Orbit Fit and Astrometric record for 13RB98

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: 13RB98    
# Created Fri Dec  3 02:11:45 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     76 observations of     76
# Arc:   5.25y
# First observation: 2013/09/01
#  Last observation: 2018/12/01
# Chi-squared of fit:    46.51 DOF:    146 RMS:  0.14
# Min/Max residuals:    -0.42    0.30
# Exact a, adot, b, bdot, g, gdot:
  1.385109E-05  2.218026E-02 -2.953179E-06 -3.622177E-03  2.396666E-02 -5.503080E-03
# Covariance matrix:
  5.5864E-14 -2.1275E-14 -1.1010E-15  3.2998E-15  2.0161E-14 -1.7327E-13
 -2.1275E-14  1.2626E-13  1.5694E-14 -2.4598E-14  9.9889E-14  1.3318E-12
 -1.1010E-15  1.5694E-14  3.8379E-14 -1.5651E-14  1.3478E-14  1.7762E-13
  3.2998E-15 -2.4598E-14 -1.5651E-14  1.4071E-14 -1.8815E-14 -2.8440E-13
  2.0161E-14  9.9889E-14  1.3478E-14 -1.8815E-14  1.2564E-13  1.0266E-12
 -1.7327E-13  1.3318E-12  1.7762E-13 -2.8440E-13  1.0266E-12  1.5377E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -20.087379   31.549228    0.806379   -0.209013   -0.571771  2456536.693967
# Heliocentric elements and errors
Epoch:              2456536.5000  =  2013/09/01
Mean Anomaly:          285.19394 +/-     0.021
Argument of Peri:      349.58713 +/-     0.010
Long of Asc Node:      147.10977 +/-     0.001
Inclination:            21.95219 +/-     0.000
Eccentricity:         0.25851772 +/-    0.0002
Semi-Major Axis:     42.37878714 +/-    0.0043
Time of Perihelion: 2477475.4793 +/-      13.6
Perihelion:          31.42311979 +/-    0.0076
Aphelion:            53.33445448 +/-    0.0088
Period (y)              275.8868 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           34.33453646 +/-    0.0005
Ecliptic Y           20.13789261 +/-    0.0003
Ecliptic Z          -14.33055953 +/-    0.0002
Ecliptic XDOT        -0.00195619 +/-    0.0000
Ecliptic YDOT         0.00177490 +/-    0.0000
Ecliptic ZDOT        -0.00017256 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.30572014 +/-    0.0004
Geocenter to KBO     41.72479618 +/-    0.0006
# Hcoef:  6.51

The following table shows the complete astrometric record for 13RB98. 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 (13RB98) followed by the observatory code and reference code for the source of the astrometry.

2013 09  01.193189 02 25 07.02   -06 52 17.4   23.5g 13RB98    W84  C~18eE      
2013 09  01.195428 02 25 06.99   -06 52 17.7   22.5r 13RB98    W84  C~18eE      
2013 09  01.199039 02 25 06.99   -06 52 17.8   22.3i 13RB98    W84  C~18eE      
2013 09  01.202847 02 25 06.99   -06 52 18.0   21.6z 13RB98    W84  C~18eE      
2013 09  08.210816 02 24 51.66   -06 56 38.5   23.7g 13RB98    W84  C~18eE      
2013 09  08.213044 02 24 51.65   -06 56 38.7   22.7r 13RB98    W84  C~18eE      
2013 09  08.215417 02 24 51.65   -06 56 38.6   22.4i 13RB98    W84  C~18eE      
2013 09  08.219236 02 24 51.63   -06 56 38.8   22.3z 13RB98    W84  C~18eE      
2013 09  12.202130 02 24 41.25   -06 59 08.4   23.4r 13RB98    W84  C~18eE      
2013 09  12.204502 02 24 41.25   -06 59 08.5   22.7i 13RB98    W84  C~18eE      
2013 09  12.208322 02 24 41.25   -06 59 08.3   22.2z 13RB98    W84  C~18eE      
2013 09  16.280787 02 24 29.45   -07 01 41.4   22.2i 13RB98    W84  C~18eE      
2013 09  16.284595 02 24 29.43   -07 01 41.3   22.1z 13RB98    W84  C~18eE      
2013 09  23.314618 02 24 06.54   -07 06 02.5   22.9i 13RB98    W84  C~18eE      
2013 09  23.318414 02 24 06.53   -07 06 02.7   22.8z 13RB98    W84  C~18eE      
2013 09  28.155839 02 23 49.08   -07 08 59.1   23.6g 13RB98    W84  C~18eE      
2013 09  28.158032 02 23 49.05   -07 08 59.0   22.5r 13RB98    W84  C~18eE      
2013 09  28.160417 02 23 49.04   -07 08 59.0   22.3i 13RB98    W84  C~18eE      
2013 09  28.164259 02 23 49.03   -07 08 59.4   22.1z 13RB98    W84  C~18eE      
2013 10  02.144763 02 23 33.71   -07 11 20.7   23.9g 13RB98    W84  C~18eE      
2013 10  02.146979 02 23 33.70   -07 11 21.0   23.1r 13RB98    W84  C~18eE      
2013 10  02.149340 02 23 33.71   -07 11 21.2   22.7i 13RB98    W84  C~18eE      
2013 10  02.153148 02 23 33.69   -07 11 21.0   23.1z 13RB98    W84  C~18eE      
2013 10  11.22741  02 22 56.080  -07 16 28.72  22.7r 13RB98    W84  C~4yQm      
2013 10  11.22741  02 22 56.08   -07 16 28.7   22.8r 13RB98    W84  C~3cl6      
2013 10  11.22879  02 22 56.081  -07 16 28.70  22.6i 13RB98    W84  C~4yQm      
2013 10  11.22879  02 22 56.08   -07 16 28.7   22.6i 13RB98    W84  C~3cl6      
2014 09  15.31092  02 29 41.933  -06 46 28.52  22.3z 13RB98    W84  C~4yQm      
2014 09  15.31092  02 29 41.93   -06 46 28.5   22.6z 13RB98    W84  C~3cl6      
2014 09  30.26875  02 28 51.625  -06 55 41.41  22.9g 13RB98    W84  C~4yQm      
2014 09  30.26875  02 28 51.63   -06 55 41.4   23.2g 13RB98    W84  C~3cl6      
2014 09  30.27013  02 28 51.620  -06 55 41.51  21.7i 13RB98    W84  C~4yQm      
2014 09  30.27013  02 28 51.63   -06 55 41.5   22.0i 13RB98    W84  C~3cl6      
2014 10  01.38163  02 28 47.359  -06 56 21.29  22.5i 13RB98    W84  C~4yQm      
2014 10  01.38163  02 28 47.36   -06 56 21.3   22.6i 13RB98    W84  C~3cl6      
2014 10  21.32835  02 27 22.195  -07 07 10.46  23.1g 13RB98    W84  C~4yQm      
2014 10  22.33783  02 27 17.56   -07 07 39.7   23.0R 13RB98    G37  C~1IXn      
2014 10  22.42543  02 27 17.15   -07 07 42.1         13RB98    G37  C~1IXn      
2014 10  29.30557  02 26 45.197  -07 10 45.07  22.5r 13RB98    W84  C~4yQm      
2014 10  29.30557  02 26 45.20   -07 10 45.1   22.5r 13RB98    W84  C~3cl6      
2014 12  10.228808 02 23 45.44   -07 18 52.3   23.0r 13RB98    W84  C~1IXn      
2014 12  10.231204 02 23 45.45   -07 18 52.3   22.4i 13RB98    W84  C~1IXn      
2014 12  10.233877 02 23 45.44   -07 18 52.4   22.2z 13RB98    W84  C~1IXn      
2014 12  14.073038 02 23 32.86   -07 18 35.9   23.5g 13RB98    W84  C~1IXn      
2014 12  14.075243 02 23 32.87   -07 18 35.9   23.0r 13RB98    W84  C~1IXn      
2014 12  14.077593 02 23 32.85   -07 18 36.0   22.0i 13RB98    W84  C~1IXn      
2014 12  14.080231 02 23 32.83   -07 18 35.8   22.2z 13RB98    W84  C~1IXn      
2015 01  11.040642 02 22 35.33   -07 11 28.7   23.8g 13RB98    W84  C~1IXn      
2015 01  11.042847 02 22 35.33   -07 11 28.6   23.3r 13RB98    W84  C~1IXn      
2015 01  11.045208 02 22 35.34   -07 11 28.5   22.9i 13RB98    W84  C~1IXn      
2015 01  11.047859 02 22 35.33   -07 11 28.3   22.4z 13RB98    W84  C~1IXn      
2015 01  18.050347 02 22 31.64   -07 08 24.6   22.8r 13RB98    W84  C~1IXn      
2015 01  18.052697 02 22 31.64   -07 08 24.6   22.7i 13RB98    W84  C~1IXn      
2015 01  18.055336 02 22 31.64   -07 08 24.5   22.5z 13RB98    W84  C~1IXn      
2015 01  23.048924 02 22 31.84   -07 05 57.5   22.9r 13RB98    W84  C~1IXn      
2015 01  23.051285 02 22 31.82   -07 05 57.6   23.0i 13RB98    W84  C~1IXn      
2015 01  23.055093 02 22 31.81   -07 05 57.5   22.3z 13RB98    W84  C~1IXn      
2015 01  30.038009 02 22 36.08   -07 02 11.9   23.2r 13RB98    W84  C~1IXn      
2015 01  30.040347 02 22 36.08   -07 02 12.0   22.6i 13RB98    W84  C~1IXn      
2015 01  30.044144 02 22 36.10   -07 02 11.6   22.3z 13RB98    W84  C~1IXn      
2016 09  23.26942  02 39 43.014  -06 21 49.87  22.1i 13RB98    W84  C~4yQm      
2016 09  23.26942  02 39 43.01   -06 21 49.8   22.8i 13RB98    W84  C~3cl6      
2016 09  24.28762  02 39 39.591  -06 22 27.50  23.0r 13RB98    W84  C~4yQm      
2016 10  22.20749  02 37 45.200  -06 38 09.51  22.0i 13RB98    W84  C~4yQm      
2016 10  22.20749  02 37 45.20   -06 38 09.5   22.2i 13RB98    W84  C~3cl6      
2016 10  22.20888  02 37 45.197  -06 38 09.60  21.8z 13RB98    W84  C~4yQm      
2016 10  22.20888  02 37 45.20   -06 38 09.6   22.0z 13RB98    W84  C~3cl6      
2016 10  25.22033  02 37 31.20   -06 39 34.1   23.3g 13RB98    W84  C~3cl6      
2017 10  17.29571  02 43 28.309  -06 20 08.44  24.4g 13RB98    W84  C~4yQm      
2017 11  29.16607  02 40 08.952  -06 34 19.21  21.9z 13RB98    W84  C~4yQm      
2017 12  15.07582  02 39 07.354  -06 34 23.76  22.9i 13RB98    W84  C~4yQm      
2017 12  15.07719  02 39 07.361  -06 34 23.90  22.6r 13RB98    W84  C~4yQm      
2017 12  15.07857  02 39 07.355  -06 34 23.77  24.3g 13RB98    W84  C~4yQm      
2018 11  17.19278  02 46 26.417  -06 16 30.72  21.7i 13RB98    W84  C~4yQm      
2018 11  29.21506  02 45 31.464  -06 18 40.67  23.0r 13RB98    W84  C~4yQm      
2018 12  01.17407  02 45 22.973  -06 18 52.24  23.3g 13RB98    W84  C~4yQm      

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     0.11       0.00     0.16
     2   0.0000      0.00    -0.27       0.00    -0.05
     3   0.0000      0.00    -0.17       0.00    -0.02
     4   0.0000      0.00    -0.05       0.00    -0.08
     5   0.0192      0.00     0.05       0.00    -0.03
     6   0.0192      0.00    -0.01       0.00    -0.15
     7   0.0192      0.00     0.07       0.00     0.04
     8   0.0192      0.00    -0.08       0.00    -0.02
     9   0.0301      0.00    -0.06       0.00    -0.20
    10   0.0301      0.00     0.04       0.00    -0.21
    11   0.0302      0.00     0.20       0.00     0.13
    12   0.0413      0.00    -0.01       0.00    -0.22
    13   0.0413      0.00    -0.14       0.00     0.03
    14   0.0606      0.00     0.01       0.00     0.11
    15   0.0606      0.00     0.06       0.00     0.05
    16   0.0738      0.00     0.26       0.00    -0.12
    17   0.0738      0.00    -0.07       0.00     0.06
    18   0.0738      0.00    -0.08       0.00     0.15
    19   0.0738      0.00    -0.01       0.00    -0.11
    20   0.0847      0.00    -0.02       0.00     0.28
    21   0.0847      0.00    -0.04       0.00     0.06
    22   0.0848      0.00     0.26       0.00    -0.06
    23   0.0848      0.00     0.19       0.00     0.27
    24   0.1096      0.00     0.08       0.00    -0.12
    25   0.1096      0.00     0.08       0.00    -0.14
    26   0.1096      0.00     0.17       0.00    -0.07
    27   0.1096      0.00     0.18       0.00    -0.07
    28   1.0380      0.00    -0.11       0.00    -0.08
    29   1.0380      0.00    -0.07       0.00    -0.10
    30   1.0789      0.00    -0.02       0.00     0.00
    31   1.0789      0.00    -0.09       0.00    -0.01
    32   1.0789      0.00     0.06       0.00    -0.05
    33   1.0789      0.00    -0.09       0.00    -0.06
    34   1.0820      0.00     0.05       0.00    -0.15
    35   1.0820      0.00     0.04       0.00    -0.14
    36   1.1366      0.00     0.03       0.00     0.30
    37   1.1393      0.00    -0.14       0.00     0.12
    38   1.1396      0.00    -0.16       0.00     0.19
    39   1.1584      0.00     0.12       0.00    -0.08
    40   1.1584      0.00     0.07       0.00    -0.05
    41   1.2732      0.00    -0.42       0.00     0.28
    42   1.2732      0.00    -0.14       0.00     0.27
    43   1.2732      0.00    -0.15       0.00     0.16
    44   1.2837      0.00    -0.06       0.00     0.22
    45   1.2837      0.00     0.19       0.00     0.21
    46   1.2837      0.00     0.01       0.00     0.10
    47   1.2837      0.00    -0.17       0.00     0.28
    48   1.3603      0.00    -0.11       0.00    -0.14
    49   1.3603      0.00    -0.08       0.00    -0.10
    50   1.3603      0.00     0.11       0.00    -0.06
    51   1.3603      0.00    -0.01       0.00     0.08
    52   1.3795      0.00     0.03       0.00     0.04
    53   1.3795      0.00     0.04       0.00    -0.02
    54   1.3795      0.00     0.05       0.00     0.00
    55   1.3932      0.00     0.14       0.00    -0.02
    56   1.3932      0.00    -0.17       0.00    -0.19
    57   1.3932      0.00    -0.33       0.00    -0.21
    58   1.4123      0.00    -0.06       0.00     0.02
    59   1.4123      0.00    -0.09       0.00    -0.16
    60   1.4123      0.00     0.16       0.00     0.11
    61   3.0611      0.00     0.12       0.00    -0.17
    62   3.0611      0.00     0.18       0.00    -0.24
    63   3.0639      0.00    -0.03       0.00     0.00
    64   3.1404      0.00     0.01       0.00     0.02
    65   3.1404      0.00     0.01       0.00     0.01
    66   3.1404      0.00     0.11       0.00    -0.04
    67   3.1404      0.00     0.06       0.00    -0.04
    68   3.1486      0.00     0.16       0.00     0.10
    69   4.1262      0.00    -0.25       0.00    -0.14
    70   4.2436      0.00     0.03       0.00     0.04
    71   4.2872      0.00     0.09       0.00     0.12
    72   4.2872      0.00     0.27       0.00    -0.03
    73   4.2872      0.00     0.25       0.00     0.09
    74   5.2101      0.00    -0.35       0.00    -0.11
    75   5.2430      0.00     0.05       0.00     0.06
    76   5.2484      0.00     0.01       0.00     0.07

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.

13RB98    quality flag:2

Type:          5:3EE  SCATNEAR     5:3EE
Type:          5:3II               5:3II

axisobj        42.527    42.527    42.527
ecceobj         0.255     0.255     0.255
incobj         21.916    21.916    21.916
qmin           30.451    30.884    30.884
qmax           54.938    54.430    54.433
amean          42.325    42.324    42.326
amin           41.860    41.875    41.854
amax           42.863    42.851    42.863
emean           0.231     0.167     0.193
emin            0.147     0.072     0.118
emax            0.282     0.271     0.271
imean          21.684    23.350    22.771
imin           20.336    20.412    20.412
imax           23.830    25.336    24.734
excite_mean     0.438     0.434     0.436
fracstop        1.000     1.000     1.000
cjmean          2.853     2.853     2.853

libcent 0       180.7    -180.0     181.2
libamp  0       111.2    -180.0     122.6
libcent 1       180.2    -180.0     185.7
libamp  1       150.1    -180.0     148.0
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       164.6     112.3     188.3
kozaiamp        180.0     180.0     180.0