Orbit Fit and Astrometric record for 13RO156

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: 13RO156   
# Created Thu Apr  3 01:09:40 2025
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     18 observations of     18
# Arc:   5.16y
# First observation: 2013/09/08
#  Last observation: 2018/11/07
# Chi-squared of fit:    12.32 DOF:     30 RMS:  0.15
# Min/Max residuals:    -0.37    0.26
# Exact a, adot, b, bdot, g, gdot:
  1.703468E-05  2.446104E-02 -1.437300E-06 -4.024352E-05  2.467512E-02 -1.345658E-04
# Covariance matrix:
  3.3844E-13 -1.5748E-13 -1.0519E-16  3.2262E-16  1.6877E-13 -9.0374E-13
 -1.5748E-13  5.4621E-13  6.6785E-16 -1.2760E-15  1.5707E-13  5.3336E-12
 -1.0519E-16  6.6785E-16  2.6069E-13 -6.7340E-14  2.3406E-16  6.8411E-15
  3.2262E-16 -1.2760E-15 -6.7340E-14  2.5286E-14 -6.3722E-17 -1.3033E-14
  1.6877E-13  1.5707E-13  2.3406E-16 -6.3722E-17  6.6509E-13  1.6686E-12
 -9.0374E-13  5.3336E-12  6.8411E-15 -1.3033E-14  1.6686E-12  5.4615E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.386618   -3.476424    0.195095    0.024025   -0.989083  2456543.680878
# Heliocentric elements and errors
Epoch:              2456544.5000  =  2013/09/09
Mean Anomaly:          339.81259 +/-     0.468
Argument of Peri:      115.09731 +/-     0.505
Long of Asc Node:      262.77962 +/-     0.016
Inclination:             1.35598 +/-     0.000
Eccentricity:         0.03466867 +/-    0.0001
Semi-Major Axis:     42.90537124 +/-    0.0058
Time of Perihelion: 2462300.8083 +/-     135.0
Perihelion:          41.41789922 +/-    0.0077
Aphelion:            44.39284326 +/-    0.0080
Period (y)              281.0449 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           41.41571732 +/-    0.0013
Ecliptic Y           -2.70829580 +/-    0.0001
Ecliptic Z            0.98062606 +/-    0.0000
Ecliptic XDOT         0.00014361 +/-    0.0000
Ecliptic YDOT         0.00270886 +/-    0.0000
Ecliptic ZDOT        -0.00000469 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.51576549 +/-    0.0013
Geocenter to KBO     40.52668940 +/-    0.0013
# Hcoef:  7.58

The following table shows the complete astrometric record for 13RO156. 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 (13RO156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  08.18010  23 45 02.198  -00 06 34.26  24.3g 13RO156   W84  C~52RM      
2013 09  30.12657  23 43 24.463  -00 17 09.73  24.1r 13RO156   W84  C~52RM      
2013 09  30.13709  23 43 24.419  -00 17 10.02  23.4i 13RO156   W84  C~52RM      
2013 10  13.06383  23 42 29.983  -00 23 12.78  23.3z 13RO156   W84  C~52RM      
2013 10  13.07864  23 42 29.906  -00 23 13.19  23.8i 13RO156   W84  C~52RM      
2014 10  02.25420  23 48 24.788  +00 15 09.76  23.0r 13RO156   W84  C~52RM      
2016 08  31.25387  00 01 00.395  +01 36 27.56  23.8i 13RO156   W84  C~52RM      
2016 09  11.23736  00 00 13.598  +01 31 29.79  22.3z 13RO156   W84  C~52RM      
2016 10  06.06901  23 58 23.005  +01 19 28.48  23.5i 13RO156   W84  C~52RM      
2017 08  18.29952  00 06 58.528  +02 14 40.79  24.5r 13RO156   W84  C~52RM      
2017 08  18.30090  00 06 58.520  +02 14 40.75  23.4i 13RO156   W84  C~52RM      
2017 09  17.29361  00 04 56.91   +02 01 53.5   23.8i 13RO156   T09  C~7bI8      
2017 09  17.33440  00 04 56.73   +02 01 52.3   23.9i 13RO156   T09  C~7bI8      
2017 09  17.36119  00 04 56.61   +02 01 51.5   23.9i 13RO156   T09  C~7bI9      
2017 09  27.16214  00 04 12.582  +01 57 05.68  22.7z 13RO156   W84  C~52RM      
2017 09  27.18416  00 04 12.462  +01 57 04.78  22.4i 13RO156   W84  C~52RM      
2017 11  17.03035  00 01 05.351  +01 35 51.67  23.9r 13RO156   W84  C~52RM      
2018 11  07.14231  00 06 39.283  +02 11 58.84  24.3r 13RO156   W84  C~52RM      

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    -0.37       0.00     0.16
     2   0.0601      0.00     0.02       0.00     0.02
     3   0.0601      0.00     0.06       0.00     0.03
     4   0.0955      0.00     0.26       0.00    -0.13
     5   0.0955      0.00     0.01       0.00    -0.14
     6   1.0652      0.00     0.07       0.00     0.05
     7   2.9790      0.00     0.20       0.00    -0.08
     8   3.0091      0.00    -0.11       0.00    -0.26
     9   3.0770      0.00    -0.07       0.00     0.20
    10   3.9428      0.00     0.21       0.00    -0.04
    11   3.9428      0.00     0.16       0.00    -0.05
    12   4.0250      0.00    -0.16       0.00     0.13
    13   4.0251      0.00    -0.10       0.00     0.10
    14   4.0251      0.00    -0.07       0.00     0.07
    15   4.0520      0.00     0.10       0.00     0.16
    16   4.0520      0.00    -0.19       0.00    -0.09
    17   4.1912      0.00     0.05       0.00     0.12
    18   5.1635      0.00     0.03       0.00    -0.22

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.

13RO156    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        43.139    43.139    43.139
ecceobj         0.040     0.040     0.040
incobj          1.357     1.357     1.357
qmin           40.243    40.249    40.238
qmax           45.813    45.817    45.807
amean          42.956    42.956    42.956
amin           42.628    42.629    42.627
amax           43.294    43.296    43.294
emean           0.042     0.042     0.042
emin            0.021     0.021     0.021
emax            0.059     0.059     0.059
imean           3.421     3.421     3.421
imin            2.327     2.327     2.327
imax            4.195     4.195     4.195
excite_mean     0.073     0.073     0.073
fracstop        1.000     1.000     1.000
cjmean          3.082     3.082     3.082

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       181.7     181.7     181.8
kozaiamp        179.9     180.0     179.9