Orbit Fit and Astrometric record for 13RA109

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: 13RA109   
# Created Mon Dec  6 02:11:45 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     38 observations of     38
# Arc:   5.15y
# First observation: 2013/09/12
#  Last observation: 2018/11/07
# Chi-squared of fit:    14.16 DOF:     70 RMS:  0.11
# Min/Max residuals:    -0.47    0.20
# Exact a, adot, b, bdot, g, gdot:
  2.030561E-05  2.787468E-02  6.374858E-07  3.753446E-04  2.199076E-02  2.578596E-03
# Covariance matrix:
  1.5681E-13 -7.2585E-14  6.4629E-16 -9.0984E-16  4.5671E-14 -3.7835E-13
 -7.2585E-14  1.7765E-13  2.7958E-16  1.6272E-15  1.4600E-13  1.2821E-12
  6.4629E-16  2.7958E-16  1.0487E-13 -2.9722E-14  1.7270E-15  1.4109E-15
 -9.0984E-16  1.6272E-15 -2.9722E-14  1.3430E-14  4.4917E-16  1.3222E-14
  4.5671E-14  1.4600E-13  1.7270E-15  4.4917E-16  3.0199E-13  1.0498E-12
 -3.7835E-13  1.2821E-12  1.4109E-15  1.3222E-14  1.0498E-12  1.0055E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -12.623587   18.288912    0.485658   -0.192721   -0.861008  2456547.889428
# Heliocentric elements and errors
Epoch:              2456548.5000  =  2013/09/13
Mean Anomaly:            0.21163 +/-     0.000
Argument of Peri:      263.04763 +/-     0.014
Long of Asc Node:      104.89318 +/-     0.001
Inclination:            12.39853 +/-     0.000
Eccentricity:         0.90336499 +/-    0.0001
Semi-Major Axis:    476.28037244 +/-    0.5513
Time of Perihelion: 2454316.6809 +/-       6.2
Perihelion:          46.02535804 +/-    0.0748
Aphelion:           906.53538684 +/-    1.0507
Period (y)            10394.4671 +/-     18.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           43.12243758 +/-    0.0011
Ecliptic Y           13.74417091 +/-    0.0003
Ecliptic Z           -9.93803603 +/-    0.0002
Ecliptic XDOT        -0.00078807 +/-    0.0000
Ecliptic YDOT         0.00339543 +/-    0.0000
Ecliptic ZDOT        -0.00002442 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   46.33793961 +/-    0.0010
Geocenter to KBO     45.47357959 +/-    0.0011
# Hcoef:  6.12

The following table shows the complete astrometric record for 13RA109. 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 (13RA109) followed by the observatory code and reference code for the source of the astrometry.

2013 09  12.38865  01 26 37.408  -04 30 50.38  22.8g 13RA109   W84  C~4yQo      
2013 09  12.38865  01 26 37.41   -04 30 50.4   23.2g 13RA109   W84  C~3cl7      
2013 10  02.28369  01 25 28.615  -04 39 39.49  23.1g 13RA109   W84  C~4yQo      
2013 10  02.28369  01 25 28.62   -04 39 39.5   23.2g 13RA109   W84  C~3cl7      
2013 10  02.28508  01 25 28.611  -04 39 39.59  22.2r 13RA109   W84  C~4yQo      
2013 10  02.28508  01 25 28.61   -04 39 39.6   22.3r 13RA109   W84  C~3cl7      
2013 10  04.19728  01 25 21.396  -04 40 27.81  23.1g 13RA109   W84  C~4yQo      
2013 10  04.19728  01 25 21.40   -04 40 27.8   23.1g 13RA109   W84  C~3cl7      
2014 10  02.33135  01 31 23.054  -04 02 03.64  22.6r 13RA109   W84  C~4yQo      
2014 10  02.33135  01 31 23.05   -04 02 03.6   22.6r 13RA109   W84  C~3cl7      
2014 10  03.276817 01 31 19.50   -04 02 27.5   23.1g 13RA109   W84  C~352C      
2014 10  03.27734  01 31 19.515  -04 02 27.56  23.3g 13RA109   W84  C~4yQo      
2014 10  29.25836  01 29 39.355  -04 11 53.53  23.0i 13RA109   W84  C~4yQo      
2014 10  29.25836  01 29 39.36   -04 11 53.5   23.1i 13RA109   W84  C~3cl7      
2014 10  29.25974  01 29 39.347  -04 11 53.54  22.6r 13RA109   W84  C~4yQo      
2014 10  29.25974  01 29 39.35   -04 11 53.6   22.8r 13RA109   W84  C~3cl7      
2014 11  21.10696  01 28 20.000  -04 16 28.80  23.0i 13RA109   W84  C~4yQo      
2014 11  21.10696  01 28 20.00   -04 16 28.8   23.1i 13RA109   W84  C~3cl7      
2015 11  01.20841  01 35 20.178  -03 35 16.01  23.0i 13RA109   W84  C~4yQo      
2015 12  18.08041  01 33 07.878  -03 38 59.59  22.7z 13RA109   W84  C~4yQo      
2016 08  26.35056  01 44 46.542  -02 31 48.54  22.3r 13RA109   W84  C~4yQo      
2016 08  26.35056  01 44 46.54   -02 31 48.6   22.2r 13RA109   W84  C~3cl7      
2016 08  29.34806  01 44 40.738  -02 33 00.38  23.4g 13RA109   W84  C~4yQo      
2016 08  29.34806  01 44 40.74   -02 33 00.4   23.3g 13RA109   W84  C~3cl7      
2016 11  07.14643  01 40 43.469  -02 59 42.22  22.9i 13RA109   W84  C~4yQo      
2016 11  07.14643  01 40 43.47   -02 59 42.2   23.3i 13RA109   W84  C~3cl7      
2016 11  25.098102 01 39 43.44   -03 02 35.5   23.1g 13RA109   W84  C~352C      
2016 11  25.09863  01 39 43.461  -03 02 35.63  23.1g 13RA109   W84  C~4yQo      
2016 11  28.16398  01 39 34.664  -03 02 48.65  22.4i 13RA109   W84  C~4yQo      
2016 11  28.16398  01 39 34.66   -03 02 48.6   22.5i 13RA109   W84  C~3cl7      
2017 10  29.24970  01 47 03.483  -02 20 05.77  23.1z 13RA109   W84  C~4yQo      
2017 11  18.12808  01 45 50.854  -02 24 42.42  22.5r 13RA109   W84  C~4yQo      
2017 11  18.12945  01 45 50.845  -02 24 42.46  22.8g 13RA109   W84  C~4yQo      
2018 09  09.39007  01 55 40.353  -01 23 32.58  22.2z 13RA109   W84  C~4yQo      
2018 10  10.30910  01 54 00.497  -01 36 19.78  22.5i 13RA109   W84  C~4yQo      
2018 10  10.31048  01 54 00.484  -01 36 19.75  23.6g 13RA109   W84  C~4yQo      
2018 10  19.28680  01 53 26.097  -01 39 41.86  22.1z 13RA109   W84  C~4yQo      
2018 11  07.22111  01 52 13.107  -01 45 29.69  23.1r 13RA109   W84  C~4yQo      

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    -0.02       0.00    -0.09
     2   0.0000      0.00     0.01       0.00    -0.11
     3   0.0545      0.00    -0.01       0.00     0.04
     4   0.0545      0.00     0.07       0.00     0.03
     5   0.0545      0.00    -0.00       0.00    -0.04
     6   0.0545      0.00     0.01       0.00    -0.03
     7   0.0597      0.00     0.02       0.00    -0.02
     8   0.0597      0.00     0.08       0.00    -0.01
     9   1.0539      0.00    -0.06       0.00    -0.02
    10   1.0539      0.00     0.00       0.00    -0.06
    11   1.0565      0.00    -0.47       0.00    -0.02
    12   1.0565      0.00    -0.21       0.00    -0.07
    13   1.1276      0.00     0.18       0.00     0.08
    14   1.1276      0.00     0.10       0.00     0.05
    15   1.1276      0.00     0.06       0.00     0.06
    16   1.1276      0.00     0.10       0.00    -0.00
    17   1.1902      0.00     0.05       0.00     0.07
    18   1.1902      0.00     0.05       0.00     0.07
    19   2.1350      0.00    -0.13       0.00     0.09
    20   2.2634      0.00     0.15       0.00    -0.02
    21   2.9540      0.00    -0.02       0.00    -0.07
    22   2.9540      0.00     0.01       0.00    -0.01
    23   2.9622      0.00     0.20       0.00     0.07
    24   2.9622      0.00     0.17       0.00     0.09
    25   3.1533      0.00     0.09       0.00     0.07
    26   3.1533      0.00     0.07       0.00     0.05
    27   3.2025      0.00    -0.43       0.00     0.18
    28   3.2025      0.00    -0.09       0.00     0.05
    29   3.2109      0.00     0.01       0.00     0.01
    30   3.2109      0.00     0.07       0.00    -0.04
    31   4.1283      0.00     0.09       0.00     0.02
    32   4.1827      0.00     0.03       0.00    -0.07
    33   4.1827      0.00    -0.03       0.00    -0.09
    34   4.9911      0.00     0.05       0.00     0.05
    35   5.0758      0.00     0.06       0.00    -0.03
    36   5.0758      0.00    -0.06       0.00     0.03
    37   5.1003      0.00    -0.13       0.00    -0.12
    38   5.1522      0.00     0.12       0.00    -0.09

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.

13RA109    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj       520.668   520.657   520.679
ecceobj         0.912     0.912     0.912
incobj         12.401    12.401    12.401
qmin           41.407    41.358    41.264
qmax         1022.150  1003.643  1023.251
amean         466.709   463.630   469.293
amin          435.146   432.533   437.972
amax          534.080   524.833   534.625
emean           0.901     0.900     0.902
emin            0.890     0.890     0.891
emax            0.914     0.912     0.914
imean          10.819    10.810    10.816
imin           10.676    10.674    10.674
imax           10.971    10.972    10.971
excite_mean     0.921     0.920     0.921
fracstop        1.000     1.000     1.000
cjmean          3.416     3.417     3.415

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       268.0     267.6     268.6
kozaiamp          7.0       6.7       8.1