Orbit Fit and Astrometric record for 13RW157

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: 13RW157   
# Created Fri Dec  3 02:11:55 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     13 observations of     13
# Arc:   5.02y
# First observation: 2013/09/11
#  Last observation: 2018/09/17
# Chi-squared of fit:     7.08 DOF:     20 RMS:  0.13
# Min/Max residuals:    -0.31    0.23
# Exact a, adot, b, bdot, g, gdot:
  1.728148E-05  2.878496E-02 -4.540852E-06 -6.967059E-03  2.706275E-02  5.426473E-03
# Covariance matrix:
  5.7094E-13 -3.4207E-14  4.7545E-15 -1.9012E-14  7.4204E-13  6.2176E-13
 -3.4207E-14  6.0888E-13  3.0587E-14 -1.5071E-13  2.9890E-13  5.0102E-12
  4.7545E-15  3.0587E-14  2.0270E-13 -6.0205E-14  2.3389E-14  2.7023E-13
 -1.9012E-14 -1.5071E-13 -6.0205E-14  7.1403E-14 -1.0649E-13 -1.3259E-12
  7.4204E-13  2.9890E-13  2.3389E-14 -1.0649E-13  1.6086E-12  3.5197E-12
  6.2176E-13  5.0102E-12  2.7023E-13 -1.3259E-12  3.5197E-12  4.4066E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.009508   -1.279440    0.180913    0.017559   -0.990970  2456546.776488
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:           32.50669 +/-     0.022
Argument of Peri:      122.55448 +/-     0.042
Long of Asc Node:      182.51173 +/-     0.000
Inclination:            13.62162 +/-     0.000
Eccentricity:         0.25390922 +/-    0.0002
Semi-Major Axis:     46.71560970 +/-    0.0117
Time of Perihelion: 2446015.6914 +/-       8.3
Perihelion:          34.85408575 +/-    0.0138
Aphelion:            58.57713365 +/-    0.0182
Period (y)              319.3017 +/-      0.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           37.92276985 +/-    0.0017
Ecliptic Y           -1.02482981 +/-    0.0001
Ecliptic Z            0.65082945 +/-    0.0000
Ecliptic XDOT         0.00062002 +/-    0.0000
Ecliptic YDOT         0.00289765 +/-    0.0000
Ecliptic ZDOT        -0.00069491 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.94208460 +/-    0.0017
Geocenter to KBO     36.95107587 +/-    0.0017
# Hcoef:  7.81

The following table shows the complete astrometric record for 13RW157. 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 (13RW157) followed by the observatory code and reference code for the source of the astrometry.

2013 09  11.27571  23 53 41.913  +00 25 02.46  24.4g 13RW157   W84  C~52RP      
2013 09  30.14745  23 52 12.760  +00 14 01.81  23.5r 13RW157   W84  C~52RP      
2013 10  12.09918  23 51 18.612  +00 07 13.22  22.9i 13RW157   W84  C~52RP      
2013 10  13.06520  23 51 14.433  +00 06 41.09  22.5z 13RW157   W84  C~52RP      
2013 10  13.08002  23 51 14.360  +00 06 40.60  23.6i 13RW157   W84  C~52RP      
2013 10  28.05807  23 50 15.214  -00 01 00.67  24.0r 13RW157   W84  C~52RP      
2013 10  28.05946  23 50 15.229  -00 01 00.76  23.7i 13RW157   W84  C~52RP      
2014 10  29.11510  23 56 49.874  +00 15 53.56  22.7z 13RW157   W84  C~52RP      
2016 09  22.12035  00 12 33.596  +01 09 41.98  24.4r 13RW157   W84  C~52RP      
2017 08  18.29676  00 21 24.715  +01 44 29.84  24.4g 13RW157   W84  C~52RP      
2017 09  27.24501  00 18 36.790  +01 23 26.81  23.7r 13RW157   W84  C~52RP      
2017 10  22.18020  00 16 44.062  +01 09 39.87  23.2r 13RW157   W84  C~52RP      
2018 09  17.30205  00 25 45.990  +01 45 33.91  23.1i 13RW157   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    -0.13       0.00     0.05
     2   0.0517      0.00    -0.31       0.00    -0.19
     3   0.0844      0.00     0.23       0.00     0.20
     4   0.0870      0.00     0.20       0.00    -0.00
     5   0.0871      0.00     0.08       0.00    -0.00
     6   0.1281      0.00    -0.22       0.00    -0.04
     7   0.1281      0.00     0.08       0.00    -0.09
     8   1.1303      0.00     0.13       0.00     0.09
     9   3.0304      0.00     0.07       0.00     0.03
    10   3.9343      0.00     0.07       0.00     0.02
    11   4.0437      0.00    -0.08       0.00     0.02
    12   4.1120      0.00    -0.14       0.00    -0.07
    13   5.0158      0.00     0.08       0.00     0.00

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.

13RW157    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        47.019    47.019    47.018
ecceobj         0.259     0.259     0.259
incobj         13.589    13.589    13.589
qmin           34.207    34.264    34.167
qmax           60.167    59.910    60.385
amean          46.862    46.770    46.886
amin           46.366    46.245    46.349
amax           47.470    47.366    47.509
emean           0.250     0.249     0.251
emin            0.233     0.231     0.234
emax            0.268     0.266     0.271
imean          13.975    13.952    13.939
imin           13.048    13.027    12.993
imax           14.790    14.801    14.789
excite_mean     0.348     0.347     0.348
fracstop        1.000     1.000     1.000
cjmean          2.986     2.986     2.987

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       182.7     184.8     181.9
kozaiamp        180.0     180.0     180.0