Orbit Fit and Astrometric record for 13QR99

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: 13QR99    
# Created Thu Dec  9 02:11:41 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     28 observations of     28
# Arc:   5.20y
# First observation: 2013/08/16
#  Last observation: 2018/10/28
# Chi-squared of fit:    10.53 DOF:     50 RMS:  0.11
# Min/Max residuals:    -0.22    0.43
# Exact a, adot, b, bdot, g, gdot:
  1.603330E-05  2.660408E-02  4.081601E-07  9.891775E-04  2.600832E-02  1.926590E-04
# Covariance matrix:
  8.4602E-14 -3.2347E-14 -2.3784E-15 -3.5306E-15  6.4699E-14 -1.8187E-13
 -3.2347E-14  4.9708E-13 -1.3716E-14  3.1843E-14  2.3849E-13  4.4805E-12
 -2.3784E-15 -1.3716E-14  7.1017E-14 -1.8933E-14 -2.0921E-14 -1.1848E-13
 -3.5306E-15  3.1843E-14 -1.8933E-14  2.2309E-14  2.6833E-15  3.0851E-13
  6.4699E-14  2.3849E-13 -2.0921E-14  2.6833E-15  4.8209E-13  1.9738E-12
 -1.8187E-13  4.4805E-12 -1.1848E-13  3.0851E-13  1.9738E-12  4.2246E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -33.116496  -35.062819    0.029902   -0.553807   -0.849136  2456520.749789
# Heliocentric elements and errors
Epoch:              2456520.5000  =  2013/08/16
Mean Anomaly:            7.77619 +/-     0.326
Argument of Peri:      264.80987 +/-     0.355
Long of Asc Node:       51.05101 +/-     0.001
Inclination:            32.36837 +/-     0.000
Eccentricity:         0.04025789 +/-    0.0001
Semi-Major Axis:     40.93233056 +/-    0.0040
Time of Perihelion: 2454454.3459 +/-      86.7
Perihelion:          39.28448117 +/-    0.0053
Aphelion:            42.58017996 +/-    0.0056
Period (y)              261.8834 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           27.17221138 +/-    0.0007
Ecliptic Y          -19.10399775 +/-    0.0005
Ecliptic Z          -21.00645791 +/-    0.0006
Ecliptic XDOT         0.00166311 +/-    0.0000
Ecliptic YDOT         0.00224894 +/-    0.0000
Ecliptic ZDOT         0.00007627 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.30092619 +/-    0.0006
Geocenter to KBO     38.44926624 +/-    0.0010
# Hcoef:  7.29

The following table shows the complete astrometric record for 13QR99. 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 (13QR99) followed by the observatory code and reference code for the source of the astrometry.

2013 08  16.249011 22 47 35.022  -43 50 25.88  23.0i 13QR99    W84  C~3wop      
2013 08  16.251777 22 47 35.008  -43 50 25.94  22.9i 13QR99    W84  C~3wop      
2013 08  16.253154 22 47 34.999  -43 50 26.13  23.2i 13QR99    W84  C~3wop      
2013 08  16.254543 22 47 34.980  -43 50 26.08  23.2i 13QR99    W84  C~3wop      
2013 08  16.257321 22 47 34.965  -43 50 26.32  23.2i 13QR99    W84  C~3wop      
2013 08  16.258687 22 47 34.960  -43 50 26.25  23.1i 13QR99    W84  C~3wop      
2013 08  16.261430 22 47 34.944  -43 50 26.38  23.0i 13QR99    W84  C~3wop      
2013 08  16.265550 22 47 34.915  -43 50 26.54  22.8z 13QR99    W84  C~3wop      
2013 08  16.268293 22 47 34.902  -43 50 26.60  22.9z 13QR99    W84  C~3wop      
2013 08  16.269659 22 47 34.890  -43 50 26.61  22.7z 13QR99    W84  C~3wop      
2013 08  16.271036 22 47 34.879  -43 50 26.72  22.9z 13QR99    W84  C~3wop      
2013 08  16.273779 22 47 34.867  -43 50 26.74  23.0z 13QR99    W84  C~3wop      
2013 08  16.275168 22 47 34.856  -43 50 26.85  22.8z 13QR99    W84  C~3wop      
2013 08  16.277911 22 47 34.832  -43 50 26.86  22.8z 13QR99    W84  C~3wop      
2013 09  02.177541 22 45 44.996  -43 58 13.44  24.1g 13QR99    W84  C~3wop      
2013 09  24.070434 22 43 24.314  -44 01 35.31  24.2g 13QR99    W84  C~3wop      
2013 09  24.071800 22 43 24.280  -44 01 35.25  23.4r 13QR99    W84  C~3wop      
2013 10  04.040266 22 42 27.05   -44 00 22.5   23.2r 13QR99    W84  C~55NU      
2013 10  12.193999 22 41 45.661  -43 58 06.01  23.0i 13QR99    W84  C~3wop      
2013 10  12.195377 22 41 45.656  -43 58 05.92        13QR99    W84  C~3wop      
2014 08  21.232326 22 54 23.50   -43 08 05.2   23.3r 13QR99    W84  C~55NU      
2014 09  03.197650 22 52 59.79   -43 13 55.3   22.8i 13QR99    W84  C~55NU      
2015 10  30.03789  22 55 01.112  -42 22 23.31  23.3r 13QR99    W84  C~55NU      
2017 08  16.249016 23 15 40.91   -40 40 24.9         13QR99    W84  C~4qKz      
2017 08  16.250394 23 15 40.93   -40 40 24.9         13QR99    W84  C~4qKz      
2017 08  16.251771 23 15 40.88   -40 40 25.2         13QR99    W84  C~4qKz      
2017 10  21.07112  23 09 17.142  -40 52 17.05  23.1i 13QR99    W84  C~55NU      
2018 10  28.19753  23 15 26.134  -40 00 02.57  23.0i 13QR99    W84  C~55NU      

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     0.05
     2   0.0000      0.00     0.07       0.00     0.08
     3   0.0000      0.00     0.06       0.00    -0.06
     4   0.0000      0.00    -0.09       0.00     0.04
     5   0.0000      0.00    -0.05       0.00    -0.10
     6   0.0000      0.00     0.01       0.00     0.01
     7   0.0000      0.00     0.03       0.00    -0.02
     8   0.0000      0.00    -0.01       0.00    -0.04
     9   0.0001      0.00     0.06       0.00    -0.01
    10   0.0001      0.00     0.01       0.00     0.03
    11   0.0001      0.00    -0.03       0.00    -0.03
    12   0.0001      0.00     0.06       0.00     0.04
    13   0.0001      0.00     0.02       0.00    -0.02
    14   0.0001      0.00    -0.07       0.00     0.06
    15   0.0463      0.00    -0.17       0.00     0.12
    16   0.1063      0.00     0.26       0.00    -0.04
    17   0.1063      0.00    -0.13       0.00     0.02
    18   0.1336      0.00    -0.07       0.00     0.17
    19   0.1559      0.00     0.09       0.00    -0.18
    20   0.1559      0.00     0.12       0.00    -0.12
    21   1.0130      0.00    -0.07       0.00     0.05
    22   1.0485      0.00    -0.06       0.00    -0.03
    23   2.2034      0.00     0.01       0.00     0.19
    24   4.0000      0.00     0.01       0.00    -0.03
    25   4.0000      0.00     0.43       0.00     0.02
    26   4.0000      0.00    -0.20       0.00    -0.22
    27   4.1802      0.00    -0.02       0.00     0.06
    28   5.1990      0.00    -0.12       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.

13QR99    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        41.083    41.083    41.083
ecceobj         0.044     0.044     0.044
incobj         32.395    32.395    32.395
qmin           38.855    38.838    38.867
qmax           43.529    43.529    43.568
amean          41.092    41.091    41.092
amin           40.786    40.781    40.784
amax           41.398    41.413    41.414
emean           0.041     0.041     0.041
emin            0.030     0.030     0.030
emax            0.052     0.052     0.052
imean          31.366    31.366    31.366
imin           31.075    31.075    31.074
imax           31.648    31.651    31.655
excite_mean     0.522     0.522     0.522
fracstop        1.000     1.000     1.000
cjmean          2.726     2.726     2.726

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       183.0     182.3     182.6
kozaiamp        179.9     179.9     180.0