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: 05PK21
# Created Wed Dec 25 02:08:45 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 26 observations of 26
# Arc: 15.39y
# First observation: 2005/07/07
# Last observation: 2020/11/26
# Chi-squared of fit: 18.72 DOF: 46 RMS: 0.15
# Min/Max residuals: -0.39 0.41
# Exact a, adot, b, bdot, g, gdot:
1.675535E-05 2.572301E-02 1.322394E-06 2.401613E-03 2.526202E-02 -2.065837E-03
# Covariance matrix:
2.2277E-13 -6.8364E-14 5.3418E-15 -5.3743E-15 1.7002E-13 -1.7010E-13
-6.8364E-14 3.8797E-14 -3.2671E-15 3.4126E-15 -5.9122E-14 1.0564E-13
5.3418E-15 -3.2671E-15 9.2100E-14 -9.1696E-15 5.3555E-15 -9.4098E-15
-5.3743E-15 3.4126E-15 -9.1696E-15 2.4442E-15 -5.1519E-15 9.8367E-15
1.7002E-13 -5.9122E-14 5.3555E-15 -5.1519E-15 2.5480E-13 -1.6753E-13
-1.7010E-13 1.0564E-13 -9.4098E-15 9.8367E-15 -1.6753E-13 3.0435E-13
# lat0 lon0 xBary yBary zBary JD0
0.853531 -58.608309 0.277196 0.014650 -0.978271 2453558.929176
# Heliocentric elements and errors
Epoch: 2453558.5000 = 2005/07/07
Mean Anomaly: 318.08964 +/- 0.026
Argument of Peri: 60.62950 +/- 0.033
Long of Asc Node: 292.16138 +/- 0.000
Inclination: 5.40906 +/- 0.000
Eccentricity: 0.11548283 +/- 0.0000
Semi-Major Axis: 44.05010889 +/- 0.0043
Time of Perihelion: 2465990.4094 +/- 15.8
Perihelion: 38.96307760 +/- 0.0042
Aphelion: 49.13714019 +/- 0.0051
Period (y) 292.3672 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 20.88637149 +/- 0.0004
Ecliptic Y -34.76739548 +/- 0.0007
Ecliptic Z 0.58976536 +/- 0.0000
Ecliptic XDOT 0.00226238 +/- 0.0000
Ecliptic YDOT 0.00163958 +/- 0.0000
Ecliptic ZDOT 0.00025696 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.56309284 +/- 0.0006
Geocenter to KBO 39.58519378 +/- 0.0008
# Hcoef: 7.09
The following table shows the complete astrometric record for 05PK21. 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 (05PK21) followed by the observatory code and reference code for the source of the astrometry.
2005 07 07.428433 20 13 42.82 -19 01 01.1 05PK21 T14 C~63QT 2005 07 07.454973 20 13 42.68 -19 01 01.4 05PK21 T14 C~63QT 2005 07 07.481545 20 13 42.56 -19 01 01.5 05PK21 T14 C~63QT 2005 08 08.07888 20 11 03.75 -19 08 38.6 22.7R 05PK21 807 Co4015 2005 08 08.19553 20 11 03.16 -19 08 40.3 05PK21 807 Co4015 2005 08 09.08415 20 10 58.85 -19 08 53.2 05PK21 807 Co4015 2005 09 30.221509 20 08 02.56 -19 17 31.7 23.0i 05PK21 T14 C~63QT 2005 09 30.224256 20 08 02.55 -19 17 31.7 05PK21 T14 C~63QT 2005 09 30.266857 20 08 02.49 -19 17 31.9 05PK21 T14 C~63QT 2005 09 30.269691 20 08 02.49 -19 17 31.8 05PK21 T14 C~63QT 2005 09 30.313143 20 08 02.43 -19 17 31.9 05PK21 T14 C~63QT 2005 09 30.316008 20 08 02.44 -19 17 31.9 05PK21 T14 C~63QT 2006 07 19.394788 20 18 41.96 -18 36 02.8 05PK21 T14 C~63QT 2006 07 19.424535 20 18 41.79 -18 36 03.1 05PK21 T14 C~63QT 2006 07 19.467690 20 18 41.57 -18 36 04.0 05PK21 T14 C~63QT 2006 07 20.414905 20 18 36.80 -18 36 18.5 05PK21 T14 C~63QT 2012 07 21.381749 20 54 08.72 -15 33 22.0 05PK21 T09 C~63QT 2012 07 21.461301 20 54 08.33 -15 33 23.5 23.0V 05PK21 T09 C~63QT 2012 07 21.538138 20 54 07.94 -15 33 24.9 05PK21 T09 C~63QT 2012 07 22.340236 20 54 04.05 -15 33 39.3 05PK21 T09 C~63QT 2013 05 08.399165 21 03 14.22 -14 51 00.8 05PK21 W84 C~63QT 2013 05 08.412264 21 03 14.22 -14 51 00.7 05PK21 W84 C~63QT 2013 05 08.425926 21 03 14.22 -14 51 00.6 05PK21 W84 C~63QT 2019 08 11.208725 21 33 38.40 -11 35 04.4 22.8i 05PK21 W84 C~63QT 2019 08 11.211477 21 33 38.37 -11 35 04.7 22.9i 05PK21 W84 C~63QT 2020 11 26.045326 21 35 20.44 -11 21 48.3 05PK21 W84 C~63QT
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 -0.15 0.00 0.01
2 0.0001 0.00 -0.28 0.00 0.07
3 0.0001 0.00 -0.10 0.00 0.34
4 0.0867 0.00 -0.03 0.00 -0.09
5 0.0870 0.00 -0.18 0.00 -0.12
6 0.0894 0.00 0.05 0.00 -0.39
7 0.2322 0.00 -0.00 0.00 -0.01
8 0.2322 0.00 -0.09 0.00 0.00
9 0.2323 0.00 -0.11 0.00 -0.03
10 0.2323 0.00 -0.05 0.00 0.08
11 0.2324 0.00 -0.05 0.00 0.14
12 0.2324 0.00 0.16 0.00 0.15
13 1.0321 0.00 0.37 0.00 -0.01
14 1.0322 0.00 0.12 0.00 0.14
15 1.0323 0.00 0.15 0.00 -0.10
16 1.0349 0.00 0.41 0.00 -0.24
17 7.0389 0.00 0.01 0.00 0.04
18 7.0391 0.00 0.06 0.00 -0.01
19 7.0393 0.00 -0.07 0.00 -0.04
20 7.0415 0.00 -0.03 0.00 0.05
21 7.8356 0.00 -0.00 0.00 0.01
22 7.8357 0.00 -0.10 0.00 0.02
23 7.8357 0.00 -0.20 0.00 0.03
24 14.0939 0.00 0.21 0.00 0.16
25 14.0939 0.00 -0.03 0.00 -0.08
26 15.3884 0.00 -0.08 0.00 -0.13
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.
05PK21 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.120 44.120 44.120 ecceobj 0.120 0.120 0.120 incobj 5.412 5.412 5.412 qmin 38.053 38.076 38.082 qmax 50.493 50.510 50.517 amean 44.156 44.155 44.156 amin 43.782 43.787 43.786 amax 44.542 44.563 44.571 emean 0.119 0.119 0.119 emin 0.104 0.103 0.103 emax 0.134 0.134 0.134 imean 7.116 7.116 7.115 imin 6.400 6.404 6.407 imax 7.875 7.874 7.875 excite_mean 0.172 0.172 0.172 fracstop 1.000 1.000 1.000 cjmean 3.068 3.068 3.068 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 177.5 177.3 177.3 kozaiamp 180.0 180.0 180.0