Orbit Fit and Astrometric record for 13RG157

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: 13RG157   
# Created Sat Dec  4 02:11:55 2021
# Orbit generated from Bernstein formalism
# Fitting     15 observations of     15
# Arc:   3.95y
# First observation: 2013/09/10
#  Last observation: 2017/08/22
Preliminary a, adot, b, bdot, g, gdot:
  -0.000101   0.020125  -0.000027  -0.004846   0.022680   0.000000
# Chi-squared of fit:     8.53 DOF:     24 RMS:  0.13
# Min/Max residuals:    -0.30    0.31
# Exact a, adot, b, bdot, g, gdot:
  1.335566E-05  2.032445E-02 -4.627508E-06 -4.898008E-03  2.309523E-02  3.000555E-03
# Covariance matrix:
  4.3209E-13 -3.5215E-14  7.7627E-15 -1.9973E-14  3.0260E-13  1.1040E-12
 -3.5215E-14  5.5081E-13  5.0063E-14 -1.3236E-13  6.3280E-13  7.4687E-12
  7.7627E-15  5.0063E-14  2.9731E-13 -1.1288E-13  6.5625E-14  7.4994E-13
 -1.9973E-14 -1.3236E-13 -1.1288E-13  8.6418E-14 -1.7258E-13 -1.9822E-12
  3.0260E-13  6.3280E-13  6.5625E-14 -1.7258E-13  1.1732E-12  9.6994E-12
  1.1040E-12  7.4687E-12  7.4994E-13 -1.9822E-12  9.6994E-12  1.1182E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
   -4.906270   20.807568    0.553742   -0.071912   -0.838926  2456545.850228
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:          109.70151 +/-     0.102
Argument of Peri:       75.63345 +/-     0.095
Long of Asc Node:      180.96760 +/-     0.001
Inclination:            14.41374 +/-     0.001
Eccentricity:         0.14243627 +/-    0.0004
Semi-Major Axis:     41.46152546 +/-    0.0042
Time of Perihelion: 2426825.4503 +/-      27.2
Perihelion:          35.55590059 +/-    0.0168
Aphelion:            47.36715032 +/-    0.0171
Period (y)              266.9784 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           41.30994550 +/-    0.0019
Ecliptic Y           15.10924322 +/-    0.0007
Ecliptic Z           -3.70341115 +/-    0.0002
Ecliptic XDOT        -0.00057720 +/-    0.0000
Ecliptic YDOT         0.00235934 +/-    0.0000
Ecliptic ZDOT        -0.00060880 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   44.14199908 +/-    0.0018
Geocenter to KBO     43.29898431 +/-    0.0020
# Hcoef:  7.28

The following table shows the complete astrometric record for 13RG157. 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 (13RG157) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.34945  01 24 15.827  +03 34 21.99  24.5g 13RG157   W84  C~52RO      
2013 09  10.36825  01 24 15.763  +03 34 21.25  23.8r 13RG157   W84  C~52RO      
2013 09  10.36963  01 24 15.751  +03 34 21.13  23.4i 13RG157   W84  C~52RO      
2013 11  22.15611  01 19 26.438  +03 02 14.95  23.7i 13RG157   W84  C~52RO      
2014 11  14.13577  01 24 39.338  +03 15 21.32  23.4i 13RG157   W84  C~52RO      
2014 11  18.15976  01 24 24.861  +03 14 00.15  23.1z 13RG157   W84  C~52RO      
2015 11  06.18503  01 29 54.222  +03 28 41.90  23.2r 13RG157   W84  C~52RO      
2015 11  06.18639  01 29 54.221  +03 28 42.35  23.5i 13RG157   W84  C~52RO      
2015 11  18.16315  01 29 08.410  +03 24 22.34  23.8r 13RG157   W84  C~52RO      
2016 08  16.38008  01 39 22.696  +04 14 19.12  23.5z 13RG157   W84  C~52RO      
2016 10  21.23668  01 35 40.228  +03 45 21.01  23.8i 13RG157   W84  C~52RO      
2016 10  28.24390  01 35 10.149  +03 42 14.00  23.6r 13RG157   W84  C~52RO      
2016 11  05.15343  01 34 37.087  +03 38 56.31  23.8r 13RG157   W84  C~52RO      
2017 08  22.38370  01 43 50.281  +04 22 05.73  23.2i 13RG157   W84  C~52RO      
2017 08  22.38506  01 43 50.284  +04 22 05.58  24.2r 13RG157   W84  C~52RO      

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     0.12       0.00     0.26
     2   0.0001     -1.16     0.05      -0.33     0.05
     3   0.0001     -1.38    -0.09      -0.37     0.01
     4   0.1993  -4740.49     0.09    -170.87    -0.18
     5   1.1767    -98.21    -0.05   -1189.73     0.03
     6   1.1877   -329.65    -0.20   -1184.30    -0.18
     7   2.1542   4577.48    -0.12   -2200.07    -0.30
     8   2.1542   4577.64     0.12   -2199.65     0.13
     9   2.1870   3843.85    -0.01   -2186.34     0.03
    10   2.9323  13513.67    -0.07   -2806.29     0.04
    11   3.1126   9766.10    -0.14   -3192.53    -0.14
    12   3.1318   9277.54     0.31   -3199.69     0.17
    13   3.1535   8743.53     0.02   -3200.15    -0.03
    14   3.9481  17430.44    -0.03   -3849.75     0.12
    15   3.9481  17430.43     0.01   -3849.91    -0.02

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.

13RG157    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        41.676    41.689    41.663
ecceobj         0.142     0.142     0.142
incobj         14.368    14.368    14.368
qmin           34.937    34.968    34.936
qmax           48.127    48.135    48.110
amean          41.429    41.475    41.409
amin           41.072    41.098    41.056
amax           41.796    41.859    41.792
emean           0.130     0.131     0.130
emin            0.110     0.111     0.111
emax            0.153     0.153     0.153
imean          15.083    15.117    15.068
imin           13.892    13.892    13.891
imax           16.266    16.267    16.271
excite_mean     0.291     0.292     0.291
fracstop        1.000     1.000     1.000
cjmean          2.972     2.972     2.972

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       180.1     178.8     181.3
kozaiamp        179.9     180.0     179.9