Orbit Fit and Astrometric record for 13RL158

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: 13RL158   
# Created Tue Nov 30 02:11:57 2021
# Orbit generated from Bernstein formalism
# Fitting     11 observations of     11
# Arc:   2.99y
# First observation: 2013/09/03
#  Last observation: 2016/08/30
Preliminary a, adot, b, bdot, g, gdot:
  -0.000007   0.027504  -0.000001   0.003674   0.026528   0.000000
# Chi-squared of fit:     3.73 DOF:     16 RMS:  0.10
# Min/Max residuals:    -0.19    0.21
# Exact a, adot, b, bdot, g, gdot:
  1.626990E-05  2.732225E-02  2.174772E-06  3.643376E-03  2.663513E-02 -1.282815E-03
# Covariance matrix:
  5.6820E-13  4.8945E-12  3.8763E-14  6.6087E-13  2.4850E-12  6.1145E-11
  4.8945E-12  8.4838E-10 -1.3706E-13  1.1210E-10  1.8786E-10  1.0143E-08
  3.8763E-14 -1.3706E-13  1.9527E-13 -8.3917E-14  1.2707E-13 -1.4317E-12
  6.6087E-13  1.1210E-10 -8.3917E-14  1.4890E-11  2.4845E-11  1.3404E-09
  2.4850E-12  1.8786E-10  1.2707E-13  2.4845E-11  4.7117E-11  2.2535E-09
  6.1145E-11  1.0143E-08 -1.4317E-12  1.3404E-09  2.2535E-09  1.2130E-07
#      lat0       lon0       xBary       yBary       zBary        JD0
   12.883760  -32.908375   -0.234931    0.219066   -0.957382  2456538.703405
# Heliocentric elements and errors
Epoch:              2456530.5000  =  2013/08/26
Mean Anomaly:          318.20175 +/-     7.888
Argument of Peri:      106.24016 +/-     9.369
Long of Asc Node:      268.76335 +/-     0.016
Inclination:            14.61347 +/-     0.002
Eccentricity:         0.06126996 +/-    0.0087
Semi-Major Axis:     40.27006098 +/-    0.0155
Time of Perihelion: 2467367.9578 +/-    2045.3
Perihelion:          37.80271596 +/-    0.3500
Aphelion:            42.73740601 +/-    0.3501
Period (y)              255.5534 +/-      0.15
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           31.67874663 +/-    0.0079
Ecliptic Y          -20.21759171 +/-    0.0051
Ecliptic Z            8.37149410 +/-    0.0022
Ecliptic XDOT         0.00134163 +/-    0.0000
Ecliptic YDOT         0.00247194 +/-    0.0000
Ecliptic ZDOT         0.00033581 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.50163524 +/-    0.0071
Geocenter to KBO     37.54439953 +/-    0.0097
# Hcoef:  7.31

The following table shows the complete astrometric record for 13RL158. 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 (13RL158) followed by the observatory code and reference code for the source of the astrometry.

2013 09  03.202627 21 39 42.46   -00 20 57.4   23.2g 13RL158   W84  C~55Nc      
2013 09  05.05071  21 39 33.908  -00 21 49.79  23.8g 13RL158   W84  C~55Nc      
2013 09  08.086377 21 39 20.10   -00 23 16.8   23.1g 13RL158   W84  C~55Nc      
2013 09  23.04418  21 38 18.435  -00 30 39.05  23.9g 13RL158   W84  C~55Nc      
2013 09  24.037581 21 38 14.80   -00 31 08.9   23.8g 13RL158   W84  C~55Nc      
2013 09  29.111389 21 37 57.22   -00 33 39.1   22.9r 13RL158   W84  C~55Nc      
2013 09  29.129641 21 37 57.15   -00 33 39.5   23.0i 13RL158   W84  C~55Nc      
2013 10  10.080162 21 37 25.77   -00 38 54.0   23.0r 13RL158   W84  C~55Nc      
2016 08  25.22950  21 57 18.679  +01 52 50.71  23.5z 13RL158   W84  C~55Nc      
2016 08  30.21362  21 56 54.274  +01 50 36.19  22.9i 13RL158   W84  C~55Nc      
2016 08  30.21500  21 56 54.264  +01 50 36.37  22.9r 13RL158   W84  C~55Nc      

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    -0.00
     2   0.0051   -138.41     0.02      -6.54    -0.12
     3   0.0134   -362.69     0.08     -19.39     0.02
     4   0.0543  -1382.24    -0.15    -127.39     0.20
     5   0.0570  -1443.61    -0.11    -137.32    -0.10
     6   0.0709  -1742.33     0.08    -190.86    -0.03
     7   0.0710  -1743.46     0.01    -190.88     0.15
     8   0.1010  -2292.18     0.08    -330.19    -0.12
     9   2.9761  17655.50     0.03    2287.36    -0.19
    10   2.9898  17262.89    -0.03    2282.16    -0.02
    11   2.9898  17262.81    -0.00    2282.38     0.21

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.

13RL158    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.421    40.558    40.354
ecceobj         0.065     0.054     0.077
incobj         14.622    14.629    14.618
qmin           36.882    37.678    36.336
qmax           44.169    43.525    44.653
amean          40.423    40.545    40.335
amin           40.085    40.236    40.015
amax           40.767    40.868    40.671
emean           0.066     0.052     0.079
emin            0.048     0.038     0.062
emax            0.085     0.066     0.098
imean          16.639    16.530    16.689
imin           15.522    15.547    15.419
imax           17.500    17.315    17.565
excite_mean     0.294     0.289     0.298
fracstop        1.000     1.000     1.000
cjmean          2.959     2.963     2.955

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       182.4     177.2     183.4
kozaiamp        180.0     179.9     180.0