Orbit Fit and Astrometric record for 13RL157

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: 13RL157   
# Created Sat Nov 27 02:11:59 2021
# Orbit generated from Bernstein formalism
# Fitting     12 observations of     12
# Arc:   1.18y
# First observation: 2013/09/10
#  Last observation: 2014/11/16
Preliminary a, adot, b, bdot, g, gdot:
  -0.000004   0.027318   0.000003   0.010050   0.025867   0.000000
# Chi-squared of fit:     6.05 DOF:     18 RMS:  0.13
# Min/Max residuals:    -0.21    0.28
# Exact a, adot, b, bdot, g, gdot:
  1.643984E-05  2.730735E-02  5.700156E-06  1.007296E-02  2.585031E-02  2.965267E-03
# Covariance matrix:
  6.8125E-13  4.7584E-13 -3.4899E-14  4.8167E-13  9.6289E-13  3.9175E-11
  4.7584E-13  4.7027E-12 -3.0590E-13  3.9355E-12  3.0454E-12  3.2007E-10
 -3.4899E-14 -3.0590E-13  3.1376E-13 -5.6689E-13 -1.8755E-13 -2.4135E-11
  4.8167E-13  3.9355E-12 -5.6689E-13  4.2263E-12  2.4670E-12  3.0839E-10
  9.6289E-13  3.0454E-12 -1.8755E-13  2.4670E-12  2.8851E-12  2.0064E-10
  3.9175E-11  3.2007E-10 -2.4135E-11  3.0839E-10  2.0064E-10  2.5082E-08
#      lat0       lon0       xBary       yBary       zBary        JD0
   -5.723037   19.736549    0.537628   -0.084896   -0.848132  2456545.869028
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:           11.69386 +/-     0.614
Argument of Peri:      321.83737 +/-     1.228
Long of Asc Node:       33.87094 +/-     0.001
Inclination:            20.85349 +/-     0.001
Eccentricity:         0.29512938 +/-    0.0028
Semi-Major Axis:     55.13842201 +/-    0.1071
Time of Perihelion: 2451682.7463 +/-     254.6
Perihelion:          38.86545392 +/-    0.1724
Aphelion:            71.41139011 +/-    0.2081
Period (y)              409.4395 +/-      1.19
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           37.21362996 +/-    0.0024
Ecliptic Y           12.78326552 +/-    0.0008
Ecliptic Z           -3.85739291 +/-    0.0003
Ecliptic XDOT        -0.00058858 +/-    0.0000
Ecliptic YDOT         0.00286256 +/-    0.0000
Ecliptic ZDOT         0.00103035 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.53663633 +/-    0.0023
Geocenter to KBO     38.68425104 +/-    0.0025
# Hcoef:  7.54

The following table shows the complete astrometric record for 13RL157. 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 (13RL157) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.36825  01 21 31.444  +02 25 00.14  23.6r 13RL157   W84  C~52RO      
2013 09  10.36963  01 21 31.437  +02 24 59.91  22.9i 13RL157   W84  C~52RO      
2013 10  13.20007  01 19 02.472  +02 11 55.73  23.2i 13RL157   W84  C~52RO      
2013 11  08.18830  01 16 59.844  +02 03 12.13  23.9g 13RL157   W84  C~52RO      
2013 11  08.19978  01 16 59.786  +02 03 11.98  23.4r 13RL157   W84  C~52RO      
2013 11  08.20115  01 16 59.779  +02 03 12.15  24.0i 13RL157   W84  C~52RO      
2014 10  21.25802  01 23 21.442  +03 16 19.40  23.9r 13RL157   W84  C~52RO      
2014 10  28.23025  01 22 47.831  +03 13 51.41  24.0g 13RL157   W84  C~52RO      
2014 10  29.22886  01 22 43.062  +03 13 31.33  23.4r 13RL157   W84  C~52RO      
2014 11  14.13577  01 21 31.887  +03 08 55.47  23.3i 13RL157   W84  C~52RO      
2014 11  15.17156  01 21 27.644  +03 08 41.17  23.0i 13RL157   W84  C~52RO      
2014 11  16.05778  01 21 24.031  +03 08 29.10  22.6z 13RL157   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     0.05       0.00     0.10
     2   0.0000     -0.18    -0.04      -0.17    -0.08
     3   0.0899  -2364.09    -0.05     109.99    -0.04
     4   0.1610  -4264.90     0.05     314.58    -0.10
     5   0.1611  -4265.76    -0.04     314.77    -0.03
     6   0.1611  -4265.79     0.02     314.96     0.15
     7   1.1113   2681.60    -0.14    2238.04     0.27
     8   1.1304   2159.35     0.28    2289.27    -0.16
     9   1.1331   2085.60    -0.04    2297.39     0.03
    10   1.1766    993.78    -0.21    2440.94    -0.15
    11   1.1795    929.50     0.19    2451.49    -0.05
    12   1.1819    874.80    -0.08    2460.58     0.07

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.

13RL157    quality flag:2

Type:       SCATNEAR    5:2EEE  SCATNEAR

axisobj        55.582    55.984    55.228
ecceobj         0.301     0.311     0.293
incobj         20.821    20.822    20.820
qmin           37.663    33.467    37.910
qmax           73.317    78.636    72.209
amean          55.081    55.462    54.714
amin           54.503    54.757    54.166
amax           55.809    56.325    55.371
emean           0.298     0.358     0.289
emin            0.282     0.295     0.275
emax            0.315     0.397     0.305
imean          20.128    16.790    20.135
imin           19.479    14.271    19.764
imax           20.757    20.551    20.691
excite_mean     0.455     0.461     0.450
fracstop        1.000     1.000     1.000
cjmean          2.970     2.967     2.973

libcent 0      -180.0     182.3    -180.0
libamp  0      -180.0      84.6    -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       183.5     302.2     177.2
kozaiamp        180.0      12.0     180.0