Orbit Fit and Astrometric record for 13TZ228

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: 13TZ228   
# Created Sun Dec  5 02:12:07 2021
# Orbit generated from Bernstein formalism
# Fitting      9 observations of      9
# Arc:   4.02y
# First observation: 2013/10/13
#  Last observation: 2017/10/20
Preliminary a, adot, b, bdot, g, gdot:
  -0.000008   0.020538  -0.000001   0.000690   0.022289   0.000000
# Chi-squared of fit:     2.62 DOF:     12 RMS:  0.10
# Min/Max residuals:    -0.21    0.16
# Exact a, adot, b, bdot, g, gdot:
  1.464578E-05  2.047424E-02  5.531214E-07  6.888645E-04  2.242671E-02 -4.129921E-04
# Covariance matrix:
  4.7455E-13 -1.2740E-13 -4.8266E-15  1.7266E-15  4.2668E-13  2.8281E-13
 -1.2740E-13  1.2974E-12 -1.4383E-14  4.4780E-14  7.1448E-13  1.5270E-11
 -4.8266E-15 -1.4383E-14  3.6034E-13 -9.8024E-14 -2.8386E-14 -2.0534E-13
  1.7266E-15  4.4780E-14 -9.8024E-14  4.9884E-14  3.6537E-14  5.6341E-13
  4.2668E-13  7.1448E-13 -2.8386E-14  3.6537E-14  2.1386E-12  1.1267E-11
  2.8281E-13  1.5270E-11 -2.0534E-13  5.6341E-13  1.1267E-11  1.9038E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
   -3.505036    5.985578   -0.235252   -0.059142   -0.967472  2456578.641138
# Heliocentric elements and errors
Epoch:              2456570.5000  =  2013/10/05
Mean Anomaly:          206.02390 +/-     0.842
Argument of Peri:       95.39698 +/-     0.838
Long of Asc Node:       66.75417 +/-     0.008
Inclination:             3.94121 +/-     0.000
Eccentricity:         0.04106161 +/-    0.0003
Semi-Major Axis:     43.92370633 +/-    0.0100
Time of Perihelion: 2502048.1193 +/-     248.3
Perihelion:          42.12012825 +/-    0.0163
Aphelion:            45.72728441 +/-    0.0168
Period (y)              291.1097 +/-      0.10
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           45.20253046 +/-    0.0029
Ecliptic Y            4.97915141 +/-    0.0003
Ecliptic Z           -2.72605633 +/-    0.0002
Ecliptic XDOT        -0.00031175 +/-    0.0000
Ecliptic YDOT         0.00247971 +/-    0.0000
Ecliptic ZDOT         0.00008716 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   45.55756898 +/-    0.0029
Geocenter to KBO     44.58967918 +/-    0.0029
# Hcoef:  7.40

The following table shows the complete astrometric record for 13TZ228. 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 (13TZ228) followed by the observatory code and reference code for the source of the astrometry.

2013 10  13.14036  00 27 31.693  -00 50 30.05  23.5i 13TZ228   W84  C~52Rg      
2013 10  13.14173  00 27 31.694  -00 50 30.11  23.5z 13TZ228   W84  C~52Rg      
2013 11  22.09251  00 25 19.498  -01 02 29.45  23.9r 13TZ228   W84  C~52Rg      
2013 11  23.11061  00 25 17.297  -01 02 39.05  24.2r 13TZ228   W84  C~52Rg      
2015 10  17.15829  00 35 46.618  +00 08 04.96  23.7r 13TZ228   W84  C~52Rg      
2017 08  22.33147  00 47 47.006  +01 31 05.83  24.5g 13TZ228   W84  C~52Rg      
2017 09  18.25390  00 46 13.531  +01 20 22.65  23.7r 13TZ228   W84  C~52Rg      
2017 10  20.16215  00 44 01.694  +01 06 42.02  24.2r 13TZ228   W84  C~52Rg      
2017 10  20.16352  00 44 01.696  +01 06 41.93  23.9i 13TZ228   W84  C~52Rg      

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    -0.01
     2   0.0000     -0.01     0.04      -0.06    -0.08
     3   0.1094  -2105.59    -0.15     123.59     0.16
     4   0.1122  -2139.71     0.16     127.83    -0.02
     5   2.0096   8212.99     0.00     289.84    -0.07
     6   3.8582  20166.06     0.04     591.68    -0.21
     7   3.9319  18610.65    -0.06     554.53     0.08
     8   4.0192  16454.70    -0.03     582.40     0.12
     9   4.0192  16454.69     0.05     582.31     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.

13TZ228    quality flag:2

Type:          5:3EF CLASSICAL CLASSICAL

axisobj        44.168    44.198    44.139
ecceobj         0.035     0.035     0.035
incobj          3.941     3.941     3.941
qmin           41.236    41.255    41.107
qmax           46.873    46.871    46.884
amean          43.949    43.979    43.921
amin           43.610    43.633    43.573
amax           44.305    44.328    44.275
emean           0.043     0.043     0.043
emin            0.027     0.026     0.026
emax            0.058     0.058     0.059
imean           2.489     2.493     2.486
imin            1.745     1.757     1.733
imax            3.105     3.095     3.109
excite_mean     0.061     0.061     0.061
fracstop        1.000     1.000     1.000
cjmean          3.096     3.097     3.096

libcent 0       178.3    -180.0    -180.0
libamp  0       172.7    -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       176.7     176.7     176.9
kozaiamp        180.0     180.0     180.0