Orbit Fit and Astrometric record for 15GP50

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: 15GP50    
# Created Tue Nov 30 02:13:18 2021
# Orbit generated from Bernstein formalism
# Fitting     13 observations of     13
# Arc:   1.05y
# First observation: 2015/04/14
#  Last observation: 2016/05/03
Preliminary a, adot, b, bdot, g, gdot:
   0.000006   0.009098  -0.000003   0.003597   0.014813   0.000000
# Chi-squared of fit:    92.67 DOF:     20 RMS:  0.47
# Min/Max residuals:    -0.97    0.71
# Exact a, adot, b, bdot, g, gdot:
  7.535534E-06  9.095400E-03  3.678905E-06  3.594444E-03  1.487611E-02 -1.406892E-03
# Covariance matrix:
  2.7307E-13  1.0193E-13 -1.6776E-14  1.6655E-13  4.9204E-13  4.2899E-11
  1.0193E-13  3.5633E-12 -9.9732E-14  1.3240E-12  2.6742E-12  3.4089E-10
 -1.6776E-14 -9.9732E-14  2.0650E-13 -2.7014E-13 -1.2285E-13 -1.2336E-11
  1.6655E-13  1.3240E-12 -2.7014E-13  1.1546E-12  1.3125E-12  1.5416E-10
  4.9204E-13  2.6742E-12 -1.2285E-13  1.3125E-12  3.5334E-12  3.3802E-10
  4.2899E-11  3.4089E-10 -1.2336E-11  1.5416E-10  3.3802E-10  3.9693E-08
#      lat0       lon0       xBary       yBary       zBary        JD0
  -11.398943 -163.710145   -0.128517   -0.195846   -0.972184  2457126.564148
# Heliocentric elements and errors
Epoch:              2457120.5000  =  2015/04/08
Mean Anomaly:          217.16222 +/-     3.131
Argument of Peri:      128.99053 +/-     3.001
Long of Asc Node:      222.62712 +/-     0.005
Inclination:            24.19980 +/-     0.004
Eccentricity:         0.26949612 +/-    0.0058
Semi-Major Axis:     55.24649750 +/-    0.1977
Time of Perihelion: 2516631.3483 +/-    1264.7
Perihelion:          40.35778090 +/-    0.3532
Aphelion:            70.13521410 +/-    0.4085
Period (y)              410.6439 +/-      2.20
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -64.16948433 +/-    0.0080
Ecliptic Y          -18.88534073 +/-    0.0023
Ecliptic Z          -13.28545007 +/-    0.0017
Ecliptic XDOT         0.00058449 +/-    0.0000
Ecliptic YDOT        -0.00157817 +/-    0.0000
Ecliptic ZDOT         0.00069974 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   68.19737529 +/-    0.0076
Geocenter to KBO     67.22187058 +/-    0.0085
# Hcoef:  6.47

The following table shows the complete astrometric record for 15GP50. 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 (15GP50) followed by the observatory code and reference code for the source of the astrometry.

2015 04  14.06337  12 41 49.664  -16 54 00.57        15GP50    807  C~1u6P      
2015 04  14.14229  12 41 49.441  -16 53 59.01        15GP50    807  C~1u6P      
2015 04  14.23919  12 41 49.150  -16 53 57.02  24.8r 15GP50    807  C~1u6P      
2015 04  18.10410  12 41 37.864  -16 52 31.56        15GP50    304  C~1u6P      
2015 04  18.26960  12 41 37.374  -16 52 27.81  24.6r 15GP50    304  C~1u6P      
2015 04  19.28146  12 41 34.559  -16 52 04.79        15GP50    304  C~1u6P      
2015 06  16.03089  12 39 45.834  -16 32 01.45  24.7r 15GP50    I11  C~1u6P      
2015 06  17.98910  12 39 44.820  -16 31 31.17        15GP50    I11  C~1u6P      
2016 03  08.33318  12 45 56.138  -17 05 59.41        15GP50    304  C~1u6P      
2016 03  08.38582  12 45 56.027  -17 05 58.83        15GP50    304  C~1u6P      
2016 03  09.38467  12 45 53.280  -17 05 45.30        15GP50    304  C~1u6P      
2016 05  03.03958  12 43 16.369  -16 47 47.81  24.8r 15GP50    304  C~1u6P      
2016 05  03.11111  12 43 16.218  -16 47 46.11        15GP50    304  C~1u6P      

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     0.44       0.00     0.03
     2   0.0002     -3.56     0.65       0.15    -0.04
     3   0.0005     -8.18     0.66       0.31    -0.17
     4   0.0111   -190.82    -0.83      14.01    -0.23
     5   0.0115   -198.76    -0.97      14.64    -0.20
     6   0.0143   -245.00    -0.19      19.61     0.71
     7   0.1724  -2158.29     0.08     496.88     0.01
     8   0.1778  -2183.80     0.17     518.77    -0.42
     9   0.9015   3531.03    -0.12     742.55     0.58
    10   0.9016   3529.34     0.37     742.46     0.65
    11   0.9044   3487.80    -0.15     739.36     0.47
    12   1.0540    993.38    -0.25     837.60    -0.82
    13   1.0542    990.72     0.14     838.30    -0.56

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.

15GP50    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        54.803    55.495    54.354
ecceobj         0.279     0.299     0.266
incobj         24.323    24.328    24.317
qmin           39.056    38.575    39.483
qmax           71.817    73.924    70.402
amean          55.081    55.820    54.643
amin           54.512    55.222    54.116
amax           55.735    56.525    55.279
emean           0.272     0.290     0.260
emin            0.256     0.273     0.246
emax            0.289     0.308     0.275
imean          25.094    25.193    25.020
imin           24.674    24.748    24.640
imax           25.560    25.719    25.428
excite_mean     0.504     0.515     0.497
fracstop        1.000     1.000     1.000
cjmean          2.904     2.897     2.908

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       203.6     200.1     198.5
kozaiamp        179.9     179.9     179.9