Orbit Fit and Astrometric record for 13RP98

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: 13RP98    
# Created Sat Dec  4 02:11:48 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     57 observations of     57
# Arc:   8.02y
# First observation: 2013/09/03
#  Last observation: 2021/09/12
# Chi-squared of fit:    14.95 DOF:    108 RMS:  0.09
# Min/Max residuals:    -0.31    0.23
# Exact a, adot, b, bdot, g, gdot:
  1.745694E-05  2.592975E-02 -1.867345E-06 -2.178478E-03  2.555936E-02 -3.144504E-03
# Covariance matrix:
  6.0677E-14 -1.4837E-14  1.4221E-15  8.7853E-16  7.7598E-14 -4.3924E-14
 -1.4837E-14  3.0198E-14  1.3542E-15 -2.3260E-15  2.2067E-14  1.6009E-13
  1.4221E-15  1.3542E-15  4.2731E-14 -8.4853E-15  9.9313E-15  7.8595E-15
  8.7853E-16 -2.3260E-15 -8.4853E-15  4.3537E-15 -4.5161E-16 -1.4370E-14
  7.7598E-14  2.2067E-14  9.9313E-15 -4.5161E-16  4.3397E-13  1.1380E-13
 -4.3924E-14  1.6009E-13  7.8595E-15 -1.4370E-14  1.1380E-13  9.8473E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   12.673789  -32.157553   -0.222050    0.216212   -0.961098  2456538.703926
# Heliocentric elements and errors
Epoch:              2456538.5000  =  2013/09/03
Mean Anomaly:          305.97380 +/-     0.023
Argument of Peri:      178.75733 +/-     0.031
Long of Asc Node:      216.38989 +/-     0.001
Inclination:            13.28312 +/-     0.000
Eccentricity:         0.13251745 +/-    0.0001
Semi-Major Axis:     42.87058142 +/-    0.0048
Time of Perihelion: 2471924.9858 +/-      16.0
Perihelion:          37.18948125 +/-    0.0048
Aphelion:            48.55168158 +/-    0.0059
Period (y)              280.7031 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           33.26768408 +/-    0.0008
Ecliptic Y          -20.64995766 +/-    0.0005
Ecliptic Z            8.58385976 +/-    0.0002
Ecliptic XDOT         0.00123728 +/-    0.0000
Ecliptic YDOT         0.00249798 +/-    0.0000
Ecliptic ZDOT        -0.00030143 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.08550938 +/-    0.0007
Geocenter to KBO     39.12471823 +/-    0.0010
# Hcoef:  7.09

The following table shows the complete astrometric record for 13RP98. 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 (13RP98) followed by the observatory code and reference code for the source of the astrometry.

2013 09  03.203148 21 42 44.92   -00 18 05.5   23.5g 13RP98    W84  C~2BnN      
2013 09  03.20315  21 42 44.937  -00 18 05.65  23.7g 13RP98    W84  C~4yQm      
2013 09  03.20315  21 42 44.94   -00 18 05.6   23.9g 13RP98    W84  C~3cl6      
2013 09  05.051574 21 42 36.81   -00 19 01.2   23.4g 13RP98    W84  C~352B      
2013 09  05.05210  21 42 36.811  -00 19 01.24  23.5g 13RP98    W84  C~4yQm      
2013 09  10.19465  21 42 14.735  -00 21 39.61  23.3r 13RP98    W84  C~4yQm      
2013 09  10.19465  21 42 14.74   -00 21 39.6   23.4r 13RP98    W84  C~3cl6      
2013 09  10.194653 21 42 14.74   -00 21 39.5   23.2r 13RP98    W84  C~2BnN      
2013 09  10.196030 21 42 14.73   -00 21 39.5   22.8i 13RP98    W84  C~2BnN      
2013 09  10.19603  21 42 14.73   -00 21 39.7   23.2i 13RP98    W84  C~3cl6      
2013 09  10.19603  21 42 14.733  -00 21 39.68  23.0i 13RP98    W84  C~4yQm      
2013 09  11.20192  21 42 10.541  -00 22 10.90  23.0r 13RP98    W84  C~4yQm      
2013 09  11.20192  21 42 10.54   -00 22 10.9   23.1r 13RP98    W84  C~3cl6      
2013 09  11.201921 21 42 10.54   -00 22 10.7   22.8r 13RP98    W84  C~2BnN      
2013 09  11.203299 21 42 10.54   -00 22 10.9   22.6i 13RP98    W84  C~2BnN      
2013 09  11.20331  21 42 10.538  -00 22 11.06  22.7i 13RP98    W84  C~4yQm      
2013 09  11.20331  21 42 10.54   -00 22 11.1   22.9i 13RP98    W84  C~3cl6      
2013 09  12.17802  21 42 06.531  -00 22 41.41  23.1g 13RP98    W84  C~4yQm      
2013 09  13.137616 21 42 02.60   -00 23 11.4   22.8i 13RP98    W84  C~2BnN      
2013 09  13.13762  21 42 02.601  -00 23 11.56  23.3i 13RP98    W84  C~4yQm      
2013 09  13.13762  21 42 02.60   -00 23 11.6   23.3i 13RP98    W84  C~3cl6      
2013 09  13.13902  21 42 02.601  -00 23 11.56  22.9z 13RP98    W84  C~4yQm      
2013 09  13.13902  21 42 02.60   -00 23 11.6   22.9z 13RP98    W84  C~3cl6      
2013 09  24.042488 21 41 21.37   -00 28 56.2   23.4g 13RP98    W84  C~2BnN      
2013 09  24.04249  21 41 21.381  -00 28 56.32  23.5g 13RP98    W84  C~4yQm      
2013 09  24.04249  21 41 21.38   -00 28 56.3   23.5g 13RP98    W84  C~3cl6      
2013 10  10.080683 21 40 34.40   -00 37 11.8   23.1r 13RP98    W84  C~2BnN      
2013 10  10.08069  21 40 34.401  -00 37 11.91  23.2r 13RP98    W84  C~4yQm      
2013 10  10.08069  21 40 34.40   -00 37 11.9   23.3r 13RP98    W84  C~3cl6      
2013 10  11.070324 21 40 32.14   -00 37 41.1   22.4z 13RP98    W84  C~2BnN      
2013 10  11.07033  21 40 32.137  -00 37 41.21  22.8z 13RP98    W84  C~4yQm      
2013 10  11.07033  21 40 32.14   -00 37 41.2   23.0z 13RP98    W84  C~3cl6      
2016 08  23.251331 22 00 59.53   +00 56 30.4   22.4z 13RP98    W84  C~352B      
2016 08  31.250324 22 00 22.24   +00 52 39.7   23.1i 13RP98    W84  C~2BnN      
2016 08  31.25033  22 00 22.249  +00 52 39.58  22.9i 13RP98    W84  C~4yQm      
2016 08  31.25033  22 00 22.25   +00 52 39.6   23.1i 13RP98    W84  C~3cl6      
2016 09  03.220475 22 00 08.63   +00 51 09.6   23.2r 13RP98    W84  C~2BnN      
2016 09  03.22048  22 00 08.627  +00 51 09.49  23.0r 13RP98    W84  C~4yQm      
2016 09  03.22048  22 00 08.63   +00 51 09.5   23.1r 13RP98    W84  C~3cl6      
2016 09  03.22185  22 00 08.618  +00 51 09.54  23.5g 13RP98    W84  C~4yQm      
2016 09  26.08124  21 58 33.76   +00 38 52.6   22.5r 13RP98    W84  C~3cl6      
2016 09  26.082616 21 58 33.74   +00 38 52.7   22.8g 13RP98    W84  C~2BnN      
2016 09  26.08262  21 58 33.75   +00 38 52.7   22.8g 13RP98    W84  C~3cl6      
2017 08  19.21370  22 07 12.692  +01 21 47.24  22.9r 13RP98    W84  C~4yQm      
2017 10  21.04892  22 03 14.321  +00 49 02.54  23.0i 13RP98    W84  C~4yQm      
2017 10  22.04499  22 03 12.446  +00 48 33.71  24.0g 13RP98    W84  C~4yQm      
2017 10  22.04636  22 03 12.451  +00 48 33.77  23.3r 13RP98    W84  C~4yQm      
2018 09  17.20809  22 10 56.773  +01 30 44.06  22.3z 13RP98    W84  C~4yQm      
2018 09  17.20946  22 10 56.768  +01 30 43.99  22.9i 13RP98    W84  C~4yQm      
2018 09  17.21084  22 10 56.768  +01 30 43.93  22.6r 13RP98    W84  C~4yQm      
2018 11  08.04273  22 08 43.509  +01 04 21.89  23.7g 13RP98    W84  C~4yQm      
2018 11  26.03137  22 08 51.740  +00 58 49.33  23.2z 13RP98    W84  C~4yQm      
2019 09  04.213540 22 17 53.584  +02 01 26.03  23.0G 13RP98    G37  C~3cl6      
2019 09  04.285560 22 17 53.245  +02 01 23.82        13RP98    G37  C~3cl6      
2021 09  12.172950 22 29 18.002  +02 44 23.69  23.0G 13RP98    G37  C~55NY      
2021 09  12.228730 22 29 17.742  +02 44 21.62        13RP98    G37  C~55NY      
2021 09  12.287600 22 29 17.472  +02 44 19.81        13RP98    G37  C~55NY      

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    -0.31       0.00     0.00
     2   0.0000      0.00    -0.01       0.00    -0.10
     3   0.0000      0.00    -0.06       0.00    -0.15
     4   0.0051      0.00     0.10       0.00     0.14
     5   0.0051      0.00     0.15       0.00     0.12
     6   0.0191      0.00     0.01       0.00    -0.05
     7   0.0191      0.00    -0.07       0.00    -0.06
     8   0.0191      0.00     0.01       0.00     0.05
     9   0.0191      0.00    -0.05       0.00    -0.11
    10   0.0191      0.00    -0.01       0.00    -0.09
    11   0.0191      0.00    -0.05       0.00     0.09
    12   0.0219      0.00    -0.02       0.00     0.03
    13   0.0219      0.00    -0.00       0.00     0.03
    14   0.0219      0.00    -0.02       0.00     0.23
    15   0.0219      0.00     0.07       0.00     0.07
    16   0.0219      0.00     0.07       0.00    -0.13
    17   0.0219      0.00     0.04       0.00    -0.09
    18   0.0246      0.00     0.21       0.00     0.02
    19   0.0272      0.00    -0.05       0.00     0.11
    20   0.0272      0.00    -0.05       0.00    -0.09
    21   0.0272      0.00    -0.04       0.00    -0.05
    22   0.0272      0.00     0.04       0.00    -0.05
    23   0.0272      0.00     0.05       0.00    -0.01
    24   0.0571      0.00    -0.12       0.00     0.05
    25   0.0571      0.00     0.03       0.00    -0.05
    26   0.0571      0.00     0.04       0.00    -0.07
    27   0.1010      0.00     0.03       0.00     0.03
    28   0.1010      0.00     0.03       0.00    -0.07
    29   0.1010      0.00     0.05       0.00    -0.08
    30   0.1037      0.00     0.08       0.00     0.00
    31   0.1037      0.00     0.03       0.00    -0.11
    32   0.1037      0.00     0.08       0.00    -0.10
    33   2.9707      0.00    -0.18       0.00     0.10
    34   2.9926      0.00    -0.03       0.00     0.19
    35   2.9926      0.00     0.12       0.00     0.09
    36   2.9926      0.00     0.11       0.00     0.07
    37   3.0007      0.00     0.05       0.00     0.18
    38   3.0007      0.00     0.05       0.00     0.08
    39   3.0007      0.00     0.00       0.00     0.07
    40   3.0007      0.00    -0.04       0.00     0.16
    41   3.0633      0.00     0.05       0.00     0.01
    42   3.0633      0.00    -0.18       0.00     0.15
    43   3.0633      0.00    -0.03       0.00     0.15
    44   3.9590      0.00    -0.00       0.00    -0.08
    45   4.1310      0.00     0.09       0.00    -0.14
    46   4.1337      0.00    -0.15       0.00    -0.07
    47   4.1337      0.00    -0.03       0.00     0.03
    48   5.0377      0.00    -0.03       0.00    -0.08
    49   5.0377      0.00    -0.02       0.00    -0.10
    50   5.0377      0.00     0.07       0.00    -0.12
    51   5.1796      0.00     0.14       0.00    -0.01
    52   5.2288      0.00    -0.00       0.00     0.00
    53   6.0014      0.00    -0.04       0.00    -0.07
    54   6.0016      0.00    -0.03       0.00    -0.05
    55   8.0246      0.00     0.02       0.00     0.10
    56   8.0247      0.00    -0.02       0.00    -0.13
    57   8.0249      0.00     0.01       0.00     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.

13RP98    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        43.053    43.053    43.054
ecceobj         0.135     0.135     0.135
incobj         13.285    13.285    13.285
qmin           36.095    36.121    36.126
qmax           50.346    50.311    50.299
amean          43.019    43.019    43.019
amin           42.645    42.652    42.652
amax           43.427    43.416    43.412
emean           0.142     0.142     0.142
emin            0.126     0.126     0.126
emax            0.160     0.160     0.159
imean          14.379    14.379    14.379
imin           13.612    13.613    13.617
imax           15.159    15.162    15.169
excite_mean     0.286     0.286     0.286
fracstop        1.000     1.000     1.000
cjmean          2.992     2.992     2.992

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       182.5     182.5     182.4
kozaiamp        180.0     179.9     180.0