Orbit Fit and Astrometric record for 13RU128

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: 13RU128   
# Created Sat Nov 27 02:11:55 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     35 observations of     35
# Arc:   5.02y
# First observation: 2013/09/08
#  Last observation: 2018/09/17
# Chi-squared of fit:     5.86 DOF:     64 RMS:  0.07
# Min/Max residuals:    -0.21    0.35
# Exact a, adot, b, bdot, g, gdot:
  1.594841E-05  2.927951E-02 -5.475931E-06 -1.197106E-02  2.690991E-02  5.836799E-03
# Covariance matrix:
  1.5110E-13 -8.4917E-14  6.5557E-16  2.0833E-14  2.3878E-13 -4.2226E-13
 -8.4917E-14  1.4695E-13  1.0873E-14 -5.3758E-14 -1.3753E-13  1.0411E-12
  6.5557E-16  1.0873E-14  8.9965E-14 -2.7937E-14  1.7577E-14  9.2526E-14
  2.0833E-14 -5.3758E-14 -2.7937E-14  3.3463E-14  3.5474E-14 -4.1968E-13
  2.3878E-13 -1.3753E-13  1.7577E-14  3.5474E-14  1.0336E-12 -7.8261E-13
 -4.2226E-13  1.0411E-12  9.2526E-14 -4.1968E-13 -7.8261E-13  8.0979E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   12.466570  -31.451301   -0.290897    0.208515   -0.942789  2456543.626018
# Heliocentric elements and errors
Epoch:              2456544.5000  =  2013/09/09
Mean Anomaly:           15.04017 +/-     0.009
Argument of Peri:      112.29983 +/-     0.012
Long of Asc Node:      176.14871 +/-     0.000
Inclination:            25.26471 +/-     0.000
Eccentricity:         0.41393514 +/-    0.0002
Semi-Major Axis:     60.95200825 +/-    0.0209
Time of Perihelion: 2449282.9284 +/-       5.6
Perihelion:          35.72183041 +/-    0.0169
Aphelion:            86.18218609 +/-    0.0318
Period (y)              475.8721 +/-      0.24
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           31.92958937 +/-    0.0012
Ecliptic Y          -19.18517487 +/-    0.0007
Ecliptic Z            8.02174818 +/-    0.0003
Ecliptic XDOT         0.00226710 +/-    0.0000
Ecliptic YDOT         0.00210041 +/-    0.0000
Ecliptic ZDOT        -0.00106090 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.10391018 +/-    0.0010
Geocenter to KBO     37.16094544 +/-    0.0014
# Hcoef:  7.53

The following table shows the complete astrometric record for 13RU128. 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 (13RU128) followed by the observatory code and reference code for the source of the astrometry.

2013 09  08.12524  21 45 37.432  -00 15 48.67  23.4g 13RU128   W84  C~4yQt      
2013 09  11.203305 21 45 24.263  -00 17 43.77  22.7i 13RU128   W84  C~3wor      
2013 09  13.13762  21 45 16.212  -00 18 56.68  22.9i 13RU128   W84  C~4yQt      
2013 09  13.137622 21 45 16.215  -00 18 56.69  22.9i 13RU128   W84  C~3wor      
2013 09  13.139011 21 45 16.208  -00 18 56.76  22.8z 13RU128   W84  C~3wor      
2013 09  13.13902  21 45 16.212  -00 18 56.73  22.8z 13RU128   W84  C~4yQt      
2013 09  24.04249  21 44 34.461  -00 25 51.61  24.1g 13RU128   W84  C~4yQt      
2013 09  24.042495 21 44 34.461  -00 25 51.64  24.2g 13RU128   W84  C~3wor      
2013 09  29.131580 21 44 17.423  -00 29 04.60  23.2r 13RU128   W84  C~3wor      
2013 09  29.13158  21 44 17.423  -00 29 04.56  23.2r 13RU128   W84  C~4yQt      
2013 09  29.13298  21 44 17.422  -00 29 04.57  23.1i 13RU128   W84  C~4yQt      
2013 09  29.132981 21 44 17.424  -00 29 04.54  23.2i 13RU128   W84  C~3wor      
2013 10  10.076256 21 43 47.216  -00 35 48.73  23.7r 13RU128   W84  C~3wor      
2013 10  10.07626  21 43 47.215  -00 35 48.72  23.6r 13RU128   W84  C~4yQt      
2013 10  11.070330 21 43 44.946  -00 36 24.41  23.4z 13RU128   W84  C~3wor      
2013 10  11.07033  21 43 44.945  -00 36 24.34  23.3z 13RU128   W84  C~4yQt      
2016 08  23.25049  22 08 06.752  -00 20 11.14  23.0z 13RU128   W84  C~4yQt      
2016 08  23.250492 22 08 06.751  -00 20 11.15  23.1z 13RU128   W84  C~3wor      
2016 08  26.237749 22 07 52.882  -00 21 51.16  22.8i 13RU128   W84  C~3wor      
2016 08  26.23775  22 07 52.880  -00 21 51.17  22.8i 13RU128   W84  C~4yQt      
2016 08  26.23911  22 07 52.871  -00 21 51.22  23.3r 13RU128   W84  C~4yQt      
2016 08  26.239115 22 07 52.868  -00 21 51.24  23.4r 13RU128   W84  C~3wor      
2016 08  26.240481 22 07 52.866  -00 21 51.11  24.5g 13RU128   W84  C~3wor      
2016 08  26.24049  22 07 52.864  -00 21 51.12  24.4g 13RU128   W84  C~4yQt      
2016 09  26.040724 22 05 41.343  -00 40 32.23  23.5r 13RU128   W84  C~3wor      
2016 09  26.04073  22 05 41.342  -00 40 32.27  23.4r 13RU128   W84  C~4yQt      
2016 09  26.04210  22 05 41.342  -00 40 32.29  23.3i 13RU128   W84  C~4yQt      
2016 09  26.042101 22 05 41.339  -00 40 32.22  23.3i 13RU128   W84  C~3wor      
2016 09  26.043478 22 05 41.339  -00 40 32.34        13RU128   W84  C~3wor      
2018 09  17.21221  22 20 02.707  -00 43 14.42  23.4r 13RU128   W84  C~4yQt      
2018 09  17.212217 22 20 02.707  -00 43 14.40  23.4r 13RU128   W84  C~3wor      
2018 09  17.21359  22 20 02.706  -00 43 14.44  22.9z 13RU128   W84  C~4yQt      
2018 09  17.213594 22 20 02.706  -00 43 14.45  22.9z 13RU128   W84  C~3wor      
2018 09  17.21497  22 20 02.692  -00 43 14.47  23.2i 13RU128   W84  C~4yQt      
2018 09  17.214971 22 20 02.688  -00 43 14.42  23.2i 13RU128   W84  C~3wor      

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     0.35       0.00    -0.21
     2   0.0084      0.00     0.07       0.00    -0.03
     3   0.0137      0.00    -0.04       0.00     0.04
     4   0.0137      0.00     0.00       0.00     0.03
     5   0.0137      0.00    -0.02       0.00     0.02
     6   0.0137      0.00     0.04       0.00     0.05
     7   0.0436      0.00    -0.07       0.00     0.00
     8   0.0436      0.00    -0.07       0.00    -0.03
     9   0.0575      0.00    -0.04       0.00    -0.02
    10   0.0575      0.00    -0.04       0.00    -0.06
    11   0.0575      0.00     0.02       0.00     0.02
    12   0.0575      0.00     0.05       0.00     0.05
    13   0.0875      0.00    -0.00       0.00     0.05
    14   0.0875      0.00    -0.02       0.00     0.06
    15   0.0902      0.00    -0.07       0.00    -0.03
    16   0.0902      0.00    -0.09       0.00     0.04
    17   2.9572      0.00     0.05       0.00     0.03
    18   2.9572      0.00     0.04       0.00     0.02
    19   2.9654      0.00     0.00       0.00    -0.01
    20   2.9654      0.00    -0.03       0.00    -0.02
    21   2.9654      0.00    -0.07       0.00    -0.02
    22   2.9654      0.00    -0.11       0.00    -0.04
    23   2.9654      0.00    -0.05       0.00     0.13
    24   2.9654      0.00    -0.08       0.00     0.12
    25   3.0497      0.00     0.03       0.00    -0.01
    26   3.0497      0.00     0.02       0.00    -0.05
    27   3.0497      0.00     0.09       0.00    -0.02
    28   3.0497      0.00     0.05       0.00     0.05
    29   3.0497      0.00     0.12       0.00    -0.02
    30   5.0242      0.00     0.00       0.00    -0.05
    31   5.0242      0.00     0.00       0.00    -0.03
    32   5.0242      0.00     0.08       0.00    -0.02
    33   5.0242      0.00     0.08       0.00    -0.03
    34   5.0242      0.00    -0.05       0.00     0.00
    35   5.0242      0.00    -0.11       0.00     0.06

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.

13RU128    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        61.235    61.235    61.235
ecceobj         0.417     0.417     0.417
incobj         25.223    25.223    25.223
qmin           35.130    35.090    35.097
qmax           88.897    88.402    88.524
amean          61.338    61.172    61.203
amin           60.556    60.466    60.533
amax           62.298    62.140    62.131
emean           0.408     0.407     0.406
emin            0.392     0.390     0.390
emax            0.427     0.425     0.426
imean          25.289    25.302    25.330
imin           24.634    24.606    24.634
imax           26.015    26.033    26.051
excite_mean     0.591     0.590     0.590
fracstop        1.000     1.000     1.000
cjmean          2.847     2.847     2.847

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       176.3     177.9     177.4
kozaiamp        180.0     180.0     179.9