Orbit Fit and Astrometric record for 13RE124

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: 13RE124   
# Created Mon Dec  6 02:11:47 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     36 observations of     36
# Arc:   8.03y
# First observation: 2013/09/02
#  Last observation: 2021/09/12
# Chi-squared of fit:    11.51 DOF:     66 RMS:  0.10
# Min/Max residuals:    -0.37    0.26
# Exact a, adot, b, bdot, g, gdot:
  1.716266E-05  2.731946E-02 -8.593575E-06 -1.679995E-02  2.530063E-02  3.349702E-03
# Covariance matrix:
  2.0909E-13 -3.5278E-14 -1.8433E-15  6.7838E-15  2.5035E-13 -6.0469E-14
 -3.5278E-14  4.3741E-14  1.0802E-14 -2.2769E-14 -7.4934E-15  1.9595E-13
 -1.8433E-15  1.0802E-14  6.5502E-14 -1.9407E-14  6.9581E-15  6.0494E-14
  6.7838E-15 -2.2769E-14 -1.9407E-14  2.2011E-14 -9.2963E-15 -1.2614E-13
  2.5035E-13 -7.4934E-15  6.9581E-15 -9.2963E-15  4.5673E-13  7.6134E-14
 -6.0469E-14  1.9595E-13  6.0494E-14 -1.2614E-13  7.6134E-14  1.0846E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    3.005682   -8.814636    0.202371    0.051974   -0.988242  2456537.755778
# Heliocentric elements and errors
Epoch:              2456538.5000  =  2013/09/03
Mean Anomaly:            2.10862 +/-     0.002
Argument of Peri:      160.25103 +/-     0.005
Long of Asc Node:      175.66231 +/-     0.000
Inclination:            31.68640 +/-     0.000
Eccentricity:         0.66865760 +/-    0.0001
Semi-Major Axis:    120.78000274 +/-    0.0520
Time of Perihelion: 2453698.7120 +/-       2.7
Perihelion:          40.01953612 +/-    0.0237
Aphelion:           201.54046937 +/-    0.0883
Period (y)             1327.3968 +/-      0.86
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           39.95094937 +/-    0.0010
Ecliptic Y           -6.39684528 +/-    0.0002
Ecliptic Z            2.07213104 +/-    0.0001
Ecliptic XDOT         0.00089874 +/-    0.0000
Ecliptic YDOT         0.00285023 +/-    0.0000
Ecliptic ZDOT        -0.00179632 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.51278027 +/-    0.0010
Geocenter to KBO     39.52466128 +/-    0.0011
# Hcoef:  6.93

The following table shows the complete astrometric record for 13RE124. 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 (13RE124) followed by the observatory code and reference code for the source of the astrometry.

2013 09  02.25500  23 22 52.644  -00 43 52.56  23.3g 13RE124   W84  C~4yQr      
2013 09  08.17452  23 22 27.583  -00 47 29.82  23.0g 13RE124   W84  C~4yQr      
2013 09  08.17452  23 22 27.58   -00 47 29.8   23.0g 13RE124   W84  C~3cl9      
2013 09  09.10756  23 22 23.602  -00 48 04.43  23.3g 13RE124   W84  C~4yQr      
2013 09  10.29775  23 22 18.509  -00 48 49.09  23.3g 13RE124   W84  C~4yQr      
2013 09  10.29775  23 22 18.51   -00 48 49.1   23.2g 13RE124   W84  C~3cl9      
2013 09  30.11140  23 20 55.328  -01 01 18.70  22.9r 13RE124   W84  C~4yQr      
2013 09  30.11140  23 20 55.33   -01 01 18.7   22.9r 13RE124   W84  C~3cl9      
2013 09  30.11286  23 20 55.318  -01 01 18.85  22.6i 13RE124   W84  C~4yQr      
2013 09  30.11286  23 20 55.32   -01 01 18.9   22.8i 13RE124   W84  C~3cl9      
2013 10  11.11090  23 20 13.279  -01 08 01.94  22.6z 13RE124   W84  C~4yQr      
2013 10  12.09068  23 20 09.778  -01 08 36.41  22.2i 13RE124   W84  C~4yQr      
2013 10  12.09068  23 20 09.77   -01 08 36.5   22.7i 13RE124   W84  C~3cl9      
2013 10  12.11332  23 20 09.698  -01 08 37.55  22.1z 13RE124   W84  C~4yQr      
2013 10  13.04822  23 20 06.400  -01 09 10.36  22.9z 13RE124   W84  C~4yQr      
2013 10  13.07574  23 20 06.323  -01 09 11.23  22.3i 13RE124   W84  C~4yQr      
2013 10  13.07574  23 20 06.31   -01 09 11.3   22.6i 13RE124   W84  C~3cl9      
2013 11  08.07572  23 18 56.092  -01 22 31.24  23.2r 13RE124   W84  C~4yQr      
2013 11  08.07572  23 18 56.09   -01 22 31.3   23.1r 13RE124   W84  C~3cl9      
2013 11  22.05351  23 18 39.732  -01 27 36.01  23.8g 13RE124   W84  C~4yQr      
2013 11  22.05351  23 18 39.73   -01 27 36.0   23.9g 13RE124   W84  C~3cl9      
2014 10  28.12286  23 26 32.747  -01 33 15.26  23.3r 13RE124   W84  C~4yQr      
2014 10  28.12286  23 26 32.75   -01 33 15.3   23.4r 13RE124   W84  C~3cl9      
2016 08  15.25594  23 45 31.572  -01 21 40.90  22.8z 13RE124   W84  C~4yQr      
2016 09  30.09716  23 42 28.072  -01 49 12.07  23.0r 13RE124   W84  C~4yQr      
2016 09  30.09716  23 42 28.07   -01 49 12.1   23.1r 13RE124   W84  C~3cl9      
2016 09  30.09852  23 42 28.059  -01 49 12.12  23.0i 13RE124   W84  C~4yQr      
2016 09  30.09852  23 42 28.06   -01 49 12.1   23.0i 13RE124   W84  C~3cl9      
2016 09  30.09989  23 42 28.061  -01 49 12.16  23.9g 13RE124   W84  C~4yQr      
2016 09  30.09989  23 42 28.06   -01 49 12.1   24.2g 13RE124   W84  C~3cl9      
2016 10  05.08483  23 42 07.784  -01 52 13.76  22.7z 13RE124   W84  C~4yQr      
2016 10  05.08483  23 42 07.78   -01 52 13.8   22.7z 13RE124   W84  C~3cl9      
2018 09  09.21309  23 58 02.836  -02 06 40.14  22.8i 13RE124   W84  C~4yQr      
2021 09  12.319910 00 18 27.553  -02 52 30.93  22.9G 13RE124   G37  C~55Nb      
2021 09  12.379920 00 18 27.314  -02 52 33.19        13RE124   G37  C~55Nb      
2021 09  12.440310 00 18 27.062  -02 52 35.40        13RE124   G37  C~55Nb      

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     0.14       0.00    -0.37
     2   0.0162      0.00    -0.07       0.00     0.06
     3   0.0162      0.00    -0.02       0.00     0.04
     4   0.0188      0.00    -0.09       0.00     0.22
     5   0.0220      0.00     0.00       0.00     0.08
     6   0.0220      0.00     0.02       0.00     0.07
     7   0.0763      0.00     0.04       0.00     0.03
     8   0.0763      0.00     0.07       0.00     0.03
     9   0.0763      0.00     0.01       0.00    -0.11
    10   0.0763      0.00    -0.02       0.00    -0.06
    11   0.1064      0.00     0.07       0.00    -0.11
    12   0.1091      0.00    -0.11       0.00     0.09
    13   0.1091      0.00     0.01       0.00     0.18
    14   0.1091      0.00     0.04       0.00    -0.16
    15   0.1117      0.00    -0.11       0.00    -0.03
    16   0.1118      0.00     0.02       0.00    -0.01
    17   0.1118      0.00     0.22       0.00     0.06
    18   0.1829      0.00    -0.03       0.00    -0.15
    19   0.1829      0.00    -0.00       0.00    -0.09
    20   0.2212      0.00    -0.06       0.00     0.06
    21   0.2212      0.00    -0.03       0.00     0.05
    22   1.1523      0.00    -0.03       0.00    -0.05
    23   1.1523      0.00    -0.07       0.00    -0.01
    24   2.9514      0.00    -0.02       0.00    -0.20
    25   3.0769      0.00     0.06       0.00    -0.04
    26   3.0769      0.00     0.09       0.00    -0.01
    27   3.0769      0.00     0.00       0.00     0.01
    28   3.0769      0.00    -0.01       0.00    -0.01
    29   3.0769      0.00     0.09       0.00     0.06
    30   3.0769      0.00     0.10       0.00    -0.00
    31   3.0906      0.00     0.01       0.00     0.26
    32   3.0906      0.00    -0.05       0.00     0.22
    33   5.0184      0.00    -0.13       0.00     0.08
    34   8.0276      0.00    -0.01       0.00    -0.03
    35   8.0277      0.00     0.06       0.00    -0.07
    36   8.0279      0.00    -0.06       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.

13RE124    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj       122.740   122.740   122.741
ecceobj         0.674     0.674     0.674
incobj         31.620    31.620    31.620
qmin           37.924    37.933    37.831
qmax          210.716   210.784   210.453
amean         121.099   121.097   121.090
amin          118.761   118.792   118.572
amax          124.916   124.993   124.789
emean           0.671     0.671     0.671
emin            0.659     0.659     0.659
emax            0.687     0.687     0.687
imean          30.936    30.935    30.930
imin           29.841    29.846    29.814
imax           31.749    31.749    31.750
excite_mean     0.845     0.845     0.845
fracstop        1.000     1.000     1.000
cjmean          2.800     2.800     2.800

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       204.5     204.5     204.6
kozaiamp         44.0      44.1      44.2