Orbit Fit and Astrometric record for 13SB112

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: 13SB112   
# Created Tue Nov 30 02:12:03 2021
# Orbit generated from Bernstein formalism
# Fitting     14 observations of     14
# Arc:   4.00y
# First observation: 2013/09/28
#  Last observation: 2017/09/27
Preliminary a, adot, b, bdot, g, gdot:
   0.000049   0.025612  -0.000101   0.016642   0.028529   0.000000
# Chi-squared of fit:     4.29 DOF:     22 RMS:  0.10
# Min/Max residuals:    -0.25    0.16
# Exact a, adot, b, bdot, g, gdot:
  1.538060E-05  2.538654E-02  8.874515E-06  1.647066E-02  2.832506E-02 -1.918716E-03
# Covariance matrix:
  4.1270E-13 -1.4062E-13 -1.4805E-15 -1.1684E-14  3.4215E-13 -1.9417E-13
 -1.4062E-13  4.7094E-13 -8.5897E-14  2.9050E-13  1.9148E-13  4.3871E-12
 -1.4805E-15 -8.5897E-14  2.7030E-13 -1.3504E-13 -7.3973E-14 -9.1549E-13
 -1.1684E-14  2.9050E-13 -1.3504E-13  2.3918E-13  2.0903E-13  3.0433E-12
  3.4215E-13  1.9148E-13 -7.3973E-14  2.0903E-13  1.0001E-12  3.1131E-12
 -1.9417E-13  4.3871E-12 -9.1549E-13  3.0433E-12  3.1131E-12  4.5904E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -5.197135    6.865820    0.036103   -0.090637   -0.997520  2456563.603798
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:          313.32625 +/-     0.087
Argument of Peri:       44.95885 +/-     0.111
Long of Asc Node:       14.54389 +/-     0.000
Inclination:            33.32094 +/-     0.000
Eccentricity:         0.08404665 +/-    0.0002
Semi-Major Axis:     38.35825834 +/-    0.0057
Time of Perihelion: 2467810.6137 +/-      20.8
Perihelion:          35.13437527 +/-    0.0093
Aphelion:            41.58214141 +/-    0.0099
Period (y)              237.5727 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           35.90547856 +/-    0.0012
Ecliptic Y            4.28998896 +/-    0.0001
Ecliptic Z           -3.19767502 +/-    0.0001
Ecliptic XDOT        -0.00033971 +/-    0.0000
Ecliptic YDOT         0.00243007 +/-    0.0000
Ecliptic ZDOT         0.00160242 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.30196306 +/-    0.0012
Geocenter to KBO     35.30442778 +/-    0.0012
# Hcoef:  8.22

The following table shows the complete astrometric record for 13SB112. 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 (13SB112) followed by the observatory code and reference code for the source of the astrometry.

2013 09  28.10302  00 33 25.864  -02 02 55.84  24.3g 13SB112   W84  C~52RU      
2013 10  13.16167  00 32 03.132  -02 09 00.24  23.5i 13SB112   W84  C~52RU      
2013 10  13.16624  00 32 03.107  -02 09 00.07  23.5z 13SB112   W84  C~52RU      
2013 11  23.14325  00 29 00.692  -02 18 03.85  24.2r 13SB112   W84  C~52RU      
2013 11  23.14465  00 29 00.702  -02 18 03.96  23.3i 13SB112   W84  C~52RU      
2014 10  02.24215  00 36 55.712  -00 37 56.34  23.5r 13SB112   W84  C~52RU      
2014 11  13.12979  00 33 25.531  -00 51 17.43  23.5i 13SB112   W84  C~52RU      
2016 09  09.28058  00 46 39.679  +02 25 24.87  23.7r 13SB112   W84  C~52RU      
2016 09  09.28195  00 46 39.671  +02 25 24.83  23.0i 13SB112   W84  C~52RU      
2016 11  18.08134  00 40 43.989  +02 00 31.50  24.1r 13SB112   W84  C~52RU      
2017 08  28.27853  00 51 29.109  +03 56 43.09  23.9r 13SB112   W84  C~52RU      
2017 09  27.22811  00 49 00.268  +03 45 42.32  23.7r 13SB112   W84  C~52RU      
2017 09  27.22950  00 49 00.245  +03 45 42.20  23.3i 13SB112   W84  C~52RU      
2017 09  27.23087  00 49 00.246  +03 45 42.14  24.6g 13SB112   W84  C~52RU      

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    -0.25       0.00     0.07
     2   0.0412  -1283.24     0.01     155.20    -0.14
     3   0.0412  -1283.52     0.12     155.50     0.11
     4   0.1534  -4010.80    -0.08     735.27     0.13
     5   0.1534  -4010.71     0.07     735.11    -0.06
     6   1.0106   4907.96    -0.00    3440.83     0.00
     7   1.1253   1694.29     0.16    3951.09    -0.06
     8   2.9492  17355.22     0.10   10112.87    -0.11
     9   2.9492  17355.09     0.08   10112.88    -0.11
    10   3.1403  11834.07    -0.08   10841.37    -0.00
    11   3.9156  23580.11     0.03   13481.54     0.01
    12   3.9976  21241.13     0.08   13746.63     0.07
    13   3.9976  21240.76    -0.17   13746.65     0.08
    14   3.9976  21240.75    -0.06   13746.59     0.01

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.

13SB112    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        38.517    38.533    38.500
ecceobj         0.085     0.086     0.085
incobj         33.242    33.241    33.242
qmin           34.541    34.604    34.415
qmax           42.376    42.290    42.439
amean          38.346    38.339    38.341
amin           38.049    38.048    38.042
amax           38.663    38.649    38.661
emean           0.081     0.081     0.083
emin            0.067     0.067     0.068
emax            0.096     0.094     0.099
imean          33.158    33.154    33.144
imin           32.747    32.757    32.757
imax           33.588    33.581    33.572
excite_mean     0.553     0.553     0.553
fracstop        1.000     1.000     1.000
cjmean          2.669     2.669     2.669

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       170.6     171.9     171.7
kozaiamp        179.9     180.0     180.0