Orbit Fit and Astrometric record for 13TS227

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: 13TS227   
# Created Fri Dec  3 02:12:07 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     11 observations of     11
# Arc:   5.16y
# First observation: 2013/10/03
#  Last observation: 2018/11/29
# Chi-squared of fit:    29.31 DOF:     16 RMS:  0.29
# Min/Max residuals:    -1.12    0.40
# Exact a, adot, b, bdot, g, gdot:
  1.468403E-05  2.482141E-02 -6.330551E-06 -1.007184E-02  2.821228E-02 -8.644455E-03
# Covariance matrix:
  4.2689E-13 -2.7284E-13 -4.2530E-14  8.5966E-14  8.3421E-14 -1.8472E-12
 -2.7284E-13  4.6773E-13  9.8056E-14 -1.9688E-13  8.9505E-14  4.1854E-12
 -4.2530E-14  9.8056E-14  3.6258E-13 -1.4279E-13  5.6100E-15  9.8234E-13
  8.5966E-14 -1.9688E-13 -1.4279E-13  1.3690E-13 -6.3096E-15 -1.9767E-12
  8.3421E-14  8.9505E-14  5.6100E-15 -6.3096E-15  1.0594E-12 -3.5536E-14
 -1.8472E-12  4.1854E-12  9.8234E-13 -1.9767E-12 -3.5536E-14  4.2173E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -10.646040   24.961378    0.259931   -0.178399   -0.949669  2456568.793368
# Heliocentric elements and errors
Epoch:              2456568.5000  =  2013/10/03
Mean Anomaly:          273.89755 +/-     0.038
Argument of Peri:      327.82490 +/-     0.019
Long of Asc Node:      180.68919 +/-     0.001
Inclination:            24.33012 +/-     0.000
Eccentricity:         0.32586081 +/-    0.0002
Semi-Major Axis:     33.70293095 +/-    0.0050
Time of Perihelion: 2473661.2901 +/-      14.1
Perihelion:          22.72046645 +/-    0.0072
Aphelion:            44.68539545 +/-    0.0092
Period (y)              195.6635 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           32.56656522 +/-    0.0012
Ecliptic Y           14.87582771 +/-    0.0005
Ecliptic Z           -6.54850653 +/-    0.0002
Ecliptic XDOT        -0.00193384 +/-    0.0000
Ecliptic YDOT         0.00175830 +/-    0.0000
Ecliptic ZDOT        -0.00080548 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.39735190 +/-    0.0011
Geocenter to KBO     35.44575560 +/-    0.0013
# Hcoef:  7.82

The following table shows the complete astrometric record for 13TS227. 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 (13TS227) followed by the observatory code and reference code for the source of the astrometry.

2013 10  03.29259  01 48 00.301  -00 15 32.58  24.5g 13TS227   W84  C~52Re      
2013 10  04.19163  01 47 55.889  -00 16 08.11  24.4g 13TS227   W84  C~52Re      
2013 10  27.13113  01 45 57.009  -00 30 11.48  24.3g 13TS227   W84  C~52Re      
2014 10  21.29028  01 52 40.285  -00 28 23.18  23.2r 13TS227   W84  C~52Re      
2014 10  23.27793  01 52 29.713  -00 29 33.46  23.2i 13TS227   W84  C~52Re      
2016 09  10.29669  02 08 30.001  -00 04 56.23  23.2r 13TS227   W84  C~52Re      
2016 09  10.39463  02 08 29.664  -00 05 00.20  22.8z 13TS227   W84  C~52Re      
2016 11  03.17687  02 04 09.863  -00 39 27.52  23.9r 13TS227   W84  C~52Re      
2016 11  05.23333  02 03 58.840  -00 40 29.85  23.0i 13TS227   W84  C~52Re      
2017 10  29.26209  02 11 09.021  -00 38 34.61  21.0r 13TS227   W84  C~52Re      
2018 11  29.18186  02 15 07.027  -00 53 26.49  23.4r 13TS227   W84  C~52Re      

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    -0.20       0.00     0.07
     2   0.0025      0.00     0.10       0.00    -0.05
     3   0.0653      0.00     0.03       0.00    -0.22
     4   1.0486      0.00     0.04       0.00     0.01
     5   1.0540      0.00     0.08       0.00     0.12
     6   2.9377      0.00    -0.02       0.00     0.23
     7   2.9380      0.00     0.04       0.00     0.18
     8   3.0852      0.00    -0.03       0.00     0.19
     9   3.0909      0.00     0.04       0.00     0.22
    10   4.0711      0.00    -0.14       0.00    -1.12
    11   5.1551      0.00     0.10       0.00     0.40

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.

13TS227    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        33.789    33.788    33.789
ecceobj         0.322     0.322     0.322
incobj         24.246    24.246    24.246
qmin           22.012    21.205    21.971
qmax           46.272    48.575    46.297
amean          33.829    34.098    34.242
amin           33.302    33.301    33.368
amax           34.440    35.299    35.123
emean           0.293     0.331     0.256
emin            0.156     0.238     0.186
emax            0.351     0.378     0.351
imean          25.106    22.747    26.199
imin           23.277    19.496    23.246
imax           28.818    26.252    27.875
excite_mean     0.520     0.511     0.513
fracstop        0.073     0.218     0.224
cjmean          2.729     2.738     2.736

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        99.6     175.7      99.4
kozaiamp        179.5     180.0     179.8