Orbit Fit and Astrometric record for 05PT21

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 Fri Dec  3 02:10:21 2021
# 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           35.223    35.229    35.168
qmax          116.748   116.750   116.974
amean          74.062    74.425    74.586
amin           72.167    73.254    72.502
amax           76.331    76.331    76.481
emean           0.513     0.515     0.517
emin            0.496     0.503     0.502
emax            0.530     0.530     0.531
imean           7.959     8.114     7.963
imin            7.316     7.435     7.395
imax            8.790     8.794     8.745
excite_mean     0.532     0.534     0.535
fracstop        1.000     1.000     1.000
cjmean          3.073     3.073     3.072

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       192.0     179.8     190.2
kozaiamp        179.9     179.9     180.0