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: 05PT21
# Created Wed Dec 25 02:08:46 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 20 observations of 20
# Arc: 16.09y
# First observation: 2005/08/09
# Last observation: 2021/09/12
# Chi-squared of fit: 8.09 DOF: 34 RMS: 0.11
# Min/Max residuals: -0.23 0.27
# Exact a, adot, b, bdot, g, gdot:
1.715128E-05 2.629416E-02 -2.007491E-06 -3.524904E-03 2.420921E-02 9.132031E-03
# Covariance matrix:
2.5660E-13 -8.7259E-14 -7.1159E-15 1.0658E-14 1.4146E-13 -2.0975E-13
-8.7259E-14 1.0036E-13 1.0290E-14 -1.3540E-14 -1.5301E-15 2.6502E-13
-7.1159E-15 1.0290E-14 1.1563E-13 -1.0206E-14 1.7852E-15 2.7778E-14
1.0658E-14 -1.3540E-14 -1.0206E-14 3.9622E-15 -6.3032E-17 -3.6521E-14
1.4146E-13 -1.5301E-15 1.7852E-15 -6.3032E-17 2.4771E-13 -7.9667E-16
-2.0975E-13 2.6502E-13 2.7778E-14 -3.6521E-14 -7.9667E-16 7.1477E-13
# lat0 lon0 xBary yBary zBary JD0
2.330933 -18.939307 0.415757 0.037828 -0.926316 2453591.759423
# Heliocentric elements and errors
Epoch: 2453592.5000 = 2005/08/10
Mean Anomaly: 17.08348 +/- 0.005
Argument of Peri: 106.92423 +/- 0.006
Long of Asc Node: 177.12135 +/- 0.000
Inclination: 7.92027 +/- 0.000
Eccentricity: 0.51920669 +/- 0.0001
Semi-Major Axis: 74.47509723 +/- 0.0152
Time of Perihelion: 2442452.4043 +/- 4.9
Perihelion: 35.80712880 +/- 0.0097
Aphelion: 113.14306567 +/- 0.0240
Period (y) 642.7244 +/- 0.20
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 39.77605551 +/- 0.0008
Ecliptic Y -14.09038316 +/- 0.0003
Ecliptic Z 1.67990090 +/- 0.0000
Ecliptic XDOT 0.00195810 +/- 0.0000
Ecliptic YDOT 0.00246565 +/- 0.0000
Ecliptic ZDOT -0.00035627 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.23121263 +/- 0.0008
Geocenter to KBO 41.30638766 +/- 0.0008
# Hcoef: 7.17
The following table shows the complete astrometric record for 05PT21. 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 (05PT21) followed by the observatory code and reference code for the source of the astrometry.
2005 08 09.25868 22 46 32.79 -05 15 37.6 22.1R 05PT21 807 Co4015 2005 08 10.09741 22 46 29.53 -05 15 58.2 05PT21 807 Co4015 2005 08 10.23568 22 46 28.99 -05 16 01.6 05PT21 807 Co4015 2005 10 28.33942 22 41 37.04 -05 49 37.9 24.0R 05PT21 568 Cp2094 2005 10 28.38963 22 41 36.96 -05 49 38.6 05PT21 568 Cp2094 2005 11 02.14682 22 41 28.70 -05 50 53.4 23.0R 05PT21 695 Cp0721 2005 11 03.15923 22 41 27.18 -05 51 08.0 05PT21 695 Cp0721 2005 11 03.21838 22 41 27.07 -05 51 08.7 05PT21 695 Cp0721 2006 08 22.22873 22 51 32.78 -04 58 16.1 22.2R 05PT21 807 Cs2735 2006 08 23.15560 22 51 28.94 -04 58 41.0 05PT21 807 Cs2735 2006 08 23.22281 22 51 28.63 -04 58 43.0 05PT21 807 Cs2735 2007 07 12.38543 22 59 31.40 -04 21 31.9 05PT21 304 Cv1996 2007 07 12.44263 22 59 31.28 -04 21 32.5 05PT21 304 Cv1996 2008 10 24.15157 22 58 59.27 -04 40 50.9 23.9r 05PT21 695 C~0gMH 2008 10 24.25969 22 58 58.99 -04 40 53.1 23.8r 05PT21 695 C~0gMH 2019 09 04.381940 23 57 40.509 -00 31 13.86 24.0G 05PT21 G37 C~3cXr 2019 09 04.479830 23 57 40.145 -00 31 16.17 05PT21 G37 C~3cXr 2021 09 12.310670 00 06 07.143 +00 02 31.75 24.1G 05PT21 G37 C~555b 2021 09 12.370860 00 06 06.915 +00 02 30.36 05PT21 G37 C~555b 2021 09 12.431320 00 06 06.687 +00 02 28.84 05PT21 G37 C~555b
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 0.03 0.00 -0.05
2 0.0023 0.00 -0.12 0.00 -0.22
3 0.0027 0.00 0.01 0.00 -0.23
4 0.2192 0.00 -0.09 0.00 -0.04
5 0.2194 0.00 0.22 0.00 0.09
6 0.2324 0.00 0.06 0.00 -0.01
7 0.2352 0.00 0.08 0.00 -0.07
8 0.2353 0.00 -0.21 0.00 0.06
9 1.0348 0.00 0.10 0.00 0.04
10 1.0374 0.00 0.27 0.00 0.15
11 1.0375 0.00 -0.10 0.00 -0.03
12 1.9223 0.00 -0.04 0.00 0.06
13 1.9225 0.00 -0.00 0.00 0.17
14 3.2085 0.00 -0.06 0.00 0.14
15 3.2088 0.00 -0.10 0.00 0.06
16 14.0702 0.00 -0.01 0.00 -0.08
17 14.0704 0.00 -0.05 0.00 0.11
18 16.0932 0.00 0.03 0.00 -0.17
19 16.0934 0.00 0.01 0.00 -0.00
20 16.0936 0.00 0.00 0.00 0.05
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.
05PT21 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 75.266 75.266 75.265 ecceobj 0.522 0.522 0.522 incobj 7.886 7.886 7.886 qmin 35.224 35.229 35.153 qmax 117.075 116.750 116.881 amean 74.353 74.030 74.149 amin 72.597 71.546 71.450 amax 76.600 76.331 76.390 emean 0.515 0.512 0.513 emin 0.501 0.491 0.493 emax 0.530 0.530 0.530 imean 7.927 8.145 7.980 imin 7.290 7.479 7.164 imax 8.761 8.784 8.745 excite_mean 0.533 0.531 0.532 fracstop 1.000 1.000 1.000 cjmean 3.073 3.073 3.073 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 193.4 191.0 178.8 kozaiamp 179.9 180.0 180.0