Orbit Fit and Astrometric record for 13RT109

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: 13RT109   
# Created Mon Dec  6 02:11:47 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     21 observations of     21
# Arc:  14.30y
# First observation: 2007/06/17
#  Last observation: 2021/10/03
# Chi-squared of fit:    17.79 DOF:     36 RMS:  0.16
# Min/Max residuals:    -0.34    0.38
# Exact a, adot, b, bdot, g, gdot:
  1.722095E-05  3.132942E-02  6.143290E-06  8.160606E-03  2.814530E-02 -3.657353E-04
# Covariance matrix:
  6.3640E-13 -2.2327E-13  1.3610E-13 -4.6421E-14 -2.9771E-13 -3.3728E-13
 -2.2327E-13  1.1052E-13 -6.8479E-14  2.2858E-14  2.1023E-13  1.6808E-13
  1.3610E-13 -6.8479E-14  2.5963E-13 -3.9459E-14 -1.1957E-13 -1.1179E-13
 -4.6421E-14  2.2858E-14 -3.9459E-14  9.1127E-15  3.8036E-14  3.7775E-14
 -2.9771E-13  2.1023E-13 -1.1957E-13  3.8036E-14  5.9457E-13  2.8740E-13
 -3.3728E-13  1.6808E-13 -1.1179E-13  3.7775E-14  2.8740E-13  2.7589E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
    9.049894  -34.713798    0.870328    0.081044   -0.508519  2454268.999308
# Heliocentric elements and errors
Epoch:              2454268.5000  =  2007/06/17
Mean Anomaly:          353.01942 +/-     0.003
Argument of Peri:       42.52117 +/-     0.004
Long of Asc Node:      293.47327 +/-     0.000
Inclination:            17.22629 +/-     0.000
Eccentricity:         0.21176581 +/-    0.0001
Semi-Major Axis:     45.59028474 +/-    0.0058
Time of Perihelion: 2456448.6966 +/-      21.1
Perihelion:          35.93582106 +/-    0.0059
Aphelion:            55.24474843 +/-    0.0079
Period (y)              307.8341 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           28.76884075 +/-    0.0008
Ecliptic Y          -20.99440438 +/-    0.0005
Ecliptic Z            5.58891721 +/-    0.0002
Ecliptic XDOT         0.00161017 +/-    0.0000
Ecliptic YDOT         0.00259374 +/-    0.0000
Ecliptic ZDOT         0.00077826 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.05064154 +/-    0.0007
Geocenter to KBO     35.52993475 +/-    0.0010
# Hcoef:  7.36

The following table shows the complete astrometric record for 13RT109. 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 (13RT109) followed by the observatory code and reference code for the source of the astrometry.

2007 06  17.498554 21 38 05.43   -04 33 12.7         13RT109   568  C~4qL5      
2007 06  17.507634 21 38 05.40   -04 33 12.6         13RT109   568  C~4qL5      
2010 06  09.573950 21 56 51.52   -01 28 25.6         13RT109   568  C~4qL5      
2010 06  09.577979 21 56 51.52   -01 28 25.7         13RT109   568  C~4qL5      
2010 06  10.552669 21 56 50.31   -01 28 10.2         13RT109   568  C~4qL5      
2010 06  10.556695 21 56 50.30   -01 28 10.0         13RT109   568  C~4qL5      
2010 06  10.560733 21 56 50.30   -01 28 10.2         13RT109   568  C~4qL5      
2012 08  25.459715 22 04 19.89   +00 29 34.9         13RT109   568  C~4qL5      
2012 08  25.479935 22 04 19.77   +00 29 34.4         13RT109   568  C~4qL5      
2012 08  25.505557 22 04 19.63   +00 29 33.8         13RT109   568  C~4qL5      
2013 09  10.060012 22 09 17.52   +01 26 01.4   23.3g 13RT109   W84  C~39od      
2013 09  13.131539 22 09 02.44   +01 24 29.8   22.8i 13RT109   W84  C~39od      
2013 09  13.145428 22 09 02.39   +01 24 29.6   22.7z 13RT109   W84  C~39od      
2013 09  29.146690 22 07 50.98   +01 16 20.3   22.8r 13RT109   W84  C~39od      
2013 09  29.148079 22 07 50.97   +01 16 20.3   22.8i 13RT109   W84  C~39od      
2013 10  10.084456 22 07 11.42   +01 10 50.6   23.2r 13RT109   W84  C~39od      
2013 10  12.021979 22 07 05.39   +01 09 54.6   22.4z 13RT109   W84  C~39od      
2013 10  13.012836 22 07 02.42   +01 09 25.9   22.4z 13RT109   W84  C~39od      
2021 10  03.117450 22 57 55.801  +09 32 54.27  23.0G 13RT109   G37  C~55NZ      
2021 10  03.170730 22 57 55.561  +09 32 52.44        13RT109   G37  C~55NZ      
2021 10  03.223740 22 57 55.315  +09 32 50.49        13RT109   G37  C~55NZ      

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     0.18       0.00    -0.28
     2   0.0000      0.00     0.07       0.00    -0.24
     3   2.9790      0.00    -0.15       0.00     0.12
     4   2.9790      0.00    -0.07       0.00    -0.04
     5   2.9817      0.00    -0.05       0.00     0.24
     6   2.9817      0.00    -0.11       0.00     0.38
     7   2.9817      0.00    -0.03       0.00     0.12
     8   5.1909      0.00     0.05       0.00     0.20
     9   5.1909      0.00    -0.13       0.00     0.21
    10   5.1910      0.00    -0.19       0.00     0.25
    11   6.2329      0.00     0.13       0.00     0.14
    12   6.2413      0.00    -0.09       0.00    -0.28
    13   6.2413      0.00     0.19       0.00    -0.07
    14   6.2851      0.00     0.02       0.00    -0.26
    15   6.2851      0.00    -0.05       0.00    -0.22
    16   6.3151      0.00     0.09       0.00    -0.34
    17   6.3204      0.00     0.11       0.00     0.09
    18   6.3231      0.00     0.03       0.00    -0.07
    19  14.2960      0.00    -0.05       0.00    -0.02
    20  14.2962      0.00     0.03       0.00     0.05
    21  14.2963      0.00    -0.00       0.00    -0.00

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.

13RT109    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        45.630    45.630    45.630
ecceobj         0.213     0.213     0.213
incobj         17.262    17.262    17.262
qmin           34.833    34.903    34.850
qmax           56.681    56.644    56.745
amean          45.488    45.490    45.482
amin           45.056    45.018    45.047
amax           46.005    46.015    46.010
emean           0.213     0.211     0.212
emin            0.193     0.191     0.192
emax            0.233     0.232     0.233
imean          18.708    18.785    18.747
imin           17.948    18.008    17.965
imax           19.373    19.458    19.411
excite_mean     0.385     0.385     0.385
fracstop        1.000     1.000     1.000
cjmean          2.937     2.937     2.937

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       182.4     183.5     179.2
kozaiamp        180.0     180.0     180.0