Orbit Fit and Astrometric record for 13HW156

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: 13HW156   
# Created Thu Dec  9 02:11:35 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     31 observations of     31
# Arc:  20.23y
# First observation: 2001/04/16
#  Last observation: 2021/07/09
# Chi-squared of fit:    26.63 DOF:     56 RMS:  0.16
# Min/Max residuals:    -0.29    0.43
# Exact a, adot, b, bdot, g, gdot:
  1.966017E-05  4.143440E-02  1.577744E-06  2.807337E-03  3.341251E-02  4.174673E-03
# Covariance matrix:
  4.3420E-13 -6.3787E-14  1.2835E-14 -3.0112E-15  7.4320E-14 -5.4725E-14
 -6.3787E-14  1.2824E-14 -3.0882E-15  7.3366E-16 -1.1854E-14  1.2571E-14
  1.2835E-14 -3.0882E-15  2.2603E-13 -1.4831E-14 -1.5640E-16 -3.1081E-15
 -3.0112E-15  7.3366E-16 -1.4831E-14  1.2288E-15  6.5741E-16  6.9602E-16
  7.4320E-14 -1.1854E-14 -1.5640E-16  6.5741E-16  4.0930E-13 -3.9929E-14
 -5.4725E-14  1.2571E-14 -3.1081E-15  6.9602E-16 -3.9929E-14  1.5423E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
    9.464583 -167.286786   -0.239307    0.161084   -0.967231  2452015.703629
# Heliocentric elements and errors
Epoch:              2452016.5000  =  2001/04/17
Mean Anomaly:           19.94604 +/-    25.813
Argument of Peri:       34.48006 +/-     0.000
Long of Asc Node:      125.93029 +/-     0.000
Inclination:             9.92714 +/-     0.000
Eccentricity:         0.24325414 +/-    0.0003
Semi-Major Axis:     39.53046490 +/-    0.0056
Time of Perihelion: 2446986.7035 +/-    6509.4
Perihelion:          29.91451584 +/-    0.0112
Aphelion:            49.14641395 +/-    0.0125
Period (y)              248.5456 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -29.69769591 +/-    0.0010
Ecliptic Y           -6.94136756 +/-    0.0002
Ecliptic Z            4.92151698 +/-    0.0002
Ecliptic XDOT         0.00044657 +/-    0.0000
Ecliptic YDOT        -0.00337521 +/-    0.0000
Ecliptic ZDOT         0.00028335 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   30.89260552 +/-    0.0010
Geocenter to KBO     29.92888860 +/-    0.0011
# Hcoef:  7.32

The following table shows the complete astrometric record for 13HW156. 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 (13HW156) followed by the observatory code and reference code for the source of the astrometry.

2001 04  16.202886 13 01 29.85   +03 41 57.7   21.9V 13HW156   645  C~2e9a      
2001 04  16.203715 13 01 29.85   +03 41 57.8   21.8V 13HW156   645  C~2e9a      
2001 04  16.206203 13 01 29.83   +03 41 57.7   22.7V 13HW156   645  C~2e9a      
2006 05  25.183413 13 42 01.18   +00 08 06.1         13HW156   645  C~2e9a      
2006 05  25.184242 13 42 01.18   +00 08 06.1         13HW156   645  C~2e9a      
2006 05  25.186730 13 42 01.16   +00 08 06.1         13HW156   645  C~2e9a      
2010 05  11.35679  14 16 32.014  -02 50 20.77  22.5r 13HW156   F51  C~1w3u      
2011 01  11.62685  14 29 40.953  -04 22 06.25  22.8w 13HW156   F51  C~1w3u      
2011 04  30.39927  14 25 42.172  -03 36 59.12  22.8w 13HW156   F51  C~1w3u      
2011 04  30.41279  14 25 42.080  -03 36 58.89  23.2w 13HW156   F51  C~1w3u      
2011 04  30.44149  14 25 41.934  -03 36 57.90  23.2w 13HW156   F51  C~1w3u      
2012 05  18.36237  14 31 58.617  -04 10 24.69  22.9w 13HW156   F51  C~1w3u      
2012 05  18.37593  14 31 58.549  -04 10 24.36  22.6w 13HW156   F51  C~1w3u      
2012 05  18.38954  14 31 58.481  -04 10 24.20  22.5w 13HW156   F51  C~1w3u      
2012 05  18.40320  14 31 58.400  -04 10 23.76  22.6w 13HW156   F51  C~1w3u      
2013 04  17.50412  14 42 49.107  -05 04 09.36  22.2w 13HW156   F51  C~1w3u      
2013 04  17.53443  14 42 48.979  -05 04 08.01  22.2w 13HW156   F51  C~1w3u      
2013 05  10.38838  14 40 40.051  -04 53 36.43  22.4w 13HW156   F51  C~1w3u      
2013 05  10.40324  14 40 39.968  -04 53 36.08  22.6w 13HW156   F51  C~1w3u      
2013 05  10.41812  14 40 39.876  -04 53 35.80  22.7w 13HW156   F51  C~1w3u      
2013 05  10.43297  14 40 39.795  -04 53 35.14  22.8w 13HW156   F51  C~1w3u      
2018 05  20.164270 15 18 14.77   -07 57 50.7   22.5G 13HW156   705  C~2rA7      
2018 05  20.209830 15 18 14.49   -07 57 49.8   23.0G 13HW156   705  C~2rA7      
2018 05  20.243460 15 18 14.31   -07 57 49.2   22.9G 13HW156   705  C~2rA7      
2021 06  12.308950 15 38 14.707  -09 33 11.45  22.7w 13HW156   F51  C~4qK9      
2021 06  12.320082 15 38 14.679  -09 33 11.17  22.7w 13HW156   F51  C~4qK9      
2021 06  12.331238 15 38 14.596  -09 33 11.36  22.8w 13HW156   F51  C~4qK9      
2021 06  12.342356 15 38 14.559  -09 33 11.11  22.8w 13HW156   F51  C~4qK9      
2021 07  09.205380 15 36 23.953  -09 32 00.53  22.3G 13HW156   G37  C~4uuH      
2021 07  09.240070 15 36 23.860  -09 32 00.72        13HW156   G37  C~4uuH      
2021 07  09.272750 15 36 23.740  -09 32 00.69        13HW156   G37  C~4uuH      

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    -0.03       0.00    -0.04
     2   0.0000      0.00     0.04       0.00     0.03
     3   0.0000      0.00    -0.04       0.00    -0.15
     4   5.1060      0.00    -0.06       0.00    -0.18
     5   5.1060      0.00    -0.01       0.00    -0.19
     6   5.1060      0.00    -0.14       0.00    -0.23
     7   9.0682      0.00     0.06       0.00     0.06
     8   9.7397      0.00     0.09       0.00    -0.16
     9  10.0375      0.00     0.00       0.00     0.38
    10  10.0375      0.00    -0.19       0.00     0.22
    11  10.0376      0.00     0.13       0.00     0.40
    12  11.0887      0.00    -0.05       0.00    -0.02
    13  11.0888      0.00     0.05       0.00     0.04
    14  11.0888      0.00     0.15       0.00    -0.07
    15  11.0888      0.00     0.06       0.00     0.10
    16  12.0036      0.00    -0.18       0.00    -0.01
    17  12.0036      0.00     0.43       0.00     0.41
    18  12.0662      0.00    -0.01       0.00    -0.01
    19  12.0663      0.00     0.03       0.00    -0.01
    20  12.0663      0.00    -0.06       0.00    -0.08
    21  12.0663      0.00     0.00       0.00     0.22
    22  17.0923      0.00     0.15       0.00    -0.19
    23  17.0924      0.00    -0.17       0.00    -0.14
    24  17.0925      0.00     0.00       0.00    -0.17
    25  20.1563      0.00    -0.29       0.00     0.03
    26  20.1564      0.00     0.14       0.00     0.22
    27  20.1564      0.00    -0.25       0.00    -0.07
    28  20.1564      0.00     0.04       0.00     0.08
    29  20.2300      0.00    -0.02       0.00    -0.19
    30  20.2301      0.00     0.22       0.00    -0.25
    31  20.2302      0.00    -0.04       0.00    -0.10

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.

13HW156    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.373    39.373    39.372
ecceobj         0.240     0.240     0.240
incobj          9.933     9.933     9.933
qmin           29.144    29.174    29.084
qmax           50.445    50.440    50.553
amean          39.456    39.456    39.456
amin           38.897    38.930    38.909
amax           40.071    40.063    40.080
emean           0.243     0.233     0.246
emin            0.218     0.196     0.228
emax            0.261     0.260     0.263
imean           8.263     9.159     8.097
imin            7.556     7.557     7.383
imax            9.275    10.621     8.935
excite_mean     0.282     0.283     0.283
fracstop        1.000     1.000     1.000
cjmean          2.961     2.961     2.960

libcent 0       180.8     180.5     179.7
libamp  0       124.6     121.2     124.6
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       198.6     131.4     156.9
kozaiamp        151.6      73.7     180.0