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: 20KN55
# 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 0.016213 0.000005 0.011069 0.024121 0.000000
# Chi-squared of fit: 0.10 DOF: 30 RMS: 0.01
# Min/Max residuals: -0.03 0.03
# Exact a, adot, b, bdot, g, gdot:
1.406740E-05 2.228101E-02 6.928290E-06 1.105478E-02 2.513857E-02 -2.072392E-03
# Covariance matrix:
2.7529E-13 2.6357E-11 -3.2759E-14 6.1196E-13 5.8703E-12 2.4564E-10
2.6357E-11 1.1771E-07 -9.3872E-11 7.5464E-10 2.1704E-08 3.0048E-07
-3.2759E-14 -9.3872E-11 2.5164E-13 -1.6764E-12 -1.7405E-11 -2.6019E-10
6.1196E-13 7.5464E-10 -1.6764E-12 1.7992E-11 1.4299E-10 2.7474E-09
5.8703E-12 2.1704E-08 -1.7405E-11 1.4299E-10 4.0092E-09 5.6952E-08
2.4564E-10 3.0048E-07 -2.6019E-10 2.7474E-09 5.6952E-08 1.0976E-06
# lat0 lon0 xBary yBary zBary JD0
2.479700 -73.226893 0.634150 0.033830 -0.784156 2458998.947781
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 286.63561 +/- 7.514
Argument of Peri: 90.01949 +/- 12.521
Long of Asc Node: 280.99094 +/- 0.078
Inclination: 26.47643 +/- 0.356
Eccentricity: 0.09926545 +/- 0.0401
Semi-Major Axis: 41.36627494 +/- 0.4224
Time of Perihelion: 2478794.4062 +/- 2005.5
Perihelion: 37.26003324 +/- 1.7034
Aphelion: 45.47251664 +/- 1.7241
Period (y) 266.0589 +/- 4.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.09381032 +/- 0.0289
Ecliptic Y -38.99277828 +/- 0.0958
Ecliptic Z 1.72142280 +/- 0.0043
Ecliptic XDOT 0.00225140 +/- 0.0001
Ecliptic YDOT 0.00096961 +/- 0.0001
Ecliptic ZDOT 0.00119285 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.57675051 +/- 0.0924
Geocenter to KBO 39.77950308 +/- 0.1002
# Hcoef: 8.35
The following table shows the complete astrometric record for 20KN55. 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 (20KN55) followed by the observatory code and reference code for the source of the astrometry.
2020 05 29.44698 19 11 26.094 -19 55 32.65 24.3r 20KN55 266 C~6c5b 2020 05 29.53371 19 11 25.740 -19 55 32.51 24.3r 20KN55 266 C~6c5b 2020 05 29.61905 19 11 25.391 -19 55 32.35 24.3r 20KN55 266 C~6c5b 2020 05 31.44139 19 11 17.997 -19 55 29.43 24.4r 20KN55 266 C~6c5b 2020 05 31.52961 19 11 17.625 -19 55 29.31 24.4r 20KN55 266 C~6c5b 2020 05 31.61814 19 11 17.251 -19 55 29.17 24.4r 20KN55 266 C~6c5b 2020 06 21.45390 19 09 39.539 -19 55 29.00 24.3r 20KN55 266 C~6c5b 2020 06 21.53376 19 09 39.122 -19 55 29.10 24.3r 20KN55 266 C~6c5b 2020 06 21.61261 19 09 38.712 -19 55 29.18 24.3r 20KN55 266 C~6c5b 2020 06 24.43648 19 09 24.116 -19 55 33.20 24.4r 20KN55 266 C~6c5b 2020 06 24.52458 19 09 23.649 -19 55 33.34 24.4r 20KN55 266 C~6c5b 2020 06 24.61708 19 09 23.160 -19 55 33.46 24.4r 20KN55 266 C~6c5b 2020 08 12.26680 19 05 16.166 -19 57 45.96 24.5r 20KN55 266 C~6c5b 2020 08 12.34843 19 05 15.813 -19 57 46.19 24.5r 20KN55 266 C~6c5b 2020 08 12.42950 19 05 15.463 -19 57 46.40 24.5r 20KN55 266 C~6c5b 2020 08 14.24286 19 05 07.920 -19 57 51.31 24.3r 20KN55 266 C~6c5b 2020 08 14.33285 19 05 07.542 -19 57 51.55 24.3r 20KN55 266 C~6c5b 2020 08 14.42134 19 05 07.172 -19 57 51.78 24.3r 20KN55 266 C~6c5b
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 -0.01 0.00 0.01
2 0.0002 -4.94 -0.01 0.75 0.00
3 0.0005 -9.80 -0.00 1.51 0.01
4 0.0055 -112.94 0.01 17.13 -0.01
5 0.0057 -118.13 0.01 17.89 -0.00
6 0.0059 -123.35 0.01 18.67 -0.00
7 0.0630 -1491.23 -0.01 185.13 0.01
8 0.0632 -1497.08 -0.01 185.74 0.00
9 0.0634 -1502.83 0.01 186.35 0.00
10 0.0712 -1707.69 -0.00 206.91 -0.00
11 0.0714 -1714.24 0.00 207.55 -0.01
12 0.0716 -1721.10 0.00 208.26 -0.01
13 0.2048 -5196.72 0.00 480.86 0.03
14 0.2051 -5201.70 0.00 481.19 0.03
15 0.2053 -5206.63 -0.00 481.54 0.03
16 0.2103 -5312.92 -0.00 488.67 -0.03
17 0.2105 -5318.24 -0.01 489.03 -0.02
18 0.2107 -5323.45 0.00 489.39 -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.
20KN55 quality flag:2 Type: SCATEXTD SCATEXTD 3:2E axisobj 40.926 43.419 39.360 ecceobj 0.102 0.082 0.174 incobj 26.601 25.458 27.771 qmin 36.526 38.125 24.831 qmax 45.888 49.760 54.481 amean 41.079 43.750 39.453 amin 40.764 43.313 39.071 amax 41.419 44.160 39.940 emean 0.091 0.101 0.287 emin 0.076 0.078 0.146 emax 0.109 0.127 0.369 imean 28.253 26.900 26.053 imin 27.825 26.422 22.772 imax 28.658 27.190 29.731 excite_mean 0.482 0.464 0.528 fracstop 1.000 1.000 1.000 cjmean 2.782 2.826 2.727 libcent 0 -180.0 -180.0 181.8 libamp 0 -180.0 -180.0 46.3 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 180.7 168.3 92.0 kozaiamp 180.0 180.0 80.3