Orbit Fit and Astrometric record for 13RT128

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: 13RT128   
# Created Tue Dec  7 02:11:54 2021
# Orbit generated from Bernstein formalism
# Fitting     35 observations of     35
# Arc:   4.02y
# First observation: 2013/09/10
#  Last observation: 2017/09/18
Preliminary a, adot, b, bdot, g, gdot:
  -0.000021   0.020952   0.000001   0.008515   0.024078   0.000000
# Chi-squared of fit:    13.33 DOF:     64 RMS:  0.11
# Min/Max residuals:    -0.35    0.33
# Exact a, adot, b, bdot, g, gdot:
  1.367328E-05  2.110746E-02  5.704141E-06  8.590625E-03  2.423573E-02  2.397120E-03
# Covariance matrix:
  1.3580E-13  4.6979E-14 -5.4377E-15  3.1239E-14  1.8018E-13  9.9558E-13
  4.6979E-14  3.6629E-13 -2.6217E-14  1.4867E-13  5.3023E-13  4.6861E-12
 -5.4377E-15 -2.6217E-14  9.8814E-14 -3.9727E-14 -3.8977E-14 -3.4987E-13
  3.1239E-14  1.4867E-13 -3.9727E-14  7.7975E-14  2.2221E-13  1.9839E-12
  1.8018E-13  5.3023E-13 -3.8977E-14  2.2221E-13  9.9288E-13  7.0357E-12
  9.9558E-13  4.6861E-12 -3.4987E-13  1.9839E-12  7.0357E-12  6.2524E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -10.472034    9.496900    0.378159   -0.169686   -0.918596  2456545.830848
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:          110.06333 +/-     0.074
Argument of Peri:      213.33389 +/-     0.073
Long of Asc Node:       32.73752 +/-     0.000
Inclination:            24.15262 +/-     0.000
Eccentricity:         0.10582184 +/-    0.0003
Semi-Major Axis:     40.34065913 +/-    0.0029
Time of Perihelion: 2427928.1818 +/-      19.0
Perihelion:          36.07173638 +/-    0.0123
Aphelion:            44.60958189 +/-    0.0125
Period (y)              256.2257 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           41.00142751 +/-    0.0016
Ecliptic Y            6.47868306 +/-    0.0003
Ecliptic Z           -7.49927994 +/-    0.0003
Ecliptic XDOT         0.00003701 +/-    0.0000
Ecliptic YDOT         0.00242366 +/-    0.0000
Ecliptic ZDOT         0.00090522 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.18210037 +/-    0.0016
Geocenter to KBO     41.26139110 +/-    0.0017
# Hcoef:  7.29

The following table shows the complete astrometric record for 13RT128. 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 (13RT128) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.33007  00 51 22.889  -05 52 01.22  24.0g 13RT128   W84  C~4yQt      
2013 09  10.330076 00 51 22.891  -05 52 01.19  24.0g 13RT128   W84  C~3wor      
2013 09  10.33147  00 51 22.871  -05 52 01.08  23.5r 13RT128   W84  C~4yQt      
2013 09  10.332853 00 51 22.884  -05 52 01.30  23.2i 13RT128   W84  C~3wor      
2013 09  10.33286  00 51 22.881  -05 52 01.29  23.9i 13RT128   W84  C~4yQt      
2013 09  11.26224  00 51 19.018  -05 52 26.59  24.1g 13RT128   W84  C~4yQt      
2013 09  29.216557 00 49 58.714  -06 00 24.98  23.9g 13RT128   W84  C~3wor      
2013 09  29.21656  00 49 58.714  -06 00 24.95  23.8g 13RT128   W84  C~4yQt      
2013 09  29.217946 00 49 58.712  -06 00 24.96  23.4r 13RT128   W84  C~3wor      
2013 09  29.21795  00 49 58.712  -06 00 24.95  23.4r 13RT128   W84  C~4yQt      
2013 09  29.219323 00 49 58.700  -06 00 25.07  23.2i 13RT128   W84  C~3wor      
2013 09  29.21933  00 49 58.703  -06 00 25.08  23.1i 13RT128   W84  C~4yQt      
2013 10  02.266383 00 49 44.433  -06 01 41.21  23.4r 13RT128   W84  C~3wor      
2013 11  08.08722  00 47 00.508  -06 12 35.75  23.0z 13RT128   W84  C~4yQt      
2014 10  03.30184  00 53 21.781  -05 06 19.36  23.3r 13RT128   W84  C~4yQt      
2014 10  03.30321  00 53 21.770  -05 06 19.53  22.8i 13RT128   W84  C~4yQt      
2015 12  05.08831  00 52 57.115  -04 23 29.94  23.2r 13RT128   W84  C~4yQt      
2015 12  05.088316 00 52 57.123  -04 23 29.90  23.6r 13RT128   W84  C~3wor      
2016 09  01.38668  01 02 51.368  -03 02 04.80  24.2g 13RT128   W84  C~4yQt      
2016 10  29.231569 00 58 36.924  -03 24 45.05  23.2i 13RT128   W84  C~3wor      
2016 10  29.23157  00 58 36.926  -03 24 45.06  23.4i 13RT128   W84  C~4yQt      
2016 11  06.20939  00 58 03.370  -03 26 40.18  23.0i 13RT128   W84  C~4yQt      
2016 11  06.209393 00 58 03.372  -03 26 40.15  23.2i 13RT128   W84  C~3wor      
2016 11  06.210770 00 58 03.365  -03 26 40.19  23.6r 13RT128   W84  C~3wor      
2016 11  06.21077  00 58 03.362  -03 26 40.15  24.0r 13RT128   W84  C~4yQt      
2016 11  07.203444 00 57 59.363  -03 26 52.40  23.8g 13RT128   W84  C~3wor      
2016 11  07.20345  00 57 59.366  -03 26 52.36  24.7g 13RT128   W84  C~4yQt      
2017 08  28.36267  01 06 40.694  -02 05 28.74  23.9r 13RT128   W84  C~4yQt      
2017 08  28.362680 01 06 40.693  -02 05 28.75  23.7r 13RT128   W84  C~3wor      
2017 08  28.36404  01 06 40.663  -02 05 28.80  23.1i 13RT128   W84  C~4yQt      
2017 08  28.364045 01 06 40.681  -02 05 28.76  23.5i 13RT128   W84  C~3wor      
2017 08  28.36542  01 06 40.679  -02 05 28.81  24.0g 13RT128   W84  C~4yQt      
2017 08  28.365423 01 06 40.680  -02 05 28.78  24.2g 13RT128   W84  C~3wor      
2017 09  14.31264  01 05 37.644  -02 12 28.26  23.4z 13RT128   W84  C~4yQt      
2017 09  18.35085  01 05 20.659  -02 14 11.86  23.0r 13RT128   W84  C~4yQt      

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     0.02       0.00    -0.02
     2   0.0000      0.04     0.06       0.02    -0.00
     3   0.0000     -0.19    -0.08       0.23     0.21
     4   0.0000     -0.10     0.11      -0.04    -0.06
     5   0.0000     -0.14     0.07      -0.02    -0.04
     6   0.0026    -63.08     0.32      -0.53     0.04
     7   0.0517  -1352.76    -0.08      31.94     0.03
     8   0.0517  -1352.75    -0.07      31.97     0.06
     9   0.0517  -1352.78     0.01      31.97     0.06
    10   0.0517  -1352.78     0.01      31.98     0.07
    11   0.0517  -1352.99    -0.10      31.94     0.02
    12   0.0517  -1352.95    -0.06      31.92    -0.01
    13   0.0601  -1578.62     0.03      45.76    -0.14
    14   0.1609  -4084.45     0.03     405.13    -0.15
    15   1.0622   2713.67    -0.13    1818.49    -0.06
    16   1.0622   2713.45    -0.25    1818.40    -0.16
    17   2.2334   3390.50    -0.19    4325.52     0.09
    18   2.2334   3390.63    -0.06    4325.50     0.08
    19   2.9762  13515.49     0.08    5289.37     0.09
    20   3.1346   9464.27     0.02    5552.94     0.10
    21   3.1346   9464.29     0.05    5552.92     0.08
    22   3.1564   8956.27     0.11    5646.39    -0.07
    23   3.1564   8956.31     0.15    5646.41    -0.06
    24   3.1564   8956.17     0.09    5646.47    -0.02
    25   3.1564   8956.19     0.12    5646.41    -0.07
    26   3.1591   8896.22    -0.09    5658.95    -0.03
    27   3.1591   8896.27    -0.03    5658.97    -0.01
    28   3.9645  18050.85     0.02    7047.48    -0.08
    29   3.9645  18050.83     0.01    7047.48    -0.09
    30   3.9645  18050.40    -0.35    7047.61     0.05
    31   3.9645  18050.66    -0.09    7047.54    -0.02
    32   3.9645  18050.61    -0.06    7047.51    -0.05
    33   3.9645  18050.64    -0.03    7047.53    -0.03
    34   4.0109  17008.78     0.03    7037.82     0.11
    35   4.0220  16732.01     0.33    7043.86     0.08

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.

13RT128    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.537    40.546    40.528
ecceobj         0.105     0.105     0.105
incobj         24.111    24.111    24.111
qmin           35.175    35.205    35.143
qmax           45.788    45.792    45.796
amean          40.363    40.371    40.350
amin           40.038    40.030    40.022
amax           40.710    40.715    40.707
emean           0.109     0.109     0.109
emin            0.095     0.093     0.094
emax            0.126     0.125     0.125
imean          23.331    23.332    23.330
imin           22.718    22.694    22.717
imax           23.915    23.914    23.926
excite_mean     0.411     0.411     0.411
fracstop        1.000     1.000     1.000
cjmean          2.859     2.859     2.859

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       180.6     180.2     181.0
kozaiamp        179.9     180.0     179.9