Orbit Fit and Astrometric record for 13RC158

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: 13RC158   
# Created Fri Dec  3 02:11:55 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     16 observations of     16
# Arc:   8.15y
# First observation: 2013/09/12
#  Last observation: 2021/11/05
# Chi-squared of fit:     5.16 DOF:     26 RMS:  0.10
# Min/Max residuals:    -0.20    0.23
# Exact a, adot, b, bdot, g, gdot:
  1.729953E-05  3.556378E-02  1.076090E-06  2.070045E-03  3.262739E-02 -5.167765E-04
# Covariance matrix:
  5.7396E-13 -2.4643E-13  1.4932E-14 -1.3687E-14  2.9369E-13 -7.5943E-13
 -2.4643E-13  1.5875E-13 -1.0607E-14  9.5905E-15 -1.0898E-13  5.3630E-13
  1.4932E-14 -1.0607E-14  2.3826E-13 -4.2730E-14  8.3240E-15 -3.8787E-14
 -1.3687E-14  9.5905E-15 -4.2730E-14  1.2555E-14 -8.0376E-15  3.5115E-14
  2.9369E-13 -1.0898E-13  8.3240E-15 -8.0376E-15  4.6908E-13 -4.3319E-13
 -7.5943E-13  5.3630E-13 -3.8787E-14  3.5115E-14 -4.3319E-13  1.9621E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -6.909402   18.217557    0.485106   -0.106077   -0.876240  2456547.853658
# Heliocentric elements and errors
Epoch:              2456548.5000  =  2013/09/13
Mean Anomaly:          215.67143 +/-     0.038
Argument of Peri:       83.41568 +/-     0.030
Long of Asc Node:       81.64468 +/-     0.001
Inclination:             7.44433 +/-     0.000
Eccentricity:         0.05673485 +/-    0.0001
Semi-Major Axis:     30.11100177 +/-    0.0026
Time of Perihelion: 2480744.0809 +/-       7.9
Perihelion:          28.40265874 +/-    0.0033
Aphelion:            31.81934480 +/-    0.0035
Period (y)              165.2327 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           29.89100606 +/-    0.0006
Ecliptic Y            9.33023545 +/-    0.0002
Ecliptic Z           -3.68707293 +/-    0.0001
Ecliptic XDOT        -0.00096017 +/-    0.0000
Ecliptic YDOT         0.00282657 +/-    0.0000
Ecliptic ZDOT         0.00017780 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.52968594 +/-    0.0006
Geocenter to KBO     30.64913052 +/-    0.0006
# Hcoef:  8.76

The following table shows the complete astrometric record for 13RC158. 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 (13RC158) followed by the observatory code and reference code for the source of the astrometry.

2013 09  12.35288  01 17 42.787  +00 44 57.92  24.8g 13RC158   W84  C~52RP      
2013 10  03.12407  01 15 49.510  +00 32 16.60  24.2g 13RC158   W84  C~52RP      
2013 11  08.20827  01 12 20.777  +00 13 21.57  23.5r 13RC158   W84  C~52RQ      
2013 11  08.20964  01 12 20.771  +00 13 21.71  23.6i 13RC158   W84  C~52RQ      
2015 10  17.17378  01 29 17.639  +02 10 13.24  23.6r 13RC158   W84  C~52RQ      
2015 11  06.19330  01 27 19.792  +01 59 59.93  23.6i 13RC158   W84  C~52RQ      
2016 10  21.23668  01 36 14.681  +03 00 27.57  23.7i 13RC158   W84  C~52RQ      
2016 10  28.24390  01 35 32.503  +02 56 45.69  23.3r 13RC158   W84  C~52RQ      
2017 08  22.37959  01 48 31.368  +04 25 13.20  23.4r 13RC158   W84  C~52RQ      
2017 08  22.38095  01 48 31.360  +04 25 13.16  23.6i 13RC158   W84  C~52RQ      
2017 08  22.38233  01 48 31.361  +04 25 13.05  23.7g 13RC158   W84  C~52RQ      
2017 08  27.36798  01 48 17.949  +04 23 10.25  23.6i 13RC158   W84  C~52RQ      
2017 08  27.36937  01 48 17.934  +04 23 10.30  24.5g 13RC158   W84  C~52RQ      
2021 11  05.245210 02 12 28.917  +07 15 49.03  23.2G 13RC158   G37  C~5BQf      
2021 11  05.300150 02 12 28.574  +07 15 47.32        13RC158   G37  C~5BQf      
2021 11  05.355420 02 12 28.216  +07 15 45.75        13RC158   G37  C~5BQf      

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    -0.01       0.00    -0.02
     2   0.0569      0.00     0.11       0.00    -0.05
     3   0.1557      0.00    -0.00       0.00    -0.20
     4   0.1557      0.00     0.02       0.00    -0.03
     5   2.0940      0.00    -0.16       0.00     0.23
     6   2.1488      0.00     0.15       0.00    -0.07
     7   3.1071      0.00     0.04       0.00     0.11
     8   3.1263      0.00    -0.18       0.00     0.15
     9   3.9426      0.00     0.04       0.00    -0.00
    10   3.9426      0.00    -0.03       0.00    -0.01
    11   3.9426      0.00     0.04       0.00    -0.09
    12   3.9562      0.00     0.06       0.00     0.04
    13   3.9562      0.00    -0.10       0.00     0.12
    14   8.1475      0.00     0.07       0.00     0.04
    15   8.1477      0.00     0.09       0.00    -0.10
    16   8.1479      0.00    -0.09       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.

13RC158    quality flag:3

Type:            1:1       1:1       1:1

axisobj        30.226    30.226    30.226
ecceobj         0.052     0.052     0.052
incobj          7.448     7.448     7.448
qmin           27.592    27.592    27.592
qmax           32.937    32.935    32.938
amean          30.110    30.110    30.110
amin           29.792    29.792    29.792
amax           30.498    30.497    30.498
emean           0.053     0.053     0.053
emin            0.030     0.030     0.030
emax            0.080     0.080     0.080
imean           5.808     5.808     5.808
imin            5.467     5.467     5.467
imax            6.138     6.138     6.138
excite_mean     0.115     0.115     0.115
fracstop        1.000     1.000     1.000
cjmean          2.985     2.985     2.985

libcent 0        64.5      64.5      64.4
libamp  0        24.3      24.3      24.2
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       180.4     180.4     180.4
kozaiamp        180.0     180.0     180.0