Orbit Fit and Astrometric record for 13RQ98

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: 13RQ98    
# Created Mon Dec  6 02:11:44 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     39 observations of     39
# Arc:   5.19y
# First observation: 2013/09/01
#  Last observation: 2018/11/08
# Chi-squared of fit:    17.65 DOF:     72 RMS:  0.12
# Min/Max residuals:    -0.27    0.37
# Exact a, adot, b, bdot, g, gdot:
  1.982946E-05  3.862186E-02  2.355569E-06  4.587201E-03  3.053091E-02  6.195228E-03
# Covariance matrix:
  1.3299E-13 -2.2196E-14 -3.8873E-14 -2.2850E-14  3.2938E-13 -9.3938E-14
 -2.2196E-14  1.6709E-13 -3.3742E-14  1.6580E-14  2.2404E-13  9.4185E-13
 -3.8873E-14 -3.3742E-14  1.2311E-13 -6.5394E-15 -3.1418E-13 -1.3111E-13
 -2.2850E-14  1.6580E-14 -6.5394E-15  2.2410E-14 -1.3131E-13  1.4087E-13
  3.2938E-13  2.2404E-13 -3.1418E-13 -1.3131E-13  2.5715E-12  7.4067E-13
 -9.3938E-14  9.4185E-13 -1.3111E-13  1.4087E-13  7.4067E-13  5.8081E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -37.768365  -67.814338   -0.730613   -0.427404   -0.551748  2456536.587918
# Heliocentric elements and errors
Epoch:              2456536.5000  =  2013/09/01
Mean Anomaly:           13.01738 +/-     0.009
Argument of Peri:      244.94787 +/-     0.015
Long of Asc Node:       11.21693 +/-     0.000
Inclination:            37.69277 +/-     0.000
Eccentricity:         0.43209395 +/-    0.0002
Semi-Major Axis:     55.45377545 +/-    0.0224
Time of Perihelion: 2451082.4849 +/-       5.1
Perihelion:          31.49253473 +/-    0.0166
Aphelion:            79.41501617 +/-    0.0337
Period (y)              412.9570 +/-      0.25
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           10.71734276 +/-    0.0005
Ecliptic Y          -24.34238229 +/-    0.0013
Ecliptic Z          -20.06061133 +/-    0.0010
Ecliptic XDOT         0.00346177 +/-    0.0000
Ecliptic YDOT         0.00066679 +/-    0.0000
Ecliptic ZDOT        -0.00001495 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   33.31415858 +/-    0.0011
Geocenter to KBO     32.75363583 +/-    0.0017
# Hcoef:  7.67

The following table shows the complete astrometric record for 13RQ98. 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 (13RQ98) followed by the observatory code and reference code for the source of the astrometry.

2013 09  01.08714  20 19 35.160  -58 32 58.27  23.2r 13RQ98    W84  C~4yQm      
2013 09  01.08714  20 19 35.16   -58 32 58.3   23.2r 13RQ98    W84  C~3cl6      
2013 09  01.08853  20 19 35.146  -58 32 58.17  22.8i 13RQ98    W84  C~4yQm      
2013 09  01.08853  20 19 35.15   -58 32 58.2   22.9i 13RQ98    W84  C~3cl6      
2013 09  10.00087  20 18 28.794  -58 27 11.75  23.8g 13RQ98    W84  C~4yQm      
2013 09  13.00590  20 18 09.361  -58 24 55.66  22.8z 13RQ98    W84  C~4yQm      
2013 09  13.00590  20 18 09.36   -58 24 55.7   22.8z 13RQ98    W84  C~3cl6      
2013 09  22.993067 20 17 16.72   -58 16 22.1   22.6i 13RQ98    W84  C~2Gib      
2013 09  22.99307  20 17 16.720  -58 16 22.30  22.8i 13RQ98    W84  C~4yQm      
2013 09  22.99307  20 17 16.72   -58 16 22.3   22.8i 13RQ98    W84  C~3cl6      
2013 09  23.005822 20 17 16.67   -58 16 21.5   23.0r 13RQ98    W84  C~2Gib      
2013 09  23.00583  20 17 16.676  -58 16 21.59  23.4r 13RQ98    W84  C~4yQm      
2013 09  23.00583  20 17 16.68   -58 16 21.6   23.5r 13RQ98    W84  C~3cl6      
2013 09  23.090185 20 17 16.31   -58 16 16.7   22.4z 13RQ98    W84  C~2Gib      
2013 09  23.09020  20 17 16.304  -58 16 16.97  22.6z 13RQ98    W84  C~4yQm      
2013 09  29.00317  20 16 54.446  -58 10 31.85  23.0r 13RQ98    W84  C~4yQm      
2013 09  29.00317  20 16 54.45   -58 10 31.9   23.0r 13RQ98    W84  C~3cl6      
2015 09  29.03641  20 45 50.770  -56 16 40.51  21.7z 13RQ98    W84  C~4yQm      
2016 09  24.03954  20 59 17.043  -55 15 23.92  22.8r 13RQ98    W84  C~4yQm      
2016 09  24.03954  20 59 17.04   -55 15 23.9   23.1r 13RQ98    W84  C~3cl6      
2016 09  24.040891 20 59 17.02   -55 15 23.7   22.5i 13RQ98    W84  C~2Gib      
2016 09  24.04090  20 59 17.029  -55 15 23.69  22.7i 13RQ98    W84  C~4yQm      
2016 10  09.00170  20 58 13.166  -55 02 15.30  22.3z 13RQ98    W84  C~4yQm      
2016 10  09.001701 20 58 13.17   -55 02 15.2   22.2z 13RQ98    W84  C~2Gib      
2016 10  09.01154  20 58 13.142  -55 02 14.91  22.9i 13RQ98    W84  C~4yQm      
2016 10  09.01154  20 58 13.14   -55 02 14.9   23.1i 13RQ98    W84  C~3cl6      
2017 09  14.09283  21 12 36.526  -54 12 37.07  23.1r 13RQ98    W84  C~4yQm      
2017 09  14.09419  21 12 36.512  -54 12 37.01  22.6i 13RQ98    W84  C~4yQm      
2017 09  26.06613  21 11 19.691  -54 05 13.83  23.2z 13RQ98    W84  C~4yQm      
2017 10  10.03535  21 10 17.594  -53 53 32.36  23.4i 13RQ98    W84  C~4yQm      
2017 10  11.03472  21 10 14.418  -53 52 35.38  23.2r 13RQ98    W84  C~4yQm      
2017 10  13.01039  21 10 08.661  -53 50 40.43  23.7g 13RQ98    W84  C~4yQm      
2017 10  16.01911  21 10 01.182  -53 47 39.23  23.1r 13RQ98    W84  C~4yQm      
2017 10  16.02048  21 10 01.205  -53 47 38.99  22.7i 13RQ98    W84  C~4yQm      
2017 10  16.02185  21 10 01.159  -53 47 39.12  23.5g 13RQ98    W84  C~4yQm      
2018 10  22.04920  21 21 03.972  -52 30 57.52  22.8z 13RQ98    W84  C~4yQm      
2018 10  28.11673  21 20 57.265  -52 24 24.68  23.6i 13RQ98    W84  C~4yQm      
2018 11  07.04872  21 21 00.671  -52 12 54.64  23.0r 13RQ98    W84  C~4yQm      
2018 11  08.09150  21 21 02.080  -52 11 39.40  24.3g 13RQ98    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     0.06       0.00     0.01
     2   0.0000      0.00     0.06       0.00     0.04
     3   0.0000      0.00     0.09       0.00     0.07
     4   0.0000      0.00     0.03       0.00     0.10
     5   0.0244      0.00     0.14       0.00    -0.24
     6   0.0326      0.00    -0.09       0.00    -0.04
     7   0.0326      0.00    -0.08       0.00    -0.00
     8   0.0600      0.00    -0.14       0.00     0.18
     9   0.0600      0.00    -0.14       0.00    -0.02
    10   0.0600      0.00    -0.14       0.00    -0.02
    11   0.0600      0.00    -0.03       0.00     0.08
    12   0.0600      0.00     0.12       0.00    -0.02
    13   0.0600      0.00     0.06       0.00    -0.01
    14   0.0602      0.00     0.24       0.00     0.15
    15   0.0602      0.00     0.15       0.00    -0.12
    16   0.0764      0.00    -0.02       0.00    -0.04
    17   0.0764      0.00    -0.08       0.00     0.01
    18   2.0752      0.00     0.05       0.00    -0.25
    19   3.0635      0.00    -0.01       0.00    -0.12
    20   3.0635      0.00     0.04       0.00    -0.14
    21   3.0635      0.00    -0.19       0.00     0.02
    22   3.0635      0.00    -0.06       0.00     0.03
    23   3.1045      0.00    -0.01       0.00     0.14
    24   3.1045      0.00     0.05       0.00     0.24
    25   3.1045      0.00     0.06       0.00    -0.04
    26   3.1045      0.00     0.09       0.00    -0.05
    27   4.0356      0.00     0.04       0.00    -0.03
    28   4.0356      0.00    -0.01       0.00    -0.01
    29   4.0684      0.00    -0.23       0.00     0.07
    30   4.1066      0.00    -0.11       0.00    -0.00
    31   4.1094      0.00     0.04       0.00     0.03
    32   4.1148      0.00     0.31       0.00    -0.04
    33   4.1230      0.00    -0.03       0.00    -0.01
    34   4.1230      0.00     0.37       0.00     0.14
    35   4.1230      0.00    -0.27       0.00    -0.07
    36   5.1388      0.00     0.07       0.00    -0.03
    37   5.1555      0.00     0.12       0.00     0.05
    38   5.1826      0.00    -0.18       0.00    -0.01
    39   5.1855      0.00    -0.08       0.00    -0.11

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.

13RQ98    quality flag:2

Type:       SCATNEAR  SCATNEAR  CENTAURS

axisobj        55.447    55.447    55.447
ecceobj         0.432     0.432     0.432
incobj         37.721    37.721    37.721
qmin           30.551    30.562    28.976
qmax           82.353    82.139    85.267
amean          55.826    55.810    56.338
amin           55.100    55.126    55.177
amax           56.736    56.673    57.382
emean           0.425     0.425     0.444
emin            0.393     0.392     0.399
emax            0.452     0.452     0.487
imean          38.223    38.231    37.621
imin           37.372    37.383    35.945
imax           39.360    39.383    39.283
excite_mean     0.751     0.751     0.755
fracstop        1.000     1.000     1.000
cjmean          2.475     2.475     2.474

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       196.8     207.5     165.0
kozaiamp        180.0     180.0     180.0