Orbit Fit and Astrometric record for 13RM157

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: 13RM157   
# Created Wed Dec  8 02:11:57 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     27 observations of     27
# Arc:   5.00y
# First observation: 2013/09/10
#  Last observation: 2018/09/11
# Chi-squared of fit:    10.04 DOF:     48 RMS:  0.11
# Min/Max residuals:    -0.26    0.23
# Exact a, adot, b, bdot, g, gdot:
  1.385380E-05  1.861073E-02 -3.476845E-06 -4.177027E-03  2.096175E-02  6.748101E-03
# Covariance matrix:
  2.6519E-13 -4.3898E-14  3.9342E-15 -5.0997E-15  1.9124E-13  2.3621E-13
 -4.3898E-14  2.0271E-13  2.2437E-14 -4.6148E-14  1.9849E-13  2.4777E-12
  3.9342E-15  2.2437E-14  1.6002E-13 -4.8836E-14  3.1337E-14  3.1072E-13
 -5.0997E-15 -4.6148E-14 -4.8836E-14  3.0106E-14 -5.9132E-14 -6.3222E-13
  1.9124E-13  1.9849E-13  3.1337E-14 -5.9132E-14  5.5548E-13  3.1079E-12
  2.3621E-13  2.4777E-12  3.1072E-13 -6.3222E-13  3.1079E-12  3.3857E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -6.413074   23.206649    0.588195   -0.091297   -0.813184  2456545.871828
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:           47.32400 +/-     0.020
Argument of Peri:      121.18366 +/-     0.015
Long of Asc Node:      176.56170 +/-     0.001
Inclination:            14.17052 +/-     0.000
Eccentricity:         0.34787020 +/-    0.0003
Semi-Major Axis:     56.72078309 +/-    0.0128
Time of Perihelion: 2436035.3191 +/-      11.1
Perihelion:          36.98931276 +/-    0.0186
Aphelion:            76.45225341 +/-    0.0239
Period (y)              427.1904 +/-      0.14
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           44.55494995 +/-    0.0016
Ecliptic Y           18.46573592 +/-    0.0007
Ecliptic Z           -5.32873780 +/-    0.0002
Ecliptic XDOT        -0.00021503 +/-    0.0000
Ecliptic YDOT         0.00255406 +/-    0.0000
Ecliptic ZDOT        -0.00064046 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   48.52318918 +/-    0.0014
Geocenter to KBO     47.70571587 +/-    0.0017
# Hcoef:  6.58

The following table shows the complete astrometric record for 13RM157. 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 (13RM157) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.37105  01 35 22.961  +03 03 15.80  24.3g 13RM157   W84  C~52RO      
2013 09  10.37398  01 35 22.956  +03 03 15.59  23.3r 13RM157   W84  C~52RO      
2013 09  10.37537  01 35 22.959  +03 03 15.49  23.2i 13RM157   W84  C~52RO      
2013 10  04.18686  01 34 01.326  +02 52 51.24  24.5g 13RM157   W84  C~52RO      
2013 10  13.20151  01 33 26.488  +02 48 53.08  22.9i 13RM157   W84  C~52RO      
2013 10  13.20436  01 33 26.477  +02 48 53.17  22.5z 13RM157   W84  C~52RO      
2013 11  22.15754  01 30 59.489  +02 34 29.85  23.6i 13RM157   W84  C~52RO      
2014 10  21.26080  01 37 15.264  +02 55 41.29  23.4r 13RM157   W84  C~52RO      
2014 10  23.25416  01 37 07.467  +02 54 52.50  22.8i 13RM157   W84  C~52RO      
2014 10  28.21863  01 36 48.111  +02 52 53.95  22.9i 13RM157   W84  C~52RO      
2014 12  13.11163  01 34 25.659  +02 40 59.35  22.8z 13RM157   W84  C~52RO      
2015 11  06.18365  01 40 30.917  +02 59 36.61  23.4i 13RM157   W84  C~52RO      
2016 08  26.34334  01 48 40.431  +03 37 58.23  23.7r 13RM157   W84  C~52RO      
2016 10  27.22292  01 45 18.528  +03 12 43.33  23.7r 13RM157   W84  C~52RO      
2016 10  28.23976  01 45 14.601  +03 12 19.98  23.1i 13RM157   W84  C~52RO      
2016 10  29.18071  01 45 10.963  +03 11 58.36  23.3z 13RM157   W84  C~52RO      
2016 11  05.14930  01 44 44.428  +03 09 26.46  22.9i 13RM157   W84  C~52RO      
2016 11  05.15068  01 44 44.446  +03 09 26.35  23.6r 13RM157   W84  C~52RO      
2017 08  22.36990  01 52 53.976  +03 48 35.82  23.5r 13RM157   W84  C~52RO      
2017 08  22.37127  01 52 53.979  +03 48 35.66  23.8i 13RM157   W84  C~52RO      
2017 08  22.37263  01 52 53.990  +03 48 35.69  24.3g 13RM157   W84  C~52RO      
2017 08  22.40850  01 52 53.937  +03 48 35.02  22.6z 13RM157   W84  C~52RO      
2017 08  27.35830  01 52 45.504  +03 46 56.76  23.9r 13RM157   W84  C~52RO      
2017 08  27.35967  01 52 45.491  +03 46 56.82  23.1i 13RM157   W84  C~52RO      
2018 09  11.34733  01 56 15.980  +03 50 36.79  23.7r 13RM157   W84  C~52RO      
2018 09  11.34871  01 56 15.974  +03 50 36.71  23.3i 13RM157   W84  C~52RO      
2018 09  11.36949  01 56 15.934  +03 50 36.24  24.1g 13RM157   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     0.08
     2   0.0000      0.00     0.07       0.00    -0.06
     3   0.0000      0.00     0.18       0.00    -0.13
     4   0.0652      0.00    -0.22       0.00    -0.14
     5   0.0899      0.00    -0.02       0.00    -0.09
     6   0.0899      0.00    -0.01       0.00     0.08
     7   0.1993      0.00    -0.10       0.00    -0.00
     8   1.1113      0.00    -0.08       0.00    -0.01
     9   1.1167      0.00     0.19       0.00     0.16
    10   1.1303      0.00     0.03       0.00     0.11
    11   1.2560      0.00    -0.04       0.00     0.07
    12   2.1542      0.00     0.23       0.00     0.04
    13   2.9595      0.00    -0.17       0.00    -0.03
    14   3.1290      0.00    -0.05       0.00    -0.04
    15   3.1317      0.00     0.11       0.00     0.03
    16   3.1343      0.00    -0.00       0.00    -0.13
    17   3.1534      0.00    -0.26       0.00     0.10
    18   3.1534      0.00     0.09       0.00     0.02
    19   3.9480      0.00    -0.13       0.00     0.08
    20   3.9480      0.00    -0.05       0.00    -0.06
    21   3.9480      0.00     0.15       0.00    -0.00
    22   3.9481      0.00     0.21       0.00     0.01
    23   3.9616      0.00     0.00       0.00     0.00
    24   3.9616      0.00    -0.15       0.00     0.09
    25   5.0020      0.00    -0.02       0.00    -0.02
    26   5.0020      0.00    -0.05       0.00    -0.06
    27   5.0020      0.00     0.20       0.00    -0.05

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.

13RM157    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        57.189    57.189    57.189
ecceobj         0.352     0.352     0.352
incobj         14.128    14.128    14.128
qmin           36.190    36.147    36.165
qmax           78.005    78.240    78.185
amean          56.655    56.688    56.710
amin           56.033    56.075    56.092
amax           57.449    57.487    57.480
emean           0.345     0.345     0.345
emin            0.332     0.332     0.332
emax            0.360     0.361     0.360
imean          14.127    14.167    14.145
imin           13.396    13.431    13.408
imax           14.671    14.705    14.694
excite_mean     0.423     0.423     0.423
fracstop        1.000     1.000     1.000
cjmean          3.028     3.028     3.028

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       185.6     184.6     186.2
kozaiamp        180.0     179.9     179.9