Orbit Fit and Astrometric record for 13TL227

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: 13TL227   
# Created Sat Dec  4 02:12:09 2021
# Orbit generated from Bernstein formalism
# Fitting      8 observations of      8
# Arc:   4.22y
# First observation: 2013/10/02
#  Last observation: 2017/12/23
Preliminary a, adot, b, bdot, g, gdot:
  -0.000030   0.028174  -0.000001   0.005690   0.027080   0.000000
# Chi-squared of fit:     1.51 DOF:     10 RMS:  0.08
# Min/Max residuals:    -0.12    0.18
# Exact a, adot, b, bdot, g, gdot:
  1.668580E-05  2.818281E-02  3.344049E-06  5.697381E-03  2.718311E-02 -2.045843E-04
# Covariance matrix:
  5.0744E-13 -3.8990E-13  1.9951E-14 -9.3576E-14  1.7399E-13 -4.0123E-12
 -3.8990E-13  1.4368E-12 -1.0269E-13  4.0150E-13  1.5052E-13  1.7511E-11
  1.9951E-14 -1.0269E-13  4.2802E-13 -1.5824E-13 -9.7418E-15 -1.3198E-12
 -9.3576E-14  4.0150E-13 -1.5824E-13  1.9455E-13 -4.7312E-14  5.4378E-12
  1.7399E-13  1.5052E-13 -9.7418E-15 -4.7312E-14  1.1292E-12 -1.6857E-12
 -4.0123E-12  1.7511E-11 -1.3198E-12  5.4378E-12 -1.6857E-12  2.3593E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
  -20.573753   36.143505    0.458149   -0.312636   -0.833232  2456567.776528
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:          345.33390 +/-     0.403
Argument of Peri:      314.70040 +/-     0.468
Long of Asc Node:       95.60062 +/-     0.001
Inclination:            22.86142 +/-     0.000
Eccentricity:         0.07067157 +/-    0.0001
Semi-Major Axis:     40.37206062 +/-    0.0074
Time of Perihelion: 2460377.5847 +/-     105.0
Perihelion:          37.51890381 +/-    0.0083
Aphelion:            43.22521744 +/-    0.0092
Period (y)              256.5249 +/-      0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           28.80091731 +/-    0.0011
Ecliptic Y           20.47168453 +/-    0.0008
Ecliptic Z          -12.92753397 +/-    0.0005
Ecliptic XDOT        -0.00153310 +/-    0.0000
Ecliptic YDOT         0.00239845 +/-    0.0000
Ecliptic ZDOT         0.00054462 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.62584005 +/-    0.0010
Geocenter to KBO     36.78755258 +/-    0.0014
# Hcoef:  8.30

The following table shows the complete astrometric record for 13TL227. 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 (13TL227) followed by the observatory code and reference code for the source of the astrometry.

2013 10  02.27575  02 42 07.285  -05 53 54.41  23.7r 13TL227   W84  C~52Rd      
2013 10  04.28641  02 41 58.676  -05 55 01.94  24.0r 13TL227   W84  C~52Rd      
2013 12  01.22254  02 37 09.022  -06 13 34.11  24.1r 13TL227   W84  C~52Rd      
2014 09  04.36402  02 49 17.314  -04 47 45.59  23.6r 13TL227   W84  C~52Rd      
2016 11  10.28539  02 56 02.045  -03 40 44.54  24.1r 13TL227   W84  C~52Rd      
2016 12  01.21458  02 54 14.650  -03 44 05.77  24.0r 13TL227   W84  C~52Rd      
2016 12  05.19893  02 53 55.892  -03 44 08.92  24.3r 13TL227   W84  C~52Rd      
2017 12  23.16148  02 58 22.980  -02 52 06.22  24.3r 13TL227   W84  C~52Rd      

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    -0.06       0.00    -0.01
     2   0.0055   -143.37     0.10     -22.44     0.07
     3   0.1641  -4592.64    -0.01     315.04     0.01
     4   0.9229   7365.65    -0.08    1671.88    -0.12
     5   3.1075  14422.99     0.18    3499.30     0.06
     6   3.1648  12831.19     0.00    3835.44    -0.05
     7   3.1757  12563.82    -0.07    3924.34     0.07
     8   4.2242  17393.89    -0.07    5573.89    -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.

13TL227    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.582    40.606    40.557
ecceobj         0.074     0.075     0.074
incobj         22.875    22.875    22.875
qmin           36.823    36.858    36.763
qmax           43.989    44.049    43.895
amean          40.280    40.309    40.242
amin           39.963    39.997    39.902
amax           40.602    40.633    40.591
emean           0.069     0.069     0.067
emin            0.056     0.057     0.053
emax            0.084     0.084     0.083
imean          21.127    21.128    21.120
imin           20.481    20.499    20.454
imax           21.743    21.738    21.771
excite_mean     0.367     0.367     0.367
fracstop        1.000     1.000     1.000
cjmean          2.900     2.900     2.900

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       179.9     181.9     176.5
kozaiamp        180.0     180.0     180.0