Orbit Fit and Astrometric record for 13RD109

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: 13RD109   
# Created Thu Dec  9 02:11:43 2021
# Orbit generated from Bernstein formalism
# Fitting     51 observations of     51
# Arc:   4.07y
# First observation: 2013/09/02
#  Last observation: 2017/09/27
Preliminary a, adot, b, bdot, g, gdot:
   0.000726   0.040559  -0.000057   0.007768   0.035376   0.000000
# Chi-squared of fit:    13.71 DOF:     96 RMS:  0.09
# Min/Max residuals:    -0.23    0.36
# Exact a, adot, b, bdot, g, gdot:
  1.682556E-05  4.064809E-02  3.184011E-06  7.782724E-03  3.461386E-02  1.264832E-03
# Covariance matrix:
  1.8394E-13  3.1974E-14 -5.3335E-15  1.3643E-14  1.5052E-13  4.3308E-13
  3.1974E-14  1.4572E-13 -1.0319E-14  3.0952E-14  1.3037E-13  9.9114E-13
 -5.3335E-15 -1.0319E-14  7.8244E-14 -2.5115E-14 -1.1298E-14 -7.6167E-14
  1.3643E-14  3.0952E-14 -2.5115E-14  1.7783E-14  3.1159E-14  2.2758E-13
  1.5052E-13  1.3037E-13 -1.1298E-14  3.1159E-14  2.3905E-13  9.9338E-13
  4.3308E-13  9.9114E-13 -7.6167E-14  2.2758E-13  9.9338E-13  7.2861E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.764049    3.714434    0.411957   -0.044389   -0.921187  2456537.773070
# Heliocentric elements and errors
Epoch:              2456530.5000  =  2013/08/26
Mean Anomaly:            9.96794 +/-     0.042
Argument of Peri:      334.16753 +/-     0.050
Long of Asc Node:       16.69594 +/-     0.000
Inclination:            11.11942 +/-     0.000
Eccentricity:         0.08156672 +/-    0.0000
Semi-Major Axis:     32.41008384 +/-    0.0016
Time of Perihelion: 2454664.4572 +/-       7.9
Perihelion:          29.76649956 +/-    0.0017
Aphelion:            35.05366813 +/-    0.0019
Period (y)              184.5136 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           29.74267056 +/-    0.0004
Ecliptic Y            1.52105458 +/-    0.0000
Ecliptic Z           -1.39308898 +/-    0.0000
Ecliptic XDOT        -0.00008513 +/-    0.0000
Ecliptic YDOT         0.00321569 +/-    0.0000
Ecliptic ZDOT         0.00061019 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   29.81410331 +/-    0.0004
Geocenter to KBO     28.89016360 +/-    0.0004
# Hcoef:  8.15

The following table shows the complete astrometric record for 13RD109. 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 (13RD109) followed by the observatory code and reference code for the source of the astrometry.

2013 09  02.272292 00 18 01.45   -01 03 37.0   23.2g 13RD109   W84  C~35bW      
2013 09  11.29992  00 17 09.688  -01 08 48.00  23.4g 13RD109   W84  C~4yQo      
2013 09  11.29992  00 17 09.69   -01 08 48.0   23.4g 13RD109   W84  C~3cl7      
2013 09  28.09274  00 15 26.775  -01 18 45.97  23.7g 13RD109   W84  C~4yQo      
2013 10  13.099792 00 13 54.88   -01 27 13.7   22.3z 13RD109   W84  C~35bW      
2013 10  13.10032  00 13 54.884  -01 27 13.74  22.2z 13RD109   W84  C~4yQo      
2013 10  13.13297  00 13 54.688  -01 27 14.82  22.7i 13RD109   W84  C~4yQo      
2013 10  13.13297  00 13 54.69   -01 27 14.8   22.8i 13RD109   W84  C~3cl7      
2013 11  22.08973  00 10 51.020  -01 41 27.37  23.5g 13RD109   W84  C~4yQo      
2013 11  22.08973  00 10 51.02   -01 41 27.4   23.8g 13RD109   W84  C~3cl7      
2013 11  22.09111  00 10 51.009  -01 41 27.31  23.4r 13RD109   W84  C~4yQo      
2013 11  22.09111  00 10 51.01   -01 41 27.3   23.3r 13RD109   W84  C~3cl7      
2013 11  22.09392  00 10 50.999  -01 41 27.53  23.1i 13RD109   W84  C~4yQo      
2013 11  22.09392  00 10 51.00   -01 41 27.5   23.2i 13RD109   W84  C~3cl7      
2013 11  23.08715  00 10 48.308  -01 41 35.06  22.8r 13RD109   W84  C~4yQo      
2013 11  23.08715  00 10 48.31   -01 41 35.1   22.9r 13RD109   W84  C~3cl7      
2013 11  23.10126  00 10 48.270  -01 41 35.29  22.6i 13RD109   W84  C~4yQo      
2013 11  23.10126  00 10 48.27   -01 41 35.3   22.6i 13RD109   W84  C~3cl7      
2014 08  18.30649  00 27 04.839  +00 23 45.05  21.8z 13RD109   W84  C~4yQo      
2014 08  18.30649  00 27 04.84   +00 23 45.0   21.8z 13RD109   W84  C~3cl7      
2014 10  28.18544  00 20 21.272  -00 14 35.33  22.6i 13RD109   W84  C~4yQo      
2014 10  28.18544  00 20 21.27   -00 14 35.3   22.7i 13RD109   W84  C~3cl7      
2014 11  13.100521 00 19 07.29   -00 20 27.3   22.6z 13RD109   W84  C~35bW      
2016 11  08.14374  00 34 57.720  +02 19 25.48  22.3i 13RD109   W84  C~4yQo      
2016 11  08.14374  00 34 57.72   +02 19 25.5   22.4i 13RD109   W84  C~3cl7      
2016 11  08.144583 00 34 57.71   +02 19 25.7   22.3z 13RD109   W84  C~35bW      
2016 11  08.14512  00 34 57.722  +02 19 25.47  22.2z 13RD109   W84  C~4yQo      
2016 11  18.08134  00 34 14.967  +02 15 59.72  23.0r 13RD109   W84  C~4yQo      
2016 11  18.08134  00 34 14.97   +02 15 59.7   23.0r 13RD109   W84  C~3cl7      
2016 11  18.08271  00 34 14.966  +02 15 59.71  23.8g 13RD109   W84  C~4yQo      
2016 11  18.08271  00 34 14.96   +02 15 59.7   23.9g 13RD109   W84  C~3cl7      
2016 11  28.10122  00 33 41.647  +02 13 38.21  22.7r 13RD109   W84  C~4yQo      
2016 11  28.10122  00 33 41.65   +02 13 38.2   22.5r 13RD109   W84  C~3cl7      
2016 11  30.088137 00 33 36.33   +02 13 19.0   22.9i 13RD109   W84  C~35bW      
2016 11  30.08866  00 33 36.357  +02 13 18.92  23.0i 13RD109   W84  C~4yQo      
2016 11  30.09967  00 33 36.317  +02 13 18.72  23.7g 13RD109   W84  C~4yQo      
2016 11  30.09967  00 33 36.31   +02 13 18.7   24.0g 13RD109   W84  C~3cl7      
2016 12  05.09307  00 33 25.042  +02 12 43.18  22.7z 13RD109   W84  C~4yQo      
2016 12  05.09307  00 33 25.04   +02 12 43.2   22.7z 13RD109   W84  C~3cl7      
2017 08  28.276620 00 49 38.17   +04 16 19.7   23.5i 13RD109   W84  C~35bW      
2017 08  28.27714  00 49 38.174  +04 16 19.73  23.5i 13RD109   W84  C~4yQo      
2017 08  28.277998 00 49 38.16   +04 16 19.7   23.1r 13RD109   W84  C~35bW      
2017 08  28.27853  00 49 38.163  +04 16 19.70  23.1r 13RD109   W84  C~4yQo      
2017 08  28.279375 00 49 38.15   +04 16 19.7   23.8g 13RD109   W84  C~35bW      
2017 08  28.27990  00 49 38.160  +04 16 19.66  23.7g 13RD109   W84  C~4yQo      
2017 09  27.261852 00 46 51.99   +04 00 50.5   22.2i 13RD109   W84  C~35bW      
2017 09  27.26238  00 46 51.995  +04 00 50.44  22.3i 13RD109   W84  C~4yQo      
2017 09  27.263229 00 46 51.99   +04 00 50.5   22.4r 13RD109   W84  C~35bW      
2017 09  27.26376  00 46 51.988  +04 00 50.48  22.6r 13RD109   W84  C~4yQo      
2017 09  27.264595 00 46 51.98   +04 00 50.4   22.8g 13RD109   W84  C~35bW      
2017 09  27.26512  00 46 51.981  +04 00 50.31  22.9g 13RD109   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     0.36       0.00     0.08
     2   0.0247   -835.96    -0.05      22.72     0.01
     3   0.0247   -835.93    -0.02      22.71    -0.00
     4   0.0707  -2489.99     0.02      86.37     0.17
     5   0.1118  -3956.72    -0.11     167.02     0.06
     6   0.1118  -3956.68    -0.02     166.96    -0.00
     7   0.1119  -3959.81    -0.02     167.13    -0.05
     8   0.1119  -3959.77     0.01     167.14    -0.04
     9   0.2213  -6828.13     0.06     476.52    -0.02
    10   0.2213  -6828.11     0.07     476.55     0.01
    11   0.2213  -6828.22     0.02     476.67     0.12
    12   0.2213  -6828.24     0.00     476.67     0.12
    13   0.2213  -6828.44    -0.08     476.55    -0.03
    14   0.2213  -6828.47    -0.10     476.53    -0.05
    15   0.2240  -6868.54     0.01     485.61     0.03
    16   0.2240  -6868.53     0.02     485.56    -0.02
    17   0.2240  -6869.16    -0.03     485.62    -0.10
    18   0.2240  -6869.15    -0.03     485.62    -0.09
    19   0.9583   9569.12    -0.08    1574.62    -0.12
    20   0.9583   9569.12    -0.07    1574.67    -0.07
    21   1.1524   3093.12    -0.02    1867.32     0.09
    22   1.1524   3093.14    -0.01    1867.28     0.05
    23   1.1960   1934.68    -0.03    1984.86    -0.22
    24   3.1838  18881.02     0.08    5146.68     0.02
    25   3.1838  18881.01     0.07    5146.66     0.00
    26   3.1838  18880.96     0.09    5146.92     0.26
    27   3.1838  18881.03     0.20    5146.64    -0.03
    28   3.2110  18205.63     0.01    5211.19    -0.12
    29   3.2110  18205.60    -0.02    5211.23    -0.08
    30   3.2110  18205.50    -0.04    5211.25    -0.07
    31   3.2110  18205.58     0.04    5211.22    -0.09
    32   3.2384  17687.05    -0.07    5278.95    -0.04
    33   3.2384  17687.01    -0.11    5278.98    -0.01
    34   3.2438  17605.63    -0.23    5292.90     0.29
    35   3.2439  17605.97     0.13    5292.67     0.06
    36   3.2439  17605.23    -0.16    5292.75     0.05
    37   3.2439  17605.34    -0.06    5292.72     0.03
    38   3.2576  17434.84     0.09    5327.07    -0.07
    39   3.2576  17434.86     0.11    5327.04    -0.10
    40   3.9863  34022.86    -0.07    6420.83    -0.02
    41   3.9863  34022.93     0.04    6420.83    -0.02
    42   3.9863  34022.72    -0.10    6420.88     0.03
    43   3.9863  34022.76    -0.02    6420.87     0.01
    44   3.9863  34022.58    -0.14    6420.94     0.08
    45   3.9863  34022.70     0.03    6420.85    -0.01
    46   4.0684  31304.14    -0.07    6540.64     0.04
    47   4.0684  31304.18     0.03    6540.55    -0.05
    48   4.0684  31304.14     0.07    6540.64     0.03
    49   4.0684  31304.10     0.09    6540.63     0.02
    50   4.0684  31303.96     0.03    6540.60    -0.01
    51   4.0684  31303.93     0.06    6540.51    -0.10

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.

13RD109    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        32.542    32.546    32.538
ecceobj         0.086     0.086     0.086
incobj         11.098    11.098    11.098
qmin           29.514    29.524    29.506
qmax           36.299    35.926    37.484
amean          32.490    32.572    32.941
amin           31.910    32.215    32.204
amax           33.023    32.938    33.675
emean           0.084     0.086     0.094
emin            0.066     0.080     0.080
emax            0.099     0.093     0.113
imean          11.220    11.214    11.126
imin           11.082    11.112    10.954
imax           11.336    11.271    11.265
excite_mean     0.212     0.213     0.215
fracstop        0.002     0.001     0.001
cjmean          2.952     2.952     2.952

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       332.6     332.4     334.4
kozaiamp          4.6       4.4       6.3