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: 20KA56
# Created Tue May 7 01:17:47 2024
# Orbit generated from Bernstein formalism
# Fitting 24 observations of 24
# Arc: 78.97d
# First observation: 2020/05/28
# Last observation: 2020/08/15
Preliminary a, adot, b, bdot, g, gdot:
0.000005 0.018776 0.000004 -0.001982 0.025232 0.000000
# Chi-squared of fit: 0.74 DOF: 42 RMS: 0.03
# Min/Max residuals: -0.08 0.05
# Exact a, adot, b, bdot, g, gdot:
1.581258E-05 2.676754E-02 -1.163171E-06 -1.987416E-03 2.660333E-02 5.655987E-03
# Covariance matrix:
1.9736E-13 9.1610E-13 -1.0947E-15 -5.5249E-14 9.3478E-13 1.3224E-10
9.1610E-13 1.4267E-07 -7.5838E-11 -2.9825E-10 2.6901E-08 4.5541E-07
-1.0947E-15 -7.5838E-11 1.6213E-13 -5.9380E-13 -1.4302E-11 -2.4244E-10
-5.5249E-14 -2.9825E-10 -5.9380E-13 9.9589E-12 -5.6664E-11 -1.0391E-09
9.3478E-13 2.6901E-08 -1.4302E-11 -5.6664E-11 5.0775E-09 8.6916E-08
1.3224E-10 4.5541E-07 -2.4244E-10 -1.0391E-09 8.6916E-08 1.6671E-06
# lat0 lon0 xBary yBary zBary JD0
1.867216 -71.964441 0.664131 0.024623 -0.759230 2458997.947541
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 67.38238 +/- 8.297
Argument of Peri: 67.06998 +/- 5.926
Long of Asc Node: 130.63080 +/- 0.312
Inclination: 4.56503 +/- 0.057
Eccentricity: 0.19239467 +/- 0.0491
Semi-Major Axis: 39.93332289 +/- 1.5135
Time of Perihelion: 2441738.2617 +/- 1884.4
Perihelion: 32.25036456 +/- 2.3102
Aphelion: 47.61628122 +/- 2.6646
Period (y) 252.3547 +/- 14.35
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.24100555 +/- 0.0312
Ecliptic Y -36.65811267 +/- 0.0957
Ecliptic Z 1.22480928 +/- 0.0033
Ecliptic XDOT 0.00280970 +/- 0.0001
Ecliptic YDOT 0.00029690 +/- 0.0001
Ecliptic ZDOT -0.00018569 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.36245023 +/- 0.0919
Geocenter to KBO 37.58928039 +/- 0.1007
# Hcoef: 9.19
The following table shows the complete astrometric record for 20KA56. 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 (20KA56) followed by the observatory code and reference code for the source of the astrometry.
2020 05 28.44674 19 17 05.848 -20 22 24.22 25.2r 20KA56 266 C~6c5c 2020 05 28.50129 19 17 05.632 -20 22 24.57 25.2r 20KA56 266 C~6c5c 2020 05 28.55756 19 17 05.408 -20 22 24.93 25.2r 20KA56 266 C~6c5d 2020 05 30.43935 19 16 57.982 -20 22 37.18 24.8r 20KA56 266 C~6c5d 2020 05 30.53044 19 16 57.607 -20 22 37.80 24.8r 20KA56 266 C~6c5d 2020 05 30.61862 19 16 57.244 -20 22 38.38 24.8r 20KA56 266 C~6c5d 2020 06 01.43269 19 16 49.836 -20 22 50.76 25.1r 20KA56 266 C~6c5d 2020 06 01.47325 19 16 49.664 -20 22 51.05 25.1r 20KA56 266 C~6c5d 2020 06 01.60571 19 16 49.100 -20 22 51.98 25.1r 20KA56 266 C~6c5d 2020 06 20.45583 19 15 20.215 -20 25 30.06 25.1r 20KA56 266 C~6c5d 2020 06 20.52860 19 15 19.832 -20 25 30.75 25.1r 20KA56 266 C~6c5d 2020 06 20.62233 19 15 19.340 -20 25 31.63 25.1r 20KA56 266 C~6c5d 2020 06 22.44948 19 15 09.846 -20 25 49.22 24.9r 20KA56 266 C~6c5d 2020 06 22.52092 19 15 09.465 -20 25 49.92 24.9r 20KA56 266 C~6c5d 2020 06 22.59118 19 15 09.091 -20 25 50.59 24.9r 20KA56 266 C~6c5d 2020 06 25.44823 19 14 54.013 -20 26 18.97 24.8r 20KA56 266 C~6c5d 2020 06 25.53213 19 14 53.558 -20 26 19.81 24.8r 20KA56 266 C~6c5d 2020 06 25.61487 19 14 53.111 -20 26 20.61 24.8r 20KA56 266 C~6c5d 2020 08 13.26741 19 10 40.390 -20 35 06.71 24.9r 20KA56 266 C~6c5d 2020 08 13.34590 19 10 40.044 -20 35 07.52 24.9r 20KA56 266 C~6c5d 2020 08 13.42301 19 10 39.705 -20 35 08.29 24.9r 20KA56 266 C~6c5d 2020 08 15.24331 19 10 32.003 -20 35 26.65 24.9r 20KA56 266 C~6c5d 2020 08 15.33985 19 10 31.591 -20 35 27.63 24.9r 20KA56 266 C~6c5d 2020 08 15.42111 19 10 31.244 -20 35 28.44 24.9r 20KA56 266 C~6c5d
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 0.02 0.00 -0.00
2 0.0001 -3.06 0.02 0.05 0.00
3 0.0003 -6.23 0.02 0.11 0.00
4 0.0055 -111.35 -0.03 1.67 -0.01
5 0.0057 -116.66 -0.04 1.75 -0.00
6 0.0059 -121.80 -0.03 1.84 -0.00
7 0.0109 -226.69 0.01 3.22 0.03
8 0.0110 -229.12 0.01 3.25 0.03
9 0.0114 -237.11 0.01 3.37 0.03
10 0.0630 -1496.71 -0.01 8.87 -0.07
11 0.0632 -1502.14 -0.01 8.88 -0.07
12 0.0635 -1509.11 -0.00 8.90 -0.08
13 0.0685 -1643.72 -0.00 8.61 0.03
14 0.0686 -1649.13 0.00 8.61 0.03
15 0.0688 -1654.43 0.00 8.62 0.03
16 0.0767 -1868.27 0.01 7.65 -0.00
17 0.0769 -1874.72 0.01 7.64 -0.00
18 0.0771 -1881.05 0.02 7.65 0.01
19 0.2103 -5470.65 -0.05 -71.10 -0.02
20 0.2105 -5475.57 -0.05 -71.31 -0.03
21 0.2107 -5480.40 -0.05 -71.49 -0.02
22 0.2157 -5590.06 0.04 -76.58 0.03
23 0.2160 -5595.92 0.05 -76.85 0.04
24 0.2162 -5600.86 0.04 -77.06 0.03
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.
20KA56 quality flag:1 Type: 3:2E REMOVED CENTAURR axisobj 39.394 46.244 35.394 ecceobj 0.188 0.324 0.139 incobj 4.572 4.392 4.777 qmin 31.294 30.528 29.722 qmax 48.407 66.370 52.625 amean 39.457 44.703 37.731 amin 38.911 41.091 32.220 amax 40.052 49.029 41.907 emean 0.190 0.300 0.179 emin 0.173 0.238 0.073 emax 0.209 0.356 0.256 imean 3.584 3.127 1.421 imin 2.836 2.172 0.827 imax 4.260 4.670 3.362 excite_mean 0.200 0.305 0.182 fracstop 1.000 0.040 0.009 cjmean 3.006 2.994 2.999 libcent 0 179.2 -180.0 -180.0 libamp 0 125.3 -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 171.7 184.9 90.4 kozaiamp 180.0 178.7 58.1