Orbit Fit and Astrometric record for 13RS157

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: 13RS157   
# Created Sat Dec  4 02:11:56 2021
# Orbit generated from Bernstein formalism
# Fitting     19 observations of     19
# Arc:   5.00y
# First observation: 2013/09/11
#  Last observation: 2018/09/11
Preliminary a, adot, b, bdot, g, gdot:
   0.000032   0.022717   0.000004   0.002160   0.023954   0.000000
# Chi-squared of fit:     7.34 DOF:     32 RMS:  0.11
# Min/Max residuals:    -0.25    0.19
# Exact a, adot, b, bdot, g, gdot:
  1.548287E-05  2.235295E-02  2.660934E-06  2.120360E-03  2.343470E-02 -3.969539E-03
# Covariance matrix:
  2.5992E-13 -1.2098E-13  6.3148E-15 -6.2664E-15  1.9449E-13 -6.5680E-13
 -1.2098E-13  2.6761E-13 -6.9974E-15  2.3113E-14 -1.5012E-14  2.5766E-12
  6.3148E-15 -6.9974E-15  2.0231E-13 -5.3462E-14  2.1563E-14 -6.6939E-14
 -6.2664E-15  2.3113E-14 -5.3462E-14  2.4373E-14 -6.7631E-16  2.4289E-13
  1.9449E-13 -1.5012E-14  2.1563E-14 -6.7631E-16  9.2108E-13  1.2655E-13
 -6.5680E-13  2.5766E-12 -6.6939E-14  2.4289E-13  1.2655E-13  2.7139E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    9.602403  -28.085744   -0.284009    0.161339   -0.953117  2456546.685928
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:          294.19058 +/-     0.030
Argument of Peri:      146.14826 +/-     0.045
Long of Asc Node:      272.10913 +/-     0.002
Inclination:            10.79182 +/-     0.000
Eccentricity:         0.17539768 +/-    0.0002
Semi-Major Axis:     45.62574161 +/-    0.0083
Time of Perihelion: 2477118.2962 +/-       7.6
Perihelion:          37.62309256 +/-    0.0126
Aphelion:            53.62839065 +/-    0.0144
Period (y)              308.1932 +/-      0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           38.10599756 +/-    0.0015
Ecliptic Y          -20.00954907 +/-    0.0008
Ecliptic Z            7.11818292 +/-    0.0003
Ecliptic XDOT         0.00078341 +/-    0.0000
Ecliptic YDOT         0.00253752 +/-    0.0000
Ecliptic ZDOT         0.00016703 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   43.62473647 +/-    0.0014
Geocenter to KBO     42.67177334 +/-    0.0017
# Hcoef:  6.94

The following table shows the complete astrometric record for 13RS157. 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 (13RS157) followed by the observatory code and reference code for the source of the astrometry.

2013 09  11.18515  22 01 58.937  -01 48 39.33  24.6g 13RS157   W84  C~52RP      
2013 09  13.14889  22 01 51.018  -01 49 29.96  23.6i 13RS157   W84  C~52RP      
2013 09  30.03736  22 00 49.428  -01 56 49.20  23.9r 13RS157   W84  C~52RP      
2013 09  30.05231  22 00 49.368  -01 56 49.74  23.4i 13RS157   W84  C~52RP      
2013 10  11.07745  22 00 17.529  -02 01 21.51  23.0z 13RS157   W84  C~52RP      
2013 10  12.02959  22 00 15.165  -02 01 43.74  23.5i 13RS157   W84  C~52RP      
2013 10  12.03097  22 00 15.164  -02 01 43.62  22.8z 13RS157   W84  C~52RP      
2016 08  15.24169  22 17 55.556  +00 04 48.93  22.4z 13RS157   W84  C~52RP      
2016 08  24.23754  22 17 16.235  +00 01 29.19  22.7i 13RS157   W84  C~52RP      
2016 08  26.23088  22 17 07.454  +00 00 41.79  23.2r 13RS157   W84  C~52RP      
2016 08  26.23226  22 17 07.437  +00 00 41.93  23.7g 13RS157   W84  C~52RP      
2016 09  23.09956  22 15 10.767  -00 11 34.57  22.3i 13RS157   W84  C~52RP      
2016 10  05.09626  22 14 29.077  -00 17 00.54  23.6r 13RS157   W84  C~52RP      
2017 09  27.09709  22 19 40.730  +00 21 22.18  22.6r 13RS157   W84  C~52RP      
2017 09  27.09846  22 19 40.737  +00 21 21.94  22.7i 13RS157   W84  C~52RP      
2017 10  10.10988  22 18 57.633  +00 15 26.83  24.3g 13RS157   W84  C~52RP      
2017 10  22.05596  22 18 27.486  +00 10 26.11  23.2i 13RS157   W84  C~52RP      
2018 09  11.24545  22 25 32.047  +01 03 51.28  22.9r 13RS157   W84  C~52RP      
2018 09  11.24683  22 25 32.045  +01 03 51.40  22.5i 13RS157   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    -0.08       0.00    -0.25
     2   0.0054   -128.94     0.14      -5.72     0.19
     3   0.0516  -1147.73     0.11     -92.89     0.12
     4   0.0517  -1148.76    -0.10     -93.08     0.02
     5   0.0818  -1691.10    -0.10    -180.08    -0.18
     6   0.0844  -1732.09    -0.01    -188.46    -0.08
     7   0.0845  -1732.06     0.08    -188.34     0.05
     8   2.9269  15856.33    -0.16    1328.68     0.16
     9   2.9515  15230.42     0.07    1349.31    -0.06
    10   2.9570  15089.69     0.10    1351.29    -0.03
    11   2.9570  15089.50     0.01    1351.51     0.19
    12   3.0333  13183.22    -0.04    1277.72    -0.01
    13   3.0661  12480.41    -0.16    1192.47     0.03
    14   4.0436  17694.87     0.04    1704.73     0.18
    15   4.0436  17694.88     0.14    1704.46    -0.07
    16   4.0792  16959.49     0.02    1599.08    -0.06
    17   4.1119  16426.85     0.01    1476.25     0.01
    18   4.9995  23583.45    -0.08    2241.98    -0.17
    19   4.9995  23583.46     0.03    2242.11    -0.04

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.

13RS157    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        45.854    45.878    45.830
ecceobj         0.177     0.177     0.177
incobj         10.795    10.794    10.795
qmin           36.830    36.779    36.841
qmax           55.013    55.211    55.026
amean          45.732    45.779    45.711
amin           45.341    45.377    45.319
amax           46.175    46.275    46.158
emean           0.177     0.178     0.177
emin            0.162     0.163     0.163
emax            0.192     0.194     0.192
imean          12.415    12.395    12.432
imin           11.786    11.750    11.798
imax           13.060    13.089    13.056
excite_mean     0.278     0.279     0.278
fracstop        1.000     1.000     1.000
cjmean          3.027     3.027     3.026

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       183.6     181.1     184.9
kozaiamp        180.0     180.0     180.0