Orbit Fit and Astrometric record for 13SG113

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: 13SG113   
# Created Tue Apr  1 01:09:44 2025
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     21 observations of     21
# Arc:  11.16y
# First observation: 2013/09/02
#  Last observation: 2024/11/01
# Chi-squared of fit:     8.58 DOF:     36 RMS:  0.11
# Min/Max residuals:    -0.21    0.34
# Exact a, adot, b, bdot, g, gdot:
  1.429448E-05  2.247504E-02  2.878809E-06  2.964847E-03  2.344390E-02  4.019125E-03
# Covariance matrix:
  3.1185E-13 -4.8682E-14  5.7904E-15 -6.1205E-15  3.0663E-13 -2.1408E-13
 -4.8682E-14  5.9994E-14 -5.5024E-15  7.8710E-15  9.7765E-15  2.5775E-13
  5.7904E-15 -5.5024E-15  1.0988E-13 -1.4554E-14  3.0080E-15 -2.6415E-14
 -6.1205E-15  7.8710E-15 -1.4554E-14  6.0949E-15 -5.5213E-16  3.7180E-14
  3.0663E-13  9.7765E-15  3.0080E-15 -5.5213E-16  5.4433E-13 -4.1756E-14
 -2.1408E-13  2.5775E-13 -2.6415E-14  3.7180E-14 -4.1756E-14  1.2213E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.872140   -3.231335    0.297915    0.048444   -0.963943  2456537.742388
# Heliocentric elements and errors
Epoch:              2456538.5000  =  2013/09/03
Mean Anomaly:           59.44923 +/-     0.023
Argument of Peri:      301.71077 +/-     0.030
Long of Asc Node:      336.09045 +/-     0.001
Inclination:             8.05252 +/-     0.000
Eccentricity:         0.17722701 +/-    0.0001
Semi-Major Axis:     46.58911068 +/-    0.0067
Time of Perihelion: 2437357.6077 +/-       8.4
Perihelion:          38.33226190 +/-    0.0063
Aphelion:            54.84595946 +/-    0.0085
Period (y)              318.0056 +/-      0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           43.48032080 +/-    0.0013
Ecliptic Y           -2.75009416 +/-    0.0001
Ecliptic Z            2.13744464 +/-    0.0001
Ecliptic XDOT         0.00059247 +/-    0.0000
Ecliptic YDOT         0.00259399 +/-    0.0000
Ecliptic ZDOT         0.00036947 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   43.61949618 +/-    0.0013
Geocenter to KBO     42.65493624 +/-    0.0013
# Hcoef:  7.00

The following table shows the complete astrometric record for 13SG113. 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 (13SG113) followed by the observatory code and reference code for the source of the astrometry.

2013 09  02.24161  23 43 34.549  +01 21 03.97  24.0g 13SG113   W84  C~55Nk      
2013 09  11.25591  23 42 56.349  +01 17 21.16  24.5g 13SG113   W84  C~55Nk      
2013 09  28.07656  23 41 43.773  +01 09 59.30  24.3g 13SG113   W84  C~55Nk      
2013 09  29.192338 23 41 39.02   +01 09 29.7   23.1r 13SG113   W84  C~55Nk      
2013 09  29.193738 23 41 39.02   +01 09 29.6   23.0i 13SG113   W84  C~55Nk      
2013 09  30.126042 23 41 35.07   +01 09 05.0   23.4r 13SG113   W84  C~55Nk      
2013 09  30.136563 23 41 35.03   +01 09 04.6   23.0i 13SG113   W84  C~55Nk      
2013 10  12.100104 23 40 46.26   +01 03 53.8   22.6i 13SG113   W84  C~55Nk      
2013 10  12.101505 23 40 46.26   +01 03 53.9   21.2z 13SG113   W84  C~55Nk      
2013 11  08.121493 23 39 19.22   +00 54 05.3   23.4r 13SG113   W84  C~55Nk      
2013 11  22.051458 23 38 53.00   +00 50 46.8   23.6g 13SG113   W84  C~55Nk      
2015 11  05.07809  23 48 16.415  +02 14 11.70  23.1i 13SG113   W84  C~55Nk      
2015 11  07.05623  23 48 11.010  +02 13 32.82  23.8r 13SG113   W84  C~55Nk      
2015 11  07.05760  23 48 10.997  +02 13 32.58  24.1g 13SG113   W84  C~55Nk      
2017 08  28.25795  00 01 26.811  +03 59 54.79  23.7i 13SG113   W84  C~55Nk      
2017 09  27.18279  23 59 22.616  +03 47 49.82  23.3i 13SG113   W84  C~55Nk      
2018 09  09.25663  00 04 59.289  +04 33 54.12  23.9g 13SG113   W84  C~55Nk      
2018 11  08.13322  00 01 06.439  +04 09 00.72  23.5r 13SG113   W84  C~55Nk      
2024 11  01.124250 00 26 54.579  +07 54 03.69  23.7G 13SG113   G37  C~8SPE      
2024 11  01.170650 00 26 54.412  +07 54 02.54        13SG113   G37  C~8SPE      
2024 11  01.216960 00 26 54.250  +07 54 01.45        13SG113   G37  C~8SPE      

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     0.24       0.00    -0.10
     2   0.0247      0.00    -0.21       0.00     0.04
     3   0.0707      0.00     0.00       0.00    -0.00
     4   0.0738      0.00    -0.01       0.00     0.02
     5   0.0738      0.00     0.08       0.00    -0.05
     6   0.0763      0.00    -0.04       0.00     0.07
     7   0.0764      0.00     0.04       0.00    -0.05
     8   0.1091      0.00    -0.18       0.00    -0.06
     9   0.1091      0.00    -0.09       0.00     0.07
    10   0.1831      0.00     0.14       0.00     0.34
    11   0.2212      0.00    -0.03       0.00    -0.14
    12   2.1734      0.00     0.14       0.00     0.13
    13   2.1788      0.00     0.05       0.00     0.01
    14   2.1788      0.00    -0.09       0.00    -0.21
    15   3.9864      0.00    -0.10       0.00     0.03
    16   4.0683      0.00    -0.01       0.00    -0.17
    17   5.0185      0.00     0.22       0.00    -0.02
    18   5.1825      0.00    -0.04       0.00     0.06
    19  11.1646      0.00    -0.02       0.00     0.01
    20  11.1648      0.00    -0.05       0.00    -0.00
    21  11.1649      0.00    -0.00       0.00     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.

13SG113    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        46.866    46.866    46.866
ecceobj         0.180     0.180     0.180
incobj          8.029     8.029     8.029
qmin           37.703    37.659    37.695
qmax           56.077    56.149    56.046
amean          46.687    46.688    46.687
amin           46.271    46.281    46.282
amax           47.156    47.166    47.157
emean           0.177     0.177     0.177
emin            0.164     0.163     0.164
emax            0.191     0.191     0.190
imean           9.068     9.068     9.068
imin            8.536     8.539     8.540
imax            9.615     9.614     9.616
excite_mean     0.237     0.237     0.237
fracstop        1.000     1.000     1.000
cjmean          3.065     3.065     3.065

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       178.8     178.7     178.9
kozaiamp        180.0     180.0     180.0