Orbit Fit and Astrometric record for 13TL187

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: 13TL187   
# Created Mon Dec  6 02:12:04 2021
# Orbit generated from Bernstein formalism
# Fitting     22 observations of     22
# Arc:   3.09y
# First observation: 2013/10/04
#  Last observation: 2016/11/06
Preliminary a, adot, b, bdot, g, gdot:
   0.000051   0.038493  -0.000029   0.012684   0.032957   0.000000
# Chi-squared of fit:     5.93 DOF:     38 RMS:  0.09
# Min/Max residuals:    -0.25    0.18
# Exact a, adot, b, bdot, g, gdot:
  1.886452E-05  3.850678E-02  6.075234E-06  1.267768E-02  3.293468E-02 -4.638057E-04
# Covariance matrix:
  2.5431E-13 -5.4910E-14 -5.8369E-15  1.0927E-14  2.2168E-13  2.5539E-13
 -5.4910E-14  7.8235E-13 -7.7820E-14  2.7360E-13  5.1166E-13  6.6451E-12
 -5.8369E-15 -7.7820E-14  1.6508E-13 -8.8367E-14 -6.5640E-14 -7.0774E-13
  1.0927E-14  2.7360E-13 -8.8367E-14  1.4073E-13  2.0929E-13  2.4670E-12
  2.2168E-13  5.1166E-13 -6.5640E-14  2.0929E-13  8.4217E-13  5.0607E-12
  2.5539E-13  6.6451E-12 -7.0774E-13  2.4670E-12  5.0607E-12  5.9895E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -5.043680   10.581089   -0.003018   -0.087842   -0.996490  2456569.656728
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:          357.27982 +/-     0.042
Argument of Peri:      348.86384 +/-     0.064
Long of Asc Node:       25.08970 +/-     0.000
Inclination:            18.84190 +/-     0.000
Eccentricity:         0.20395606 +/-    0.0001
Semi-Major Axis:     39.37704854 +/-    0.0048
Time of Perihelion: 2457242.4595 +/-      10.4
Perihelion:          31.34586076 +/-    0.0050
Aphelion:            47.40823631 +/-    0.0067
Period (y)              247.1001 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           30.71353047 +/-    0.0008
Ecliptic Y            5.74356448 +/-    0.0001
Ecliptic Z           -2.66922068 +/-    0.0001
Ecliptic XDOT        -0.00054064 +/-    0.0000
Ecliptic YDOT         0.00315522 +/-    0.0000
Ecliptic ZDOT         0.00105334 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.35975488 +/-    0.0008
Geocenter to KBO     30.36313183 +/-    0.0008
# Hcoef:  8.64

The following table shows the complete astrometric record for 13TL187. 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 (13TL187) followed by the observatory code and reference code for the source of the astrometry.

2013 10  04.15595  00 46 48.165  -00 27 09.68  24.4g 13TL187   W84  C~4yRD      
2013 10  13.21291  00 45 53.714  -00 31 36.04  23.3i 13TL187   W84  C~4yRD      
2013 10  13.21291  00 45 53.72   -00 31 36.0   23.4i 13TL187   W84  C~3clQ      
2013 11  08.18987  00 43 31.070  -00 41 31.82  23.1r 13TL187   W84  C~4yRD      
2013 11  08.18987  00 43 31.07   -00 41 31.8   23.2r 13TL187   W84  C~3clQ      
2013 11  08.19126  00 43 31.070  -00 41 31.81  23.5i 13TL187   W84  C~4yRD      
2013 11  23.14833  00 42 28.840  -00 44 21.10  23.4i 13TL187   W84  C~4yRD      
2013 11  23.14833  00 42 28.84   -00 44 21.1   23.6i 13TL187   W84  C~3clQ      
2014 10  29.21054  00 51 21.085  +00 53 19.12  23.2r 13TL187   W84  C~4yRD      
2014 10  29.21054  00 51 21.09   +00 53 19.1   23.2r 13TL187   W84  C~3clQ      
2014 10  29.21190  00 51 21.067  +00 53 18.98  22.8i 13TL187   W84  C~4yRD      
2014 11  14.13269  00 50 00.718  +00 48 13.26  23.9r 13TL187   W84  C~4yRD      
2014 11  14.13269  00 50 00.72   +00 48 13.2   24.0r 13TL187   W84  C~3clQ      
2016 08  26.37683  01 11 06.073  +04 25 05.25  22.8i 13TL187   W84  C~4yRD      
2016 09  01.36191  01 10 41.424  +04 22 56.89  23.2r 13TL187   W84  C~4yRD      
2016 09  01.36191  01 10 41.42   +04 22 56.9   23.2r 13TL187   W84  C~3clQ      
2016 09  01.36329  01 10 41.405  +04 22 56.45  24.5g 13TL187   W84  C~4yRD      
2016 11  05.16171  01 04 36.531  +03 53 22.90  23.8r 13TL187   W84  C~4yRD      
2016 11  05.16171  01 04 36.53   +03 53 22.9   23.9r 13TL187   W84  C~3clQ      
2016 11  05.16308  01 04 36.516  +03 53 22.83  23.0i 13TL187   W84  C~4yRD      
2016 11  05.16446  01 04 36.513  +03 53 22.97  24.4g 13TL187   W84  C~4yRD      
2016 11  06.16827  01 04 31.157  +03 53 00.35  24.2r 13TL187   W84  C~4yRD      

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     0.00
     2   0.0248   -855.87     0.08      74.20    -0.02
     3   0.0248   -855.77     0.18      74.20    -0.02
     4   0.0959  -3058.26    -0.09     362.32    -0.04
     5   0.0959  -3058.27    -0.10     362.31    -0.05
     6   0.0959  -3058.26     0.00     362.32    -0.06
     7   0.1369  -3983.83     0.01     571.37     0.14
     8   0.1369  -3983.83     0.01     571.37     0.14
     9   1.0679   5657.76     0.10    2844.44     0.01
    10   1.0679   5657.70     0.04    2844.49     0.06
    11   1.0679   5657.40    -0.15    2844.46     0.02
    12   1.1115   4427.86     0.01    3034.05    -0.12
    13   1.1115   4427.86     0.00    3034.12    -0.06
    14   2.8945  27124.64     0.01    7671.80    -0.10
    15   2.9109  26728.21     0.11    7695.69     0.06
    16   2.9109  26728.16     0.06    7695.73     0.09
    17   2.9109  26727.77    -0.23    7695.39    -0.25
    18   3.0883  20928.78     0.05    8172.03     0.03
    19   3.0883  20928.80     0.06    8172.03     0.03
    20   3.0883  20928.56    -0.06    8172.05     0.04
    21   3.0883  20928.57     0.07    8172.20     0.17
    22   3.0911  20845.04    -0.07    8182.43    -0.04

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.

13TL187    quality flag:3

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

axisobj        39.591    39.604    39.578
ecceobj         0.208     0.209     0.208
incobj         18.810    18.810    18.811
qmin           30.759    30.779    30.708
qmax           48.765    48.859    49.016
amean          39.456    39.456    39.456
amin           38.947    38.945    38.925
amax           40.024    40.021    40.061
emean           0.203     0.202     0.206
emin            0.186     0.183     0.190
emax            0.221     0.221     0.224
imean          18.358    18.414    18.189
imin           17.974    18.012    17.756
imax           18.841    18.770    18.769
excite_mean     0.375     0.375     0.374
fracstop        1.000     1.000     1.000
cjmean          2.891     2.890     2.891

libcent 0       179.6     179.4     178.7
libamp  0       123.5     121.1     124.9
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       195.4     217.7     187.2
kozaiamp        180.0     180.0     180.0