Orbit Fit and Astrometric record for 13RT156

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: 13RT156   
# Created Sat Dec  4 02:11:54 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     21 observations of     21
# Arc:   5.21y
# First observation: 2013/09/09
#  Last observation: 2018/11/26
# Chi-squared of fit:     6.71 DOF:     36 RMS:  0.10
# Min/Max residuals:    -0.21    0.17
# Exact a, adot, b, bdot, g, gdot:
  1.053043E-05  1.274884E-02 -4.827287E-06 -5.298967E-03  1.789122E-02 -4.869551E-03
# Covariance matrix:
  3.1664E-13 -8.6364E-14 -1.2651E-14  2.5509E-14  2.2856E-13 -1.0256E-12
 -8.6364E-14  2.0867E-13  4.1208E-14 -9.5881E-14  1.2041E-13  3.7516E-12
 -1.2651E-14  4.1208E-14  2.0912E-13 -7.1624E-14  1.5155E-14  8.3031E-13
  2.5509E-14 -9.5881E-14 -7.1624E-14  6.8375E-14 -4.4245E-14 -1.9207E-12
  2.2856E-13  1.2041E-13  1.5155E-14 -4.4245E-14  6.5175E-13  1.6682E-12
 -1.0256E-12  3.7516E-12  8.3031E-13 -1.9207E-12  1.6682E-12  7.5232E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -4.194293   -1.157289    0.217774   -0.071904   -0.981692  2456544.709488
# Heliocentric elements and errors
Epoch:              2456544.5000  =  2013/09/09
Mean Anomaly:          283.60333 +/-     0.092
Argument of Peri:      305.88896 +/-     0.038
Long of Asc Node:      168.83437 +/-     0.000
Inclination:            22.96582 +/-     0.001
Eccentricity:         0.34049282 +/-    0.0005
Semi-Major Axis:     54.98167612 +/-    0.0213
Time of Perihelion: 2488145.2455 +/-      78.1
Perihelion:          36.26080994 +/-    0.0309
Aphelion:            73.70254229 +/-    0.0397
Period (y)              407.6948 +/-      0.24
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           56.71169972 +/-    0.0025
Ecliptic Y           -1.36041100 +/-    0.0001
Ecliptic Z           -4.08825495 +/-    0.0002
Ecliptic XDOT        -0.00076910 +/-    0.0000
Ecliptic YDOT         0.00196558 +/-    0.0000
Ecliptic ZDOT        -0.00075408 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   56.87538361 +/-    0.0025
Geocenter to KBO     55.89361478 +/-    0.0025
# Hcoef:  6.21

The following table shows the complete astrometric record for 13RT156. 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 (13RT156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  09.20871  00 02 26.343  -04 18 28.40  24.2g 13RT156   W84  C~52RN      
2013 09  10.31452  00 02 22.725  -04 18 56.43  23.0r 13RT156   W84  C~52RN      
2013 09  29.22256  00 01 19.666  -04 26 50.07  23.6r 13RT156   W84  C~52RN      
2013 10  13.12737  00 00 34.358  -04 32 11.54  23.7i 13RT156   W84  C~52RN      
2013 10  13.12878  00 00 34.349  -04 32 11.53  23.0z 13RT156   W84  C~52RN      
2013 11  23.10292  23 58 57.394  -04 42 35.91  23.4i 13RT156   W84  C~52RN      
2014 10  01.27583  00 04 24.456  -04 26 51.37  23.3i 13RT156   W84  C~52RN      
2014 11  14.01786  00 02 21.484  -04 40 32.87  22.9z 13RT156   W84  C~52RN      
2016 09  22.09840  00 11 20.943  -04 21 41.06  23.5r 13RT156   W84  C~52RN      
2016 09  30.18001  00 10 53.418  -04 25 04.23  23.9r 13RT156   W84  C~52RN      
2016 09  30.18137  00 10 53.394  -04 25 04.25  23.9i 13RT156   W84  C~52RN      
2016 09  30.18274  00 10 53.405  -04 25 04.50  24.1g 13RT156   W84  C~52RN      
2016 11  26.12379  00 08 23.547  -04 41 06.44  23.6r 13RT156   W84  C~52RN      
2017 09  27.28723  00 14 20.547  -04 22 53.63  23.3r 13RT156   W84  C~52RN      
2017 09  27.28860  00 14 20.528  -04 22 53.80  23.1i 13RT156   W84  C~52RN      
2017 09  27.28997  00 14 20.528  -04 22 53.69  24.2g 13RT156   W84  C~52RN      
2017 10  29.15915  00 12 37.994  -04 34 37.24  23.4i 13RT156   W84  C~52RN      
2017 11  09.06841  00 12 09.865  -04 37 29.01  24.3g 13RT156   W84  C~52RN      
2018 10  18.17817  00 16 29.752  -04 30 04.39  23.8i 13RT156   W84  C~52RN      
2018 11  07.12755  00 15 32.287  -04 36 07.17  24.0r 13RT156   W84  C~52RN      
2018 11  26.08382  00 14 54.345  -04 39 29.78  24.5g 13RT156   W84  C~52RN      

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     0.09
     2   0.0030      0.00    -0.12       0.00     0.10
     3   0.0548      0.00     0.02       0.00     0.07
     4   0.0929      0.00     0.04       0.00    -0.05
     5   0.0929      0.00    -0.03       0.00    -0.01
     6   0.2050      0.00    -0.01       0.00    -0.05
     7   1.0597      0.00     0.12       0.00     0.04
     8   1.1795      0.00    -0.10       0.00    -0.21
     9   3.0360      0.00    -0.19       0.00    -0.01
    10   3.0581      0.00     0.17       0.00     0.02
    11   3.0581      0.00    -0.12       0.00     0.04
    12   3.0581      0.00     0.12       0.00    -0.18
    13   3.2140      0.00     0.12       0.00     0.04
    14   4.0495      0.00     0.09       0.00     0.08
    15   4.0495      0.00    -0.12       0.00    -0.05
    16   4.0495      0.00    -0.05       0.00     0.09
    17   4.1368      0.00    -0.13       0.00     0.09
    18   4.1666      0.00    -0.00       0.00    -0.09
    19   5.1060      0.00     0.03       0.00    -0.12
    20   5.1606      0.00     0.07       0.00    -0.04
    21   5.2125      0.00     0.07       0.00     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.

13RT156    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        55.265    55.265    55.265
ecceobj         0.338     0.338     0.338
incobj         22.873    22.873    22.873
qmin           35.549    35.549    35.549
qmax           75.210    75.245    75.230
amean          54.967    54.967    54.966
amin           54.388    54.374    54.361
amax           55.687    55.716    55.706
emean           0.334     0.334     0.334
emin            0.316     0.316     0.316
emax            0.351     0.351     0.351
imean          22.657    22.655    22.655
imin           22.016    22.016    22.016
imax           23.445    23.437    23.453
excite_mean     0.510     0.510     0.510
fracstop        1.000     1.000     1.000
cjmean          2.899     2.899     2.899

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       179.8     179.8     179.9
kozaiamp        179.9     179.9     180.0