Orbit Fit and Astrometric record for 13RO157

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: 13RO157   
# Created Tue Dec  7 02:11:58 2021
# Orbit generated from Bernstein formalism
# Fitting     16 observations of     16
# Arc:   4.32y
# First observation: 2013/09/10
#  Last observation: 2018/01/05
Preliminary a, adot, b, bdot, g, gdot:
   0.000634   0.044014  -0.000001  -0.002746   0.032613   0.000000
# Chi-squared of fit:     9.61 DOF:     26 RMS:  0.14
# Min/Max residuals:    -0.35    0.29
# Exact a, adot, b, bdot, g, gdot:
  2.205827E-05  4.422771E-02 -2.341848E-06 -2.744505E-03  3.199762E-02  2.224693E-03
# Covariance matrix:
  4.8572E-13 -2.3266E-13 -2.3806E-15  7.2091E-15  8.1638E-14 -8.2627E-13
 -2.3266E-13  5.8708E-13  2.3324E-14 -3.8312E-14  3.1681E-13  3.3585E-12
 -2.3806E-15  2.3324E-14  3.5004E-13 -1.1192E-13  1.7788E-14  1.4341E-13
  7.2091E-15 -3.8312E-14 -1.1192E-13  5.0069E-14 -2.4574E-14 -2.3751E-13
  8.1638E-14  3.1681E-13  1.7788E-14 -2.4574E-14  4.0213E-13  1.8805E-12
 -8.2627E-13  3.3585E-12  1.4341E-13 -2.3751E-13  1.8805E-12  2.0936E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -11.918040   27.323657    0.645321   -0.159746   -0.757370  2456545.879508
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:            1.03987 +/-     0.004
Argument of Peri:      247.58755 +/-     0.016
Long of Asc Node:      134.44799 +/-     0.001
Inclination:            12.23055 +/-     0.000
Eccentricity:         0.56118493 +/-    0.0001
Semi-Major Axis:     72.88229774 +/-    0.0126
Time of Perihelion: 2455884.0434 +/-       2.4
Perihelion:          31.98185060 +/-    0.0075
Aphelion:           113.78274488 +/-    0.0203
Period (y)              622.2162 +/-      0.16
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           28.15018572 +/-    0.0005
Ecliptic Y           13.82115141 +/-    0.0003
Ecliptic Z           -6.45408642 +/-    0.0001
Ecliptic XDOT        -0.00162085 +/-    0.0000
Ecliptic YDOT         0.00342416 +/-    0.0000
Ecliptic ZDOT        -0.00026894 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   32.01737675 +/-    0.0005
Geocenter to KBO     31.25232515 +/-    0.0006
# Hcoef:  8.33

The following table shows the complete astrometric record for 13RO157. 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 (13RO157) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.37873  01 58 28.653  -00 37 12.01  23.7g 13RO157   W84  C~52RO      
2013 10  04.27462  01 56 43.109  -00 52 21.71  23.6g 13RO157   W84  C~52RO      
2013 11  23.19984  01 52 18.344  -01 15 22.30  23.1i 13RO157   W84  C~52RO      
2014 10  29.27540  02 04 13.621  -00 21 14.43  23.3r 13RO157   W84  C~52RO      
2014 11  28.18350  02 01 39.338  -00 31 28.38  24.4g 13RO157   W84  C~52RO      
2015 12  05.07384  02 10 49.846  +00 12 11.55  23.2i 13RO157   W84  C~52RO      
2015 12  17.13079  02 10 06.636  +00 11 50.05  23.3i 13RO157   W84  C~52RO      
2016 01  10.06762  02 09 24.995  +00 16 41.87  23.7g 13RO157   W84  C~52RO      
2016 09  10.30904  02 27 20.635  +01 36 02.00  23.3r 13RO157   W84  C~52RO      
2016 09  10.31040  02 27 20.625  +01 36 01.66  23.4i 13RO157   W84  C~52RO      
2016 09  10.31179  02 27 20.629  +01 36 01.64  24.0g 13RO157   W84  C~52RO      
2016 11  04.17111  02 22 59.540  +01 05 15.81  23.1r 13RO157   W84  C~52RO      
2016 11  04.17248  02 22 59.550  +01 05 16.03  23.2i 13RO157   W84  C~52RO      
2017 09  18.32393  02 36 26.122  +02 15 12.00  23.5i 13RO157   W84  C~52RO      
2017 12  24.06796  02 28 45.068  +01 40 03.91  22.9r 13RO157   W84  C~52RO      
2018 01  05.06538  02 28 19.353  +01 42 12.92  24.2g 13RO157   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    -0.04       0.00     0.20
     2   0.0654  -1802.40     0.28    -291.62    -0.20
     3   0.2021  -6006.54    -0.06    -180.88     0.01
     4   1.1332   5179.85     0.03    -933.72     0.05
     5   1.2151   2797.13    -0.35    -689.61     0.06
     6   2.2333  11459.33     0.03   -1159.95     0.12
     7   2.2663  10843.62     0.14    -950.48    -0.15
     8   2.3318  10361.21    -0.13    -455.97    -0.06
     9   3.0005  27284.28     0.06   -1708.94     0.14
    10   3.0005  27284.02    -0.13   -1709.21    -0.11
    11   3.0005  27284.07    -0.00   -1709.25    -0.13
    12   3.1507  22905.39    -0.06   -2055.65    -0.13
    13   3.1507  22905.61     0.29   -2055.49     0.02
    14   4.0218  35967.34    -0.16   -2401.01    -0.03
    15   4.2866  28577.78     0.01   -1931.40     0.12
    16   4.3195  28256.23     0.11   -1672.20     0.08

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.

13RO157    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        73.748    73.788    73.708
ecceobj         0.566     0.567     0.566
incobj         12.221    12.221    12.221
qmin           31.246    30.759    31.233
qmax          118.557   119.818   120.398
amean          68.058    69.967    71.453
amin           62.875    61.381    69.690
amax           75.223    76.023    76.232
emean           0.523     0.544     0.545
emin            0.485     0.477     0.529
emax            0.576     0.584     0.579
imean          12.445    10.511    12.581
imin           10.274     8.227    10.259
imax           14.012    12.199    13.464
excite_mean     0.566     0.574     0.587
fracstop        1.000     1.000     1.000
cjmean          2.944     2.945     2.942

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       172.9     196.8     210.3
kozaiamp        180.0     180.0     179.9