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: 20KR55
# Created Fri Nov 22 02:11:05 2024
# Orbit generated from Bernstein formalism
# Fitting 21 observations of 21
# Arc: 79.98d
# First observation: 2020/05/26
# Last observation: 2020/08/14
Preliminary a, adot, b, bdot, g, gdot:
0.000005 0.019723 0.000006 0.008567 0.025145 0.000000
# Chi-squared of fit: 1.66 DOF: 36 RMS: 0.05
# Min/Max residuals: -0.10 0.08
# Exact a, adot, b, bdot, g, gdot:
1.549065E-05 2.615083E-02 5.610251E-06 8.541659E-03 2.621875E-02 1.009249E-04
# Covariance matrix:
2.1370E-13 -1.9735E-11 8.7715E-15 1.8714E-13 -2.8884E-12 8.0547E-11
-1.9735E-11 7.5349E-08 -6.3661E-11 3.1463E-10 1.4086E-08 2.1190E-07
8.7715E-15 -6.3661E-11 1.9267E-13 -1.0902E-12 -1.1969E-11 -1.9272E-10
1.8714E-13 3.1463E-10 -1.0902E-12 1.1587E-11 6.1277E-11 1.3881E-09
-2.8884E-12 1.4086E-08 -1.1969E-11 6.1277E-11 2.6396E-09 4.0850E-08
8.0547E-11 2.1190E-07 -1.9272E-10 1.3881E-09 4.0850E-08 8.4889E-07
# lat0 lon0 xBary yBary zBary JD0
2.682833 -73.343867 0.671353 0.035124 -0.752306 2458995.943811
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 352.48384 +/- 19.448
Argument of Peri: 17.47562 +/- 23.405
Long of Asc Node: 277.66840 +/- 0.086
Inclination: 18.26183 +/- 0.180
Eccentricity: 0.09230912 +/- 0.0107
Semi-Major Axis: 42.81843800 +/- 0.6025
Time of Perihelion: 2461127.1730 +/- 5528.6
Perihelion: 38.86590587 +/- 0.7146
Aphelion: 46.77097013 +/- 0.8029
Period (y) 280.1912 +/- 5.91
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 10.49840953 +/- 0.0214
Ecliptic Y -37.42111793 +/- 0.0715
Ecliptic Z 1.78553995 +/- 0.0035
Ecliptic XDOT 0.00261536 +/- 0.0000
Ecliptic YDOT 0.00081613 +/- 0.0001
Ecliptic ZDOT 0.00089123 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.90687372 +/- 0.0690
Geocenter to KBO 38.14064710 +/- 0.0747
# Hcoef: 10.22
The following table shows the complete astrometric record for 20KR55. 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 (20KR55) followed by the observatory code and reference code for the source of the astrometry.
2020 05 26.44301 19 10 50.199 -19 44 17.96 25.9r 20KR55 266 C~6c5c 2020 05 26.50149 19 10 49.970 -19 44 17.91 25.9r 20KR55 266 C~6c5c 2020 05 26.55599 19 10 49.756 -19 44 17.85 25.9r 20KR55 266 C~6c5c 2020 05 29.44698 19 10 38.350 -19 44 15.19 26.1r 20KR55 266 C~6c5c 2020 05 29.53371 19 10 37.991 -19 44 15.15 26.1r 20KR55 266 C~6c5c 2020 05 29.61905 19 10 37.637 -19 44 15.09 26.1r 20KR55 266 C~6c5c 2020 05 31.44139 19 10 30.137 -19 44 14.20 26.2r 20KR55 266 C~6c5c 2020 05 31.52961 19 10 29.760 -19 44 14.19 26.2r 20KR55 266 C~6c5c 2020 05 31.61814 19 10 29.381 -19 44 14.16 26.2r 20KR55 266 C~6c5c 2020 06 21.45390 19 08 50.033 -19 44 40.53 26.1r 20KR55 266 C~6c5c 2020 06 21.53376 19 08 49.608 -19 44 40.74 26.1r 20KR55 266 C~6c5c 2020 06 21.61261 19 08 49.189 -19 44 40.93 26.1r 20KR55 266 C~6c5c 2020 06 24.43648 19 08 34.317 -19 44 48.86 26.2r 20KR55 266 C~6c5c 2020 06 24.52599 19 08 33.833 -19 44 49.13 26.2r 20KR55 266 C~6c5c 2020 06 24.61708 19 08 33.342 -19 44 49.37 26.2r 20KR55 266 C~6c5c 2020 08 12.26680 19 04 22.438 -19 48 18.19 26.0r 20KR55 266 C~6c5c 2020 08 12.34843 19 04 22.082 -19 48 18.56 26.0r 20KR55 266 C~6c5c 2020 08 12.42950 19 04 21.730 -19 48 18.90 26.0r 20KR55 266 C~6c5c 2020 08 14.24286 19 04 14.131 -19 48 26.71 25.9r 20KR55 266 C~6c5c 2020 08 14.33285 19 04 13.750 -19 48 27.11 25.9r 20KR55 266 C~6c5c 2020 08 14.42134 19 04 13.376 -19 48 27.48 25.9r 20KR55 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 0.06 0.00 -0.09
2 0.0002 -3.20 0.06 0.44 -0.10
3 0.0003 -6.20 0.07 0.87 -0.10
4 0.0082 -165.73 -0.03 22.99 0.02
5 0.0085 -170.76 -0.02 23.64 0.02
6 0.0087 -175.71 -0.02 24.31 0.02
7 0.0137 -280.72 -0.06 37.97 0.08
8 0.0139 -286.00 -0.06 38.63 0.08
9 0.0142 -291.31 -0.06 39.30 0.08
10 0.0712 -1687.10 0.07 180.62 0.00
11 0.0714 -1693.08 0.07 181.12 0.00
12 0.0716 -1698.98 0.06 181.63 -0.00
13 0.0794 -1908.43 -0.04 198.53 0.01
14 0.0796 -1915.24 -0.04 199.07 0.00
15 0.0799 -1922.16 -0.05 199.64 0.01
16 0.2131 -5465.55 -0.01 398.60 -0.05
17 0.2133 -5470.58 -0.01 398.79 -0.05
18 0.2135 -5475.56 0.00 399.01 -0.05
19 0.2185 -5583.08 0.01 403.22 0.04
20 0.2187 -5588.48 0.00 403.42 0.04
21 0.2190 -5593.77 -0.00 403.64 0.04
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.
20KR55 quality flag:1 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 42.268 45.459 40.119 ecceobj 0.083 0.167 0.088 incobj 18.348 17.768 18.983 qmin 37.213 36.785 36.238 qmax 48.007 55.258 44.479 amean 42.448 45.789 40.287 amin 42.075 45.376 39.960 amax 42.838 46.272 40.617 emean 0.093 0.177 0.081 emin 0.066 0.161 0.067 emax 0.121 0.194 0.096 imean 19.780 19.177 20.703 imin 19.152 18.644 19.994 imax 20.386 19.647 21.413 excite_mean 0.351 0.373 0.363 fracstop 1.000 1.000 1.000 cjmean 2.933 2.950 2.904 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 176.3 169.2 178.4 kozaiamp 179.9 179.9 180.0