Orbit Fit and Astrometric record for 13UE31

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: 13UE31    
# Created Fri Dec  3 02:12:13 2021
# Orbit generated from Bernstein formalism
# Fitting     41 observations of     41
# Arc:   3.98y
# First observation: 2013/10/30
#  Last observation: 2017/10/22
Preliminary a, adot, b, bdot, g, gdot:
   0.000024   0.025039   0.000192   0.013711   0.027054   0.000000
# Chi-squared of fit:     4.29 DOF:     76 RMS:  0.06
# Min/Max residuals:    -0.27    0.11
# Exact a, adot, b, bdot, g, gdot:
  1.527097E-05  2.490700E-02  8.560592E-06  1.358819E-02  2.585196E-02  1.972068E-03
# Covariance matrix:
  3.5612E-13 -3.6658E-13  8.9653E-14 -1.6076E-13 -1.9415E-13 -2.9092E-12
 -3.6658E-13  4.8367E-13 -1.5637E-13  2.2204E-13  9.7041E-14  4.0714E-12
  8.9653E-14 -1.5637E-13  1.9485E-13 -1.0960E-13  1.4990E-13 -1.3225E-12
 -1.6076E-13  2.2204E-13 -1.0960E-13  1.2926E-13  8.3393E-14  1.9665E-12
 -1.9415E-13  9.7041E-14  1.4990E-13  8.3393E-14  1.1337E-12  1.1877E-12
 -2.9092E-12  4.0714E-12 -1.3225E-12  1.9665E-12  1.1877E-12  3.5957E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -26.520795  -57.073349   -0.990286    0.027373    0.054591  2456595.554458
# Heliocentric elements and errors
Epoch:              2456590.5000  =  2013/10/25
Mean Anomaly:           21.28306 +/-     0.037
Argument of Peri:      282.41784 +/-     0.059
Long of Asc Node:      342.93843 +/-     0.000
Inclination:            38.83788 +/-     0.000
Eccentricity:         0.20104431 +/-    0.0002
Semi-Major Axis:     47.12152478 +/-    0.0109
Time of Perihelion: 2449605.6184 +/-      11.8
Perihelion:          37.64801057 +/-    0.0128
Aphelion:            56.59503899 +/-    0.0161
Period (y)              323.4724 +/-      0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           19.61153378 +/-    0.0008
Ecliptic Y          -28.45952154 +/-    0.0012
Ecliptic Z          -17.27202777 +/-    0.0007
Ecliptic XDOT         0.00265875 +/-    0.0000
Ecliptic YDOT         0.00073598 +/-    0.0000
Ecliptic ZDOT         0.00119451 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.63779972 +/-    0.0010
Geocenter to KBO     38.68178539 +/-    0.0016
# Hcoef:  6.36

The following table shows the complete astrometric record for 13UE31. 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 (13UE31) followed by the observatory code and reference code for the source of the astrometry.

2013 10  30.05368  20 54 14.386  -45 06 24.53  21.5g 13UE31    W84  C~4yRL      
2013 10  30.05368  20 54 14.38   -45 06 24.6   22.1g 13UE31    W84  C~3clT      
2014 09  03.07976  21 03 39.641  -44 27 04.21  22.2i 13UE31    W84  C~4yRL      
2014 09  20.01156  21 02 03.948  -44 21 51.81  23.0g 13UE31    W84  C~4yRL      
2014 09  20.01156  21 02 03.95   -44 21 51.8   23.0g 13UE31    W84  C~3clT      
2014 09  24.04467  21 01 45.112  -44 20 02.86  22.4r 13UE31    W84  C~4yRL      
2014 09  24.04467  21 01 45.11   -44 20 02.9   22.6r 13UE31    W84  C~3clT      
2014 09  24.04606  21 01 45.093  -44 20 02.81  22.3i 13UE31    W84  C~4yRL      
2014 09  24.04606  21 01 45.09   -44 20 02.8   22.2i 13UE31    W84  C~3clT      
2014 09  24.04744  21 01 45.092  -44 20 02.79  22.7g 13UE31    W84  C~4yRL      
2014 09  24.04744  21 01 45.09   -44 20 02.8   22.9g 13UE31    W84  C~3clT      
2014 09  26.00791  21 01 36.579  -44 19 05.10  21.9i 13UE31    W84  C~4yRL      
2014 09  26.00791  21 01 36.58   -44 19 05.1   21.9i 13UE31    W84  C~3clT      
2014 09  27.01007  21 01 32.402  -44 18 34.50  21.4i 13UE31    W84  C~4yRL      
2014 09  27.01007  21 01 32.40   -44 18 34.5   21.9i 13UE31    W84  C~3clT      
2014 10  19.08624  21 00 31.495  -44 04 21.96  22.1r 13UE31    W84  C~4yRL      
2014 10  19.08624  21 00 31.50   -44 04 22.0   22.2r 13UE31    W84  C~3clU      
2014 10  21.04154  21 00 29.188  -44 02 51.73  22.1z 13UE31    W84  C~4yRL      
2014 10  21.04154  21 00 29.19   -44 02 51.7   22.3z 13UE31    W84  C~3clU      
2014 10  22.01971  21 00 28.242  -44 02 05.78  22.4r 13UE31    W84  C~4yRL      
2014 10  22.01971  21 00 28.24   -44 02 05.8   22.5r 13UE31    W84  C~3clU      
2014 10  22.04276  21 00 28.216  -44 02 04.68  22.4z 13UE31    W84  C~4yRL      
2014 10  22.04276  21 00 28.22   -44 02 04.7   22.5z 13UE31    W84  C~3clU      
2015 09  13.08413  21 08 42.322  -43 10 42.56  22.0i 13UE31    W84  C~4yRL      
2015 09  13.08833  21 08 42.294  -43 10 42.58  21.9i 13UE31    W84  C~4yRL      
2016 08  23.23708  21 16 32.276  -41 58 14.61  22.1z 13UE31    W84  C~4yRL      
2016 08  23.23708  21 16 32.28   -41 58 14.6   22.3z 13UE31    W84  C~3clU      
2016 09  23.01284  21 13 32.682  -41 52 39.47  23.1g 13UE31    W84  C~4yRL      
2016 09  23.01284  21 13 32.68   -41 52 39.5   23.3g 13UE31    W84  C~3clU      
2016 09  25.00654  21 13 23.652  -41 51 51.51  22.0i 13UE31    W84  C~4yRL      
2016 09  25.00654  21 13 23.65   -41 51 51.5   22.2i 13UE31    W84  C~3clU      
2016 09  25.00792  21 13 23.64   -41 51 51.5   22.0r 13UE31    W84  C~3clU      
2016 09  25.00929  21 13 23.61   -41 51 51.5   21.9g 13UE31    W84  C~3clU      
2017 09  08.06989  21 20 23.453  -40 41 31.17  22.1z 13UE31    W84  C~4yRL      
2017 09  12.08775  21 20 00.412  -40 40 49.21  22.2r 13UE31    W84  C~4yRL      
2017 09  12.08912  21 20 00.390  -40 40 49.22  22.9g 13UE31    W84  C~4yRL      
2017 10  11.05857  21 17 56.053  -40 29 31.92  22.4r 13UE31    W84  C~4yRL      
2017 10  11.05995  21 17 56.051  -40 29 31.89  22.4i 13UE31    W84  C~4yRL      
2017 10  11.06131  21 17 56.047  -40 29 31.78  23.2g 13UE31    W84  C~4yRL      
2017 10  13.09442  21 17 50.660  -40 28 21.15  22.5z 13UE31    W84  C~4yRL      
2017 10  22.00581  21 17 33.044  -40 22 39.73  22.0z 13UE31    W84  C~4yRL      

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    -0.01       0.00    -0.05
     2   0.0000      0.08     0.07       0.05    -0.00
     3   0.8433   6459.28    -0.03     309.42    -0.03
     4   0.8897   5594.69     0.04     944.28     0.00
     5   0.8897   5594.67     0.01     944.28    -0.00
     6   0.9007   5439.52     0.01    1113.61    -0.09
     7   0.9007   5439.56     0.04    1113.64    -0.06
     8   0.9007   5439.38    -0.09    1113.75    -0.00
     9   0.9007   5439.35    -0.11    1113.77     0.02
    10   0.9007   5439.35    -0.06    1113.77    -0.04
    11   0.9007   5439.38    -0.04    1113.77    -0.04
    12   0.9061   5371.98     0.01    1198.26     0.02
    13   0.9061   5371.96    -0.00    1198.26     0.03
    14   0.9088   5339.60     0.09    1241.89     0.01
    15   0.9088   5339.62     0.11    1241.88    -0.00
    16   0.9693   4998.30     0.05    2261.74    -0.02
    17   0.9693   4998.26     0.01    2261.80     0.04
    18   0.9746   5004.07    -0.03    2355.27     0.06
    19   0.9746   5004.04    -0.06    2355.25     0.04
    20   0.9773   5009.29    -0.02    2402.03     0.01
    21   0.9773   5009.32     0.01    2402.05     0.02
    22   0.9774   5009.44     0.02    2403.15     0.01
    23   0.9774   5009.41    -0.02    2403.18     0.04
    24   1.8700  11110.37     0.03    3504.08     0.10
    25   1.8700  11110.08    -0.05    3504.17     0.03
    26   2.8150  17550.26     0.07    5711.69     0.04
    27   2.8150  17550.21     0.03    5711.70     0.05
    28   2.8993  15795.81     0.04    6757.98    -0.00
    29   2.8993  15795.84     0.07    6758.00     0.02
    30   2.9047  15718.67     0.05    6839.37    -0.05
    31   2.9047  15718.69     0.06    6839.35    -0.07
    32   2.9047  15718.56    -0.00    6839.41    -0.07
    33   2.9047  15718.25    -0.27    6839.53    -0.01
    34   3.8577  21734.32    -0.13    9031.50     0.03
    35   3.8687  21505.29     0.08    9170.12    -0.06
    36   3.8687  21505.05    -0.08    9170.21    -0.02
    37   3.9480  20437.20    -0.01   10335.70    -0.02
    38   3.9480  20437.19     0.00   10335.74    -0.04
    39   3.9480  20437.19     0.03   10335.86     0.02
    40   3.9536  20406.33     0.00   10424.87     0.00
    41   3.9780  20346.87     0.10   10819.40     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.

13UE31    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        47.137    47.171    47.103
ecceobj         0.201     0.202     0.200
incobj         38.788    38.788    38.788
qmin           37.159    37.114    37.163
qmax           58.061    58.105    57.892
amean          47.357    47.389    47.322
amin           46.962    46.982    46.899
amax           47.835    47.864    47.794
emean           0.193     0.194     0.193
emin            0.174     0.175     0.174
emax            0.214     0.215     0.212
imean          39.848    39.845    39.839
imin           39.477    39.488    39.488
imax           40.227    40.217    40.199
excite_mean     0.669     0.669     0.669
fracstop        1.000     1.000     1.000
cjmean          2.524     2.524     2.524

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       200.2     198.5     203.4
kozaiamp        180.0     180.0     180.0