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: 20KZ55
# Created Fri Nov 22 02:11:05 2024
# Orbit generated from Bernstein formalism
# Fitting 24 observations of 24
# Arc: 76.97d
# First observation: 2020/05/29
# Last observation: 2020/08/14
Preliminary a, adot, b, bdot, g, gdot:
0.000004 0.020246 0.000005 0.008617 0.026137 0.000000
# Chi-squared of fit: 2.50 DOF: 42 RMS: 0.06
# Min/Max residuals: -0.17 0.08
# Exact a, adot, b, bdot, g, gdot:
1.663591E-05 2.835397E-02 5.740508E-06 8.599203E-03 2.751637E-02 1.915181E-03
# Covariance matrix:
1.4445E-13 1.1674E-11 -9.8978E-15 2.2720E-13 2.7492E-12 1.3045E-10
1.1674E-11 1.1319E-07 -5.8589E-11 3.9064E-10 2.0921E-08 2.8475E-07
-9.8978E-15 -5.8589E-11 1.3543E-13 -8.4128E-13 -1.0874E-11 -1.5658E-10
2.2720E-13 3.9064E-10 -8.4128E-13 1.1076E-11 7.4506E-11 1.4625E-09
2.7492E-12 2.0921E-08 -1.0874E-11 7.4506E-11 3.8731E-09 5.3873E-08
1.3045E-10 2.8475E-07 -1.5658E-10 1.4625E-09 5.3873E-08 9.7478E-07
# lat0 lon0 xBary yBary zBary JD0
2.414573 -72.967472 0.637698 0.032818 -0.781317 2458998.947781
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 22.19397 +/- 9.887
Argument of Peri: 340.32342 +/- 13.000
Long of Asc Node: 278.29808 +/- 0.094
Inclination: 17.00648 +/- 0.190
Eccentricity: 0.11187234 +/- 0.0314
Semi-Major Axis: 41.32990747 +/- 0.8526
Time of Perihelion: 2453007.3810 +/- 2658.8
Perihelion: 36.70623412 +/- 1.5016
Aphelion: 45.95358081 +/- 1.6063
Period (y) 265.7081 +/- 8.22
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 10.26058908 +/- 0.0241
Ecliptic Y -35.65848814 +/- 0.0785
Ecliptic Z 1.53135969 +/- 0.0035
Ecliptic XDOT 0.00275077 +/- 0.0001
Ecliptic YDOT 0.00068234 +/- 0.0001
Ecliptic ZDOT 0.00086265 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.13694289 +/- 0.0757
Geocenter to KBO 36.34200628 +/- 0.0822
# Hcoef: 8.75
The following table shows the complete astrometric record for 20KZ55. 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 (20KZ55) followed by the observatory code and reference code for the source of the astrometry.
2020 05 29.44698 19 12 33.809 -19 57 30.53 24.2r 20KZ55 266 C~7ulo 2020 05 29.53371 19 12 33.438 -19 57 30.54 24.2r 20KZ55 266 C~7ulo 2020 05 29.61905 19 12 33.072 -19 57 30.52 24.2r 20KZ55 266 C~7ulo 2020 05 30.43935 19 12 29.632 -19 57 30.26 24.3r 20KZ55 266 C~6c5c 2020 05 30.53044 19 12 29.236 -19 57 30.28 24.3r 20KZ55 266 C~6c5c 2020 05 30.61862 19 12 28.851 -19 57 30.28 24.3r 20KZ55 266 C~6c5c 2020 05 31.44139 19 12 25.334 -19 57 30.37 24.4r 20KZ55 266 C~6c5c 2020 05 31.52961 19 12 24.944 -19 57 30.41 24.4r 20KZ55 266 C~6c5c 2020 05 31.61814 19 12 24.552 -19 57 30.42 24.4r 20KZ55 266 C~6c5c 2020 06 01.43269 19 12 21.016 -19 57 30.70 24.4r 20KZ55 266 C~6c5c 2020 06 01.47325 19 12 20.834 -19 57 30.73 24.4r 20KZ55 266 C~6c5c 2020 06 01.60571 19 12 20.238 -19 57 30.78 24.4r 20KZ55 266 C~6c5c 2020 06 21.45390 19 10 41.502 -19 58 08.55 24.4r 20KZ55 266 C~6c5c 2020 06 21.53376 19 10 41.060 -19 58 08.80 24.4r 20KZ55 266 C~6c5c 2020 06 21.61261 19 10 40.625 -19 58 09.03 24.4r 20KZ55 266 C~6c5c 2020 06 24.43648 19 10 25.164 -19 58 18.68 24.3r 20KZ55 266 C~6c5c 2020 06 24.51899 19 10 24.700 -19 58 18.97 24.3r 20KZ55 266 C~6c5c 2020 06 24.61428 19 10 24.165 -19 58 19.29 24.3r 20KZ55 266 C~6c5c 2020 08 12.26680 19 06 02.168 -20 02 11.28 24.4r 20KZ55 266 C~6c5c 2020 08 12.34843 19 06 01.795 -20 02 11.67 24.4r 20KZ55 266 C~6c5c 2020 08 12.42950 19 06 01.426 -20 02 12.03 24.4r 20KZ55 266 C~6c5c 2020 08 14.24286 19 05 53.468 -20 02 20.46 24.7r 20KZ55 266 C~6c5c 2020 08 14.33285 19 05 53.069 -20 02 20.88 24.7r 20KZ55 266 C~6c5c 2020 08 14.42134 19 05 52.678 -20 02 21.27 24.7r 20KZ55 266 C~6c5c
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 -0.07 0.00 -0.16
2 0.0002 -5.19 -0.07 0.64 -0.17
3 0.0005 -10.31 -0.07 1.30 -0.17
4 0.0027 -58.40 0.04 7.57 0.05
5 0.0030 -63.95 0.04 8.24 0.06
6 0.0032 -69.33 0.03 8.91 0.05
7 0.0055 -118.55 0.02 14.96 0.08
8 0.0057 -124.01 0.02 15.60 0.08
9 0.0059 -129.50 0.02 16.27 0.08
10 0.0082 -179.00 0.03 22.16 0.05
11 0.0083 -181.55 0.02 22.45 0.05
12 0.0086 -189.90 0.02 23.44 0.05
13 0.0630 -1576.13 -0.02 156.35 0.02
14 0.0632 -1582.34 -0.02 156.86 0.02
15 0.0634 -1588.46 -0.02 157.38 0.03
16 0.0712 -1806.01 0.01 174.17 -0.04
17 0.0714 -1812.54 0.01 174.67 -0.04
18 0.0716 -1820.06 0.01 175.26 -0.05
19 0.2048 -5515.85 0.02 378.98 0.01
20 0.2051 -5521.12 0.02 379.19 0.01
21 0.2053 -5526.33 0.03 379.43 0.01
22 0.2103 -5638.79 -0.02 383.86 -0.01
23 0.2105 -5644.43 -0.03 384.09 -0.01
24 0.2107 -5649.95 -0.02 384.33 -0.00
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.
20KZ55 quality flag:1 Type: SCATEXTD SCATNEAR SCATEXTD axisobj 40.776 45.119 37.879 ecceobj 0.101 0.221 0.029 incobj 17.084 16.454 17.773 qmin 35.787 34.114 36.339 qmax 46.560 57.580 39.928 amean 41.013 45.493 38.073 amin 40.681 45.041 37.790 amax 41.355 46.062 38.357 emean 0.107 0.226 0.027 emin 0.090 0.203 0.013 emax 0.126 0.250 0.042 imean 18.637 18.013 19.311 imin 17.839 16.966 17.655 imax 19.416 18.869 21.131 excite_mean 0.337 0.383 0.332 fracstop 1.000 1.000 1.000 cjmean 2.933 2.938 2.913 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 174.2 172.4 178.3 kozaiamp 179.9 180.0 179.8