Orbit Fit and Astrometric record for 13TM227

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: 13TM227   
# Created Sat Dec  4 02:12:09 2021
# Orbit generated from Bernstein formalism
# Fitting      9 observations of      9
# Arc:   3.15y
# First observation: 2013/10/03
#  Last observation: 2016/11/25
Preliminary a, adot, b, bdot, g, gdot:
   0.000195   0.039244  -0.000000  -0.004683   0.033399   0.000000
# Chi-squared of fit:     3.64 DOF:     12 RMS:  0.11
# Min/Max residuals:    -0.25    0.24
# Exact a, adot, b, bdot, g, gdot:
  1.947718E-05  3.914764E-02 -1.371144E-06 -4.662037E-03  3.245381E-02 -1.965224E-03
# Covariance matrix:
  5.4770E-13  2.6384E-12  9.1682E-15 -3.3789E-13  1.8548E-12  2.3870E-11
  2.6384E-12  3.5106E-11  1.1814E-13 -4.2899E-12  2.1233E-11  3.0330E-10
  9.1682E-15  1.1814E-13  3.0111E-13 -1.1647E-13  7.1169E-14  1.0225E-12
 -3.3789E-13 -4.2899E-12 -1.1647E-13  6.0086E-13 -2.6139E-12 -3.7152E-11
  1.8548E-12  2.1233E-11  7.1169E-14 -2.6139E-12  1.4021E-11  1.8469E-10
  2.3870E-11  3.0330E-10  1.0225E-12 -3.7152E-11  1.8469E-10  2.6266E-09
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.897476    7.266642   -0.042608   -0.015562   -0.999667  2456568.594378
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:          348.37226 +/-     0.277
Argument of Peri:      204.90336 +/-     0.426
Long of Asc Node:      180.08512 +/-     0.001
Inclination:             6.84374 +/-     0.000
Eccentricity:         0.19821918 +/-    0.0005
Semi-Major Axis:     39.37060756 +/-    0.0153
Time of Perihelion: 2459474.9005 +/-      69.3
Perihelion:          31.56659788 +/-    0.0238
Aphelion:            47.17461724 +/-    0.0274
Period (y)              247.0395 +/-      0.14
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           31.54765300 +/-    0.0035
Ecliptic Y            4.06873525 +/-    0.0004
Ecliptic Z           -0.48269243 +/-    0.0001
Ecliptic XDOT        -0.00059445 +/-    0.0000
Ecliptic YDOT         0.00325292 +/-    0.0000
Ecliptic ZDOT        -0.00039051 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.81260769 +/-    0.0035
Geocenter to KBO     30.81302705 +/-    0.0036
# Hcoef:  8.34

The following table shows the complete astrometric record for 13TM227. 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 (13TM227) followed by the observatory code and reference code for the source of the astrometry.

2013 10  03.09360  00 28 06.589  +02 03 34.08  23.2g 13TM227   W84  C~52Rd      
2013 10  04.15303  00 28 00.627  +02 02 53.22  23.0g 13TM227   W84  C~52Rd      
2013 10  13.09336  00 27 11.013  +01 57 10.46  22.9z 13TM227   W84  C~52Rd      
2013 10  13.12065  00 27 10.864  +01 57 09.55  23.3i 13TM227   W84  C~52Rd      
2013 11  08.16809  00 25 04.359  +01 42 42.51  23.9r 13TM227   W84  C~52Rd      
2016 09  05.32440  00 56 40.205  +04 14 58.69  23.0r 13TM227   W84  C~52Rd      
2016 09  05.32577  00 56 40.186  +04 14 58.80  24.0g 13TM227   W84  C~52Rd      
2016 09  09.28468  00 56 21.594  +04 12 44.77  23.4i 13TM227   W84  C~52Rd      
2016 11  25.07037  00 49 54.804  +03 29 32.27  23.7r 13TM227   W84  C~52Rd      

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    -0.08       0.00    -0.19
     2   0.0029    -98.24     0.01      -2.25     0.17
     3   0.0274   -916.91     0.01     -23.44    -0.06
     4   0.0275   -919.32     0.09     -23.39     0.03
     5   0.0988  -3004.39    -0.03     -70.53     0.05
     6   2.9247  26852.12     0.02   -2823.91    -0.25
     7   2.9247  26851.89    -0.09   -2823.69    -0.04
     8   2.9355  26538.37     0.07   -2838.98     0.24
     9   3.1457  20114.91    -0.00   -2966.91     0.05

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.

13TM227    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.590    39.612    39.568
ecceobj         0.202     0.203     0.202
incobj          6.827     6.826     6.827
qmin           30.951    31.011    30.807
qmax           48.641    48.664    48.825
amean          39.457    39.457    39.457
amin           38.900    38.903    38.870
amax           40.080    40.087    40.104
emean           0.192     0.194     0.194
emin            0.170     0.173     0.169
emax            0.216     0.214     0.220
imean           7.418     7.280     7.050
imin            6.460     6.455     5.980
imax            8.464     8.305     8.040
excite_mean     0.232     0.232     0.230
fracstop        1.000     1.000     1.000
cjmean          2.990     2.990     2.992

libcent 0       179.4     179.5     180.8
libamp  0       132.2     131.2     134.4
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       172.1     164.0     153.9
kozaiamp        180.0     180.0     179.9