Orbit Fit and Astrometric record for 13PX74

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: 13PX74    
# Created Sat Dec  4 02:11:47 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     67 observations of     67
# Arc:   9.98y
# First observation: 2011/08/24
#  Last observation: 2021/08/16
# Chi-squared of fit:    28.36 DOF:    128 RMS:  0.12
# Min/Max residuals:    -0.38    0.35
# Exact a, adot, b, bdot, g, gdot:
  1.389465E-05  1.925063E-02  3.945529E-07  1.211311E-03  2.245979E-02  6.724460E-04
# Covariance matrix:
  1.6803E-13 -6.5095E-14  5.8067E-15 -3.3680E-15 -3.1164E-14 -2.7987E-13
 -6.5095E-14  3.4594E-14 -3.5838E-15  2.0617E-15  2.1157E-14  1.7163E-13
  5.8067E-15 -3.5838E-15  8.4969E-14 -1.4078E-14 -2.9129E-15 -1.9397E-14
 -3.3680E-15  2.0617E-15 -1.4078E-14  3.2156E-15  1.0176E-15  1.1315E-14
 -3.1164E-14  2.1157E-14 -2.9129E-15  1.0176E-15  9.1870E-14  9.6795E-14
 -2.7987E-13  1.7163E-13 -1.9397E-14  1.1315E-14  9.6795E-14  9.3908E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   -7.132370  -19.478950    0.173181   -0.123365   -0.985556  2455797.936856
# Heliocentric elements and errors
Epoch:              2455798.5000  =  2011/08/25
Mean Anomaly:          167.13519 +/-     0.019
Argument of Peri:      126.49682 +/-     0.017
Long of Asc Node:       43.25097 +/-     0.001
Inclination:             7.82360 +/-     0.000
Eccentricity:         0.14865659 +/-    0.0000
Semi-Major Axis:     39.72117960 +/-    0.0016
Time of Perihelion: 2413346.6091 +/-       5.5
Perihelion:          33.81636451 +/-    0.0018
Aphelion:            45.62599469 +/-    0.0022
Period (y)              250.3464 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           42.53340852 +/-    0.0006
Ecliptic Y          -15.22533495 +/-    0.0002
Ecliptic Z           -5.52814445 +/-    0.0001
Ecliptic XDOT         0.00087338 +/-    0.0000
Ecliptic YDOT         0.00218454 +/-    0.0000
Ecliptic ZDOT         0.00013640 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   45.51329959 +/-    0.0005
Geocenter to KBO     44.52402840 +/-    0.0006
# Hcoef:  5.77

The following table shows the complete astrometric record for 13PX74. 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 (13PX74) followed by the observatory code and reference code for the source of the astrometry.

2011 08  24.43609  22 59 11.637  -14 12 48.02  22.5w 13PX74    F51  C~1w3u      
2011 08  24.45009  22 59 11.578  -14 12 48.60  23.0w 13PX74    F51  C~1w3u      
2011 08  24.46405  22 59 11.520  -14 12 48.79  22.7w 13PX74    F51  C~1w3u      
2011 08  24.47804  22 59 11.471  -14 12 49.12  22.9w 13PX74    F51  C~1w3u      
2012 08  14.48416  23 03 53.936  -13 39 06.34  22.1w 13PX74    F51  C~1w3u      
2012 08  14.49920  23 03 53.862  -13 39 06.62  22.1w 13PX74    F51  C~1w3u      
2012 08  14.51426  23 03 53.810  -13 39 07.37  22.4w 13PX74    F51  C~1w3u      
2012 08  14.52929  23 03 53.760  -13 39 07.54  22.2w 13PX74    F51  C~1w3u      
2012 11  01.35219  22 58 57.436  -14 04 01.08  22.5G 13PX74    F51  C~2r7Q      
2013 08  09.44903  23 08 16.731  -13 07 00.15  22.2w 13PX74    F51  C~1w3u      
2013 08  09.46327  23 08 16.683  -13 07 00.62  22.5w 13PX74    F51  C~1w3u      
2013 08  09.47752  23 08 16.619  -13 07 01.00  22.2w 13PX74    F51  C~1w3u      
2013 08  09.49176  23 08 16.566  -13 07 01.32  22.3w 13PX74    F51  C~1w3u      
2013 08  26.47023  23 07 09.029  -13 14 37.82  21.9r 13PX74    F51  C~1w3u      
2013 08  26.50878  23 07 08.854  -13 14 38.80  21.7i 13PX74    F51  C~1w3u      
2013 09  01.42444  23 06 43.693  -13 17 16.41  22.6w 13PX74    F51  C~1w3u      
2013 09  01.43865  23 06 43.638  -13 17 16.75  22.2w 13PX74    F51  C~1w3u      
2013 09  01.45211  23 06 43.567  -13 17 16.89  22.4w 13PX74    F51  C~1w3u      
2013 09  01.46556  23 06 43.516  -13 17 17.31  22.4w 13PX74    F51  C~1w3u      
2013 09  22.41050  23 05 13.674  -13 25 46.43  21.6i 13PX74    F51  C~1w3u      
2014 09  12.42826  23 09 59.163  -12 51 59.08  22.1G 13PX74    F51  C~2r7Q      
2014 09  17.44081  23 09 37.678  -12 54 00.63  22.3G 13PX74    F51  C~2r7Q      
2014 09  23.37095  23 09 12.597  -12 56 15.51  22.1G 13PX74    F51  C~2r7Q      
2014 11  12.21659  23 06 39.624  -13 05 47.29  22.5G 13PX74    F51  C~2r7Q      
2014 11  22.23610  23 06 28.824  -13 05 08.82  22.1G 13PX74    F51  C~2r7Q      
2014 11  24.21454  23 06 27.702  -13 04 54.56  22.5G 13PX74    F51  C~2r7Q      
2015 07  24.54200  23 17 08.841  -12 00 13.19  22.7G 13PX74    F51  C~2r7Q      
2015 07  24.55447  23 17 08.819  -12 00 13.68  22.4G 13PX74    F51  C~2r7Q      
2015 07  24.56690  23 17 08.779  -12 00 13.73  22.5G 13PX74    F51  C~2r7Q      
2015 08  13.59972  23 16 03.858  -12 08 37.01  22.5G 13PX74    F51  C~2r7Q      
2015 08  14.51705  23 16 00.429  -12 09 01.20  22.0G 13PX74    F51  C~2r7Q      
2015 08  21.45885  23 15 33.438  -12 12 08.51  22.2G 13PX74    F51  C~2r7Q      
2016 07  11.56169  23 21 33.091  -11 25 47.32  22.2G 13PX74    F51  C~2r7Q      
2016 07  11.57419  23 21 33.069  -11 25 47.56  22.5G 13PX74    F51  C~2r7Q      
2016 07  11.58668  23 21 33.051  -11 25 47.84  22.5G 13PX74    F51  C~2r7Q      
2016 07  11.59917  23 21 33.029  -11 25 48.05  22.7G 13PX74    F51  C~2r7Q      
2016 08  02.51700  23 20 37.937  -11 33 52.77  22.1G 13PX74    F51  C~2r7Q      
2016 08  02.52806  23 20 37.907  -11 33 52.93  22.2G 13PX74    F51  C~2r7Q      
2016 08  02.53912  23 20 37.865  -11 33 53.28  22.5G 13PX74    F51  C~2r7Q      
2016 08  02.55017  23 20 37.826  -11 33 53.60  22.4G 13PX74    F51  C~2r7Q      
2017 07  25.56326  23 24 58.520  -11 00 11.44  22.5G 13PX74    F51  C~2r7Q      
2017 07  25.57444  23 24 58.493  -11 00 11.57  22.4G 13PX74    F51  C~2r7Q      
2017 07  25.58558  23 24 58.458  -11 00 11.94  22.2G 13PX74    F51  C~2r7Q      
2017 07  25.59675  23 24 58.424  -11 00 12.17  22.8G 13PX74    F51  C~2r7Q      
2017 09  15.40463  23 21 44.104  -11 22 37.69  22.8G 13PX74    F51  C~2r7Q      
2017 09  15.41574  23 21 44.062  -11 22 37.83  22.1G 13PX74    F51  C~2r7Q      
2017 09  15.42693  23 21 44.013  -11 22 38.18  22.3G 13PX74    F51  C~2r7Q      
2017 09  15.43803  23 21 43.965  -11 22 38.37  22.4G 13PX74    F51  C~2r7Q      
2017 09  23.39346  23 21 10.148  -11 25 50.26  22.3G 13PX74    F51  C~2r7Q      
2017 09  23.40463  23 21 10.110  -11 25 50.69  22.1G 13PX74    F51  C~2r7Q      
2017 09  23.41576  23 21 10.052  -11 25 50.90  22.1G 13PX74    F51  C~2r7Q      
2017 09  23.42688  23 21 10.012  -11 25 51.17  22.2G 13PX74    F51  C~2r7Q      
2017 10  11.37191  23 19 58.794  -11 31 52.66  22.4G 13PX74    F51  C~2r7Q      
2017 11  07.30329  23 18 39.818  -11 36 35.51  22.3G 13PX74    F51  C~2r7Q      
2017 11  07.31449  23 18 39.784  -11 36 35.48  22.5G 13PX74    F51  C~2r7Q      
2017 11  07.32567  23 18 39.754  -11 36 35.44  22.8G 13PX74    F51  C~2r7Q      
2017 12  05.25412  23 18 12.810  -11 34 40.04  21.0G 13PX74    F51  C~2r7Q      
2020 08  19.52133  23 35 25.173  -09 38 07.72  22.3w 13PX74    F51  C~441M      
2020 08  19.53381  23 35 25.135  -09 38 08.03  22.1w 13PX74    F51  C~441M      
2020 08  19.54632  23 35 25.100  -09 38 08.27  22.3w 13PX74    F51  C~441M      
2020 10  20.28254  23 31 17.230  -10 02 20.19  22.2w 13PX74    F51  C~49vQ      
2020 10  20.29378  23 31 17.178  -10 02 20.30  22.4w 13PX74    F51  C~49vQ      
2020 10  20.30506  23 31 17.150  -10 02 20.46  22.2w 13PX74    F51  C~49vQ      
2020 10  20.31630  23 31 17.114  -10 02 20.95  22.4w 13PX74    F51  C~49vQ      
2021 08  16.507616 23 39 32.787  -09 05 24.43  21.9w 13PX74    F51  C~4yQY      
2021 08  16.530047 23 39 32.712  -09 05 24.85  22.2w 13PX74    F51  C~4yQY      
2021 08  16.541308 23 39 32.655  -09 05 24.87  22.2w 13PX74    F51  C~4yQY      

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    -0.10       0.00     0.06
     2   0.0000      0.00    -0.09       0.00    -0.15
     3   0.0001      0.00    -0.06       0.00     0.04
     4   0.0001      0.00     0.11       0.00     0.08
     5   0.9748      0.00    -0.00       0.00    -0.01
     6   0.9748      0.00    -0.21       0.00     0.12
     7   0.9749      0.00    -0.08       0.00    -0.23
     8   0.9749      0.00     0.08       0.00     0.01
     9   1.1907      0.00     0.18       0.00     0.04
    10   1.9603      0.00     0.10       0.00     0.14
    11   1.9604      0.00     0.18       0.00     0.05
    12   1.9604      0.00     0.03       0.00     0.04
    13   1.9605      0.00     0.03       0.00     0.10
    14   2.0069      0.00     0.06       0.00     0.09
    15   2.0070      0.00    -0.09       0.00     0.15
    16   2.0232      0.00     0.04       0.00    -0.22
    17   2.0233      0.00     0.15       0.00    -0.19
    18   2.0233      0.00    -0.03       0.00     0.03
    19   2.0234      0.00     0.09       0.00    -0.04
    20   2.0807      0.00    -0.01       0.00     0.06
    21   3.0527      0.00    -0.38       0.00     0.15
    22   3.0664      0.00     0.17       0.00    -0.08
    23   3.0826      0.00    -0.23       0.00     0.24
    24   3.2191      0.00     0.12       0.00     0.01
    25   3.2465      0.00    -0.23       0.00    -0.02
    26   3.2520      0.00    -0.01       0.00     0.04
    27   3.9154      0.00    -0.17       0.00    -0.10
    28   3.9155      0.00     0.02       0.00    -0.30
    29   3.9155      0.00    -0.06       0.00    -0.07
    30   3.9703      0.00     0.11       0.00    -0.15
    31   3.9728      0.00     0.10       0.00     0.17
    32   3.9918      0.00    -0.03       0.00     0.08
    33   4.8819      0.00     0.01       0.00     0.07
    34   4.8820      0.00     0.03       0.00     0.06
    35   4.8820      0.00     0.11       0.00     0.02
    36   4.8820      0.00     0.13       0.00     0.04
    37   4.9420      0.00     0.04       0.00    -0.08
    38   4.9421      0.00     0.13       0.00     0.04
    39   4.9421      0.00     0.04       0.00    -0.03
    40   4.9421      0.00    -0.01       0.00    -0.08
    41   5.9196      0.00    -0.02       0.00    -0.09
    42   5.9196      0.00     0.03       0.00     0.04
    43   5.9196      0.00    -0.05       0.00    -0.08
    44   5.9197      0.00    -0.10       0.00    -0.06
    45   6.0615      0.00    -0.05       0.00    -0.03
    46   6.0615      0.00     0.05       0.00     0.11
    47   6.0616      0.00     0.04       0.00     0.04
    48   6.0616      0.00     0.05       0.00     0.13
    49   6.0834      0.00     0.00       0.00     0.04
    50   6.0834      0.00     0.15       0.00    -0.14
    51   6.0834      0.00    -0.01       0.00    -0.09
    52   6.0835      0.00     0.11       0.00    -0.10
    53   6.1326      0.00    -0.24       0.00     0.08
    54   6.2063      0.00     0.15       0.00    -0.11
    55   6.2064      0.00    -0.00       0.00    -0.04
    56   6.2064      0.00    -0.09       0.00     0.04
    57   6.2829      0.00    -0.02       0.00     0.03
    58   8.9886      0.00    -0.16       0.00    -0.07
    59   8.9886      0.00    -0.02       0.00    -0.04
    60   8.9887      0.00     0.17       0.00     0.05
    61   9.1577      0.00     0.10       0.00    -0.00
    62   9.1577      0.00    -0.10       0.00     0.05
    63   9.1578      0.00     0.06       0.00     0.06
    64   9.1578      0.00     0.10       0.00    -0.27
    65   9.9797      0.00    -0.07       0.00    -0.09
    66   9.9797      0.00     0.02       0.00     0.08
    67   9.9798      0.00    -0.22       0.00     0.35

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.

13PX74    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.699    39.699    39.699
ecceobj         0.149     0.149     0.149
incobj          7.825     7.825     7.825
qmin           32.854    32.855    32.854
qmax           46.653    46.601    46.666
amean          39.458    39.458    39.458
amin           38.996    38.994    38.978
amax           39.970    39.968    39.966
emean           0.149     0.149     0.149
emin            0.132     0.131     0.133
emax            0.167     0.166     0.168
imean           6.775     6.774     6.775
imin            6.094     6.092     6.096
imax            7.484     7.483     7.485
excite_mean     0.190     0.190     0.190
fracstop        1.000     1.000     1.000
cjmean          3.011     3.011     3.011

libcent 0       180.7     180.9     180.5
libamp  0       102.3     102.1     102.2
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       178.1     178.2     178.0
kozaiamp        179.9     180.0     180.0