Orbit Fit and Astrometric record for 13RR157

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: 13RR157   
# Created Wed Dec  8 02:11:57 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     14 observations of     14
# Arc:   5.21y
# First observation: 2013/09/11
#  Last observation: 2018/11/26
# Chi-squared of fit:     3.75 DOF:     22 RMS:  0.09
# Min/Max residuals:    -0.18    0.21
# Exact a, adot, b, bdot, g, gdot:
  1.472771E-05  2.565602E-02 -9.169579E-06 -1.479057E-02  2.796512E-02 -7.196303E-04
# Covariance matrix:
  3.5082E-13 -1.5991E-13 -1.7409E-14  4.3838E-14 -1.7036E-14 -6.8134E-13
 -1.5991E-13  3.3366E-13  8.0255E-14 -2.0202E-13 -2.1746E-14  3.1226E-12
 -1.7409E-14  8.0255E-14  3.5782E-13 -1.4999E-13 -2.6278E-14  8.6309E-13
  4.3838E-14 -2.0202E-13 -1.4999E-13  1.7931E-13  6.5582E-14 -2.1722E-12
 -1.7036E-14 -2.1746E-14 -2.6278E-14  6.5582E-14  8.7124E-13 -8.6480E-13
 -6.8134E-13  3.1226E-12  8.6309E-13 -2.1722E-12 -8.6480E-13  3.3467E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   12.280145  -25.407258   -0.238452    0.208293   -0.956494  2456546.681568
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:          337.85590 +/-     0.249
Argument of Peri:      181.25658 +/-     0.274
Long of Asc Node:      174.66895 +/-     0.000
Inclination:            32.14393 +/-     0.000
Eccentricity:         0.04450272 +/-    0.0001
Semi-Major Axis:     38.28194752 +/-    0.0057
Time of Perihelion: 2461868.1350 +/-      62.5
Perihelion:          36.57829670 +/-    0.0065
Aphelion:            39.98559835 +/-    0.0070
Period (y)              236.8641 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           32.54774939 +/-    0.0011
Ecliptic Y          -15.19296583 +/-    0.0005
Ecliptic Z            7.60527841 +/-    0.0003
Ecliptic XDOT         0.00128752 +/-    0.0000
Ecliptic YDOT         0.00216508 +/-    0.0000
Ecliptic ZDOT        -0.00142975 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.71543581 +/-    0.0010
Geocenter to KBO     35.75888534 +/-    0.0012
# Hcoef:  7.36

The following table shows the complete astrometric record for 13RR157. 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 (13RR157) followed by the observatory code and reference code for the source of the astrometry.

2013 09  11.18079  22 08 00.625  +01 37 34.53  23.0g 13RR157   W84  C~52RP      
2013 09  13.13207  22 07 51.521  +01 36 12.48  22.7i 13RR157   W84  C~52RP      
2013 09  13.14596  22 07 51.463  +01 36 11.80  22.4z 13RR157   W84  C~52RP      
2013 10  10.08498  22 06 05.928  +01 17 04.89  23.5r 13RR157   W84  C~52RP      
2016 08  15.23754  22 30 19.581  +01 06 42.31  22.3z 13RR157   W84  C~52RP      
2016 08  26.22678  22 29 25.386  +01 00 11.03  23.1r 13RR157   W84  C~52RP      
2016 08  26.22814  22 29 25.369  +01 00 11.07  22.8i 13RR157   W84  C~52RP      
2016 08  26.22951  22 29 25.374  +01 00 10.96  23.6g 13RR157   W84  C~52RP      
2016 09  23.11646  22 27 10.943  +00 41 12.99  23.4i 13RR157   W84  C~52RP      
2016 09  26.09636  22 26 58.025  +00 39 06.59  23.0r 13RR157   W84  C~52RP      
2016 09  26.09772  22 26 58.024  +00 39 06.55  24.0g 13RR157   W84  C~52RP      
2017 09  27.12752  22 33 36.898  +00 22 30.00  22.4r 13RR157   W84  C~52RP      
2017 11  09.01584  22 31 37.762  -00 04 10.85  23.3g 13RR157   W84  C~52RP      
2018 11  26.03965  22 38 11.635  -00 26 45.16  22.6z 13RR157   W84  C~52RP      

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    -0.10       0.00     0.14
     2   0.0053      0.00    -0.03       0.00     0.00
     3   0.0054      0.00     0.09       0.00    -0.09
     4   0.0791      0.00     0.05       0.00    -0.08
     5   2.9269      0.00    -0.14       0.00     0.06
     6   2.9570      0.00     0.04       0.00    -0.08
     7   2.9570      0.00    -0.12       0.00     0.01
     8   2.9570      0.00     0.06       0.00    -0.05
     9   3.0334      0.00     0.10       0.00     0.05
    10   3.0415      0.00     0.02       0.00     0.02
    11   3.0415      0.00     0.10       0.00     0.04
    12   4.0437      0.00     0.21       0.00     0.09
    13   4.1611      0.00    -0.18       0.00     0.00
    14   5.2070      0.00    -0.03       0.00    -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.

13RR157    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        38.393    38.393    38.393
ecceobj         0.048     0.048     0.048
incobj         32.072    32.072    32.072
qmin           35.946    35.954    35.942
qmax           41.002    41.023    40.963
amean          38.396    38.396    38.396
amin           38.121    38.124    38.122
amax           38.689    38.688    38.681
emean           0.049     0.049     0.049
emin            0.038     0.038     0.038
emax            0.061     0.061     0.060
imean          31.791    31.791    31.791
imin           31.385    31.382    31.382
imax           32.183    32.173    32.187
excite_mean     0.529     0.529     0.529
fracstop        1.000     1.000     1.000
cjmean          2.701     2.701     2.701

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       191.3     191.4     191.2
kozaiamp        180.0     179.9     180.0