Orbit Fit and Astrometric record for 13TJ229

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: 13TJ229   
# Created Sat Nov 27 02:12:16 2021
# Orbit generated from Bernstein formalism
# Fitting     17 observations of     17
# Arc:   3.95y
# First observation: 2013/10/13
#  Last observation: 2017/09/24
Preliminary a, adot, b, bdot, g, gdot:
  -0.000221   0.026838   0.000143  -0.020107   0.027599   0.000000
# Chi-squared of fit:    10.01 DOF:     28 RMS:  0.14
# Min/Max residuals:    -0.37    0.37
# Exact a, adot, b, bdot, g, gdot:
  1.450643E-05  2.659095E-02 -1.191593E-05 -1.994499E-02  2.775281E-02 -1.687031E-03
# Covariance matrix:
  3.7452E-13 -2.6250E-13 -5.8142E-14  1.1081E-13  1.9025E-14 -1.4030E-12
 -2.6250E-13  3.7661E-13  1.2161E-13 -2.3419E-13  1.0651E-13  2.9597E-12
 -5.8142E-14  1.2161E-13  3.2818E-13 -1.8513E-13  6.8874E-14  1.1289E-12
  1.1081E-13 -2.3419E-13 -1.8513E-13  2.1997E-13 -1.4288E-13 -2.1872E-12
  1.9025E-14  1.0651E-13  6.8874E-14 -1.4288E-13  6.8082E-13  1.7828E-12
 -1.4030E-12  2.9597E-12  1.1289E-12 -2.1872E-12  1.7828E-12  2.7612E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -4.958135   14.012212   -0.098763   -0.085658   -0.988793  2456578.708038
# Heliocentric elements and errors
Epoch:              2456570.5000  =  2013/10/05
Mean Anomaly:          354.85166 +/-     0.015
Argument of Peri:      199.42690 +/-     0.034
Long of Asc Node:      187.76600 +/-     0.000
Inclination:            37.12333 +/-     0.000
Eccentricity:         0.35262832 +/-    0.0001
Semi-Major Axis:     56.89258165 +/-    0.0119
Time of Perihelion: 2458812.0395 +/-       6.7
Perihelion:          36.83064633 +/-    0.0103
Aphelion:            76.95451698 +/-    0.0175
Period (y)              429.1328 +/-      0.13
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           35.76779046 +/-    0.0010
Ecliptic Y            9.03089153 +/-    0.0003
Ecliptic Z           -3.11466901 +/-    0.0001
Ecliptic XDOT        -0.00096719 +/-    0.0000
Ecliptic YDOT         0.00246241 +/-    0.0000
Ecliptic ZDOT        -0.00194571 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.02152076 +/-    0.0010
Geocenter to KBO     36.03239107 +/-    0.0011
# Hcoef:  7.50

The following table shows the complete astrometric record for 13TJ229. 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 (13TJ229) followed by the observatory code and reference code for the source of the astrometry.

2013 10  13.20726  00 59 16.071  +00 57 15.89  23.1i 13TJ229   W84  C~52Rg      
2013 10  13.20863  00 59 16.068  +00 57 15.70  22.9z 13TJ229   W84  C~52Rg      
2013 11  08.17829  00 57 18.391  +00 41 01.25  23.3r 13TJ229   W84  C~52Rg      
2014 10  21.25242  01 06 02.085  +00 23 55.17  22.6r 13TJ229   W84  C~52Rh      
2014 10  21.25516  01 06 02.087  +00 23 55.29  22.8i 13TJ229   W84  C~52Rh      
2014 10  23.24435  01 05 52.608  +00 22 37.83  23.4r 13TJ229   W84  C~52Rh      
2014 11  21.10863  01 03 52.455  +00 07 00.10  22.0z 13TJ229   W84  C~52Rh      
2015 09  04.30414  01 16 58.103  +00 29 04.19  22.9z 13TJ229   W84  C~52Rh      
2015 09  04.30552  01 16 58.106  +00 29 04.21  23.2i 13TJ229   W84  C~52Rh      
2016 08  25.39853  01 24 48.751  +00 07 03.95  23.0i 13TJ229   W84  C~52Rh      
2016 08  26.32824  01 24 46.246  +00 06 27.67  23.2r 13TJ229   W84  C~52Rh      
2016 10  29.23709  01 20 10.597  -00 37 56.54  22.9i 13TJ229   W84  C~52Rh      
2016 10  29.23846  01 20 10.596  -00 37 56.57  23.3r 13TJ229   W84  C~52Rh      
2016 10  29.23984  01 20 10.586  -00 37 56.76  24.1g 13TJ229   W84  C~52Rh      
2017 08  28.38199  01 32 03.614  -00 22 50.12  22.9i 13TJ229   W84  C~52Rh      
2017 09  18.27179  01 30 50.757  -00 37 40.01  23.3g 13TJ229   W84  C~52Rh      
2017 09  24.25475  01 30 25.065  -00 42 04.06  23.3r 13TJ229   W84  C~52Rh      

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     0.13       0.00     0.11
     2   0.0000     -0.11     0.13      -0.16    -0.03
     3   0.0711  -2004.51     0.07    -217.70    -0.07
     4   1.0213   4847.94    -0.37   -4196.67    -0.21
     5   1.0213   4848.01    -0.07   -4196.57    -0.09
     6   1.0268   4686.84     0.06   -4213.18     0.18
     7   1.1058   2661.26    -0.15   -4382.81     0.37
     8   1.8921  14074.15    -0.09   -7717.14    -0.18
     9   1.8921  14074.20     0.05   -7717.14    -0.15
    10   2.8671  20137.32     0.01  -11688.23     0.06
    11   2.8696  20088.18     0.02  -11707.26     0.06
    12   3.0446  15204.28     0.08  -12566.02    -0.03
    13   3.0446  15204.25     0.16  -12566.05    -0.05
    14   3.0446  15204.04     0.06  -12566.16    -0.16
    15   3.8745  25559.22     0.02  -15920.58     0.03
    16   3.9317  24185.96    -0.05  -16319.37    -0.01
    17   3.9481  23721.42    -0.07  -16413.49     0.17

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.

13TJ229    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        57.267    57.302    57.233
ecceobj         0.357     0.357     0.356
incobj         37.033    37.032    37.033
qmin           34.941    34.733    35.063
qmax           79.559    79.849    79.468
amean          56.791    56.835    56.750
amin           56.166    56.241    56.144
amax           57.551    57.592    57.527
emean           0.363     0.366     0.362
emin            0.341     0.342     0.341
emax            0.383     0.388     0.381
imean          36.524    36.460    36.544
imin           35.995    35.832    36.030
imax           37.191    37.170    37.184
excite_mean     0.697     0.698     0.697
fracstop        1.000     1.000     1.000
cjmean          2.586     2.586     2.586

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       180.8     180.2     181.1
kozaiamp        180.0     180.0     180.0