Orbit Fit and Astrometric record for 13RF157

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: 13RF157   
# Created Sat Dec  4 02:11:55 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     10 observations of     10
# Arc:   5.16y
# First observation: 2013/09/10
#  Last observation: 2018/11/07
# Chi-squared of fit:     4.00 DOF:     14 RMS:  0.11
# Min/Max residuals:    -0.20    0.21
# Exact a, adot, b, bdot, g, gdot:
  2.019392E-05  3.438111E-02  2.436517E-06  4.056573E-03  2.794611E-02 -1.198015E-03
# Covariance matrix:
  5.1797E-13 -1.3756E-13  9.2599E-15 -7.0751E-15  1.4296E-13 -3.3063E-13
 -1.3756E-13  8.3801E-13  3.6400E-15  9.6513E-14  4.6700E-13  5.5945E-12
  9.2599E-15  3.6400E-15  4.7856E-13 -1.1386E-13  3.8176E-14 -1.1510E-14
 -7.0751E-15  9.6513E-14 -1.1386E-13  5.0687E-14  4.0409E-14  6.9182E-13
  1.4296E-13  4.6700E-13  3.8176E-14  4.0409E-14  8.7725E-13  2.6482E-12
 -3.3063E-13  5.5945E-12 -1.1510E-14  6.9182E-13  2.6482E-12  3.9788E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -19.868876   31.328319    0.698447   -0.246818   -0.683280  2456545.828898
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:          356.15615 +/-     0.013
Argument of Peri:      297.77748 +/-     0.035
Long of Asc Node:      101.77643 +/-     0.001
Inclination:            20.44036 +/-     0.000
Eccentricity:         0.42431550 +/-    0.0001
Semi-Major Axis:     63.04476390 +/-    0.0149
Time of Perihelion: 2458498.7502 +/-      64.5
Perihelion:          36.29389334 +/-    0.0115
Aphelion:            89.79563445 +/-    0.0226
Period (y)              500.5895 +/-      0.18
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           29.72961650 +/-    0.0010
Ecliptic Y           17.28185624 +/-    0.0006
Ecliptic Z          -12.16151819 +/-    0.0004
Ecliptic XDOT        -0.00173640 +/-    0.0000
Ecliptic YDOT         0.00288887 +/-    0.0000
Ecliptic ZDOT         0.00041379 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.47489476 +/-    0.0008
Geocenter to KBO     35.78321730 +/-    0.0012
# Hcoef:  8.22

The following table shows the complete astrometric record for 13RF157. 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 (13RF157) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.32812  02 24 01.810  -06 44 13.62  24.6g 13RF157   W84  C~52RO      
2013 10  11.22741  02 21 59.461  -07 02 31.04  24.3r 13RF157   W84  C~52RO      
2013 10  11.22879  02 21 59.447  -07 02 31.11  23.2i 13RF157   W84  C~52RO      
2016 09  23.27586  02 44 44.309  -04 09 33.54  23.3i 13RF157   W84  C~52RO      
2017 09  14.38359  02 52 19.271  -03 09 28.25  23.2z 13RF157   W84  C~52RO      
2017 10  17.30394  02 50 11.811  -03 27 17.07  23.8i 13RF157   W84  C~52RO      
2017 10  29.31172  02 49 11.084  -03 32 31.60  24.1r 13RF157   W84  C~52RO      
2017 11  27.17267  02 46 41.750  -03 39 36.30  23.5i 13RF157   W84  C~52RO      
2018 01  17.08852  02 44 05.794  -03 27 34.24  24.0i 13RF157   W84  C~52RO      
2018 11  07.24476  02 55 34.857  -02 40 12.69  23.7g 13RF157   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    -0.13       0.00    -0.08
     2   0.0846      0.00     0.10       0.00     0.09
     3   0.0846      0.00    -0.01       0.00     0.06
     4   3.0361      0.00    -0.02       0.00    -0.11
     5   4.0111      0.00     0.10       0.00    -0.20
     6   4.1012      0.00     0.21       0.00     0.02
     7   4.1341      0.00     0.08       0.00     0.15
     8   4.2131      0.00    -0.12       0.00     0.04
     9   4.3525      0.00    -0.00       0.00    -0.06
    10   5.1579      0.00    -0.14       0.00     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.

13RF157    quality flag:3

Type:          3:1EE     3:1EE     3:1EE
Type:          3:1II     3:1II     3:1II

axisobj        63.617    63.617    63.618
ecceobj         0.429     0.429     0.429
incobj         20.450    20.450    20.450
qmin           34.714    34.718    34.710
qmax           92.037    92.054    92.017
amean          62.631    62.630    62.630
amin           61.817    61.815    61.819
amax           63.747    63.750    63.740
emean           0.423     0.423     0.423
emin            0.383     0.384     0.383
emax            0.445     0.445     0.445
imean          18.506    18.517    18.495
imin           17.466    17.469    17.464
imax           21.170    21.197    21.140
excite_mean     0.529     0.529     0.529
fracstop        1.000     1.000     1.000
cjmean          2.959     2.959     2.959

libcent 0        76.8      76.4      76.4
libamp  0        31.8      32.0      31.9
libcent 1       239.8     239.3     240.2
libamp  1        98.7      99.2      98.4
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       253.9     253.7     254.0
kozaiamp         36.2      36.2      35.9