Orbit Fit and Astrometric record for 15GQ50

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: 15GQ50    
# Created Fri Mar 29 01:17:47 2024
# Orbit generated from Bernstein formalism
# Fitting     14 observations of     15
# Arc:   4.15y
# First observation: 2015/04/13
#  Last observation: 2019/06/06
Preliminary a, adot, b, bdot, g, gdot:
   0.000014   0.014674  -0.000002  -0.002982   0.018975   0.000000
# Chi-squared of fit:    16.33 DOF:     22 RMS:  0.19
# Min/Max residuals:    -0.39    0.38
# Exact a, adot, b, bdot, g, gdot:
  1.151869E-05  1.480043E-02 -3.105646E-06 -3.008572E-03  1.911459E-02  9.566993E-04
# Covariance matrix:
  2.2922E-13 -5.6806E-13 -2.1996E-14  1.4544E-13  1.3821E-13 -1.1836E-11
 -5.6806E-13  3.8515E-12  1.5264E-13 -1.0245E-12 -2.6232E-13  8.3252E-11
 -2.1996E-14  1.5264E-13  1.4285E-13 -8.1925E-14 -1.4753E-14  3.3572E-12
  1.4544E-13 -1.0245E-12 -8.1925E-14  3.3023E-13  8.7491E-14 -2.2501E-11
  1.3821E-13 -2.6232E-13 -1.4753E-14  8.7491E-14  5.5522E-13 -7.1993E-12
 -1.1836E-11  8.3252E-11  3.3572E-12 -2.2501E-11 -7.1993E-12  1.8288E-09
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.168581 -154.442714    0.048865   -0.020210   -0.998327  2457125.629458
# Heliocentric elements and errors
Epoch:              2457120.5000  =  2015/04/08
Mean Anomaly:          153.27687 +/-     0.837
Argument of Peri:       25.37328 +/-     0.824
Long of Asc Node:       19.86833 +/-     0.001
Inclination:            11.52250 +/-     0.001
Eccentricity:         0.16315720 +/-    0.0006
Semi-Major Axis:     46.35735571 +/-    0.0236
Time of Perihelion: 2408035.3026 +/-     265.5
Perihelion:          38.79381924 +/-    0.0332
Aphelion:            53.92089217 +/-    0.0383
Period (y)              315.6357 +/-      0.24
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -48.11220384 +/-    0.0018
Ecliptic Y          -22.95210405 +/-    0.0009
Ecliptic Z           -1.06711210 +/-    0.0000
Ecliptic XDOT         0.00079570 +/-    0.0000
Ecliptic YDOT        -0.00197375 +/-    0.0000
Ecliptic ZDOT        -0.00043355 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   53.31718266 +/-    0.0017
Geocenter to KBO     52.31606010 +/-    0.0020
# Hcoef:  7.02

The following table shows the complete astrometric record for 15GQ50. 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 (15GQ50) followed by the observatory code and reference code for the source of the astrometry.

2015 04  13.12868  13 33 01.336  -10 58 09.26  24.0r 15GQ50    807  C~1x8u      
2015 04  13.21692  13 33 00.997  -10 58 07.35        15GQ50    807  C~1x8u      
2015 04  13.31061  13 33 00.648  -10 58 05.84        15GQ50    807  C~1x8u      
2015 04  18.11049  13 32 42.457  -10 56 29.61        15GQ50    304  C~1x8u      
2015 04  18.27813  13 32 41.795  -10 56 26.07  23.9r 15GQ50    304  C~1x8u      
2015 04  19.29706  13 32 37.943  -10 56 05.64        15GQ50    304  C~1x8u      
2015 05  22.09990  13 30 44.158  -10 45 49.88        15GQ50    304  C~1x8u      
2015 05  22.16487  13 30 43.960  -10 45 48.91        15GQ50    304  C~1x8u      
2015 05  23.08627  13 30 41.263  -10 45 33.93        15GQ50    304  C~1x8u      
2015 07  21.00164  13 29 30.491  -10 39 12.97        15GQ50    304  C~1x8u      
2015 07  21.06054  13 29 30.458  -10 39 13.22        15GQ50    304  C~1x8u      
2016 03  08.36395  13 38 00.121  -11 36 25.26        15GQ50    304  C~1x8u      
2016 03  09.36409  13 37 57.205  -11 36 11.30        15GQ50    304  C~1x8u      
2019 06  06.197260 13 41 53.992  -12 33 53.34  24.5G 15GQ50    G37  C~36q7      
2019 06  06.268240 13 41 53.828  -12 33 52.10        15GQ50    G37  C~36q7      

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     0.15       0.00     0.13
     2   0.0002     -5.34     0.09      -0.05     0.27
     3   0.0005    -10.68     0.38      -0.52    -0.01
     4   0.0136   -295.21    -0.09      -8.91    -0.13
     5   0.0141   -305.58    -0.39      -9.18    -0.07
     6   0.0169   -365.85    -0.36     -10.92    -0.11
     7   0.1067  -2151.23     0.08     -52.48    -0.03
     8   0.1069  -2154.30     0.08     -52.65    -0.12
     9   0.1094  -2196.77    -0.01     -53.32     0.03
    10   0.2707  -3307.07 (   1.06)    -82.68 (   0.18)
    11   0.2709  -3307.43     0.02     -83.09    -0.20
    12   0.9041   4929.99     0.38    -541.05     0.06
    13   0.9069   4884.97    -0.32    -543.53     0.24
    14   4.1480   9377.27    -0.02   -2525.52    -0.18
    15   4.1482   9374.58     0.00   -2525.22     0.13

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.

15GQ50    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        45.965    46.036    45.898
ecceobj         0.172     0.173     0.171
incobj         11.591    11.593    11.590
qmin           37.654    37.682    37.629
qmax           55.232    55.345    55.158
amean          46.230    46.295    46.187
amin           45.837    45.912    45.771
amax           46.707    46.751    46.660
emean           0.168     0.169     0.168
emin            0.154     0.155     0.153
emax            0.184     0.184     0.183
imean          11.080    11.098    11.090
imin           10.516    10.529    10.527
imax           11.636    11.638    11.635
excite_mean     0.255     0.256     0.255
fracstop        1.000     1.000     1.000
cjmean          3.049     3.049     3.048

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       175.2     175.0     175.2
kozaiamp        180.0     180.0     180.0