Orbit Fit and Astrometric record for 13TN229

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: 13TN229   
# Created Sat Dec  4 02:12:12 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     22 observations of     22
# Arc:   5.09y
# First observation: 2013/10/02
#  Last observation: 2018/11/06
# Chi-squared of fit:     7.38 DOF:     38 RMS:  0.10
# Min/Max residuals:    -0.22    0.23
# Exact a, adot, b, bdot, g, gdot:
  1.530520E-05  2.689317E-02 -3.518493E-06 -7.107672E-03  2.630970E-02  5.155669E-03
# Covariance matrix:
  2.9521E-13 -2.5029E-13 -2.7431E-14  4.8867E-14 -2.2852E-14 -1.6999E-12
 -2.5029E-13  3.9391E-13  5.4248E-14 -9.6146E-14  1.2972E-14  3.3481E-12
 -2.7431E-14  5.4248E-14  2.1022E-13 -8.2155E-14 -1.7983E-15  5.0493E-13
  4.8867E-14 -9.6146E-14 -8.2155E-14  5.9903E-14 -5.2995E-15 -8.9492E-13
 -2.2852E-14  1.2972E-14 -1.7983E-15 -5.2995E-15  5.5453E-13  1.2148E-13
 -1.6999E-12  3.3481E-12  5.0493E-13 -8.9492E-13  1.2148E-13  3.1164E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -10.055853    8.232473   -0.011569   -0.174654   -0.985539  2456567.767168
# Heliocentric elements and errors
Epoch:              2456568.5000  =  2013/10/03
Mean Anomaly:           41.36733 +/-     0.017
Argument of Peri:      151.33119 +/-     0.025
Long of Asc Node:      155.59003 +/-     0.001
Inclination:            17.74554 +/-     0.000
Eccentricity:         0.22684992 +/-    0.0002
Semi-Major Axis:     45.39982961 +/-    0.0093
Time of Perihelion: 2443729.3941 +/-       6.5
Perihelion:          35.10088211 +/-    0.0126
Aphelion:            55.69877711 +/-    0.0154
Period (y)              305.9071 +/-      0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           38.02763753 +/-    0.0010
Ecliptic Y            5.51665074 +/-    0.0002
Ecliptic Z           -6.63680664 +/-    0.0002
Ecliptic XDOT        -0.00001189 +/-    0.0000
Ecliptic YDOT         0.00282553 +/-    0.0000
Ecliptic ZDOT        -0.00082182 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.99452328 +/-    0.0010
Geocenter to KBO     38.00871335 +/-    0.0011
# Hcoef:  7.47

The following table shows the complete astrometric record for 13TN229. 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 (13TN229) followed by the observatory code and reference code for the source of the astrometry.

2013 10  02.26639  00 46 07.432  -05 58 34.69  23.7r 13TN229   W84  C~55Nw      
2013 10  04.21244  00 45 58.237  -05 59 40.52  23.4r 13TN229   W84  C~55Nw      
2013 10  04.21385  00 45 58.234  -05 59 40.65  23.6i 13TN229   W84  C~55Nw      
2013 10  11.21232  00 45 25.241  -06 03 27.74  24.5g 13TN229   W84  C~55Nw      
2014 09  21.19136  00 53 17.56   -05 37 44.4   24.3V 13TN229   W84  C~55Nw      
2014 09  21.27145  00 53 17.20   -05 37 47.3         13TN229   W84  C~55Nw      
2014 09  21.31846  00 53 16.99   -05 37 48.9         13TN229   W84  C~55Nw      
2014 10  03.30184  00 52 21.764  -05 44 51.89  23.2r 13TN229   W84  C~55Nw      
2014 10  03.30321  00 52 21.758  -05 44 52.04  22.9i 13TN229   W84  C~55Nw      
2014 12  06.08895  00 48 22.326  -06 04 51.23  22.3z 13TN229   W84  C~55Nw      
2015 09  04.29075  01 00 40.333  -05 13 01.92  23.4i 13TN229   W84  C~55Nw      
2016 08  25.41506  01 07 17.202  -04 53 22.80  23.1i 13TN229   W84  C~55Nw      
2016 08  25.41643  01 07 17.197  -04 53 22.86  22.9z 13TN229   W84  C~55Nw      
2016 09  01.35881  01 06 55.056  -04 57 28.89  23.9g 13TN229   W84  C~55Nw      
2016 09  30.20197  01 04 56.505  -05 14 50.84  23.5r 13TN229   W84  C~55Nw      
2016 09  30.20335  01 04 56.491  -05 14 50.87  23.5i 13TN229   W84  C~55Nw      
2016 09  30.20472  01 04 56.487  -05 14 51.12  24.0g 13TN229   W84  C~55Nw      
2016 10  01.21775  01 04 51.826  -05 15 25.95  23.7r 13TN229   W84  C~55Nw      
2016 10  01.21913  01 04 51.800  -05 15 25.89  24.4g 13TN229   W84  C~55Nw      
2016 11  05.13271  01 02 13.506  -05 31 45.68  22.3z 13TN229   W84  C~55Nw      
2017 09  24.25921  01 11 29.030  -04 56 50.91  22.5z 13TN229   W84  C~55Nw      
2018 11  06.18559  01 14 16.274  -05 03 14.08  22.4r 13TN229   W84  C~55Nw      

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     0.23       0.00    -0.07
     2   0.0053      0.00    -0.05       0.00     0.00
     3   0.0053      0.00     0.01       0.00    -0.08
     4   0.0245      0.00     0.03       0.00    -0.02
     5   0.9690      0.00    -0.09       0.00    -0.04
     6   0.9692      0.00    -0.01       0.00    -0.03
     7   0.9693      0.00     0.05       0.00     0.08
     8   1.0022      0.00    -0.08       0.00     0.09
     9   1.0022      0.00    -0.07       0.00    -0.01
    10   1.1768      0.00    -0.13       0.00     0.12
    11   1.9220      0.00    -0.14       0.00     0.14
    12   2.8971      0.00     0.06       0.00     0.15
    13   2.8971      0.00     0.05       0.00     0.13
    14   2.9161      0.00    -0.16       0.00     0.05
    15   2.9950      0.00     0.14       0.00    -0.04
    16   2.9950      0.00     0.02       0.00    -0.02
    17   2.9950      0.00     0.06       0.00    -0.22
    18   2.9978      0.00     0.19       0.00    -0.10
    19   2.9978      0.00    -0.10       0.00     0.01
    20   3.0934      0.00     0.21       0.00     0.03
    21   3.9781      0.00    -0.03       0.00    -0.14
    22   5.0949      0.00    -0.07       0.00     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.

13TN229    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        45.699    45.699    45.699
ecceobj         0.232     0.232     0.232
incobj         17.702    17.702    17.702
qmin           33.731    33.833    33.860
qmax           57.752    57.726    57.870
amean          45.375    45.504    45.612
amin           44.889    45.006    44.993
amax           46.065    46.054    46.194
emean           0.233     0.233     0.235
emin            0.213     0.212     0.214
emax            0.257     0.255     0.255
imean          16.695    16.678    16.735
imin           15.636    15.666    15.767
imax           17.502    17.657    17.597
excite_mean     0.370     0.370     0.371
fracstop        1.000     1.000     1.000
cjmean          2.951     2.952     2.952

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       181.8     179.8     185.1
kozaiamp        180.0     180.0     179.9