Orbit Fit and Astrometric record for 13RY157

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: 13RY157   
# Created Wed Dec  8 02:11:58 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     23 observations of     23
# Arc:   5.16y
# First observation: 2013/09/11
#  Last observation: 2018/11/09
# Chi-squared of fit:     7.40 DOF:     40 RMS:  0.10
# Min/Max residuals:    -0.21    0.23
# Exact a, adot, b, bdot, g, gdot:
  1.560347E-05  2.267703E-02 -1.984040E-06 -8.541782E-04  2.370772E-02 -2.299078E-03
# Covariance matrix:
  6.4419E-13 -8.5053E-14 -2.5552E-15  2.2745E-17  4.2487E-13  4.4965E-14
 -8.5053E-14  2.2028E-13  4.7484E-15 -8.5462E-15  1.7661E-13  2.1253E-12
 -2.5552E-15  4.7484E-15  2.7811E-13 -7.5283E-14  1.5804E-15  5.1045E-14
  2.2745E-17 -8.5462E-15 -7.5283E-14  2.6661E-14 -8.2746E-15 -9.3801E-14
  4.2487E-13  1.7661E-13  1.5804E-15 -8.2746E-15  6.7572E-13  2.1178E-12
  4.4965E-14  2.1253E-12  5.1045E-14 -9.3801E-14  2.1178E-12  2.3348E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.892073    1.159257    0.222536   -0.015199   -0.982490  2456546.799288
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:          282.40332 +/-     0.044
Argument of Peri:      292.02884 +/-     0.048
Long of Asc Node:      158.90184 +/-     0.004
Inclination:             2.32981 +/-     0.000
Eccentricity:         0.10886032 +/-    0.0002
Semi-Major Axis:     43.67695142 +/-    0.0063
Time of Perihelion: 2479272.2135 +/-      22.2
Perihelion:          38.92226462 +/-    0.0110
Aphelion:            48.43163822 +/-    0.0118
Period (y)              288.6600 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           43.15319880 +/-    0.0015
Ecliptic Y            0.65378345 +/-    0.0000
Ecliptic Z           -0.65681077 +/-    0.0000
Ecliptic XDOT        -0.00032612 +/-    0.0000
Ecliptic YDOT         0.00261172 +/-    0.0000
Ecliptic ZDOT        -0.00009436 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   43.16321785 +/-    0.0015
Geocenter to KBO     42.18044533 +/-    0.0015
# Hcoef:  6.91

The following table shows the complete astrometric record for 13RY157. 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 (13RY157) followed by the observatory code and reference code for the source of the astrometry.

2013 09  11.29851  00 05 40.416  -00 21 26.61  24.1g 13RY157   W84  C~52RP      
2013 11  22.06122  00 01 21.475  -00 49 28.86  23.9r 13RY157   W84  C~52RP      
2013 11  22.08831  00 01 21.431  -00 49 29.30  22.8i 13RY157   W84  C~52RP      
2013 11  23.09553  00 01 19.678  -00 49 39.89  23.4i 13RY157   W84  C~52RP      
2014 10  29.13068  00 07 15.219  -00 14 33.86  22.6z 13RY157   W84  C~52RP      
2014 11  13.09960  00 06 29.566  -00 19 23.22  23.0z 13RY157   W84  C~52RP      
2015 11  02.09653  00 11 53.254  +00 12 22.90  23.1r 13RY157   W84  C~52RP      
2016 10  02.17611  00 18 46.473  +00 53 50.98  22.7i 13RY157   W84  C~52RP      
2016 10  02.17749  00 18 46.458  +00 53 50.97  22.8r 13RY157   W84  C~52RP      
2016 11  30.10650  00 15 32.808  +00 33 19.35  23.2i 13RY157   W84  C~52RP      
2016 11  30.10788  00 15 32.798  +00 33 19.49  23.5r 13RY157   W84  C~52RP      
2016 12  04.09067  00 15 27.684  +00 32 50.36  22.7z 13RY157   W84  C~52RP      
2016 12  05.08620  00 15 26.616  +00 32 44.34  23.1r 13RY157   W84  C~52RP      
2016 12  05.08759  00 15 26.612  +00 32 44.55  22.8i 13RY157   W84  C~52RP      
2016 12  05.09585  00 15 26.613  +00 32 44.49  22.5z 13RY157   W84  C~52RP      
2017 09  27.19377  00 24 04.496  +01 25 01.83  23.6r 13RY157   W84  C~52RP      
2017 09  27.19514  00 24 04.485  +01 25 01.60  23.7i 13RY157   W84  C~52RP      
2017 09  27.19652  00 24 04.493  +01 25 01.63  24.3g 13RY157   W84  C~52RP      
2017 10  12.18111  00 22 59.317  +01 17 55.89  23.3g 13RY157   W84  C~52RP      
2017 10  22.18159  00 22 17.988  +01 13 29.14  23.2r 13RY157   W84  C~52RP      
2017 10  22.18295  00 22 17.977  +01 13 29.13  22.6i 13RY157   W84  C~52RP      
2018 10  18.15211  00 27 31.664  +01 44 06.00  22.9z 13RY157   W84  C~52RP      
2018 11  09.14493  00 26 09.365  +01 35 23.67  22.8r 13RY157   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    -0.21       0.00     0.23
     2   0.1965      0.00    -0.10       0.00    -0.02
     3   0.1965      0.00    -0.00       0.00    -0.17
     4   0.1993      0.00     0.17       0.00    -0.01
     5   1.1303      0.00     0.18       0.00    -0.01
     6   1.1713      0.00     0.07       0.00    -0.02
     7   2.1404      0.00     0.04       0.00     0.01
     8   3.0578      0.00     0.07       0.00     0.11
     9   3.0578      0.00    -0.07       0.00     0.14
    10   3.2192      0.00     0.04       0.00    -0.19
    11   3.2192      0.00    -0.08       0.00    -0.04
    12   3.2301      0.00    -0.04       0.00    -0.03
    13   3.2328      0.00    -0.02       0.00    -0.15
    14   3.2328      0.00    -0.06       0.00     0.07
    15   3.2328      0.00     0.09       0.00     0.05
    16   4.0435      0.00    -0.07       0.00     0.08
    17   4.0435      0.00    -0.14       0.00    -0.11
    18   4.0435      0.00     0.07       0.00    -0.04
    19   4.0846      0.00     0.06       0.00     0.14
    20   4.1119      0.00     0.09       0.00    -0.02
    21   4.1119      0.00     0.00       0.00    -0.00
    22   5.1002      0.00     0.05       0.00     0.16
    23   5.1604      0.00    -0.02       0.00    -0.13

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.

13RY157    quality flag:3

Type:         7:4EEE    7:4EEE    7:4EEE

axisobj        43.912    43.912    43.913
ecceobj         0.108     0.108     0.108
incobj          2.323     2.323     2.323
qmin           38.431    38.435    38.431
qmax           49.450    49.447    49.453
amean          43.726    43.726    43.726
amin           43.314    43.312    43.310
amax           44.174    44.173    44.176
emean           0.108     0.108     0.108
emin            0.094     0.094     0.094
emax            0.120     0.120     0.120
imean           2.676     2.676     2.676
imin            1.778     1.778     1.778
imax            3.522     3.522     3.523
excite_mean     0.118     0.118     0.118
fracstop        1.000     1.000     1.000
cjmean          3.081     3.081     3.081

libcent 0       181.7     182.7     181.1
libamp  0       128.5     127.8     128.6
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       165.6     165.5     165.8
kozaiamp        180.0     180.0     180.0