Orbit Fit and Astrometric record for 13TR227

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: 13TR227   
# Created Sat Dec  4 02:12:09 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     15 observations of     15
# Arc:   5.16y
# First observation: 2013/10/03
#  Last observation: 2018/11/29
# Chi-squared of fit:     7.08 DOF:     24 RMS:  0.12
# Min/Max residuals:    -0.30    0.29
# Exact a, adot, b, bdot, g, gdot:
  1.453109E-05  2.429020E-02 -3.489752E-06 -8.479773E-03  2.600493E-02  4.574118E-03
# Covariance matrix:
  3.8068E-13 -1.5363E-13 -1.1934E-14  2.7523E-14  8.5844E-14 -8.0406E-13
 -1.5363E-13  3.4867E-13  4.8877E-14 -1.2440E-13  1.8102E-13  3.5158E-12
 -1.1934E-14  4.8877E-14  3.4133E-13 -1.1208E-13  2.0264E-14  5.5825E-13
  2.7523E-14 -1.2440E-13 -1.1208E-13  8.6455E-14 -6.1425E-14 -1.4116E-12
  8.5844E-14  1.8102E-13  2.0264E-14 -6.1425E-14  5.2411E-13  1.6455E-12
 -8.0406E-13  3.5158E-12  5.5825E-13 -1.4116E-12  1.6455E-12  3.9979E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -9.749337   28.109515    0.313343   -0.160816   -0.936618  2456568.749008
# Heliocentric elements and errors
Epoch:              2456568.5000  =  2013/10/03
Mean Anomaly:           77.73216 +/-     0.040
Argument of Peri:      110.22183 +/-     0.031
Long of Asc Node:      182.43075 +/-     0.001
Inclination:            21.47239 +/-     0.000
Eccentricity:         0.16434377 +/-    0.0002
Semi-Major Axis:     39.71913340 +/-    0.0054
Time of Perihelion: 2436826.2652 +/-      10.8
Perihelion:          33.19154110 +/-    0.0104
Aphelion:            46.24672571 +/-    0.0113
Period (y)              250.3271 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           34.41381529 +/-    0.0009
Ecliptic Y           18.03067405 +/-    0.0005
Ecliptic Z           -6.51193286 +/-    0.0002
Ecliptic XDOT        -0.00092578 +/-    0.0000
Ecliptic YDOT         0.00240671 +/-    0.0000
Ecliptic ZDOT        -0.00096128 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.39306135 +/-    0.0008
Geocenter to KBO     38.45417609 +/-    0.0011
# Hcoef:  7.82

The following table shows the complete astrometric record for 13TR227. 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 (13TR227) followed by the observatory code and reference code for the source of the astrometry.

2013 10  03.24823  01 58 18.717  +01 40 53.65  24.7g 13TR227   W84  C~52Re      
2013 10  04.18849  01 58 14.524  +01 40 21.15  24.5g 13TR227   W84  C~52Re      
2013 11  08.21389  01 55 28.704  +01 22 00.89  23.8r 13TR227   W84  C~52Re      
2013 11  13.14978  01 55 06.210  +01 19 58.96  22.6z 13TR227   W84  C~52Re      
2016 01  10.05637  02 04 04.341  +01 17 03.30  24.3r 13TR227   W84  C~52Re      
2016 09  10.37651  02 17 07.057  +01 59 10.87  23.5r 13TR227   W84  C~52Re      
2016 09  10.37787  02 17 07.051  +01 59 11.17  24.2g 13TR227   W84  C~52Re      
2016 10  28.22883  02 13 48.760  +01 32 44.60  23.4r 13TR227   W84  C~52Re      
2016 10  28.23021  02 13 48.763  +01 32 44.54  23.4i 13TR227   W84  C~52Re      
2016 10  28.23160  02 13 48.750  +01 32 44.46  24.2g 13TR227   W84  C~52Re      
2016 11  03.22984  02 13 19.818  +01 29 54.00  24.2r 13TR227   W84  C~52Re      
2017 10  13.24804  02 20 44.032  +01 42 24.84  23.7r 13TR227   W84  C~52Re      
2017 11  16.18502  02 18 03.227  +01 26 25.50  23.3r 13TR227   W84  C~52Re      
2018 01  05.06676  02 15 26.272  +01 20 01.75  24.6g 13TR227   W84  C~52Re      
2018 11  29.17757  02 22 47.656  +01 24 13.45  24.5g 13TR227   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     0.17       0.00    -0.30
     2   0.0026      0.00    -0.10       0.00     0.00
     3   0.0985      0.00    -0.06       0.00     0.09
     4   0.1120      0.00    -0.05       0.00     0.17
     5   2.2692      0.00     0.12       0.00     0.03
     6   2.9381      0.00     0.10       0.00    -0.05
     7   2.9381      0.00     0.07       0.00     0.29
     8   3.0691      0.00    -0.08       0.00    -0.04
     9   3.0691      0.00     0.07       0.00    -0.06
    10   3.0691      0.00    -0.02       0.00    -0.10
    11   3.0855      0.00    -0.13       0.00     0.09
    12   4.0274      0.00     0.01       0.00    -0.12
    13   4.1203      0.00    -0.19       0.00    -0.06
    14   4.2569      0.00     0.10       0.00     0.11
    15   5.1552      0.00     0.07       0.00    -0.03

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.

13TR227    quality flag:2

Type:           3:2E  SCATNEAR      3:2E

axisobj        39.931    39.931    39.930
ecceobj         0.167     0.167     0.167
incobj         21.411    21.411    21.411
qmin           32.622    32.390    32.550
qmax           47.092    47.176    47.003
amean          39.456    39.456    39.456
amin           38.985    38.957    38.964
amax           40.025    40.012    40.009
emean           0.141     0.136     0.141
emin            0.099     0.051     0.100
emax            0.177     0.180     0.176
imean          22.050    22.041    22.007
imin           21.002    21.002    21.002
imax           22.948    23.418    23.015
excite_mean     0.401     0.400     0.401
fracstop        1.000     1.000     1.000
cjmean          2.864     2.865     2.865

libcent 0       178.0    -180.0     180.0
libamp  0       137.0    -180.0     138.8
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       176.9     156.2     181.1
kozaiamp        180.0     180.0     180.0