Orbit Fit and Astrometric record for 13RZ155

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: 13RZ155   
# Created Fri Mar 29 01:15:28 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     16 observations of     16
# Arc:  10.21y
# First observation: 2013/09/02
#  Last observation: 2023/11/19
# Chi-squared of fit:    13.47 DOF:     26 RMS:  0.16
# Min/Max residuals:    -0.47    0.30
# Exact a, adot, b, bdot, g, gdot:
  1.059154E-05  1.770447E-02 -7.138831E-06 -9.705962E-03  2.273336E-02 -1.157620E-04
# Covariance matrix:
  5.4996E-13 -1.8608E-13 -1.5915E-13  1.0921E-13  3.2236E-13 -1.0581E-12
 -1.8608E-13  9.3960E-14  8.6064E-14 -5.8915E-14 -1.0351E-13  5.6925E-13
 -1.5915E-13  8.6064E-14  3.2061E-13 -9.3226E-14 -1.2356E-13  5.7644E-13
  1.0921E-13 -5.8915E-14 -9.3226E-14  4.8738E-14  8.5376E-14 -3.9488E-13
  3.2236E-13 -1.0351E-13 -1.2356E-13  8.5376E-14  5.4197E-13 -8.3371E-13
 -1.0581E-12  5.6925E-13  5.7644E-13 -3.9488E-13 -8.3371E-13  3.8186E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.739798   11.802085    0.536385   -0.040818   -0.854879  2456537.855838
# Heliocentric elements and errors
Epoch:              2456538.5000  =  2013/09/03
Mean Anomaly:          191.52161 +/-     0.049
Argument of Peri:      356.18654 +/-     0.039
Long of Asc Node:      186.23834 +/-     0.000
Inclination:            28.88439 +/-     0.000
Eccentricity:         0.10540898 +/-    0.0001
Semi-Major Axis:     40.63406964 +/-    0.0051
Time of Perihelion: 2500815.2376 +/-      16.1
Perihelion:          36.35087371 +/-    0.0066
Aphelion:            44.91726557 +/-    0.0074
Period (y)              259.0262 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           43.95619201 +/-    0.0014
Ecliptic Y            8.63963330 +/-    0.0003
Ecliptic Z           -2.10297802 +/-    0.0001
Ecliptic XDOT        -0.00051062 +/-    0.0000
Ecliptic YDOT         0.00207176 +/-    0.0000
Ecliptic ZDOT        -0.00116678 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   44.84655679 +/-    0.0014
Geocenter to KBO     43.98824060 +/-    0.0014
# Hcoef:  6.91

The following table shows the complete astrometric record for 13RZ155. 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 (13RZ155) followed by the observatory code and reference code for the source of the astrometry.

2013 09  02.35506  00 47 41.536  +02 08 37.99  24.3g 13RZ155   W84  C~52RL      
2013 10  13.14590  00 44 59.025  +01 46 50.88  23.5i 13RZ155   W84  C~52RL      
2013 10  29.04765  00 43 55.308  +01 38 51.40  23.9g 13RZ155   W84  C~52RL      
2014 10  29.21054  00 48 32.098  +01 31 50.75  23.5r 13RZ155   W84  C~52RL      
2014 11  14.13269  00 47 36.312  +01 25 06.65  23.1r 13RZ155   W84  C~52RL      
2016 08  30.35681  01 01 38.742  +01 48 34.80  23.3g 13RZ155   W84  C~52RL      
2017 08  22.33695  01 06 37.708  +01 45 12.94  23.8r 13RZ155   W84  C~52RL      
2017 08  22.33832  01 06 37.711  +01 45 12.73  23.1i 13RZ155   W84  C~52RL      
2017 08  22.33969  01 06 37.701  +01 45 12.66  23.5g 13RZ155   W84  C~52RL      
2017 09  24.29256  01 04 46.025  +01 28 23.30  22.7z 13RZ155   W84  C~52RL      
2018 09  14.34565  01 10 02.798  +01 26 38.38  23.0i 13RZ155   W84  C~52RL      
2018 09  14.34702  01 10 02.773  +01 26 38.22  23.6r 13RZ155   W84  C~52RL      
2018 09  14.34839  01 10 02.774  +01 26 37.67  23.7g 13RZ155   W84  C~52RL      
2023 11  19.02883  01 28 54.43   +00 18 29.5   23.6r 13RZ155   W84  C~7X4c      
2023 11  19.10857  01 28 54.15   +00 18 28.0   23.4r 13RZ155   W84  C~7X4c      
2023 11  19.18829  01 28 53.86   +00 18 26.4   23.5r 13RZ155   W84  C~7X4c      

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     0.30       0.00     0.21
     2   0.1117      0.00     0.06       0.00    -0.00
     3   0.1552      0.00    -0.20       0.00     0.13
     4   1.1550      0.00    -0.07       0.00     0.01
     5   1.1986      0.00     0.04       0.00     0.05
     6   2.9925      0.00    -0.29       0.00    -0.35
     7   3.9698      0.00     0.02       0.00     0.11
     8   3.9698      0.00     0.12       0.00    -0.07
     9   3.9698      0.00     0.02       0.00    -0.10
    10   4.0601      0.00    -0.18       0.00     0.09
    11   5.0321      0.00     0.24       0.00     0.15
    12   5.0321      0.00    -0.06       0.00     0.03
    13   5.0322      0.00     0.04       0.00    -0.47
    14  10.2113      0.00    -0.03       0.00     0.07
    15  10.2115      0.00     0.05       0.00     0.11
    16  10.2117      0.00    -0.04       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.

13RZ155    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.801    40.801    40.801
ecceobj         0.100     0.100     0.100
incobj         28.791    28.791    28.791
qmin           35.167    35.127    35.166
qmax           46.345    46.346    46.345
amean          40.619    40.620    40.621
amin           40.278    40.282    40.282
amax           40.968    40.980    40.965
emean           0.115     0.115     0.115
emin            0.099     0.098     0.098
emax            0.132     0.132     0.132
imean          28.753    28.752    28.752
imin           28.311    28.309    28.309
imax           29.196    29.191    29.180
excite_mean     0.495     0.495     0.495
fracstop        1.000     1.000     1.000
cjmean          2.764     2.764     2.764

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       168.1     167.9     168.1
kozaiamp        180.0     180.0     180.0