Orbit Fit and Astrometric record for 13RE157

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: 13RE157   
# Created Tue Nov 30 02:11:56 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     10 observations of     10
# Arc:   5.19y
# First observation: 2013/09/10
#  Last observation: 2018/11/17
# Chi-squared of fit:     6.44 DOF:     14 RMS:  0.14
# Min/Max residuals:    -0.26    0.25
# Exact a, adot, b, bdot, g, gdot:
  1.272605E-05  1.882442E-02 -7.164212E-06 -1.161175E-02  2.311741E-02  3.211391E-03
# Covariance matrix:
  5.3978E-13 -2.7268E-13 -7.0524E-14  1.4285E-13  8.1669E-14 -2.5657E-12
 -2.7268E-13  5.2548E-13  1.9113E-13 -3.4451E-13  4.1467E-13  6.1530E-12
 -7.0524E-14  1.9113E-13  5.2987E-13 -2.6221E-13  1.1530E-13  2.5845E-12
  1.4285E-13 -3.4451E-13 -2.6221E-13  3.1918E-13 -1.1860E-13 -4.8978E-12
  8.1669E-14  4.1467E-13  1.1530E-13 -1.1860E-13  1.5815E-12  2.0363E-12
 -2.5657E-12  6.1530E-12  2.5845E-12 -4.8978E-12  2.0363E-12  8.7695E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -17.131198   25.029478    0.614548   -0.235175   -0.763311  2456545.827198
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:           63.82177 +/-     0.052
Argument of Peri:      131.24213 +/-     0.061
Long of Asc Node:      179.26272 +/-     0.001
Inclination:            35.64794 +/-     0.001
Eccentricity:         0.13402505 +/-    0.0004
Semi-Major Axis:     46.02610641 +/-    0.0124
Time of Perihelion: 2436326.9663 +/-      18.5
Perihelion:          39.85745497 +/-    0.0230
Aphelion:            52.19475785 +/-    0.0247
Period (y)              312.2587 +/-      0.13
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           38.43926671 +/-    0.0020
Ecliptic Y           17.27357978 +/-    0.0009
Ecliptic Z          -12.74225970 +/-    0.0007
Ecliptic XDOT        -0.00098713 +/-    0.0000
Ecliptic YDOT         0.00200129 +/-    0.0000
Ecliptic ZDOT        -0.00142609 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   44.02626029 +/-    0.0018
Geocenter to KBO     43.25737193 +/-    0.0024
# Hcoef:  7.17

The following table shows the complete astrometric record for 13RE157. 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 (13RE157) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.32642  01 57 38.605  -06 16 56.34  23.7r 13RE157   W84  C~52RO      
2013 10  11.22586  01 55 44.669  -06 36 23.16  23.5i 13RE157   W84  C~52RO      
2014 09  25.26736  02 01 50.880  -06 40 10.89  23.5i 13RE157   W84  C~52RO      
2014 09  25.26874  02 01 50.882  -06 40 10.98  24.1g 13RE157   W84  C~52RO      
2016 09  11.26392  02 12 30.433  -06 57 55.53  23.8i 13RE157   W84  C~52RO      
2016 10  22.29602  02 09 56.546  -07 22 57.02  22.8i 13RE157   W84  C~52RO      
2017 10  22.21469  02 14 54.855  -07 35 43.40  23.3r 13RE157   W84  C~52RO      
2017 10  22.21606  02 14 54.858  -07 35 43.67  23.2i 13RE157   W84  C~52RO      
2017 12  14.06627  02 11 29.101  -07 49 04.86  24.1r 13RE157   W84  C~52RO      
2018 11  17.15165  02 17 59.196  -07 58 31.06  23.1i 13RE157   W84  C~52RO      

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     0.09       0.00    -0.14
     2   0.0846      0.00    -0.17       0.00     0.25
     3   1.0402      0.00     0.06       0.00     0.01
     4   1.0402      0.00     0.16       0.00    -0.03
     5   3.0033      0.00    -0.25       0.00     0.06
     6   3.1156      0.00    -0.05       0.00    -0.26
     7   4.1147      0.00     0.06       0.00     0.11
     8   4.1147      0.00     0.20       0.00    -0.12
     9   4.2594      0.00    -0.07       0.00    -0.00
    10   5.1850      0.00     0.02       0.00     0.15

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.

13RE157    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        46.251    46.251    46.251
ecceobj         0.138     0.138     0.138
incobj         35.548    35.548    35.548
qmin           39.039    39.039    39.042
qmax           53.250    53.234    53.203
amean          45.968    45.968    45.968
amin           45.599    45.593    45.599
amax           46.386    46.389    46.381
emean           0.134     0.134     0.134
emin            0.121     0.121     0.120
emax            0.148     0.148     0.147
imean          35.270    35.270    35.270
imin           35.014    35.011    35.021
imax           35.534    35.528    35.540
excite_mean     0.593     0.593     0.593
fracstop        1.000     1.000     1.000
cjmean          2.655     2.655     2.655

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       195.6     195.6     195.7
kozaiamp        180.0     180.0     179.9