Orbit Fit and Astrometric record for 13TZ171

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: 13TZ171   
# Created Fri Dec  3 02:12:03 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     49 observations of     49
# Arc:   5.16y
# First observation: 2013/10/04
#  Last observation: 2018/12/01
# Chi-squared of fit:    10.35 DOF:     92 RMS:  0.08
# Min/Max residuals:    -0.30    0.26
# Exact a, adot, b, bdot, g, gdot:
  1.745442E-05  3.077065E-02 -3.189624E-06 -6.090723E-03  2.782329E-02 -1.101402E-03
# Covariance matrix:
  2.0866E-13 -2.2833E-14 -6.7449E-15  5.0617E-16  1.7821E-13 -3.7615E-14
 -2.2833E-14  8.1241E-14  6.7993E-15 -1.5443E-14  6.2796E-14  5.7856E-13
 -6.7449E-15  6.7993E-15  7.7082E-14 -2.5486E-14 -2.9540E-15  5.9583E-14
  5.0617E-16 -1.5443E-14 -2.5486E-14  1.5899E-14 -1.3090E-14 -1.3011E-13
  1.7821E-13  6.2796E-14 -2.9540E-15 -1.3090E-14  2.9416E-13  4.6548E-13
 -3.7615E-14  5.7856E-13  5.9583E-14 -1.3011E-13  4.6548E-13  4.8809E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -11.553340   28.512114    0.302891   -0.190824   -0.934058  2456569.789667
# Heliocentric elements and errors
Epoch:              2456570.5000  =  2013/10/05
Mean Anomaly:          349.25393 +/-     0.016
Argument of Peri:      241.68135 +/-     0.024
Long of Asc Node:      163.69526 +/-     0.001
Inclination:            15.89462 +/-     0.000
Eccentricity:         0.19570141 +/-    0.0001
Semi-Major Axis:     45.55186788 +/-    0.0045
Time of Perihelion: 2459922.5070 +/-      16.7
Perihelion:          36.63730326 +/-    0.0047
Aphelion:            54.46643250 +/-    0.0062
Period (y)              307.4450 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           31.92369656 +/-    0.0006
Ecliptic Y           17.00059039 +/-    0.0003
Ecliptic Z           -7.19843899 +/-    0.0001
Ecliptic XDOT        -0.00165029 +/-    0.0000
Ecliptic YDOT         0.00255129 +/-    0.0000
Ecliptic ZDOT        -0.00056535 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.87766488 +/-    0.0005
Geocenter to KBO     35.94117397 +/-    0.0007
# Hcoef:  7.29

The following table shows the complete astrometric record for 13TZ171. 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 (13TZ171) followed by the observatory code and reference code for the source of the astrometry.

2013 10  04.288889 02 02 19.34   +00 07 49.5   23.3g 13TZ171   W84  C~352D      
2013 10  27.13254  02 00 27.051  -00 04 46.75  23.9g 13TZ171   W84  C~4yR8      
2013 10  27.13254  02 00 27.05   -00 04 46.8   23.8g 13TZ171   W84  C~3clO      
2013 11  04.07535  01 59 47.18   -00 08 29.8   23.0r 13TZ171   W84  C~352D      
2013 11  04.13845  01 59 46.86   -00 08 31.4         13TZ171   W84  C~352D      
2013 11  04.22080  01 59 46.44   -00 08 33.5         13TZ171   W84  C~352D      
2013 11  13.149259 01 59 03.14   -00 12 08.1   22.4z 13TZ171   W84  C~352D      
2013 11  13.14978  01 59 03.151  -00 12 08.13  22.4z 13TZ171   W84  C~4yR8      
2013 12  01.18280  01 57 45.935  -00 17 03.77  23.2r 13TZ171   W84  C~4yR8      
2013 12  01.18280  01 57 45.94   -00 17 03.8   23.1r 13TZ171   W84  C~3clO      
2013 12  01.18426  01 57 45.919  -00 17 03.84  23.0i 13TZ171   W84  C~4yR8      
2013 12  01.18426  01 57 45.92   -00 17 03.9   23.0i 13TZ171   W84  C~3clO      
2013 12  20.12820  01 56 48.640  -00 18 25.79  22.6i 13TZ171   W84  C~4yR8      
2013 12  20.12820  01 56 48.64   -00 18 25.8   22.7i 13TZ171   W84  C~3clO      
2013 12  20.12959  01 56 48.631  -00 18 25.95  22.8z 13TZ171   W84  C~4yR8      
2014 10  21.29169  02 08 04.530  +00 15 41.31  22.8r 13TZ171   W84  C~4yR8      
2014 10  21.29169  02 08 04.53   +00 15 41.3   23.0r 13TZ171   W84  C~3clO      
2014 10  29.27403  02 07 24.067  +00 11 37.47  23.0g 13TZ171   W84  C~4yR8      
2014 10  29.27403  02 07 24.07   +00 11 37.5   23.0g 13TZ171   W84  C~3clO      
2014 10  29.27540  02 07 24.06   +00 11 37.5   22.7r 13TZ171   W84  C~3clO      
2014 12  16.13070  02 04 00.212  -00 01 22.75  22.5i 13TZ171   W84  C~4yR8      
2014 12  16.13070  02 04 00.21   -00 01 22.8   22.6i 13TZ171   W84  C~3clO      
2015 01  16.05620  02 03 20.335  +00 03 24.36  22.6z 13TZ171   W84  C~4yR8      
2015 12  05.07384  02 11 40.815  +00 16 44.71  22.5i 13TZ171   W84  C~4yR8      
2015 12  05.07384  02 11 40.81   +00 16 44.7   22.5i 13TZ171   W84  C~3clO      
2015 12  05.07522  02 11 40.804  +00 16 44.64  22.8r 13TZ171   W84  C~4yR8      
2015 12  05.07522  02 11 40.80   +00 16 44.6   22.8r 13TZ171   W84  C~3clO      
2015 12  17.13079  02 11 00.303  +00 15 42.49  22.9i 13TZ171   W84  C~4yR8      
2015 12  17.13079  02 11 00.30   +00 15 42.5   23.0i 13TZ171   W84  C~3clO      
2016 01  10.06762  02 10 18.303  +00 18 31.68  24.2g 13TZ171   W84  C~4yR8      
2016 10  27.17613  02 21 47.519  +00 47 01.03  23.0r 13TZ171   W84  C~4yR8      
2016 10  27.17613  02 21 47.52   +00 47 01.1   23.0r 13TZ171   W84  C~3clO      
2016 10  27.17750  02 21 47.517  +00 47 00.89  22.9i 13TZ171   W84  C~4yR8      
2016 10  27.17750  02 21 47.52   +00 47 00.9   22.9i 13TZ171   W84  C~3clO      
2016 10  27.17887  02 21 47.503  +00 47 01.16  23.4g 13TZ171   W84  C~4yR8      
2016 10  27.17887  02 21 47.50   +00 47 01.0   23.9g 13TZ171   W84  C~3clO      
2016 11  11.18701  02 20 31.06   +00 40 20.4   22.0z 13TZ171   W84  C~3clO      
2016 12  06.10131  02 18 38.823  +00 33 39.14  22.5z 13TZ171   W84  C~4yR8      
2016 12  06.10131  02 18 38.82   +00 33 39.1   22.6z 13TZ171   W84  C~3clO      
2016 12  07.08806  02 18 35.078  +00 33 31.22  22.6i 13TZ171   W84  C~4yR8      
2016 12  07.08806  02 18 35.08   +00 33 31.2   22.5i 13TZ171   W84  C~3clO      
2016 12  23.05388  02 17 45.056  +00 32 53.98  22.7r 13TZ171   W84  C~4yR8      
2016 12  23.05388  02 17 45.06   +00 32 54.0   22.9r 13TZ171   W84  C~3clO      
2016 12  23.05524  02 17 45.052  +00 32 53.95  23.5g 13TZ171   W84  C~4yR8      
2016 12  23.05524  02 17 45.05   +00 32 53.9   23.5g 13TZ171   W84  C~3clO      
2018 10  21.25195  02 36 37.932  +01 24 48.32  22.5z 13TZ171   W84  C~4yR8      
2018 11  16.12781  02 34 25.629  +01 13 10.35  22.5i 13TZ171   W84  C~4yR8      
2018 12  01.16973  02 33 14.146  +01 08 56.01  23.2r 13TZ171   W84  C~4yR8      
2018 12  01.17110  02 33 14.147  +01 08 55.91  23.8g 13TZ171   W84  C~4yR8      

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     0.03       0.00    -0.05
     2   0.0625      0.00    -0.05       0.00     0.01
     3   0.0625      0.00    -0.07       0.00    -0.04
     4   0.0843      0.00     0.03       0.00    -0.03
     5   0.0845      0.00     0.01       0.00     0.03
     6   0.0847      0.00    -0.05       0.00     0.10
     7   0.1091      0.00    -0.06       0.00     0.07
     8   0.1091      0.00     0.14       0.00     0.05
     9   0.1585      0.00     0.14       0.00    -0.02
    10   0.1585      0.00     0.07       0.00     0.01
    11   0.1585      0.00    -0.07       0.00    -0.10
    12   0.1585      0.00    -0.09       0.00    -0.04
    13   0.2104      0.00     0.03       0.00    -0.06
    14   0.2104      0.00     0.03       0.00    -0.05
    15   0.2104      0.00    -0.06       0.00    -0.22
    16   1.0459      0.00    -0.07       0.00     0.02
    17   1.0459      0.00    -0.07       0.00     0.03
    18   1.0677      0.00     0.11       0.00     0.01
    19   1.0677      0.00     0.06       0.00    -0.02
    20   1.0677      0.00     0.06       0.00     0.05
    21   1.1987      0.00    -0.03       0.00     0.01
    22   1.1987      0.00    -0.00       0.00     0.06
    23   1.2834      0.00     0.00       0.00     0.06
    24   2.1678      0.00     0.03       0.00    -0.00
    25   2.1678      0.00     0.10       0.00     0.01
    26   2.1678      0.00    -0.04       0.00    -0.09
    27   2.1678      0.00     0.02       0.00    -0.05
    28   2.2008      0.00    -0.05       0.00     0.05
    29   2.2008      0.00    -0.01       0.00     0.04
    30   2.2663      0.00    -0.08       0.00     0.09
    31   3.0633      0.00    -0.00       0.00     0.05
    32   3.0633      0.00     0.01       0.00     0.12
    33   3.0634      0.00     0.12       0.00    -0.04
    34   3.0634      0.00     0.08       0.00    -0.05
    35   3.0634      0.00    -0.07       0.00     0.10
    36   3.0634      0.00    -0.03       0.00     0.26
    37   3.1044      0.00    -0.00       0.00    -0.04
    38   3.1727      0.00     0.00       0.00     0.02
    39   3.1727      0.00     0.05       0.00     0.06
    40   3.1754      0.00    -0.02       0.00     0.05
    41   3.1754      0.00    -0.05       0.00     0.07
    42   3.2191      0.00     0.04       0.00     0.02
    43   3.2191      0.00    -0.02       0.00    -0.00
    44   3.2191      0.00    -0.06       0.00    -0.09
    45   3.2191      0.00    -0.03       0.00    -0.04
    46   5.0458      0.00    -0.27       0.00    -0.30
    47   5.1166      0.00     0.22       0.00     0.01
    48   5.1578      0.00     0.02       0.00     0.03
    49   5.1578      0.00     0.13       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.

13TZ171    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        45.822    45.821    45.822
ecceobj         0.200     0.200     0.200
incobj         15.857    15.857    15.857
qmin           35.682    35.776    35.684
qmax           55.586    55.491    55.556
amean          45.420    45.418    45.420
amin           45.016    45.019    45.022
amax           45.883    45.875    45.883
emean           0.194     0.193     0.194
emin            0.178     0.177     0.177
emax            0.212     0.210     0.212
imean          15.510    15.510    15.509
imin           14.776    14.777    14.775
imax           16.192    16.188    16.185
excite_mean     0.330     0.330     0.330
fracstop        1.000     1.000     1.000
cjmean          2.985     2.985     2.985

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     182.1     181.8
kozaiamp        180.0     180.0     180.0