Orbit Fit and Astrometric record for 13YD169

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: 13YD169   
# Created Fri Dec  3 02:12:18 2021
# Orbit generated from Bernstein formalism
# Fitting     19 observations of     19
# Arc:   3.77y
# First observation: 2013/12/20
#  Last observation: 2017/09/26
Preliminary a, adot, b, bdot, g, gdot:
   0.000074   0.023320   0.000004   0.011494   0.025782   0.000000
# Chi-squared of fit:     9.74 DOF:     32 RMS:  0.13
# Min/Max residuals:    -0.32    0.29
# Exact a, adot, b, bdot, g, gdot:
  1.405431E-05  2.343468E-02  7.759304E-06  1.149046E-02  2.550696E-02  3.714552E-03
# Covariance matrix:
  4.3672E-13 -2.9489E-13  3.5231E-14 -8.7324E-14 -1.8033E-13 -2.0791E-12
 -2.9489E-13  4.2630E-13 -6.2421E-14  1.4128E-13  9.3526E-14  3.4418E-12
  3.5231E-14 -6.2421E-14  2.9885E-13 -1.2141E-13 -2.3647E-14 -5.8205E-13
 -8.7324E-14  1.4128E-13 -1.2141E-13  1.0158E-13  7.5271E-14  1.3663E-12
 -1.8033E-13  9.3526E-14 -2.3647E-14  7.5271E-14  4.0110E-13  1.6954E-12
 -2.0791E-12  3.4418E-12 -5.8205E-13  1.3663E-12  1.6954E-12  3.2975E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -12.277320   26.272811   -0.865542   -0.098291   -0.452374  2456646.628978
# Heliocentric elements and errors
Epoch:              2456640.5000  =  2013/12/14
Mean Anomaly:           56.24513 +/-     0.019
Argument of Peri:      259.35604 +/-     0.030
Long of Asc Node:       50.47916 +/-     0.000
Inclination:            28.89419 +/-     0.000
Eccentricity:         0.17470665 +/-    0.0002
Semi-Major Axis:     42.78269642 +/-    0.0057
Time of Perihelion: 2440671.3031 +/-       4.4
Perihelion:          35.30827496 +/-    0.0107
Aphelion:            50.25711789 +/-    0.0117
Period (y)              279.8404 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           34.38184761 +/-    0.0008
Ecliptic Y           17.94089872 +/-    0.0004
Ecliptic Z           -8.33645151 +/-    0.0002
Ecliptic XDOT        -0.00053502 +/-    0.0000
Ecliptic YDOT         0.00254192 +/-    0.0000
Ecliptic ZDOT         0.00112051 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.66716168 +/-    0.0008
Geocenter to KBO     39.20497808 +/-    0.0010
# Hcoef:  7.61

The following table shows the complete astrometric record for 13YD169. 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 (13YD169) followed by the observatory code and reference code for the source of the astrometry.

2013 12  20.12820  01 55 08.713  -01 19 14.66  23.2i 13YD169   W84  C~52SB      
2013 12  28.10992  01 54 52.226  -01 17 21.55  23.9r 13YD169   W84  C~52SB      
2013 12  28.11131  01 54 52.227  -01 17 21.63  24.4i 13YD169   W84  C~52SB      
2014 10  01.34424  02 05 05.658  +00 01 16.64  23.2g 13YD169   W84  C~52SB      
2014 10  01.34562  02 05 05.658  +00 01 16.37  23.4r 13YD169   W84  C~52SB      
2014 10  29.27540  02 02 48.323  -00 09 11.37  23.6r 13YD169   W84  C~52SB      
2015 12  17.12233  02 03 23.119  +00 50 30.21  23.1i 13YD169   W84  C~52SB      
2016 01  10.05637  02 02 39.278  +00 55 56.31  23.7r 13YD169   W84  C~52SB      
2016 09  09.40159  02 14 30.679  +02 19 55.86  23.6i 13YD169   W84  C~52SB      
2016 09  10.37651  02 14 27.637  +02 19 34.42  23.4r 13YD169   W84  C~52SB      
2016 09  10.37787  02 14 27.620  +02 19 34.43  24.3g 13YD169   W84  C~52SB      
2016 10  28.23296  02 10 56.045  +02 01 40.26  22.9r 13YD169   W84  C~52SB      
2016 10  28.23436  02 10 56.027  +02 01 40.11  23.2i 13YD169   W84  C~52SB      
2016 11  03.18588  02 10 25.893  +01 59 52.91  24.1g 13YD169   W84  C~52SB      
2016 11  27.12737  02 08 32.691  +01 55 07.15  23.2r 13YD169   W84  C~52SB      
2017 09  18.31069  02 17 58.998  +03 20 46.20  23.9r 13YD169   W84  C~52SB      
2017 09  25.30996  02 17 32.033  +03 18 09.86  24.3r 13YD169   W84  C~52SB      
2017 09  25.34372  02 17 31.887  +03 18 09.07  23.6i 13YD169   W84  C~52SB      
2017 09  26.29411  02 17 28.006  +03 17 47.35  24.0g 13YD169   W84  C~52SB      

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     0.10       0.00    -0.13
     2   0.0219   -190.62    -0.01     193.87    -0.05
     3   0.0219   -190.63     0.00     193.79    -0.17
     4   0.7809  10096.49    -0.05    1316.68     0.29
     5   0.7809  10096.40    -0.05    1316.43     0.03
     6   0.8574   7943.90    -0.06    1465.81     0.03
     7   1.9904   9714.71    -0.06    4629.17    -0.08
     8   2.0559   9215.97     0.18    5169.07     0.20
     9   2.7222  21050.00    -0.03    6089.03     0.11
    10   2.7248  20999.21     0.15    6085.13    -0.14
    11   2.7248  20998.97    -0.02    6085.23    -0.04
    12   2.8559  17622.33     0.14    6207.28    -0.04
    13   2.8559  17622.03    -0.06    6207.23    -0.10
    14   2.8722  17158.35     0.03    6267.75     0.21
    15   2.9377  15459.96    -0.32    6604.98     0.08
    16   3.7459  25325.66    -0.21    8416.65     0.07
    17   3.7650  24885.89     0.15    8412.82    -0.03
    18   3.7651  24883.53     0.05    8412.85    -0.02
    19   3.7677  24820.53     0.07    8413.04    -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.

13YD169    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        43.069    43.087    43.051
ecceobj         0.180     0.180     0.179
incobj         28.864    28.863    28.864
qmin           34.711    34.754    34.689
qmax           51.118    51.178    51.187
amean          42.756    42.797    42.755
amin           42.377    42.446    42.375
amax           43.159    43.213    43.191
emean           0.167     0.167     0.168
emin            0.148     0.149     0.148
emax            0.186     0.185     0.187
imean          28.060    28.070    28.046
imin           27.626    27.643    27.614
imax           28.538    28.530    28.533
excite_mean     0.499     0.499     0.499
fracstop        1.000     1.000     1.000
cjmean          2.777     2.777     2.777

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     180.7     183.9
kozaiamp        180.0     179.9     180.0