Orbit Fit and Astrometric record for 13RX156

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: 13RX156   
# Created Sat Dec  4 02:11:55 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     15 observations of     15
# Arc:   5.02y
# First observation: 2013/09/10
#  Last observation: 2018/09/17
# Chi-squared of fit:     5.42 DOF:     24 RMS:  0.11
# Min/Max residuals:    -0.25    0.27
# Exact a, adot, b, bdot, g, gdot:
  1.548525E-05  2.810759E-02 -9.022013E-06 -1.501147E-02  2.812173E-02 -1.554933E-03
# Covariance matrix:
  4.7036E-13 -2.2011E-13 -2.7837E-14  5.9860E-14 -9.1632E-14 -8.6306E-13
 -2.2011E-13  2.8964E-13  6.2376E-14 -1.3349E-13  2.9994E-13  1.9321E-12
 -2.7837E-14  6.2376E-14  4.3698E-13 -1.4332E-13  3.9902E-14  4.9025E-13
  5.9860E-14 -1.3349E-13 -1.4332E-13  1.1034E-13 -6.5603E-14 -1.0571E-12
 -9.1632E-14  2.9994E-13  3.9902E-14 -6.5603E-14  3.1291E-12  1.1805E-12
 -8.6306E-13  1.9321E-12  4.9025E-13 -1.0571E-12  1.1805E-12  1.5208E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   14.184649  -33.502169   -0.357736    0.230970   -0.913467  2456545.658448
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:          350.66047 +/-     0.030
Argument of Peri:      166.47448 +/-     0.045
Long of Asc Node:      171.03588 +/-     0.000
Inclination:            31.21252 +/-     0.000
Eccentricity:         0.18968468 +/-    0.0002
Semi-Major Axis:     44.80131281 +/-    0.0145
Time of Perihelion: 2459388.0628 +/-      52.7
Perihelion:          36.30318992 +/-    0.0151
Aphelion:            53.29943570 +/-    0.0197
Period (y)              299.8778 +/-      0.15
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           29.73113253 +/-    0.0018
Ecliptic Y          -19.24827898 +/-    0.0012
Ecliptic Z            8.71349789 +/-    0.0005
Ecliptic XDOT         0.00168052 +/-    0.0000
Ecliptic YDOT         0.00216402 +/-    0.0000
Ecliptic ZDOT        -0.00145387 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.47414583 +/-    0.0016
Geocenter to KBO     35.55975738 +/-    0.0022
# Hcoef:  7.98

The following table shows the complete astrometric record for 13RX156. 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 (13RX156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.15767  21 35 47.891  +00 41 07.09  23.8r 13RX156   W84  C~52RN      
2013 09  10.17063  21 35 47.837  +00 41 06.37  23.3i 13RX156   W84  C~52RN      
2013 09  13.12500  21 35 35.040  +00 39 02.36  23.2i 13RX156   W84  C~52RN      
2016 08  23.25186  21 58 55.555  +00 02 24.80  23.9z 13RX156   W84  C~52RN      
2016 09  07.15162  21 57 42.573  -00 07 21.86  23.8g 13RX156   W84  C~52RN      
2016 09  08.08974  21 57 38.180  -00 08 00.43  23.2i 13RX156   W84  C~52RN      
2016 09  26.03659  21 56 21.374  -00 20 32.40  23.4i 13RX156   W84  C~52RN      
2016 09  26.03797  21 56 21.376  -00 20 32.41  23.9r 13RX156   W84  C~52RN      
2016 09  26.03934  21 56 21.357  -00 20 32.40  24.2g 13RX156   W84  C~52RN      
2017 09  27.08463  22 03 32.836  -00 37 56.55  23.2i 13RX156   W84  C~52RN      
2017 09  27.08601  22 03 32.823  -00 37 56.58  22.9z 13RX156   W84  C~52RN      
2017 09  27.09014  22 03 32.841  -00 37 56.67  24.1r 13RX156   W84  C~52RN      
2017 10  21.05167  22 02 22.256  -00 53 44.54  23.4i 13RX156   W84  C~52RN      
2018 09  17.22185  22 11 31.269  -00 47 42.73  22.9i 13RX156   W84  C~52RN      
2018 09  17.22322  22 11 31.255  -00 47 43.06  23.1r 13RX156   W84  C~52RN      

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     0.13
     2   0.0000      0.00     0.09       0.00    -0.04
     3   0.0081      0.00    -0.09       0.00    -0.07
     4   2.9517      0.00     0.05       0.00     0.07
     5   2.9925      0.00    -0.15       0.00    -0.01
     6   2.9950      0.00     0.06       0.00    -0.01
     7   3.0442      0.00     0.01       0.00    -0.08
     8   3.0442      0.00     0.12       0.00    -0.03
     9   3.0442      0.00    -0.08       0.00     0.04
    10   4.0463      0.00    -0.13       0.00    -0.03
    11   4.0463      0.00    -0.25       0.00    -0.00
    12   4.0464      0.00     0.27       0.00     0.08
    13   4.1120      0.00     0.13       0.00    -0.07
    14   5.0187      0.00     0.06       0.00     0.16
    15   5.0187      0.00    -0.06       0.00    -0.11

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.

13RX156    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        44.943    44.943    44.943
ecceobj         0.193     0.193     0.193
incobj         31.153    31.153    31.153
qmin           34.870    34.887    34.849
qmax           55.499    55.489    55.511
amean          44.969    44.969    44.969
amin           44.592    44.599    44.591
amax           45.418    45.423    45.433
emean           0.203     0.203     0.203
emin            0.183     0.183     0.183
emax            0.222     0.222     0.223
imean          30.382    30.382    30.382
imin           29.892    29.887    29.896
imax           30.818    30.819    30.820
excite_mean     0.545     0.545     0.545
fracstop        1.000     1.000     1.000
cjmean          2.734     2.734     2.734

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       185.2     185.2     185.3
kozaiamp        180.0     180.0     180.0