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: 20KD56
# Created Tue Apr 1 01:11:20 2025
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 26.18d
# First observation: 2020/05/30
# Last observation: 2020/06/25
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.035143 -0.000000 -0.009908 0.027818 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 0.62 DOF: 19 RMS: 0.04
# Min/Max residuals: -0.02 0.03
# Exact a, adot, b, bdot, g, gdot:
1.827004E-05 3.092467E-02 -5.762205E-06 -9.784369E-03 2.693334E-02 -6.594632E-04
# Covariance matrix:
6.8100E-13 9.2940E-10 -2.0697E-14 -2.2075E-11 1.8386E-10 9.5452E-09
9.2940E-10 2.3487E-06 -5.7466E-11 -5.1830E-08 4.5407E-07 1.8271E-05
-2.0697E-14 -5.7466E-11 2.6317E-13 -2.8289E-12 -1.0960E-11 -3.4591E-10
-2.2075E-11 -5.1830E-08 -2.8289E-12 1.3050E-09 -1.0124E-08 -4.7291E-07
1.8386E-10 4.5407E-07 -1.0960E-11 -1.0124E-08 8.8028E-08 3.6930E-06
9.5452E-09 1.8271E-05 -3.4591E-10 -4.7291E-07 3.6930E-06 2.4999E-04
# lat0 lon0 xBary yBary zBary JD0
1.968088 -71.961066 0.638415 0.026710 -0.781014 2458999.940151
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 357.14705 +/- 37.915
Argument of Peri: 180.86827 +/- 97.577
Long of Asc Node: 113.16840 +/- 0.313
Inclination: 17.59348 +/- 0.877
Eccentricity: 0.40237435 +/- 0.0548
Semi-Major Axis: 63.31085231 +/- 6.0597
Time of Perihelion: 2460448.6668 +/- 19377.6
Perihelion: 37.83618921 +/- 5.0149
Aphelion: 88.78551542 +/- 9.1788
Period (y) 503.7620 +/- 72.33
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.13125371 +/- 0.1266
Ecliptic Y -36.23044797 +/- 0.3887
Ecliptic Z 1.27496266 +/- 0.0140
Ecliptic XDOT 0.00298701 +/- 0.0006
Ecliptic YDOT 0.00100824 +/- 0.0015
Ecliptic ZDOT -0.00099656 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 37.92328703 +/- 0.3732
Geocenter to KBO 37.12870813 +/- 0.4090
# Hcoef: 10.04
The following table shows the complete astrometric record for 20KD56. 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 (20KD56) followed by the observatory code and reference code for the source of the astrometry.
2020 05 30.43935 19 17 03.313 -20 16 22.63 25.8r 20KD56 266 C~6c5d 2020 05 30.53044 19 17 02.952 -20 16 23.62 25.8r 20KD56 266 C~6c5d 2020 05 30.61862 19 17 02.602 -20 16 24.56 25.8r 20KD56 266 C~6c5d 2020 06 01.43269 19 16 55.465 -20 16 44.33 25.9r 20KD56 266 C~6c5d 2020 06 01.47325 19 16 55.299 -20 16 44.79 25.9r 20KD56 266 C~6c5d 2020 06 01.60571 19 16 54.754 -20 16 46.26 25.9r 20KD56 266 C~6c5d 2020 06 22.44948 19 15 18.395 -20 21 09.68 25.8r 20KD56 266 C~6c5d 2020 06 22.52092 19 15 18.023 -20 21 10.67 25.8r 20KD56 266 C~6c5d 2020 06 22.59118 19 15 17.658 -20 21 11.64 25.8r 20KD56 266 C~6c5d 2020 06 25.44823 19 15 02.951 -20 21 51.97 25.5r 20KD56 266 C~6c5d 2020 06 25.53213 19 15 02.507 -20 21 53.16 25.5r 20KD56 266 C~6c5d 2020 06 25.61487 19 15 02.070 -20 21 54.32 25.5r 20KD56 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 0.0002 -5.17 -0.02 -0.31 0.01
3 0.0005 -10.17 -0.02 -0.60 0.00
4 0.0055 -112.32 0.02 -7.02 -0.00
5 0.0056 -114.69 0.03 -7.17 -0.00
6 0.0059 -122.49 0.02 -7.62 -0.01
7 0.0630 -1500.72 -0.01 -92.75 -0.02
8 0.0632 -1506.03 -0.01 -93.06 -0.02
9 0.0634 -1511.25 -0.01 -93.36 -0.02
10 0.0712 -1721.55 0.01 -106.78 0.02
11 0.0714 -1727.90 0.01 -107.16 0.02
12 0.0717 -1734.14 0.00 -107.52 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.
20KD56 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0