Orbit Fit and Astrometric record for 13PS76

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: 13PS76    
# Created Tue Oct 16 06:36:58 2018
# Orbit generated from Bernstein formalism
# Fitting   39 observations of   39
# Arc:   4.06y
# First observation: 2013/08/09
#  Last observation: 2017/08/30
Preliminary a, adot, b, bdot, g, gdot:
  -0.000028   0.019195   0.000002   0.000187   0.021701   0.000000
# Chi-squared of fit:     9.78 DOF:   72 RMS:  0.09
# Min/Max residuals:    -0.30    0.22
# Exact a, adot, b, bdot, g, gdot:
  1.377526E-05  1.899407E-02  4.682495E-07  1.839789E-04  2.156274E-02 -1.919802E-03
# Covariance matrix:
  1.3079E-13 -4.9309E-14 -5.5079E-16 -5.3166E-17  4.9220E-14 -2.9624E-13
 -4.9309E-14  1.2760E-13 -1.0325E-15  1.3706E-15  5.6832E-14  1.7174E-12
 -5.5079E-16 -1.0325E-15  7.6153E-14 -3.6109E-14 -1.3766E-15 -1.8102E-14
 -5.3166E-17  1.3706E-15 -3.6109E-14  3.3446E-14  9.7791E-16  2.4851E-14
  4.9220E-14  5.6832E-14 -1.3766E-15  9.7791E-16  9.6249E-14  9.7666E-13
 -2.9624E-13  1.7174E-12 -1.8102E-14  2.4851E-14  9.7666E-13  3.1379E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.532677   27.245343    0.957153    0.015036   -0.339212  2456513.999868
# Heliocentric elements and errors
Epoch:              2456510.5000  =  2013/08/06
Mean Anomaly:          247.33664 +/-     0.066
Argument of Peri:      202.78426 +/-     0.061
Long of Asc Node:      309.82238 +/-     0.012
Inclination:             2.58782 +/-     0.000
Eccentricity:         0.14145127 +/-    0.0002
Semi-Major Axis:     43.66677845 +/-    0.0031
Time of Perihelion: 2489494.6543 +/-      19.1
Perihelion:          37.49005729 +/-    0.0103
Aphelion:            49.84349961 +/-    0.0106
Period (y)              288.5592 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           41.93045025 +/-    0.0006
Ecliptic Y           20.51796363 +/-    0.0003
Ecliptic Z            2.04939287 +/-    0.0000
Ecliptic XDOT        -0.00132772 +/-    0.0000
Ecliptic YDOT         0.00203129 +/-    0.0000
Ecliptic ZDOT         0.00001271 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   46.72632557 +/-    0.0006
Geocenter to KBO     46.37630460 +/-    0.0007
# Hcoef:  7.61

The following table shows the complete astrometric record for 13PS76. 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 (13PS76) followed by the observatory code and reference code for the source of the astrometry.

2013 08  09.49909  01 37 24.929  +12 51 14.50  24.6r 13PS76    568  C~2SD5      
2013 08  09.54251  01 37 24.874  +12 51 14.38  24.0r 13PS76    568  C~2SD5      
2013 09  02.41721  01 36 38.846  +12 48 07.65  24.1r 13PS76    568  C~2SD5      
2013 09  02.46053  01 36 38.735  +12 48 07.13  24.0r 13PS76    568  C~2SD5      
2013 09  03.43655  01 36 36.036  +12 47 54.33  24.2r 13PS76    568  C~2SD5      
2013 09  03.48318  01 36 35.900  +12 47 53.73  24.7r 13PS76    568  C~2SD5      
2013 10  08.49603  01 34 28.970  +12 36 51.61  23.5r 13PS76    568  C~2SD5      
2013 11  01.49022  01 32 47.566  +12 27 09.32  24.5r 13PS76    568  C~2SD5      
2013 11  28.26487  01 31 09.938  +12 17 03.01  24.3r 13PS76    568  C~2SD5      
2013 12  04.38623  01 30 52.607  +12 15 07.79  24.2r 13PS76    568  C~2SD5      
2013 12  29.24699  01 30 09.694  +12 09 42.87  24.2r 13PS76    568  C~2SD5      
2013 12  29.25183  01 30 09.670  +12 09 43.01  23.8r 13PS76    568  C~2SD5      
2013 12  30.34280  01 30 08.893  +12 09 34.57        13PS76    568  C~2SD5      
2014 01  02.23377  01 30 07.358  +12 09 15.70  24.2r 13PS76    568  C~2SD5      
2014 01  02.36222  01 30 07.281  +12 09 15.16  24.2r 13PS76    568  C~2SD5      
2014 01  03.24172  01 30 06.978  +12 09 10.16  25.1r 13PS76    568  C~2SD5      
2014 07  26.51389  01 41 40.411  +13 15 09.07  23.7r 13PS76    568  C~2SD5      
2014 07  26.55715  01 41 40.417  +13 15 09.42  24.1r 13PS76    568  C~2SD5      
2014 07  26.60045  01 41 40.415  +13 15 09.51  24.7r 13PS76    568  C~2SD5      
2014 08  24.45000  01 41 12.142  +13 14 10.22  24.2r 13PS76    568  C~2SD5      
2014 08  24.52394  01 41 11.984  +13 14 09.60  24.9r 13PS76    568  C~2SD5      
2014 08  30.42828  01 40 58.548  +13 13 11.88  24.0r 13PS76    568  C~2SD5      
2014 09  18.45522  01 40 00.737  +13 08 33.59  23.8r 13PS76    568  C~2SD5      
2014 09  18.49795  01 40 00.580  +13 08 32.88  24.2r 13PS76    568  C~2SD5      
2014 09  23.49621  01 39 42.316  +13 06 59.24  23.8r 13PS76    568  C~2SD5      
2014 10  22.32309  01 37 43.449  +12 56 11.23  24.5r 13PS76    568  C~2SD5      
2014 10  22.36779  01 37 43.256  +12 56 10.20  24.0r 13PS76    568  C~2SD5      
2014 10  23.46129  01 37 38.555  +12 55 43.41  24.1r 13PS76    568  C~2SD5      
2014 10  25.47724  01 37 29.948  +12 54 53.98  24.1r 13PS76    568  C~2SD5      
2014 11  20.20843  01 35 47.520  +12 44 42.53  24.2r 13PS76    568  C~2SD5      
2014 11  20.34891  01 35 47.014  +12 44 39.28  23.9r 13PS76    568  C~2SD5      
2014 11  21.41395  01 35 43.270  +12 44 15.64  24.3r 13PS76    568  C~2SD5      
2015 01  28.27142  01 34 29.496  +12 33 43.03  24.1r 13PS76    568  C~2SD5      
2015 02  18.23954  01 35 22.091  +12 37 36.67  23.9r 13PS76    568  C~2SD5      
2015 12  07.42846  01 39 06.478  +13 03 38.12  24.0w 13PS76    568  C~2SD5      
2017 01  27.26476  01 42 43.188  +13 21 45.64  24.9w 13PS76    568  C~2SD5      
2017 01  28.26052  01 42 44.696  +13 21 50.53  24.1w 13PS76    568  C~2SD5      
2017 08  25.59230  01 53 52.054  +14 25 57.65  24.3w 13PS76    568  C~2SD5      
2017 08  30.61365  01 53 41.327  +14 25 15.20  24.4w 13PS76    568  C~2SD5      

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     0.03       0.00    -0.07
  2   0.0001     -0.79    -0.06       0.18    -0.05
  3   0.0655   -695.84    -0.08      70.62    -0.00
  4   0.0656   -697.54     0.07      70.72    -0.03
  5   0.0683   -738.97     0.07      73.15    -0.09
  6   0.0684   -741.05     0.05      73.31    -0.07
  7   0.1643  -2712.09    -0.04     133.57    -0.01
  8   0.2300  -4307.47    -0.20     135.32     0.19
  9   0.3033  -5861.57     0.05      97.22    -0.08
 10   0.3200  -6140.42    -0.02      83.67     0.06
 11   0.3881  -6845.74     0.22      13.66    -0.13
 12   0.3881  -6846.02     0.01      13.92     0.15
 13   0.3911  -6859.74    -0.11      10.28    -0.09
 14   0.3990  -6887.65     0.08       1.05    -0.10
 15   0.3994  -6888.90    -0.06       0.96     0.20
 16   0.4018  -6894.88     0.07      -2.04     0.04
 17   0.9610   3999.83    -0.02      -8.95    -0.08
 18   0.9611   4000.04     0.05      -8.66     0.05
 19   0.9613   4000.05    -0.07      -8.56    -0.02
 20   1.0402   3593.33     0.04      84.33    -0.03
 21   1.0405   3590.96     0.04      84.58    -0.03
 22   1.0566   3387.07     0.03     101.22     0.02
 23   1.1087   2498.99     0.04     145.47    -0.07
 24   1.1088   2496.59     0.03     145.63    -0.00
 25   1.1225   2213.94    -0.04     154.47    -0.03
 26   1.2014    359.96     0.01     178.35     0.08
 27   1.2016    356.96     0.06     178.41     0.12
 28   1.2046    283.19    -0.09     178.36     0.10
 29   1.2101    148.00     0.05     177.92    -0.03
 30   1.2805  -1469.87     0.01     152.72     0.16
 31   1.2809  -1477.95    -0.05     152.39     0.01
 32   1.2838  -1537.58    -0.30     150.32    -0.22
 33   1.4696  -2773.83    -0.01     -44.80     0.12
 34   1.5270  -1971.62     0.11    -108.27     0.05
 35   2.3270   1652.99     0.11     155.88    -0.07
 36   3.4682   4997.93     0.03      32.93     0.05
 37   3.4709   5020.24    -0.06      29.62     0.01
 38   4.0441  15497.78     0.02     205.63    -0.05
 39   4.0578  15336.00    -0.02     219.93    -0.05

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.

13PS76    quality flag:2

Type:       SCATNEAR  SCATNEAR CLASSICAL

axisobj        43.856    43.864    43.847
ecceobj         0.136     0.137     0.136
incobj          2.586     2.586     2.586
qmin           35.617    36.881    36.195
qmax           52.562    51.165    51.400
amean          43.807    43.632    43.615
amin           43.213    43.247    43.219
amax           44.290    44.253    44.056
emean           0.128     0.098     0.129
emin            0.090     0.067     0.094
emax            0.187     0.156     0.168
imean           4.797     4.645     5.147
imin            3.632     3.292     3.544
imax            5.841     5.668     6.840
excite_mean     0.154     0.128     0.158
fracstop        1.000     1.000     1.000
cjmean          3.069     3.077     3.066

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       184.1     181.2     178.4
kozaiamp        179.9     180.0     180.0