Orbit Fit and Astrometric record for 13RR98

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: 13RR98    
# Created Thu Dec  9 02:11:42 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     80 observations of     80
# Arc:   5.23y
# First observation: 2013/09/13
#  Last observation: 2018/12/07
# Chi-squared of fit:    60.95 DOF:    154 RMS:  0.15
# Min/Max residuals:    -0.64    0.71
# Exact a, adot, b, bdot, g, gdot:
  1.805392E-05  3.103963E-02 -7.979218E-07 -3.032576E-04  2.721992E-02  3.971286E-03
# Covariance matrix:
  7.6520E-14 -5.4053E-14 -6.0190E-15 -3.2049E-15  2.9508E-14 -3.4795E-13
 -5.4053E-14  8.7016E-14 -4.6366E-15  5.6459E-15  9.6186E-15  6.9035E-13
 -6.0190E-15 -4.6366E-15  5.5659E-14 -1.6451E-14 -2.9070E-14 -2.9047E-14
 -3.2049E-15  5.6459E-15 -1.6451E-14  9.7193E-15 -9.5131E-16  5.0846E-14
  2.9508E-14  9.6186E-15 -2.9070E-14 -9.5131E-16  1.1904E-13  3.5250E-14
 -3.4795E-13  6.9035E-13 -2.9047E-14  5.0846E-14  3.5250E-14  6.1527E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -38.670101  -28.839227   -0.330216   -0.594273   -0.742726  2456548.760813
# Heliocentric elements and errors
Epoch:              2456548.5000  =  2013/09/13
Mean Anomaly:           19.89966 +/-     0.007
Argument of Peri:      233.49181 +/-     0.015
Long of Asc Node:       62.35263 +/-     0.000
Inclination:            37.76256 +/-     0.000
Eccentricity:         0.28321572 +/-    0.0001
Semi-Major Axis:     50.08353858 +/-    0.0048
Time of Perihelion: 2449392.2743 +/-       2.9
Perihelion:          35.89909313 +/-    0.0054
Aphelion:            64.26798403 +/-    0.0074
Period (y)              354.4465 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           26.11839665 +/-    0.0003
Ecliptic Y          -14.00198341 +/-    0.0002
Ecliptic Z          -22.95512065 +/-    0.0003
Ecliptic XDOT         0.00175625 +/-    0.0000
Ecliptic YDOT         0.00259242 +/-    0.0000
Ecliptic ZDOT        -0.00027326 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.48542447 +/-    0.0003
Geocenter to KBO     36.73776150 +/-    0.0005
# Hcoef:  7.06

The following table shows the complete astrometric record for 13RR98. 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 (13RR98) followed by the observatory code and reference code for the source of the astrometry.

2013 09  13.260035 23 27 43.05   -46 18 33.2   23.7g 13RR98    W84  C~2Gib      
2013 09  13.26004  23 27 43.069  -46 18 33.31  23.9g 13RR98    W84  C~4yQm      
2013 09  13.26004  23 27 43.07   -46 18 33.3   23.8g 13RR98    W84  C~3cl6      
2013 09  24.107975 23 26 27.13   -46 20 49.5   23.9g 13RR98    W84  C~2Gib      
2013 09  24.10798  23 26 27.137  -46 20 49.73  23.8g 13RR98    W84  C~4yQm      
2013 09  24.10798  23 26 27.14   -46 20 49.7   23.9g 13RR98    W84  C~3cl6      
2013 09  29.06135  23 25 53.367  -46 21 05.29  23.5g 13RR98    W84  C~4yQm      
2013 09  29.06135  23 25 53.37   -46 21 05.3   23.9g 13RR98    W84  C~3cl6      
2013 10  12.21998  23 24 29.320  -46 19 19.10  22.0z 13RR98    W84  C~4yQm      
2013 10  12.21998  23 24 29.32   -46 19 19.1   22.1z 13RR98    W84  C~3cl6      
2013 11  08.06010  23 22 23.131  -46 05 03.80  22.6i 13RR98    W84  C~4yQm      
2013 11  08.06010  23 22 23.13   -46 05 03.8   22.7i 13RR98    W84  C~3cl6      
2013 11  08.06149  23 22 23.12   -46 05 03.6   22.5z 13RR98    W84  C~3cl6      
2013 11  15.123843 23 22 03.65   -45 59 10.6   22.3z 13RR98    W84  C~352B      
2013 11  15.124363 23 22 03.65   -45 59 10.4   22.3z 13RR98    W84  C~2Gib      
2013 11  15.12437  23 22 03.653  -45 59 10.57  22.6z 13RR98    W84  C~4yQm      
2013 12  07.09795  23 21 46.997  -45 36 29.51  24.0g 13RR98    W84  C~4yQm      
2013 12  07.09795  23 21 47.00   -45 36 29.5   24.2g 13RR98    W84  C~3cl6      
2013 12  12.08898  23 21 52.871  -45 30 38.02  22.8z 13RR98    W84  C~4yQm      
2013 12  12.08898  23 21 52.87   -45 30 38.0   22.8z 13RR98    W84  C~3cl6      
2013 12  13.085845 23 21 54.47   -45 29 26.1   22.4z 13RR98    W84  C~2Gib      
2013 12  13.08586  23 21 54.476  -45 29 26.49  22.4z 13RR98    W84  C~4yQn      
2013 12  13.08586  23 21 54.48   -45 29 26.5   22.4z 13RR98    W84  C~3cl6      
2014 09  04.206597 23 37 32.04   -45 20 40.0   22.5i 13RR98    W84  C~2Gib      
2014 09  04.20660  23 37 32.067  -45 20 40.20  22.6i 13RR98    W84  C~4yQn      
2014 09  04.20660  23 37 32.07   -45 20 40.2   22.7i 13RR98    W84  C~3cl6      
2014 09  12.197477 23 36 37.45   -45 24 16.0   22.0z 13RR98    W84  C~352B      
2014 09  12.197998 23 36 37.43   -45 24 15.9   22.0z 13RR98    W84  C~2Gib      
2014 09  12.19801  23 36 37.453  -45 24 16.00  22.4z 13RR98    W84  C~4yQn      
2014 09  24.163218 23 35 14.69   -45 27 26.4   22.4i 13RR98    W84  C~2Gib      
2014 09  24.16323  23 35 14.713  -45 27 26.65  22.8i 13RR98    W84  C~4yQn      
2014 09  24.16323  23 35 14.71   -45 27 26.7   22.8i 13RR98    W84  C~3cl6      
2014 09  30.14273  23 34 34.175  -45 27 58.38  23.0r 13RR98    W84  C~4yQn      
2014 09  30.14273  23 34 34.17   -45 27 58.4   23.1r 13RR98    W84  C~3cl6      
2014 09  30.142731 23 34 34.16   -45 27 58.1   22.8r 13RR98    W84  C~2Gib      
2014 11  14.165602 23 30 46.69   -45 09 00.6   22.8i 13RR98    W84  C~352B      
2014 11  14.166123 23 30 46.69   -45 09 00.6   22.8i 13RR98    W84  C~2Gib      
2014 11  14.16613  23 30 46.695  -45 09 00.72  23.1i 13RR98    W84  C~4yQn      
2015 08  18.261169 23 47 39.85   -44 12 56.3   22.8r 13RR98    W84  C~352B      
2015 08  18.261690 23 47 39.85   -44 12 56.3   22.8r 13RR98    W84  C~2Gib      
2015 08  18.26169  23 47 39.861  -44 12 56.47  22.8r 13RR98    W84  C~4yQn      
2015 08  21.273981 23 47 22.68   -44 15 16.6   22.5i 13RR98    W84  C~352B      
2015 08  21.27451  23 47 22.707  -44 15 16.45  22.6i 13RR98    W84  C~4yQn      
2015 08  21.276701 23 47 22.74   -44 15 16.3   23.4g 13RR98    W84  C~352B      
2015 10  17.099132 23 41 14.72   -44 31 12.3   22.6i 13RR98    W84  C~2Gib      
2015 10  17.09914  23 41 14.723  -44 31 12.41  22.9i 13RR98    W84  C~4yQn      
2015 10  17.09914  23 41 14.72   -44 31 12.4   22.9i 13RR98    W84  C~3cl6      
2015 10  17.10051  23 41 14.702  -44 31 12.46  24.1g 13RR98    W84  C~4yQn      
2015 10  18.09221  23 41 08.991  -44 30 55.55  22.7z 13RR98    W84  C~4yQn      
2015 10  18.093576 23 41 08.97   -44 30 55.5   22.9r 13RR98    W84  C~2Gib      
2015 10  18.09358  23 41 08.980  -44 30 55.76  23.1r 13RR98    W84  C~4yQn      
2015 10  18.09358  23 41 08.98   -44 30 55.8   23.2r 13RR98    W84  C~3cl6      
2015 10  22.080556 23 40 46.79   -44 29 36.7   22.2z 13RR98    W84  C~352C      
2015 10  22.08108  23 40 46.787  -44 29 36.76  22.6z 13RR98    W84  C~4yQn      
2016 09  30.165984 23 51 01.43   -43 36 03.0   22.8r 13RR98    W84  C~2Gib      
2016 09  30.16599  23 51 01.453  -43 36 03.12  22.9r 13RR98    W84  C~4yQn      
2016 09  30.16599  23 51 01.45   -43 36 03.1   23.0r 13RR98    W84  C~3cl6      
2016 09  30.167361 23 51 01.43   -43 36 02.9   22.6i 13RR98    W84  C~2Gib      
2016 09  30.16737  23 51 01.439  -43 36 03.09  22.2i 13RR98    W84  C~4yQn      
2016 09  30.16737  23 51 01.44   -43 36 03.1   22.4i 13RR98    W84  C~3cl6      
2016 09  30.168727 23 51 01.43   -43 36 03.0   23.8g 13RR98    W84  C~2Gib      
2016 09  30.16873  23 51 01.437  -43 36 03.11  24.0g 13RR98    W84  C~4yQn      
2016 09  30.16873  23 51 01.44   -43 36 03.1   24.1g 13RR98    W84  C~3cl6      
2016 10  22.091794 23 48 47.51   -43 33 22.7   23.0r 13RR98    W84  C~352C      
2016 10  22.092315 23 48 47.51   -43 33 22.7   23.0r 13RR98    W84  C~2Gib      
2016 10  22.09232  23 48 47.456  -43 33 22.73  22.1r 13RR98    W84  C~4yQn      
2016 12  06.10680  23 46 27.843  -42 59 50.07  21.6z 13RR98    W84  C~4yQn      
2016 12  06.10680  23 46 27.84   -42 59 50.1   21.9z 13RR98    W84  C~3cl6      
2016 12  19.065787 23 46 35.04   -42 45 02.2   22.5i 13RR98    W84  C~2Gib      
2016 12  19.06579  23 46 35.044  -42 45 02.39  22.7i 13RR98    W84  C~4yQn      
2016 12  19.06579  23 46 35.04   -42 45 02.4   22.8i 13RR98    W84  C~3cl6      
2017 10  15.26451  23 57 14.085  -42 37 27.12  22.4r 13RR98    W84  C~4yQn      
2017 10  20.09816  23 56 45.954  -42 36 26.77  22.8i 13RR98    W84  C~4yQn      
2017 10  22.08807  23 56 34.807  -42 35 53.75  22.9r 13RR98    W84  C~4yQn      
2017 10  22.08945  23 56 34.806  -42 35 54.03  23.2g 13RR98    W84  C~4yQn      
2017 10  28.11219  23 56 02.858  -42 33 44.53  22.5z 13RR98    W84  C~4yQn      
2017 11  08.10972  23 55 12.689  -42 28 00.41  22.7r 13RR98    W84  C~4yQn      
2017 11  08.11109  23 55 12.681  -42 28 00.31  23.9g 13RR98    W84  C~4yQn      
2018 10  18.22266  00 04 26.380  -41 37 46.08  22.2z 13RR98    W84  C~4yQn      
2018 12  07.03924  00 01 25.280  -41 06 06.49  22.3i 13RR98    W84  C~4yQn      

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     0.11
     2   0.0000      0.00     0.19       0.00    -0.00
     3   0.0000      0.00     0.20       0.00     0.01
     4   0.0297      0.00    -0.26       0.00     0.22
     5   0.0297      0.00    -0.11       0.00     0.02
     6   0.0297      0.00    -0.15       0.00    -0.01
     7   0.0433      0.00     0.18       0.00    -0.13
     8   0.0433      0.00     0.13       0.00    -0.12
     9   0.0793      0.00     0.10       0.00     0.01
    10   0.0793      0.00     0.10       0.00     0.01
    11   0.1528      0.00     0.13       0.00    -0.06
    12   0.1528      0.00     0.14       0.00    -0.06
    13   0.1528      0.00     0.05       0.00     0.07
    14   0.1721      0.00    -0.23       0.00    -0.20
    15   0.1721      0.00    -0.21       0.00    -0.03
    16   0.1721      0.00    -0.17       0.00    -0.20
    17   0.2323      0.00     0.12       0.00     0.03
    18   0.2323      0.00     0.07       0.00     0.02
    19   0.2459      0.00     0.01       0.00    -0.02
    20   0.2459      0.00     0.03       0.00    -0.04
    21   0.2487      0.00    -0.04       0.00     0.32
    22   0.2487      0.00     0.11       0.00    -0.08
    23   0.2487      0.00     0.05       0.00    -0.07
    24   0.9745      0.00    -0.34       0.00     0.17
    25   0.9745      0.00     0.11       0.00    -0.03
    26   0.9745      0.00     0.06       0.00    -0.03
    27   0.9964      0.00     0.17       0.00    -0.07
    28   0.9964      0.00    -0.07       0.00     0.04
    29   0.9964      0.00     0.28       0.00    -0.06
    30   1.0292      0.00    -0.15       0.00     0.24
    31   1.0292      0.00     0.19       0.00    -0.01
    32   1.0292      0.00     0.15       0.00    -0.06
    33   1.0455      0.00    -0.10       0.00    -0.09
    34   1.0455      0.00    -0.03       0.00    -0.07
    35   1.0455      0.00    -0.25       0.00     0.21
    36   1.1688      0.00    -0.13       0.00     0.12
    37   1.1688      0.00    -0.11       0.00     0.10
    38   1.1688      0.00    -0.04       0.00    -0.02
    39   1.9275      0.00    -0.10       0.00     0.06
    40   1.9275      0.00     0.11       0.00    -0.09
    41   1.9275      0.00    -0.06       0.00     0.08
    42   1.9357      0.00    -0.44       0.00    -0.33
    43   1.9357      0.00     0.02       0.00    -0.15
    44   1.9357      0.00     0.71       0.00     0.10
    45   2.0913      0.00     0.11       0.00     0.18
    46   2.0913      0.00     0.11       0.00     0.08
    47   2.0913      0.00     0.16       0.00     0.07
    48   2.0913      0.00    -0.04       0.00    -0.00
    49   2.0940      0.00    -0.03       0.00     0.20
    50   2.0940      0.00    -0.23       0.00     0.22
    51   2.0940      0.00    -0.08       0.00    -0.08
    52   2.0940      0.00    -0.08       0.00    -0.04
    53   2.1049      0.00     0.15       0.00    -0.19
    54   2.1049      0.00     0.15       0.00    -0.26
    55   3.0470      0.00    -0.29       0.00     0.09
    56   3.0470      0.00     0.01       0.00    -0.01
    57   3.0470      0.00     0.06       0.00    -0.03
    58   3.0470      0.00    -0.15       0.00     0.19
    59   3.0470      0.00     0.00       0.00    -0.01
    60   3.0470      0.00    -0.01       0.00     0.00
    61   3.0470      0.00    -0.01       0.00     0.10
    62   3.0470      0.00     0.14       0.00     0.00
    63   3.0470      0.00     0.09       0.00    -0.01
    64   3.1070      0.00     0.13       0.00     0.19
    65   3.1070      0.00     0.17       0.00     0.18
    66   3.1070      0.00    -0.64       0.00     0.15
    67   3.2302      0.00     0.16       0.00    -0.12
    68   3.2302      0.00     0.20       0.00    -0.09
    69   3.2657      0.00    -0.02       0.00     0.16
    70   3.2657      0.00    -0.02       0.00    -0.04
    71   3.2657      0.00     0.04       0.00    -0.03
    72   4.0876      0.00     0.09       0.00    -0.05
    73   4.1009      0.00     0.04       0.00    -0.03
    74   4.1063      0.00     0.01       0.00    -0.11
    75   4.1063      0.00     0.11       0.00    -0.41
    76   4.1228      0.00    -0.06       0.00    -0.01
    77   4.1529      0.00    -0.11       0.00    -0.01
    78   4.1529      0.00    -0.15       0.00     0.04
    79   5.0950      0.00     0.19       0.00     0.04
    80   5.2314      0.00     0.06       0.00    -0.00

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.

13RR98    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        50.368    50.368    50.368
ecceobj         0.287     0.287     0.287
incobj         37.795    37.795    37.795
qmin           34.950    34.971    34.948
qmax           66.324    66.251    66.257
amean          50.307    50.308    50.311
amin           49.845    49.838    49.850
amax           50.887    50.901    50.884
emean           0.284     0.285     0.285
emin            0.264     0.263     0.264
emax            0.303     0.303     0.303
imean          36.632    36.631    36.629
imin           36.256    36.258    36.250
imax           37.170    37.174    37.174
excite_mean     0.661     0.661     0.661
fracstop        1.000     1.000     1.000
cjmean          2.587     2.587     2.587

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       196.7     197.0     197.3
kozaiamp        180.0     180.0     180.0