Orbit Fit and Astrometric record for 13TY227

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: 13TY227   
# Created Sat Dec  4 02:12:10 2021
# Orbit generated from Bernstein formalism
# Fitting     17 observations of     17
# Arc:   4.94y
# First observation: 2013/10/04
#  Last observation: 2018/09/11
Preliminary a, adot, b, bdot, g, gdot:
  -0.000085   0.022231   0.000245   0.015602   0.026785   0.000000
# Chi-squared of fit:     3.66 DOF:     28 RMS:  0.08
# Min/Max residuals:    -0.16    0.21
# Exact a, adot, b, bdot, g, gdot:
  1.306058E-05  2.280877E-02  9.442269E-06  1.611170E-02  2.799203E-02  7.050837E-03
# Covariance matrix:
  4.3074E-13 -1.9619E-13  2.3125E-14 -4.6886E-14  1.6401E-13 -6.6297E-13
 -1.9619E-13  2.8162E-13 -9.4903E-14  1.7174E-13  1.6718E-13  2.4875E-12
  2.3125E-14 -9.4903E-14  3.4763E-13 -1.6459E-13 -1.1835E-13 -1.0631E-12
 -4.6886E-14  1.7174E-13 -1.6459E-13  1.6918E-13  1.9913E-13  1.8978E-12
  1.6401E-13  1.6718E-13 -1.1835E-13  1.9913E-13  8.2013E-13  2.9322E-12
 -6.6297E-13  2.4875E-12 -1.0631E-12  1.8978E-12  2.9322E-12  2.7570E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -11.071441   17.714377    0.120900   -0.190588   -0.974560  2456569.675658
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:           80.01696 +/-     0.037
Argument of Peri:      233.74933 +/-     0.021
Long of Asc Node:       32.42674 +/-     0.000
Inclination:            36.50102 +/-     0.000
Eccentricity:         0.24366132 +/-    0.0002
Semi-Major Axis:     36.08879333 +/-    0.0042
Time of Perihelion: 2438959.5327 +/-       7.5
Perihelion:          27.29535030 +/-    0.0066
Aphelion:            44.88223636 +/-    0.0078
Period (y)              216.8037 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           34.37942557 +/-    0.0011
Ecliptic Y           10.85753347 +/-    0.0003
Ecliptic Z           -6.85996220 +/-    0.0002
Ecliptic XDOT         0.00024801 +/-    0.0000
Ecliptic YDOT         0.00242175 +/-    0.0000
Ecliptic ZDOT         0.00141424 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.70000023 +/-    0.0010
Geocenter to KBO     35.72445177 +/-    0.0012
# Hcoef:  7.92

The following table shows the complete astrometric record for 13TY227. 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 (13TY227) followed by the observatory code and reference code for the source of the astrometry.

2013 10  04.17488  01 22 10.662  -03 17 27.51  24.0g 13TY227   W84  C~52Re      
2013 10  04.19442  01 22 10.557  -03 17 27.86  24.2g 13TY227   W84  C~52Re      
2013 11  08.22276  01 18 59.356  -03 28 56.12  23.3r 13TY227   W84  C~52Re      
2014 10  29.24732  01 23 18.313  -02 06 14.26  24.2g 13TY227   W84  C~52Re      
2014 10  29.24869  01 23 18.310  -02 06 14.22  23.4i 13TY227   W84  C~52Re      
2014 11  16.15457  01 21 47.500  -02 10 05.33  23.1r 13TY227   W84  C~52Re      
2015 11  07.13160  01 25 54.752  -00 49 21.25  23.4r 13TY227   W84  C~52Re      
2016 08  14.40169  01 35 37.170  +00 59 31.38  23.6r 13TY227   W84  C~52Re      
2016 08  14.40307  01 35 37.178  +00 59 31.16  24.4g 13TY227   W84  C~52Re      
2016 10  23.18451  01 30 29.364  +00 32 59.62  23.7r 13TY227   W84  C~52Re      
2016 10  28.15912  01 30 02.258  +00 31 20.59  23.8i 13TY227   W84  C~52Re      
2016 11  05.18933  01 29 19.671  +00 29 00.51  23.2z 13TY227   W84  C~52Re      
2017 08  22.35753  01 38 30.802  +02 13 33.92  24.3r 13TY227   W84  C~52Re      
2017 08  22.35891  01 38 30.804  +02 13 34.03  23.3i 13TY227   W84  C~52Re      
2017 08  27.38595  01 38 16.082  +02 12 02.91  23.1r 13TY227   W84  C~52Re      
2017 08  27.38732  01 38 16.065  +02 12 02.93  23.7g 13TY227   W84  C~52Re      
2018 09  11.35717  01 40 33.675  +03 22 36.72  24.0r 13TY227   W84  C~52Re      

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    -0.04       0.00    -0.07
     2   0.0001     -1.59     0.08       0.27     0.05
     3   0.0960  -2911.97     0.05     448.99    -0.12
     4   1.0680   2560.49    -0.04    3569.01    -0.04
     5   1.0680   2560.46     0.05    3569.06    -0.01
     6   1.1170   1213.11    -0.16    3871.99     0.21
     7   2.0916   6487.33     0.08    6949.12     0.04
     8   2.8617  17100.37    -0.09    9688.49     0.15
     9   2.8617  17100.40    -0.01    9688.24    -0.09
    10   3.0527  12195.45    -0.01    9966.22    -0.05
    11   3.0663  11779.98     0.09   10028.94     0.04
    12   3.0883  11133.32    -0.07   10141.87    -0.09
    13   3.8828  21247.69    -0.08   12839.97    -0.11
    14   3.8828  21247.77     0.05   12840.06    -0.02
    15   3.8965  21006.06     0.12   12838.90    -0.01
    16   3.8965  21005.83    -0.04   12839.02     0.11
    17   4.9368  24584.96     0.01   16020.56    -0.01

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.

13TY227    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        36.257    36.271    36.244
ecceobj         0.245     0.245     0.245
incobj         36.446    36.446    36.447
qmin           27.068    27.074    27.062
qmax           45.367    45.306    45.506
amean          35.990    36.053    36.016
amin           35.587    35.781    35.555
amax           36.326    36.385    36.532
emean           0.239     0.237     0.238
emin            0.230     0.230     0.228
emax            0.249     0.249     0.250
imean          36.268    36.313    36.279
imin           36.068    36.068    36.069
imax           36.397    36.453    36.502
excite_mean     0.638     0.638     0.638
fracstop        0.004     0.006     0.004
cjmean          2.534     2.534     2.534

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       234.5     234.5     233.9
kozaiamp          1.9       1.8       2.6