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: 20KG56
# Created Wed May 8 01:18:31 2024
# Orbit generated from Bernstein formalism
# Fitting 27 observations of 27
# Arc: 75.98d
# First observation: 2020/05/30
# Last observation: 2020/08/14
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.022844 0.000010 0.000099 0.027198 0.000000
# Chi-squared of fit: 0.25 DOF: 48 RMS: 0.02
# Min/Max residuals: -0.05 0.02
# Exact a, adot, b, bdot, g, gdot:
1.837794E-05 3.368871E-02 5.235945E-08 1.111180E-04 2.908227E-02 8.018594E-03
# Covariance matrix:
2.7343E-13 2.2415E-11 -2.4734E-14 4.2613E-14 5.1631E-12 2.2403E-10
2.2415E-11 1.1951E-07 -1.1007E-10 1.4313E-10 2.2079E-08 3.0049E-07
-2.4734E-14 -1.1007E-10 2.2826E-13 -1.0264E-12 -2.0355E-11 -2.8056E-10
4.2613E-14 1.4313E-10 -1.0264E-12 1.1173E-11 2.6533E-11 3.7702E-10
5.1631E-12 2.2079E-08 -2.0355E-11 2.6533E-11 4.0843E-09 5.6514E-08
2.2403E-10 3.0049E-07 -2.8056E-10 3.7702E-10 5.6514E-08 9.4818E-07
# lat0 lon0 xBary yBary zBary JD0
2.328439 -72.771207 0.627302 0.031985 -0.789772 2458999.940151
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 25.42981 +/- 1.669
Argument of Peri: 32.80527 +/- 1.931
Long of Asc Node: 202.16184 +/- 0.141
Inclination: 2.28767 +/- 0.001
Eccentricity: 0.33954199 +/- 0.0382
Semi-Major Axis: 48.22743402 +/- 2.0005
Time of Perihelion: 2450349.1747 +/- 180.2
Perihelion: 31.85219513 +/- 2.2656
Aphelion: 64.60267291 +/- 3.2509
Period (y) 334.9264 +/- 20.84
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 9.81667791 +/- 0.0224
Ecliptic Y -33.76281042 +/- 0.0721
Ecliptic Z 1.39706532 +/- 0.0031
Ecliptic XDOT 0.00326059 +/- 0.0000
Ecliptic YDOT 0.00022291 +/- 0.0001
Ecliptic ZDOT 0.00004089 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 35.18872439 +/- 0.0695
Geocenter to KBO 34.38520942 +/- 0.0756
# Hcoef: 10.88
The following table shows the complete astrometric record for 20KG56. 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 (20KG56) followed by the observatory code and reference code for the source of the astrometry.
2020 05 30.43935 19 13 26.241 -20 01 10.18 26.3r 20KG56 266 C~6c5d 2020 05 30.53044 19 13 25.842 -20 01 10.65 26.3r 20KG56 266 C~6c5d 2020 05 30.61862 19 13 25.454 -20 01 11.08 26.3r 20KG56 266 C~6c5d 2020 06 01.43269 19 13 17.555 -20 01 20.44 26.2r 20KG56 266 C~6c5d 2020 06 01.47325 19 13 17.371 -20 01 20.67 26.2r 20KG56 266 C~6c5d 2020 06 01.60571 19 13 16.769 -20 01 21.38 26.2r 20KG56 266 C~6c5d 2020 06 20.45583 19 11 42.006 -20 03 31.08 26.1r 20KG56 266 C~6c5d 2020 06 20.52860 19 11 41.597 -20 03 31.68 26.1r 20KG56 266 C~6c5d 2020 06 20.62233 19 11 41.073 -20 03 32.43 26.1r 20KG56 266 C~6c5d 2020 06 21.45390 19 11 36.495 -20 03 39.42 26.2r 20KG56 266 C~6c5d 2020 06 21.53376 19 11 36.044 -20 03 40.08 26.2r 20KG56 266 C~6c5d 2020 06 21.61261 19 11 35.600 -20 03 40.71 26.2r 20KG56 266 C~6c5d 2020 06 22.44948 19 11 30.961 -20 03 47.75 26.3r 20KG56 266 C~6c5d 2020 06 22.52092 19 11 30.556 -20 03 48.35 26.3r 20KG56 266 C~6c5d 2020 06 22.59118 19 11 30.157 -20 03 48.93 26.3r 20KG56 266 C~6c5d 2020 06 24.43648 19 11 19.820 -20 04 04.76 26.3r 20KG56 266 C~6c5d 2020 06 24.51619 19 11 19.362 -20 04 05.46 26.3r 20KG56 266 C~6c5d 2020 06 24.59604 19 11 18.905 -20 04 06.13 26.3r 20KG56 266 C~6c5d 2020 06 25.44823 19 11 14.105 -20 04 13.59 26.0r 20KG56 266 C~6c5d 2020 06 25.53213 19 11 13.620 -20 04 14.32 26.0r 20KG56 266 C~6c5d 2020 06 25.61487 19 11 13.144 -20 04 15.02 26.0r 20KG56 266 C~6c5d 2020 08 12.26680 19 06 51.216 -20 12 07.17 26.5r 20KG56 266 C~6c5d 2020 08 12.34843 19 06 50.837 -20 12 07.97 26.5r 20KG56 266 C~6c5d 2020 08 12.42950 19 06 50.461 -20 12 08.74 26.5r 20KG56 266 C~6c5d 2020 08 14.24286 19 06 42.388 -20 12 26.07 26.5r 20KG56 266 C~6c5d 2020 08 14.33285 19 06 41.983 -20 12 26.94 26.5r 20KG56 266 C~6c5d 2020 08 14.42134 19 06 41.586 -20 12 27.77 26.5r 20KG56 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 -0.01 0.00 0.00
2 0.0002 -5.64 -0.01 0.24 0.00
3 0.0005 -11.12 -0.01 0.50 0.00
4 0.0055 -122.74 0.01 5.16 0.01
5 0.0056 -125.34 0.01 5.25 0.01
6 0.0059 -133.85 0.01 5.61 0.01
7 0.0575 -1475.02 0.01 42.48 0.02
8 0.0577 -1480.82 0.00 42.60 0.02
9 0.0580 -1488.24 0.01 42.76 0.02
10 0.0603 -1553.11 0.01 43.74 -0.05
11 0.0605 -1559.50 0.01 43.86 -0.05
12 0.0607 -1565.79 0.01 44.01 -0.04
13 0.0630 -1631.53 -0.01 45.03 -0.01
14 0.0632 -1637.26 0.01 45.14 -0.01
15 0.0634 -1642.91 0.00 45.25 -0.01
16 0.0684 -1789.41 -0.03 47.36 0.01
17 0.0687 -1795.90 -0.04 47.46 0.00
18 0.0689 -1802.37 -0.02 47.58 0.00
19 0.0712 -1870.41 0.02 48.44 0.01
20 0.0714 -1877.28 0.01 48.55 0.02
21 0.0717 -1884.02 0.01 48.67 0.02
22 0.2021 -5604.08 -0.00 18.28 -0.01
23 0.2024 -5609.48 -0.01 18.10 -0.01
24 0.2026 -5614.83 -0.01 17.95 -0.01
25 0.2075 -5729.80 0.01 13.85 0.01
26 0.2078 -5735.57 0.00 13.65 0.01
27 0.2080 -5741.22 0.01 13.47 0.01
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.
20KG56 quality flag:1 Type: 2:1E CENTAURR REMOVED axisobj 47.318 57.518 41.147 ecceobj 0.329 0.466 0.206 incobj 2.294 2.294 2.294 qmin 30.997 29.983 30.775 qmax 65.478 107.127 57.783 amean 47.797 60.947 40.463 amin 47.280 55.840 32.947 amax 48.494 69.200 44.982 emean 0.337 0.493 0.206 emin 0.324 0.442 0.007 emax 0.350 0.554 0.288 imean 2.831 4.641 1.464 imin 2.204 2.866 0.157 imax 3.443 8.460 3.207 excite_mean 0.341 0.500 0.208 fracstop 1.000 0.237 0.326 cjmean 2.999 2.958 3.011 libcent 0 290.2 -180.0 -180.0 libamp 0 17.4 -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 179.2 122.5 189.8 kozaiamp 179.9 179.9 180.0