Orbit Fit and Astrometric record for 13RG109

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: 13RG109   
# Created Sat Nov 27 02:11:51 2021
# Orbit generated from Bernstein formalism
# Fitting     46 observations of     47
# Arc:   3.21y
# First observation: 2013/09/02
#  Last observation: 2016/11/18
Preliminary a, adot, b, bdot, g, gdot:
   0.000055   0.027195  -0.000040   0.011194   0.027911   0.000000
# Chi-squared of fit:    11.74 DOF:     86 RMS:  0.09
# Min/Max residuals:    -0.36    0.32
# Exact a, adot, b, bdot, g, gdot:
  1.509469E-05  2.700022E-02  6.730322E-06  1.109070E-02  2.776421E-02 -2.044448E-03
# Covariance matrix:
  1.9163E-13  7.4511E-15 -7.7181E-15  2.2944E-14  1.5133E-13  6.2290E-13
  7.4511E-15  1.8925E-13 -3.0060E-14  9.0948E-14  1.4684E-13  2.4724E-12
 -7.7181E-15 -3.0060E-14  9.2619E-14 -4.9103E-14 -2.6693E-14 -4.3814E-13
  2.2944E-14  9.0948E-14 -4.9103E-14  6.8302E-14  8.0260E-14  1.3255E-12
  1.5133E-13  1.4684E-13 -2.6693E-14  8.0260E-14  2.6998E-13  2.1808E-12
  6.2290E-13  2.4724E-12 -4.3814E-13  1.3255E-12  2.1808E-12  3.6032E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -4.604691   12.712157    0.549785   -0.067929   -0.844576  2456537.864468
# Heliocentric elements and errors
Epoch:              2456530.5000  =  2013/08/26
Mean Anomaly:          298.76086 +/-     0.030
Argument of Peri:       59.32489 +/-     0.048
Long of Asc Node:       22.69175 +/-     0.000
Inclination:            22.71430 +/-     0.000
Eccentricity:         0.09292557 +/-    0.0002
Semi-Major Axis:     38.31028916 +/-    0.0030
Time of Perihelion: 2471263.7360 +/-       7.1
Perihelion:          34.75028377 +/-    0.0082
Aphelion:            41.87029455 +/-    0.0084
Period (y)              237.1272 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           35.96848588 +/-    0.0007
Ecliptic Y            7.55335963 +/-    0.0001
Ecliptic Z           -2.89128584 +/-    0.0001
Ecliptic XDOT        -0.00070246 +/-    0.0000
Ecliptic YDOT         0.00257125 +/-    0.0000
Ecliptic ZDOT         0.00110646 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.86658042 +/-    0.0006
Geocenter to KBO     36.01758626 +/-    0.0007
# Hcoef:  7.11

The following table shows the complete astrometric record for 13RG109. 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 (13RG109) followed by the observatory code and reference code for the source of the astrometry.

2013 09  02.36369  00 53 56.509  +00 46 43.98  23.5g 13RG109   W84  C~4yQo      
2013 09  02.36369  00 53 56.51   +00 46 44.0   24.0g 13RG109   W84  C~3cl8      
2013 09  09.241493 00 53 26.22   +00 43 52.0   23.2g 13RG109   W84  C~35bW      
2013 09  09.24202  00 53 26.242  +00 43 51.92  23.0g 13RG109   W84  C~4yQo      
2013 10  03.10371  00 51 26.399  +00 33 09.51  22.6g 13RG109   W84  C~4yQo      
2013 10  03.10371  00 51 26.40   +00 33 09.5   22.7g 13RG109   W84  C~3cl8      
2013 10  13.18075  00 50 33.029  +00 28 45.90  22.2i 13RG109   W84  C~4yQo      
2013 10  13.18075  00 50 33.03   +00 28 45.9   22.3i 13RG109   W84  C~3cl8      
2013 10  29.05049  00 49 12.206  +00 22 40.18  23.2g 13RG109   W84  C~4yQo      
2013 10  29.05049  00 49 12.20   +00 22 40.2   23.5g 13RG109   W84  C~3cl8      
2013 11  23.12320  00 47 28.471  +00 16 38.42  23.4g 13RG109   W84  C~4yQo      
2013 11  23.12320  00 47 28.47   +00 16 38.4   23.5g 13RG109   W84  C~3cl8      
2013 11  23.12601  00 47 28.465  +00 16 38.45  22.7r 13RG109   W84  C~4yQo      
2013 11  23.12601  00 47 28.46   +00 16 38.4   22.8r 13RG109   W84  C~3cl8      
2013 11  23.12737  00 47 28.459  +00 16 38.39  22.5i 13RG109   W84  C~4yQo      
2013 11  23.12737  00 47 28.46   +00 16 38.4   22.5i 13RG109   W84  C~3cl8      
2014 08  18.32680  00 59 35.377  +02 03 14.76  22.9z 13RG109   W84  C~4yQo      
2014 10  27.22247  00 54 05.870  +01 34 48.85  23.1r 13RG109   W84  C~4yQo      
2014 10  27.22247  00 54 05.87   +01 34 48.9   23.2r 13RG109   W84  C~3cl8      
2014 10  29.21190  00 53 56.017  +01 34 05.85  22.3i 13RG109   W84  C~4yQo      
2014 10  29.21190  00 53 56.02   +01 34 05.9   22.6i 13RG109   W84  C~3cl8      
2014 11  13.13537  00 52 48.090  +01 29 34.79  22.6r 13RG109   W84  C~4yQo      
2014 11  13.13537  00 52 48.09   +01 29 34.8   22.6r 13RG109   W84  C~3cl8      
2014 11  17.06543  00 52 32.391  +01 28 40.74  23.0z 13RG109   W84  C~4yQo      
2015 11  07.10209  00 57 59.384  +02 42 51.18  22.7r 13RG109   W84  C~4yQo      
2015 11  07.10209  00 57 59.38   +02 42 51.2   22.9r 13RG109   W84  C~3cl8      
2015 11  07.10346  00 57 59.383  +02 42 51.09  22.6i 13RG109   W84  C~4yQo      
2015 11  07.10346  00 57 59.38   +02 42 51.1   22.5i 13RG109   W84  C~3cl8      
2015 11  07.10484  00 57 59.372  +02 42 51.07  23.3g 13RG109   W84  C~4yQo      
2015 11  07.10484  00 57 59.37   +02 42 51.1   23.4g 13RG109   W84  C~3cl8      
2016 09  01.36467  01 08 14.867  +04 21 25.47  22.0i 13RG109   W84  C~4yQo      
2016 09  01.36467  01 08 14.87   +04 21 25.5   22.0i 13RG109   W84  C~3cl8      
2016 09  01.36604  01 08 14.859  +04 21 25.46  22.6r 13RG109   W84  C~4yQo      
2016 09  01.36604  01 08 14.86   +04 21 25.5   22.6r 13RG109   W84  C~3cl8      
2016 09  01.36741  01 08 14.855  +04 21 25.39  23.3g 13RG109   W84  C~4yQo      
2016 09  01.36741  01 08 14.85   +04 21 25.4   23.3g 13RG109   W84  C~3cl8      
2016 09  08.28932  01 07 45.872  +04 18 55.94  22.3z 13RG109   W84  C~4yQo      
2016 11  05.16171  01 02 50.908  +03 55 06.66  22.7r 13RG109   W84  C~4yQo      
2016 11  05.16171  01 02 50.91   +03 55 06.7   22.8r 13RG109   W84  C~3cl8      
2016 11  05.16308  01 02 50.899  +03 55 06.64  22.4i 13RG109   W84  C~4yQo      
2016 11  05.16308  01 02 50.90   +03 55 06.6   22.5i 13RG109   W84  C~3cl8      
2016 11  05.16446  01 02 50.887  +03 55 06.63  23.1g 13RG109   W84  C~4yQo      
2016 11  05.16446  01 02 50.89   +03 55 06.6   23.4g 13RG109   W84  C~3cl8      
2016 11  07.190243 01 02 41.38   +03 54 26.5   22.1z 13RG109   W84  C~35bW      
2016 11  07.19077  01 02 41.396  +03 54 26.36  22.5z 13RG109   W84  C~4yQo      
2016 11  18.094514 01 01 54.33   +03 51 20.1   22.2z 13RG109   W84  C~35bW      
2016 11  18.09504  01 01 54.327  +03 51 20.05  22.6z 13RG109   W84  C~4yQp      

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    -0.09
     2   0.0000      0.02     0.08       0.01    -0.07
     3   0.0188   -485.43 (  -0.07)     17.80 (   0.53)
     4   0.0188   -485.16     0.24      17.60     0.32
     5   0.0842  -2391.21    -0.35     123.23    -0.07
     6   0.0842  -2391.22    -0.36     123.25    -0.06
     7   0.1118  -3231.45     0.02     191.08     0.03
     8   0.1118  -3231.43     0.03     191.07     0.02
     9   0.1552  -4491.10     0.02     324.74     0.04
    10   0.1552  -4491.17    -0.06     324.80     0.10
    11   0.2238  -6066.55    -0.00     595.65    -0.03
    12   0.2238  -6066.53     0.02     595.67    -0.01
    13   0.2239  -6066.69    -0.00     595.71    -0.00
    14   0.2239  -6066.60     0.09     595.73     0.01
    15   0.2239  -6066.71     0.05     595.71    -0.02
    16   0.2239  -6066.69     0.07     595.71    -0.02
    17   0.9581   6466.45     0.15    2261.63    -0.08
    18   1.1495   1248.98    -0.00    2604.54     0.06
    19   1.1495   1248.96    -0.02    2604.49     0.01
    20   1.1550   1096.15     0.05    2622.22     0.00
    21   1.1550   1096.09    -0.01    2622.19    -0.02
    22   1.1958     52.10     0.01    2767.70     0.02
    23   1.1958     52.09     0.00    2767.69     0.01
    24   1.2066   -185.86     0.07    2809.26    -0.07
    25   2.1786   6061.40    -0.07    5011.96     0.02
    26   2.1786   6061.45    -0.03    5011.92    -0.02
    27   2.1786   6061.36    -0.01    5011.87    -0.09
    28   2.1786   6061.40     0.02    5011.84    -0.11
    29   2.1786   6061.23    -0.05    5011.93    -0.04
    30   2.1786   6061.24    -0.04    5011.89    -0.08
    31   2.9979  16887.79     0.02    6917.45    -0.02
    32   2.9979  16887.85     0.07    6917.46    -0.01
    33   2.9980  16887.71     0.02    6917.52     0.04
    34   2.9980  16887.68    -0.01    6917.49     0.01
    35   2.9980  16887.53    -0.07    6917.48    -0.00
    36   2.9980  16887.59    -0.01    6917.45    -0.04
    37   3.0169  16426.79    -0.13    6946.19     0.14
    38   3.1754  11780.04     0.08    7327.55    -0.02
    39   3.1754  11780.00     0.03    7327.52    -0.04
    40   3.1754  11779.86     0.00    7327.51    -0.06
    41   3.1754  11779.87     0.00    7327.56    -0.02
    42   3.1754  11779.72    -0.03    7327.57    -0.02
    43   3.1754  11779.70    -0.06    7327.62     0.03
    44   3.1809  11632.42    -0.09    7345.51     0.11
    45   3.1809  11632.59     0.12    7345.29    -0.12
    46   3.2108  10908.47     0.06    7445.47     0.16
    47   3.2108  10908.41     0.03    7445.44     0.12

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.

13RG109    quality flag:2

Type:       SCATEXTD  SCATEXTD  SCATNEAR

axisobj        38.479    38.486    38.471
ecceobj         0.093     0.093     0.092
incobj         22.664    22.664    22.664
qmin           33.817    33.774    33.474
qmax           42.914    42.905    43.076
amean          38.248    38.256    38.183
amin           37.842    37.865    37.831
amax           38.582    38.596    38.598
emean           0.085     0.087     0.081
emin            0.060     0.065     0.053
emax            0.114     0.113     0.118
imean          21.513    21.593    21.505
imin           20.016    20.198    19.942
imax           22.751    22.842    22.765
excite_mean     0.377     0.378     0.376
fracstop        1.000     1.000     1.000
cjmean          2.876     2.874     2.876

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       177.2     179.3     175.5
kozaiamp        179.9     179.9     179.9