Orbit Fit and Astrometric record for 13RE158

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: 13RE158   
# Created Sat Nov 27 02:12:00 2021
# Orbit generated from Bernstein formalism
# Fitting      7 observations of      7
# Arc:   4.10y
# First observation: 2013/09/13
#  Last observation: 2017/10/21
Preliminary a, adot, b, bdot, g, gdot:
   0.000290   0.029301  -0.000018  -0.013635   0.029893   0.000000
# Chi-squared of fit:     3.77 DOF:      8 RMS:  0.13
# Min/Max residuals:    -0.13    0.31
# Exact a, adot, b, bdot, g, gdot:
  1.672572E-05  3.046777E-02 -7.186118E-06 -1.426612E-02  2.933014E-02  1.014851E-02
# Covariance matrix:
  9.8138E-13 -6.4070E-13  8.1784E-14  3.6439E-13  2.5699E-12 -6.5910E-12
 -6.4070E-13  3.9438E-12  1.1585E-13 -2.1134E-12 -1.0620E-12  3.9049E-11
  8.1784E-14  1.1585E-13  3.2307E-13 -1.3991E-13  3.6575E-13  1.0111E-12
  3.6439E-13 -2.1134E-12 -1.3991E-13  1.2495E-12  8.2734E-13 -2.1490E-11
  2.5699E-12 -1.0620E-12  3.6575E-13  8.2734E-13  1.0058E-11 -1.4714E-11
 -6.5910E-12  3.9049E-11  1.0111E-12 -2.1490E-11 -1.4714E-11  3.9683E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
   13.586536  -32.648282   -0.390541    0.218112   -0.902127  2456548.625778
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:           30.55665 +/-     0.055
Argument of Peri:       84.10958 +/-     0.043
Long of Asc Node:      173.90407 +/-     0.001
Inclination:            28.29592 +/-     0.000
Eccentricity:         0.39445230 +/-    0.0008
Semi-Major Axis:     47.82853993 +/-    0.0540
Time of Perihelion: 2446285.5782 +/-       5.8
Perihelion:          28.96246238 +/-    0.0504
Aphelion:            66.69461748 +/-    0.0845
Period (y)              330.7797 +/-      0.56
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           28.89646508 +/-    0.0030
Ecliptic Y          -18.04761699 +/-    0.0020
Ecliptic Z            8.00904555 +/-    0.0009
Ecliptic XDOT         0.00256686 +/-    0.0000
Ecliptic YDOT         0.00172797 +/-    0.0000
Ecliptic ZDOT        -0.00107174 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   34.99809971 +/-    0.0027
Geocenter to KBO     34.09461678 +/-    0.0037
# Hcoef:  7.81

The following table shows the complete astrometric record for 13RE158. 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 (13RE158) followed by the observatory code and reference code for the source of the astrometry.

2013 09  13.12500  21 39 43.316  +00 23 51.74  23.7i 13RE158   W84  C~52RQ      
2013 09  24.03811  21 38 58.191  +00 16 01.75  23.7g 13RE158   W84  C~52RQ      
2013 10  10.06601  21 38 07.915  +00 04 41.87  24.0r 13RE158   W84  C~52RQ      
2013 10  11.07033  21 38 05.511  +00 04 00.66  22.9z 13RE158   W84  C~52RQ      
2013 10  12.01338  21 38 03.358  +00 03 22.40  22.9z 13RE158   W84  C~52RQ      
2016 09  26.03934  22 01 04.066  -00 17 49.48  24.9g 13RE158   W84  C~52RQ      
2017 10  21.05167  22 06 54.787  -00 44 04.70  21.2i 13RE158   W84  C~52RQ      

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    -0.06       0.00    -0.10
     2   0.0299   -795.19    -0.10    -216.13     0.31
     3   0.0738  -1733.54     0.04    -604.15    -0.04
     4   0.0765  -1781.32    -0.03    -630.90    -0.13
     5   0.0791  -1824.57     0.14    -656.13    -0.08
     6   3.0360  17315.90     0.11   -8814.85     0.18
     7   4.1038  21798.23    -0.08  -12095.32    -0.13

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.

13RE158    quality flag:2

Type:       CENTAURR  CENTAURS  CENTAURR

axisobj        47.923    48.095    47.755
ecceobj         0.395     0.397     0.393
incobj         28.251    28.252    28.251
qmin           28.435    28.245    27.578
qmax           69.988    68.950    74.182
amean          48.086    46.135    48.141
amin           46.737    44.365    46.897
amax           50.226    49.253    51.385
emean           0.383     0.344     0.409
emin            0.346     0.287     0.383
emax            0.405     0.408     0.444
imean          28.436    29.687    27.182
imin           27.511    27.525    26.504
imax           29.663    31.180    27.898
excite_mean     0.611     0.604     0.613
fracstop        0.094     1.000     0.278
cjmean          2.689     2.672     2.677

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       129.7     185.2     158.1
kozaiamp         46.6     179.9      52.6