5a 2020 06 20.52860 19 14 23.525 -20 24 55.43 26.6r 20KQ54 266 C~6c5a 2020 06 20.62233 19 14 23.078 -20 24 56.17 26.6r 20KQ54 266 C~6c5a 2020 06 22.44948 19 14 14.463 -20 25 10.98 26.5r 20KQ54 266 C~6c5a 2020 06 22.52092 19 14 14.117 -20 25 11.57 26.5r 20KQ54 266 C~6c5a 2020 06 22.59118 19 14 13.778 -20 25 12.14 26.5r 20KQ54 266 C~6c5a 2020 06 25.44823 19 14 00.092 -20 25 36.23 26.6r 20KQ54 266 C~6c5a 2020 06 25.53213 19 13 59.679 -20 25 36.94 26.6r 20KQ54 266 C~6c5a 2020 06 25.61487 19 13 59.274 -20 25 37.62 26.6r 20KQ54 266 C~6c5a 2020 08 13.24332 19 10 10.228 -20 33 07.01 26.8r 20KQ54 266 C~6c5a 2020 08 13.33331 19 10 09.868 -20 33 07.80 26.8r 20KQ54 266 C~6c5a 2020 08 13.42301 19 10 09.510 -20 33 08.58 26.8r 20KQ54 266 C~6c5a 2020 08 15.24331 19 10 02.513 -20 33 24.24 25.6r 20KQ54 266 C~6c5a 2020 08 15.34125 19 10 02.134 -20 33 25.09 25.6r 20KQ54 266 C~6c5a 2020 08 15.42111 19 10 01.824 -20 33 25.77 25.6r 20KQ54 266 C~6c5a
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 0.01 0.00 -0.04
2 0.0002 -4.83 0.01 0.12 -0.04
3 0.0005 -9.53 -0.00 0.24 -0.04
4 0.0055 -105.05 0.00 2.46 0.03
5 0.0056 -107.27 -0.00 2.51 0.03
6 0.0059 -114.55 -0.01 2.68 0.03
7 0.0575 -1258.65 -0.04 17.23 -0.05
8 0.0577 -1263.58 -0.04 17.27 -0.05
9 0.0580 -1269.91 -0.04 17.34 -0.05
10 0.0630 -1391.92 0.03 18.03 0.09
11 0.0632 -1396.82 0.02 18.06 0.08
12 0.0634 -1401.62 0.03 18.10 0.08
13 0.0712 -1595.52 0.01 18.58 -0.02
14 0.0714 -1601.37 0.01 18.62 -0.02
15 0.0717 -1607.10 0.02 18.66 -0.02
16 0.2048 -4857.16 -0.01 -29.39 -0.08
17 0.2050 -4862.28 -0.01 -29.57 -0.07
18 0.2053 -4867.37 -0.01 -29.74 -0.07
19 0.2103 -4966.87 0.00 -33.43 0.06
20 0.2105 -4972.26 0.02 -33.63 0.07
21 0.2108 -4976.67 0.00 -33.78 0.06
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.
20KQ54 quality flag:1 Type: CLASSICAL SCATNEAR CLASSICAL axisobj 44.131 50.736 41.028 ecceobj 0.044 0.214 0.163 incobj 2.884 2.782 2.998 qmin 41.646 39.362 34.164 qmax 47.221 63.376 48.548 amean 44.356 51.076 41.192 amin 44.010 50.592 40.840 amax 44.712 51.639 41.578 emean 0.043 0.216 0.106 emin 0.027 0.205 0.031 emax 0.056 0.227 0.168 imean 2.489 2.138 6.688 imin 1.900 1.879 1.993 imax 3.073 2.416 10.628 excite_mean 0.061 0.219 0.168 fracstop 1.000 1.000 1.000 cjmean 3.101 3.131 3.035 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 174.8 181.7 132.7 kozaiamp 180.0 179.9 180.0