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: 20KA55
# Created Sun Dec 22 02:11:12 2024
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 18
# Arc: 76.97d
# First observation: 2020/05/29
# Last observation: 2020/08/14
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.023792 0.000007 0.000938 0.028520 0.000000
# Chi-squared of fit: 0.38 DOF: 30 RMS: 0.03
# Min/Max residuals: -0.06 0.05
# Exact a, adot, b, bdot, g, gdot:
1.766095E-05 3.395501E-02 5.241548E-07 9.419675E-04 3.025548E-02 7.976132E-04
# Covariance matrix:
2.7630E-13 2.9097E-11 -2.3401E-14 6.7241E-14 6.3810E-12 2.2149E-10
2.9097E-11 1.5177E-07 -1.0352E-10 1.3691E-10 2.7972E-08 3.3568E-07
-2.3401E-14 -1.0352E-10 2.4634E-13 -1.1193E-12 -1.9105E-11 -2.3365E-10
6.7241E-14 1.3691E-10 -1.1193E-12 1.1262E-11 2.5585E-11 3.6836E-10
6.3810E-12 2.7972E-08 -1.9105E-11 2.5585E-11 5.1627E-09 6.3226E-08
2.2149E-10 3.3568E-07 -2.3365E-10 3.6836E-10 6.3226E-08 9.9577E-07
# lat0 lon0 xBary yBary zBary JD0
2.513307 -73.476852 0.630720 0.034411 -0.786892 2458998.947781
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 2.63337 +/- 16.708
Argument of Peri: 53.26950 +/- 19.816
Long of Asc Node: 229.02962 +/- 0.286
Inclination: 2.94437 +/- 0.010
Eccentricity: 0.08777401 +/- 0.0197
Semi-Major Axis: 37.10538594 +/- 0.6649
Time of Perihelion: 2458386.6035 +/- 3831.6
Perihelion: 33.84849753 +/- 0.9509
Aphelion: 40.36227435 +/- 1.0293
Period (y) 226.0287 +/- 6.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 9.01591721 +/- 0.0223
Ecliptic Y -32.59786419 +/- 0.0752
Ecliptic Z 1.44945882 +/- 0.0035
Ecliptic XDOT 0.00297330 +/- 0.0001
Ecliptic YDOT 0.00081186 +/- 0.0001
Ecliptic ZDOT 0.00008809 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 33.85274647 +/- 0.0726
Geocenter to KBO 33.05186211 +/- 0.0785
# Hcoef: 11.38
The following table shows the complete astrometric record for 20KA55. 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 (20KA55) followed by the observatory code and reference code for the source of the astrometry.
2020 05 29.44698 19 10 21.775 -19 55 21.53 26.7r 20KA55 266 C~6c5a 2020 05 29.53371 19 10 21.376 -19 55 21.91 26.7r 20KA55 266 C~6c5a 2020 05 29.61905 19 10 20.983 -19 55 22.26 26.7r 20KA55 266 C~6c5a 2020 05 31.44139 19 10 12.670 -19 55 30.26 26.6r 20KA55 266 C~6c5a 2020 05 31.52961 19 10 12.251 -19 55 30.67 26.6r 20KA55 266 C~6c5a 2020 05 31.61814 19 10 11.830 -19 55 31.07 26.6r 20KA55 266 C~6c5a 2020 06 21.45390 19 08 21.004 -19 57 43.19 26.6r 20KA55 266 C~6c5a 2020 06 21.53376 19 08 20.528 -19 57 43.82 26.6r 20KA55 266 C~6c5a 2020 06 21.61261 19 08 20.059 -19 57 44.41 26.6r 20KA55 266 C~6c5a 2020 06 24.43648 19 08 03.422 -19 58 07.19 26.5r 20KA55 266 C~6c5a 2020 06 24.52739 19 08 02.871 -19 58 07.93 26.5r 20KA55 266 C~6c5a 2020 06 24.61708 19 08 02.330 -19 58 08.64 26.5r 20KA55 266 C~6c5a 2020 08 12.26680 19 03 22.017 -20 05 52.90 26.7r 20KA55 266 C~6c5a 2020 08 12.34843 19 03 21.622 -20 05 53.67 26.7r 20KA55 266 C~6c5a 2020 08 12.42950 19 03 21.232 -20 05 54.42 26.7r 20KA55 266 C~6c5a 2020 08 14.24286 19 03 12.840 -20 06 11.36 26.6r 20KA55 266 C~6c5a 2020 08 14.33285 19 03 12.419 -20 06 12.21 26.6r 20KA55 266 C~6c5a 2020 08 14.42134 19 03 12.007 -20 06 13.02 26.6r 20KA55 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 0.02 0.00 -0.01
2 0.0002 -5.63 0.01 0.30 -0.01
3 0.0005 -11.18 0.01 0.62 -0.00
4 0.0055 -128.52 -0.02 6.77 0.02
5 0.0057 -134.43 -0.02 7.07 0.03
6 0.0059 -140.38 -0.01 7.39 0.03
7 0.0630 -1707.74 -0.00 61.73 -0.00
8 0.0632 -1714.48 -0.00 61.89 -0.01
9 0.0634 -1721.12 -0.01 62.08 0.00
10 0.0712 -1956.75 0.02 66.93 -0.03
11 0.0714 -1964.55 0.01 67.10 -0.03
12 0.0716 -1972.21 0.01 67.29 -0.03
13 0.2048 -5951.23 -0.05 54.11 -0.02
14 0.2051 -5956.85 -0.06 53.96 -0.01
15 0.2053 -5962.40 -0.05 53.82 -0.02
16 0.2103 -6081.86 0.05 49.96 0.03
17 0.2105 -6087.85 0.04 49.77 0.03
18 0.2107 -6093.71 0.05 49.60 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.
20KA55 quality flag:1 Type: REMOVED REMOVED REMOVED axisobj 36.613 40.468 33.973 ecceobj 0.077 0.190 0.065 incobj 2.959 2.924 2.999 qmin 30.497 30.698 30.797 qmax 63.051 57.092 51.836 amean 37.965 40.650 37.342 amin 34.423 33.499 32.659 amax 47.458 44.732 41.714 emean 0.114 0.209 0.148 emin 0.024 0.062 0.022 emax 0.329 0.279 0.243 imean 2.688 3.356 3.229 imin 0.450 1.242 1.395 imax 4.390 4.890 4.575 excite_mean 0.127 0.218 0.161 fracstop 0.850 0.157 0.104 cjmean 3.017 3.008 3.003 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 176.3 174.6 175.2 kozaiamp 180.0 180.0 179.6