Orbit Fit and Astrometric record for 13RQ158

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: 13RQ158   
# Created Wed Dec 25 02:09:32 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     20 observations of     20
# Arc:  13.25y
# First observation: 2004/07/16
#  Last observation: 2017/10/17
# Chi-squared of fit:     7.51 DOF:     34 RMS:  0.11
# Min/Max residuals:    -0.21    0.21
# Exact a, adot, b, bdot, g, gdot:
  1.507492E-05  2.210547E-02 -1.955405E-06 -3.015640E-03  2.312835E-02 -1.033000E-03
# Covariance matrix:
  7.2984E-13 -1.3628E-13 -2.0494E-14  1.1980E-14 -6.6956E-14 -2.7256E-13
 -1.3628E-13  8.3433E-14  1.6696E-14 -9.6636E-15  1.6150E-13  2.2401E-13
 -2.0494E-14  1.6696E-14  6.0060E-13 -5.3124E-14  2.7984E-14  4.9341E-14
  1.1980E-14 -9.6636E-15 -5.3124E-14  6.1499E-15 -1.5880E-14 -2.8644E-14
 -6.6956E-14  1.6150E-13  2.7984E-14 -1.5880E-14  6.2425E-13  3.8196E-13
 -2.7256E-13  2.2401E-13  4.9341E-14 -2.8644E-14  3.8196E-13  6.6026E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.687271  -11.913126    0.822758   -0.028125   -0.601327  2453202.875213
# Heliocentric elements and errors
Epoch:              2453202.5000  =  2004/07/16
Mean Anomaly:          298.41878 +/-     0.051
Argument of Peri:      267.85039 +/-     0.060
Long of Asc Node:      148.45865 +/-     0.001
Inclination:             8.27721 +/-     0.000
Eccentricity:         0.07178853 +/-    0.0001
Semi-Major Axis:     45.19666050 +/-    0.0057
Time of Perihelion: 2472187.1993 +/-      23.5
Perihelion:          41.95205858 +/-    0.0059
Aphelion:            48.44126242 +/-    0.0067
Period (y)              303.8559 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           42.67446666 +/-    0.0014
Ecliptic Y           -9.84269079 +/-    0.0003
Ecliptic Z           -2.02724220 +/-    0.0001
Ecliptic XDOT         0.00040211 +/-    0.0000
Ecliptic YDOT         0.00258209 +/-    0.0000
Ecliptic ZDOT        -0.00035074 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   43.84178525 +/-    0.0014
Geocenter to KBO     43.23704436 +/-    0.0015
# Hcoef:  7.01

The following table shows the complete astrometric record for 13RQ158. 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 (13RQ158) followed by the observatory code and reference code for the source of the astrometry.

2004 07  16.37447  23 20 24.61   -07 10 58.6   21.8R 13RQ158   807  C~55Nc      
2004 07  16.42654  23 20 24.50   -07 10 59.6         13RQ158   807  C~55Nc      
2013 09  10.31452  00 02 39.508  -04 22 06.57  23.4r 13RQ158   W84  C~55Nc      
2013 09  11.28756  00 02 35.441  -04 22 35.69  24.7g 13RQ158   W84  C~55Nc      
2013 09  11.28894  00 02 35.441  -04 22 35.81  23.2r 13RQ158   W84  C~55Nc      
2013 10  13.12737  00 00 21.253  -04 37 40.73  23.4i 13RQ158   W84  C~55Nd      
2013 10  13.12878  00 00 21.254  -04 37 40.78  23.4z 13RQ158   W84  C~55Nd      
2013 11  08.15222  23 58 52.221  -04 46 23.01  23.6r 13RQ158   W84  C~55Nd      
2013 12  02.10754  23 58 08.660  -04 49 27.83  22.9r 13RQ158   W84  C~55Nd      
2016 08  14.39419  00 19 30.285  -03 01 52.36  23.0r 13RQ158   W84  C~55Nd      
2016 10  01.19162  00 16 25.849  -03 24 53.37  23.3r 13RQ158   W84  C~55Nd      
2016 10  01.19299  00 16 25.835  -03 24 53.16  22.7i 13RQ158   W84  C~55Nd      
2016 10  01.19436  00 16 25.848  -03 24 53.61  24.3g 13RQ158   W84  C~55Nd      
2016 12  04.10151  00 13 08.325  -03 43 16.57  23.6r 13RQ158   W84  C~55Nd      
2017 09  26.29892  00 21 54.366  -02 59 31.70  22.9i 13RQ158   W84  C~55Nd      
2017 09  26.30028  00 21 54.362  -02 59 31.93  23.6r 13RQ158   W84  C~55Nd      
2017 09  27.25061  00 21 50.261  -02 59 59.69  23.7g 13RQ158   W84  C~55Nd      
2017 10  13.22334  00 20 42.053  -03 07 29.22  22.7r 13RQ158   W84  C~55Nd      
2017 10  17.23657  00 20 25.551  -03 09 12.44  22.9i 13RQ158   W84  C~55Nd      
2017 10  17.23795  00 20 25.567  -03 09 12.52  23.9g 13RQ158   W84  C~55Nd      

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     0.02       0.00    -0.02
     2   0.0001      0.00     0.03       0.00    -0.07
     3   9.1525      0.00     0.02       0.00     0.06
     4   9.1551      0.00    -0.18       0.00     0.16
     5   9.1551      0.00    -0.10       0.00     0.08
     6   9.2423      0.00     0.06       0.00    -0.01
     7   9.2423      0.00     0.16       0.00    -0.02
     8   9.3136      0.00    -0.11       0.00     0.11
     9   9.3791      0.00     0.01       0.00     0.00
    10  12.0795      0.00     0.08       0.00    -0.20
    11  12.2103      0.00     0.05       0.00    -0.04
    12  12.2103      0.00    -0.07       0.00     0.21
    13  12.2103      0.00     0.21       0.00    -0.20
    14  12.3853      0.00    -0.02       0.00    -0.04
    15  13.1962      0.00     0.02       0.00     0.05
    16  13.1962      0.00     0.05       0.00    -0.14
    17  13.1988      0.00     0.01       0.00     0.20
    18  13.2426      0.00    -0.05       0.00    -0.08
    19  13.2536      0.00    -0.21       0.00     0.01
    20  13.2536      0.00     0.12       0.00    -0.04

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.

13RQ158    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        45.695    45.695    45.695
ecceobj         0.078     0.078     0.078
incobj          8.246     8.246     8.246
qmin           41.193    41.193    41.219
qmax           50.028    50.078    49.952
amean          45.466    45.479    45.476
amin           45.100    45.100    45.100
amax           45.864    45.880    45.880
emean           0.078     0.078     0.078
emin            0.066     0.065     0.065
emax            0.091     0.092     0.090
imean           7.460     7.463     7.464
imin            7.009     7.009     7.009
imax            7.911     7.908     7.923
excite_mean     0.152     0.152     0.152
fracstop        1.000     1.000     1.000
cjmean          3.091     3.091     3.091

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       178.8     178.6     178.4
kozaiamp        179.9     180.0     179.9