Orbit Fit and Astrometric record for 13RD157

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: 13RD157   
# Created Sat Nov 27 02:11:58 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     23 observations of     23
# Arc:   5.21y
# First observation: 2013/09/10
#  Last observation: 2018/11/27
# Chi-squared of fit:     3.66 DOF:     40 RMS:  0.07
# Min/Max residuals:    -0.14    0.19
# Exact a, adot, b, bdot, g, gdot:
  1.717632E-05  3.190599E-02 -3.216892E-06 -6.087583E-03  2.951584E-02  2.356856E-03
# Covariance matrix:
  2.8600E-13 -1.9357E-13 -1.7477E-14  3.3437E-14  1.2185E-13 -1.1899E-12
 -1.9357E-13  3.2968E-13  3.3346E-14 -6.7500E-14 -1.8246E-15  2.3667E-12
 -1.7477E-14  3.3346E-14  1.8165E-13 -5.3382E-14 -5.4801E-15  2.5673E-13
  3.3437E-14 -6.7500E-14 -5.3382E-14  3.3422E-14  4.9198E-15 -5.1625E-13
  1.2185E-13 -1.8246E-15 -5.4801E-15  4.9198E-15  3.8476E-13 -2.2822E-13
 -1.1899E-12  2.3667E-12  2.5673E-13 -5.1625E-13 -2.2822E-13  1.8132E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -5.704020   -1.845323    0.187180   -0.098321   -0.985353  2456545.823698
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:           37.37338 +/-     0.036
Argument of Peri:      162.35402 +/-     0.047
Long of Asc Node:      151.11145 +/-     0.001
Inclination:            12.17068 +/-     0.000
Eccentricity:         0.09818610 +/-    0.0001
Semi-Major Axis:     37.65307649 +/-    0.0043
Time of Perihelion: 2447785.3927 +/-       8.5
Perihelion:          33.95606788 +/-    0.0065
Aphelion:            41.35008510 +/-    0.0071
Period (y)              231.0516 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           34.67829430 +/-    0.0007
Ecliptic Y           -1.30150255 +/-    0.0000
Ecliptic Z           -3.36746083 +/-    0.0001
Ecliptic XDOT         0.00025045 +/-    0.0000
Ecliptic YDOT         0.00295166 +/-    0.0000
Ecliptic ZDOT        -0.00058347 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   34.86567285 +/-    0.0007
Geocenter to KBO     33.88010057 +/-    0.0007
# Hcoef:  7.58

The following table shows the complete astrometric record for 13RD157. 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 (13RD157) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.32292  00 02 20.155  -05 57 56.65  23.9g 13RD157   W84  C~52RO      
2013 09  30.16406  00 00 37.423  -06 10 18.52  23.2r 13RD157   W84  C~52RO      
2013 09  30.16553  00 00 37.413  -06 10 18.59  23.0i 13RD157   W84  C~52RO      
2013 10  12.12774  23 59 37.062  -06 16 57.94  22.5z 13RD157   W84  C~52RO      
2013 10  13.15178  23 59 32.100  -06 17 29.46  22.4i 13RD157   W84  C~52RO      
2013 10  13.15458  23 59 32.083  -06 17 29.63  22.4z 13RD157   W84  C~52RO      
2014 08  18.29436  00 11 21.011  -05 18 40.57  22.8i 13RD157   W84  C~52RO      
2014 11  14.03021  00 04 41.063  -06 04 51.25  23.0z 13RD157   W84  C~52RO      
2014 11  15.05821  00 04 38.150  -06 05 04.04  22.7z 13RD157   W84  C~52RO      
2015 08  18.32343  00 18 32.727  -04 53 43.20  22.6r 13RD157   W84  C~52RO      
2015 11  03.09876  00 12 29.899  -05 37 10.81  23.5r 13RD157   W84  C~52RO      
2016 09  10.26359  00 23 59.463  -04 43 22.24  22.8i 13RD157   W84  C~52RO      
2016 09  10.26496  00 23 59.453  -04 43 22.25  23.1r 13RD157   W84  C~52RO      
2016 09  10.26633  00 23 59.450  -04 43 22.22  23.8g 13RD157   W84  C~52RO      
2017 09  25.26109  00 29 53.457  -04 27 30.55  23.0r 13RD157   W84  C~52RO      
2017 09  26.30165  00 29 48.067  -04 28 09.26  22.7i 13RD157   W84  C~52RO      
2017 09  27.26030  00 29 43.118  -04 28 44.85  23.5g 13RD157   W84  C~52RO      
2017 10  17.23932  00 28 00.682  -04 40 08.71  23.0r 13RD157   W84  C~52RO      
2017 10  27.16992  00 27 13.541  -04 44 49.57  22.3z 13RD157   W84  C~52RO      
2017 10  29.12386  00 27 04.837  -04 45 38.54  22.2z 13RD157   W84  C~52RO      
2018 11  08.18392  00 33 28.419  -04 24 04.45  23.1r 13RD157   W84  C~52RO      
2018 11  08.18529  00 33 28.415  -04 24 04.31  22.9i 13RD157   W84  C~52RO      
2018 11  27.08458  00 32 28.078  -04 28 10.10  23.6g 13RD157   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    -0.01       0.00    -0.02
     2   0.0543      0.00     0.07       0.00     0.02
     3   0.0543      0.00     0.03       0.00     0.00
     4   0.0871      0.00    -0.00       0.00     0.02
     5   0.0899      0.00     0.01       0.00     0.09
     6   0.0899      0.00    -0.04       0.00     0.00
     7   0.9363      0.00    -0.01       0.00    -0.06
     8   1.1765      0.00    -0.06       0.00    -0.07
     9   1.1793      0.00    -0.02       0.00    -0.08
    10   1.9357      0.00    -0.01       0.00     0.04
    11   2.1459      0.00     0.11       0.00    -0.04
    12   3.0005      0.00    -0.02       0.00    -0.01
    13   3.0005      0.00    -0.07       0.00     0.03
    14   3.0005      0.00    -0.01       0.00     0.11
    15   4.0409      0.00    -0.02       0.00    -0.01
    16   4.0437      0.00    -0.08       0.00     0.06
    17   4.0464      0.00     0.15       0.00     0.03
    18   4.1011      0.00     0.10       0.00    -0.04
    19   4.1283      0.00    -0.14       0.00    -0.11
    20   4.1336      0.00     0.19       0.00     0.14
    21   5.1605      0.00    -0.04       0.00    -0.12
    22   5.1605      0.00    -0.01       0.00     0.04
    23   5.2122      0.00    -0.01       0.00     0.03

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.

13RD157    quality flag:3

Type:          7:5EE     7:5EE     7:5EE

axisobj        37.839    37.839    37.839
ecceobj         0.103     0.103     0.103
incobj         12.142    12.142    12.142
qmin           32.693    32.693    32.693
qmax           42.912    42.912    42.912
amean          37.685    37.685    37.685
amin           37.380    37.380    37.380
amax           38.018    38.018    38.018
emean           0.110     0.110     0.110
emin            0.084     0.084     0.084
emax            0.129     0.129     0.129
imean           6.877     6.877     6.877
imin            3.337     3.337     3.337
imax           11.053    11.053    11.053
excite_mean     0.165     0.165     0.165
fracstop        1.000     1.000     1.000
cjmean          3.006     3.006     3.006

libcent 0       181.8     181.8     181.8
libamp  0        36.7      36.7      36.7
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       177.0     177.0     177.0
kozaiamp        180.0     180.0     180.0