Orbit Fit and Astrometric record for 16SH57

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: 16SH57    
# Created Fri Nov 22 02:10:46 2024
# Orbit generated from Bernstein formalism
# Fitting     21 observations of     21
# Arc:   0.97y
# First observation: 2015/10/10
#  Last observation: 2016/09/29
Preliminary a, adot, b, bdot, g, gdot:
  -0.000002   0.028902  -0.000000   0.004266   0.026594   0.000000
# Chi-squared of fit:     1.35 DOF:     36 RMS:  0.04
# Min/Max residuals:    -0.10    0.10
# Exact a, adot, b, bdot, g, gdot:
  1.695778E-05  2.884366E-02  2.429649E-06  4.261005E-03  2.666568E-02 -2.758473E-03
# Covariance matrix:
  3.1314E-13  1.0582E-11  5.2077E-15  1.5803E-12  6.5693E-12  3.6954E-10
  1.0582E-11  3.5069E-09 -2.7688E-13  5.0357E-10  9.3243E-10  1.1270E-07
  5.2077E-15 -2.7688E-13  1.8535E-13 -2.2893E-13  1.6240E-13 -7.4161E-12
  1.5803E-12  5.0357E-10 -2.2893E-13  7.2647E-11  1.3520E-10  1.6193E-08
  6.5693E-12  9.3243E-10  1.6240E-13  1.3520E-10  3.9226E-10  3.0876E-08
  3.6954E-10  1.1270E-07 -7.4161E-12  1.6193E-08  3.0876E-08  3.6280E-06
#      lat0       lon0       xBary       yBary       zBary        JD0
  -15.718058   33.121069    0.283930   -0.260274   -0.925468  2457306.030273
# Heliocentric elements and errors
Epoch:              2457300.5000  =  2015/10/05
Mean Anomaly:          335.24065 +/-    10.991
Argument of Peri:      334.70158 +/-    18.224
Long of Asc Node:       93.73908 +/-     0.087
Inclination:            17.39466 +/-     0.014
Eccentricity:         0.19826314 +/-    0.0426
Semi-Major Axis:     46.34100933 +/-    0.7063
Time of Perihelion: 2465225.2098 +/-    3513.2
Perihelion:          37.15329525 +/-    2.0534
Aphelion:            55.52872342 +/-    2.1476
Period (y)              315.4688 +/-      7.21
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           31.18996428 +/-    0.0225
Ecliptic Y           20.01209789 +/-    0.0146
Ecliptic Z          -10.15919507 +/-    0.0075
Ecliptic XDOT        -0.00174889 +/-    0.0002
Ecliptic YDOT         0.00238953 +/-    0.0001
Ecliptic ZDOT         0.00049791 +/-    0.0001
# Distances at JD0 (AU)
Heliocenter to KBO   38.42534552 +/-    0.0199
Geocenter to KBO     37.50138200 +/-    0.0279
# Hcoef:  8.30

The following table shows the complete astrometric record for 16SH57. 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 (16SH57) followed by the observatory code and reference code for the source of the astrometry.

2015 10  10.529484 02 24 51.168  -02 15 13.97  23.8r 16SH57    568  C~2TuX      
2015 10  10.557238 02 24 51.034  -02 15 14.84  23.8r 16SH57    568  C~2TuX      
2015 10  10.585578 02 24 50.905  -02 15 15.63  23.9r 16SH57    568  C~2TuX      
2015 10  10.620710 02 24 50.738  -02 15 16.66  24.0r 16SH57    568  C~2TuX      
2015 10  10.622828 02 24 50.725  -02 15 16.71  23.8r 16SH57    568  C~2TuX      
2015 10  14.531277 02 24 32.364  -02 17 08.94  24.5g 16SH57    568  C~2TuX      
2015 10  14.559043 02 24 32.233  -02 17 09.70  24.5g 16SH57    568  C~2TuX      
2015 10  14.587420 02 24 32.091  -02 17 10.49  24.6g 16SH57    568  C~2TuX      
2016 09  27.47695  02 31 38.72   -01 22 08.0   24.7g 16SH57    568  C~2eAI      
2016 09  27.55926  02 31 38.38   -01 22 10.6   24.5g 16SH57    568  C~3sxZ      
2016 09  27.59718  02 31 38.23   -01 22 11.8   24.8g 16SH57    568  C~2eAI      
2016 09  27.59719  02 31 38.23   -01 22 11.8   24.8g 16SH57    568  C~3sxZ      
2016 09  28.48621  02 31 34.71   -01 22 39.1   24.7g 16SH57    568  C~2eAI      
2016 09  28.60677  02 31 34.21   -01 22 42.7   24.5g 16SH57    568  C~2eAI      
2016 09  28.60678  02 31 34.22   -01 22 42.7   24.5g 16SH57    568  C~3sxZ      
2016 09  29.46036  02 31 30.79   -01 23 08.9   24.6g 16SH57    568  C~2eAI      
2016 09  29.49817  02 31 30.62   -01 23 10.1   24.7g 16SH57    568  C~3sxZ      
2016 09  29.52081  02 31 30.53   -01 23 10.8   24.7g 16SH57    568  C~3sxZ      
2016 09  29.54592  02 31 30.43   -01 23 11.5   24.6g 16SH57    568  C~3sxZ      
2016 09  29.58020  02 31 30.29   -01 23 12.6   24.5g 16SH57    568  C~3sxZ      
2016 09  29.61881  02 31 30.12   -01 23 13.8   24.8g 16SH57    568  C~3sxZ      

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     0.02
     2   0.0001     -2.18    -0.04      -0.15    -0.02
     3   0.0002     -4.27     0.04      -0.25    -0.01
     4   0.0002     -6.97     0.00      -0.39     0.00
     5   0.0003     -7.17    -0.04      -0.37     0.03
     6   0.0110   -304.04    -0.02     -14.43    -0.02
     7   0.0110   -306.15     0.04     -14.50    -0.02
     8   0.0111   -308.42    -0.02     -14.53     0.01
     9   0.9663   6825.81     0.08     963.43     0.02
    10   0.9665   6820.13    -0.06     962.69     0.00
    11   0.9666   6817.60    -0.03     962.31    -0.05
    12   0.9666   6817.60    -0.03     962.31    -0.05
    13   0.9691   6758.66     0.02     954.21    -0.04
    14   0.9694   6750.39    -0.04     953.33     0.08
    15   0.9694   6750.53     0.10     953.28     0.03
    16   0.9717   6693.23     0.10     945.77    -0.01
    17   0.9719   6690.42    -0.10     945.49     0.02
    18   0.9719   6688.92    -0.04     945.28    -0.01
    19   0.9720   6687.27     0.04     945.12     0.03
    20   0.9721   6684.92     0.06     944.79    -0.03
    21   0.9722   6682.11    -0.09     944.51     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.

16SH57    quality flag:2

Type:       SCATEXTD  SCATNEAR  SCATEXTD

axisobj        46.910    50.094    46.476
ecceobj         0.205     0.343     0.186
incobj         17.394    17.437    17.384
qmin           36.138    31.374    36.898
qmax           57.274    72.845    55.652
amean          46.501    51.137    46.072
amin           46.090    48.779    45.678
amax           46.995    52.633    46.545
emean           0.204     0.358     0.182
emin            0.191     0.330     0.168
emax            0.220     0.384     0.197
imean          15.619    15.845    15.692
imin           15.013    13.954    15.138
imax           16.198    17.436    16.209
excite_mean     0.338     0.450     0.326
fracstop        1.000     1.000     1.000
cjmean          2.990     2.930     2.995

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       179.4     169.8     178.3
kozaiamp        180.0     180.0     179.9