Orbit Fit and Astrometric record for 13SP112

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: 13SP112   
# Created Sat Dec  4 02:12:03 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     11 observations of     11
# Arc:   8.10y
# First observation: 2013/09/30
#  Last observation: 2021/11/05
# Chi-squared of fit:     3.28 DOF:     16 RMS:  0.10
# Min/Max residuals:    -0.17    0.21
# Exact a, adot, b, bdot, g, gdot:
  1.277952E-05  1.923237E-02 -1.027611E-05 -1.525929E-02  2.386098E-02  3.351183E-03
# Covariance matrix:
  3.8753E-13 -1.2278E-13 -5.4405E-14  8.1569E-14  3.7893E-13 -6.7768E-13
 -1.2278E-13  1.1993E-13  6.5206E-14 -9.4146E-14 -5.1336E-14  7.7422E-13
 -5.4405E-14  6.5206E-14  3.2597E-13 -1.0359E-13 -8.0865E-14  4.8857E-13
  8.1569E-14 -9.4146E-14 -1.0359E-13  9.9597E-14  1.3982E-13 -7.1276E-13
  3.7893E-13 -5.1336E-14 -8.0865E-14  1.3982E-13  2.6330E-12 -1.2025E-12
 -6.7768E-13  7.7422E-13  4.8857E-13 -7.1276E-13 -1.2025E-12  5.8782E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    4.415984   -5.462550   -0.212168    0.075469   -0.976007  2456565.604718
# Heliocentric elements and errors
Epoch:              2456566.5000  =  2013/10/01
Mean Anomaly:           31.02611 +/-     0.028
Argument of Peri:      125.63108 +/-     0.037
Long of Asc Node:      180.23276 +/-     0.000
Inclination:            38.68306 +/-     0.000
Eccentricity:         0.21730095 +/-    0.0002
Semi-Major Axis:     51.62430205 +/-    0.0197
Time of Perihelion: 2444890.2181 +/-      12.6
Perihelion:          40.40629203 +/-    0.0197
Aphelion:            62.84231207 +/-    0.0269
Period (y)              370.9279 +/-      0.21
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           42.58959519 +/-    0.0028
Ecliptic Y           -3.85673724 +/-    0.0003
Ecliptic Z            3.22646319 +/-    0.0002
Ecliptic XDOT         0.00071974 +/-    0.0000
Ecliptic YDOT         0.00214608 +/-    0.0000
Ecliptic ZDOT        -0.00171593 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.88531193 +/-    0.0028
Geocenter to KBO     41.90937754 +/-    0.0029
# Hcoef:  7.55

The following table shows the complete astrometric record for 13SP112. 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 (13SP112) followed by the observatory code and reference code for the source of the astrometry.

2013 09  30.10394  23 32 56.752  +01 53 05.17  23.6r 13SP112   W84  C~52RU      
2013 09  30.12961  23 32 56.640  +01 53 04.14  23.2i 13SP112   W84  C~52RU      
2013 10  11.11655  23 32 13.245  +01 46 15.38  24.2z 13SP112   W84  C~52RU      
2013 10  28.03378  23 31 16.444  +01 36 26.21  23.5r 13SP112   W84  C~52RU      
2015 11  07.04245  23 41 33.925  +00 48 12.17  23.9r 13SP112   W84  C~52RU      
2016 10  09.14020  23 48 25.115  +00 41 49.76  23.7r 13SP112   W84  C~52RU      
2017 09  18.22364  23 55 10.091  +00 33 02.09  23.9i 13SP112   W84  C~52RU      
2017 09  27.15527  23 54 32.399  +00 27 34.92  23.5i 13SP112   W84  C~52RU      
2021 11  05.089140 00 12 53.271  -01 18 03.41  24.1G 13SP112   G37  C~5BQk      
2021 11  05.138910 00 12 53.125  -01 18 04.68        13SP112   G37  C~5BQk      
2021 11  05.187510 00 12 52.963  -01 18 06.01        13SP112   G37  C~5BQk      

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    -0.02       0.00     0.03
     2   0.0001      0.00    -0.09       0.00    -0.04
     3   0.0302      0.00     0.04       0.00    -0.09
     4   0.0765      0.00     0.13       0.00     0.09
     5   2.1025      0.00    -0.07       0.00     0.03
     6   3.0254      0.00    -0.12       0.00     0.18
     7   3.9675      0.00     0.21       0.00    -0.17
     8   3.9919      0.00    -0.02       0.00    -0.04
     9   8.0985      0.00    -0.04       0.00     0.01
    10   8.0987      0.00     0.08       0.00     0.04
    11   8.0988      0.00    -0.09       0.00    -0.03

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.

13SP112    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        51.902    51.902    51.902
ecceobj         0.221     0.221     0.221
incobj         38.585    38.585    38.585
qmin           37.965    37.976    37.944
qmax           66.043    66.025    66.031
amean          51.697    51.697    51.697
amin           51.174    51.172    51.174
amax           52.270    52.268    52.269
emean           0.238     0.238     0.238
emin            0.208     0.209     0.209
emax            0.265     0.265     0.265
imean          37.915    37.916    37.909
imin           37.360    37.365    37.353
imax           38.412    38.440    38.449
excite_mean     0.659     0.659     0.659
fracstop        1.000     1.000     1.000
cjmean          2.591     2.591     2.591

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       193.4     193.6     192.6
kozaiamp         82.7      83.0      81.2