Orbit Fit and Astrometric record for 15GS50

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: 15GS50    
# Created Thu Jul 19 01:38:23 2018
# Orbit generated from Bernstein formalism
# Fitting   18 observations of   18
# Arc:   2.99y
# First observation: 2015/04/13
#  Last observation: 2018/04/10
Preliminary a, adot, b, bdot, g, gdot:
  -0.000044   0.014433   0.000000  -0.000088   0.018438   0.000000
# Chi-squared of fit:    11.43 DOF:   30 RMS:  0.14
# Min/Max residuals:    -0.36    0.27
# Exact a, adot, b, bdot, g, gdot:
  1.251274E-05  1.429036E-02 -6.333048E-09 -8.710584E-05  1.859184E-02 -2.941441E-03
# Covariance matrix:
  1.5509E-13 -3.1541E-13 -5.1288E-16  1.3939E-15  7.3027E-14 -5.9291E-12
 -3.1541E-13  2.9627E-12  2.8459E-15 -1.6053E-14  2.6148E-13  6.6108E-11
 -5.1288E-16  2.8459E-15  1.0385E-13 -4.5487E-14 -6.6659E-16  6.2816E-14
  1.3939E-15 -1.6053E-14 -4.5487E-14  9.3273E-14 -1.9018E-15 -3.7112E-13
  7.3027E-14  2.6148E-13 -6.6659E-16 -1.9018E-15  3.9254E-13  7.1185E-12
 -5.9291E-12  6.6108E-11  6.2816E-14 -3.7112E-13  7.1185E-12  1.5262E-09
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.711458 -135.029388    0.377150   -0.027503   -0.925468  2457125.681508
# Heliocentric elements and errors
Epoch:              2457120.5000  =  2015/04/08
Mean Anomaly:          245.93157 +/-     0.394
Argument of Peri:       34.99670 +/-     0.339
Long of Asc Node:      326.25042 +/-     0.040
Inclination:             1.71793 +/-     0.000
Eccentricity:         0.25011376 +/-    0.0017
Semi-Major Axis:     47.74833210 +/-    0.0317
Time of Perihelion: 2495306.0190 +/-     126.4
Perihelion:          35.80581711 +/-    0.0832
Aphelion:            59.69084709 +/-    0.0890
Period (y)              329.9480 +/-      0.33
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -38.96000902 +/-    0.0013
Ecliptic Y          -38.38442694 +/-    0.0013
Ecliptic Z           -1.60641353 +/-    0.0001
Ecliptic XDOT         0.00179067 +/-    0.0000
Ecliptic YDOT        -0.00118848 +/-    0.0000
Ecliptic ZDOT         0.00000020 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   54.71587611 +/-    0.0013
Geocenter to KBO     53.78702380 +/-    0.0018
# Hcoef:  6.77

The following table shows the complete astrometric record for 15GS50. 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 (15GS50) followed by the observatory code and reference code for the source of the astrometry.

2015 04  13.18073  14 47 54.967  -17 57 46.82  24. r 15GS50    807  C~1x8u      
2015 04  13.18074  14 47 54.97   -17 57 47.2         15GS50    W84  C~2JAh      
2015 04  13.33132  14 47 54.442  -17 57 44.69        15GS50    807  C~1x8u      
2015 04  13.33132  14 47 54.43   -17 57 44.9   24.3V 15GS50    W84  C~2JAh      
2015 04  13.38114  14 47 54.262  -17 57 43.72        15GS50    807  C~1x8u      
2015 04  13.38114  14 47 54.25   -17 57 44.1         15GS50    W84  C~2JAh      
2015 04  18.29584  14 47 36.575  -17 56 29.49        15GS50    304  C~1x8u      
2015 04  18.35570  14 47 36.352  -17 56 28.70  23.7r 15GS50    304  C~1x8u      
2015 04  19.31715  14 47 32.838  -17 56 13.59        15GS50    304  C~1x8u      
2015 05  22.10856  14 45 28.789  -17 47 04.39        15GS50    304  C~1x8u      
2015 05  22.17430  14 45 28.544  -17 47 03.27        15GS50    304  C~1x8u      
2015 05  23.09675  14 45 25.182  -17 46 47.74        15GS50    304  C~1x8u      
2015 07  20.13264  14 43 07.522  -17 35 12.82        15GS50    304  C~1x8u      
2015 07  21.01743  14 43 06.971  -17 35 08.61        15GS50    304  C~1x8u      
2016 03  08.37081  14 52 49.688  -18 18 43.07        15GS50    304  C~1x8u      
2016 03  09.37071  14 52 47.874  -18 18 37.10        15GS50    304  C~1x8u      
2018 04  10.31751  14 58 04.524  -18 42 23.57  23.9R 15GS50    G37  C~2bHQ      
2018 04  10.40183  14 58 04.252  -18 42 22.37        15GS50    G37  C~2bHQ      

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    -0.07       0.00    -0.01
  2   0.0000      0.15     0.08      -0.35    -0.36
  3   0.0004     -7.89     0.06      -0.43    -0.28
  4   0.0004     -7.79     0.16      -0.18    -0.03
  5   0.0005    -10.58     0.02      -0.43    -0.24
  6   0.0005    -10.53     0.07      -0.01     0.18
  7   0.0140   -273.58    -0.07      -3.83     0.01
  8   0.0142   -276.85    -0.04      -4.02    -0.13
  9   0.0168   -329.22     0.08      -4.44     0.07
 10   0.1066  -2183.56    -0.10      -7.26     0.13
 11   0.1068  -2187.23    -0.11      -7.23     0.14
 12   0.1093  -2237.70    -0.24      -6.77     0.14
 13   0.2682  -4323.47     0.14      64.91     0.21
 14   0.2706  -4332.26     0.07      66.54     0.27
 15   0.9040   4385.51    -0.01      28.26     0.01
 16   0.9067   4359.05    -0.03      26.49    -0.05
 17   2.9928   9088.16    -0.12     -52.26    -0.10
 18   2.9931   9084.11     0.13     -52.20     0.06

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.

15GS50    quality flag:3

Type:           2:1E      2:1E      2:1E

axisobj        47.427    47.518    47.342
ecceobj         0.258     0.263     0.254
incobj          1.720     1.720     1.720
qmin           34.593    34.526    35.175
qmax           61.878    61.988    61.523
amean          47.796    47.796    47.796
amin           47.178    47.149    47.128
amax           48.526    48.537    48.564
emean           0.258     0.258     0.250
emin            0.238     0.240     0.234
emax            0.276     0.278     0.267
imean           3.043     3.076     3.077
imin            2.728     2.846     2.847
imax            3.304     3.400     3.335
excite_mean     0.263     0.264     0.255
fracstop        1.000     1.000     1.000
cjmean          3.061     3.060     3.066

libcent 0       179.9     179.8     180.0
libamp  0       148.5     147.2     150.3
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       200.5     192.4     161.1
kozaiamp        179.9     180.0     180.0