Orbit Fit and Astrometric record for 13RC157

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: 13RC157   
# Created Fri Dec  3 02:11:54 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     17 observations of     17
# Arc:   5.16y
# First observation: 2013/09/10
#  Last observation: 2018/11/07
# Chi-squared of fit:    12.21 DOF:     28 RMS:  0.15
# Min/Max residuals:    -0.32    0.33
# Exact a, adot, b, bdot, g, gdot:
  1.994107E-05  4.412757E-02 -1.109733E-06 -6.242786E-03  3.471499E-02 -2.339665E-03
# Covariance matrix:
  4.5661E-13 -2.4190E-13 -2.0372E-14  2.7050E-14  1.0267E-13 -8.1308E-13
 -2.4190E-13  3.5231E-13  3.4494E-14 -5.0159E-14  1.5094E-13  1.4893E-12
 -2.0372E-14  3.4494E-14  2.8398E-13 -7.5866E-14  1.1109E-14  1.5800E-13
  2.7050E-14 -5.0159E-14 -7.5866E-14  3.3092E-14 -2.1561E-14 -2.2878E-13
  1.0267E-13  1.5094E-13  1.1109E-14 -2.1561E-14  4.5163E-13  6.1929E-13
 -8.1308E-13  1.4893E-12  1.5800E-13 -2.2878E-13  6.1929E-13  6.7966E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -10.227192   10.338783    0.392023   -0.164743   -0.913677  2456545.819698
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:          348.71313 +/-     0.010
Argument of Peri:      250.24569 +/-     0.017
Long of Asc Node:      139.48101 +/-     0.001
Inclination:            12.82809 +/-     0.000
Eccentricity:         0.25333581 +/-    0.0001
Semi-Major Axis:     39.34884942 +/-    0.0041
Time of Perihelion: 2459373.1212 +/-      14.0
Perihelion:          29.38037687 +/-    0.0040
Aphelion:            49.31732198 +/-    0.0058
Period (y)              246.8347 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           28.87133173 +/-    0.0005
Ecliptic Y            4.87161576 +/-    0.0001
Ecliptic Z           -5.11461038 +/-    0.0001
Ecliptic XDOT        -0.00089540 +/-    0.0000
Ecliptic YDOT         0.00337424 +/-    0.0000
Ecliptic ZDOT        -0.00045162 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   29.72285363 +/-    0.0005
Geocenter to KBO     28.80605946 +/-    0.0006
# Hcoef:  8.76

The following table shows the complete astrometric record for 13RC157. 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 (13RC157) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.31892  00 54 03.229  -05 18 57.16  23.5g 13RC157   W84  C~52RN      
2013 09  29.21656  00 52 17.400  -05 33 01.72  23.7g 13RC157   W84  C~52RN      
2013 10  02.26639  00 51 59.265  -05 35 11.22  23.5r 13RC157   W84  C~52RN      
2014 10  03.26724  01 01 51.462  -04 55 34.17  23.1i 13RC157   W84  C~52RN      
2014 11  15.09217  00 57 52.540  -05 17 32.76  23.9r 13RC157   W84  C~52RN      
2014 12  06.09197  00 56 39.732  -05 19 47.21  22.9z 13RC157   W84  C~52RN      
2015 11  02.11475  01 08 54.112  -04 32 26.13  23.9r 13RC157   W84  C~52RN      
2016 08  26.35469  01 24 50.358  -03 05 54.44  23.7r 13RC157   W84  C~52RN      
2016 10  22.16760  01 19 51.696  -03 45 55.93  23.8r 13RC157   W84  C~52RN      
2016 10  28.14679  01 19 16.150  -03 49 11.93  23.2i 13RC157   W84  C~52RN      
2016 10  28.25215  01 19 15.501  -03 49 15.10  23.7r 13RC157   W84  C~52RN      
2017 08  22.40165  01 34 56.531  -02 21 27.12  23.7r 13RC157   W84  C~52RN      
2017 08  28.38473  01 34 38.811  -02 25 26.00  23.3g 13RC157   W84  C~52RN      
2018 10  10.30084  01 41 08.705  -02 13 48.50  23.1r 13RC157   W84  C~52RO      
2018 11  07.20873  01 38 20.010  -02 29 46.33  23.3r 13RC157   W84  C~52RO      
2018 11  07.21010  01 38 19.990  -02 29 46.14  23.1i 13RC157   W84  C~52RO      
2018 11  07.21147  01 38 19.975  -02 29 46.22  23.7g 13RC157   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     0.17       0.00    -0.32
     2   0.0517      0.00    -0.15       0.00     0.04
     3   0.0601      0.00     0.01       0.00     0.13
     4   1.0621      0.00     0.07       0.00     0.28
     5   1.1794      0.00    -0.09       0.00     0.12
     6   1.2369      0.00     0.00       0.00    -0.08
     7   2.1432      0.00    -0.06       0.00    -0.32
     8   2.9597      0.00    -0.06       0.00     0.05
     9   3.1153      0.00    -0.05       0.00    -0.03
    10   3.1316      0.00     0.30       0.00     0.01
    11   3.1319      0.00    -0.00       0.00     0.09
    12   3.9482      0.00    -0.16       0.00    -0.17
    13   3.9646      0.00     0.02       0.00     0.33
    14   5.0814      0.00     0.07       0.00     0.05
    15   5.1578      0.00     0.16       0.00    -0.19
    16   5.1578      0.00    -0.02       0.00     0.04
    17   5.1578      0.00    -0.13       0.00    -0.01

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.

13RC157    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.563    39.563    39.563
ecceobj         0.257     0.257     0.257
incobj         12.809    12.809    12.809
qmin           28.993    29.006    28.997
qmax           50.831    50.731    50.733
amean          39.456    39.456    39.456
amin           38.870    38.894    38.864
amax           40.132    40.127    40.119
emean           0.251     0.251     0.251
emin            0.236     0.236     0.236
emax            0.267     0.265     0.266
imean          11.724    11.720    11.721
imin           11.160    11.161    11.159
imax           12.320    12.310    12.283
excite_mean     0.323     0.323     0.323
fracstop        1.000     1.000     1.000
cjmean          2.933     2.933     2.933

libcent 0       180.3     179.8     180.2
libamp  0       132.1     132.6     132.1
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       184.1     184.4     183.7
kozaiamp        179.8     179.9     179.9