Orbit Fit and Astrometric record for 12US177

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: 12US177   
# Created Fri Oct 20 01:38:14 2017
# Orbit generated from Bernstein formalism
# Fitting   25 observations of   25
# Arc:   1.47y
# First observation: 2011/08/31
#  Last observation: 2013/02/17
Preliminary a, adot, b, bdot, g, gdot:
  -0.000084   0.032598  -0.000065  -0.005077   0.027549   0.000000
# Chi-squared of fit:     6.38 DOF:   44 RMS:  0.09
# Min/Max residuals:    -0.19    0.18
# Exact a, adot, b, bdot, g, gdot:
  1.854141E-05  3.267815E-02 -2.491450E-06 -5.234000E-03  2.773492E-02  4.900278E-03
# Covariance matrix:
  6.6112E-13  2.4062E-13  5.8915E-14 -2.3655E-13  6.3106E-13  2.6792E-11
  2.4062E-13  1.2931E-12  1.0362E-13 -4.1853E-13  1.1351E-12  4.7546E-11
  5.8915E-14  1.0362E-13  3.6829E-13 -3.5464E-13  1.1535E-13  5.4463E-12
 -2.3655E-13 -4.1853E-13 -3.5464E-13  5.0729E-13 -4.7262E-13 -2.1445E-11
  6.3106E-13  1.1351E-12  1.1535E-13 -4.7262E-13  1.3312E-12  5.4069E-11
  2.6792E-11  4.7546E-11  5.4463E-12 -2.1445E-11  5.4069E-11  2.4049E-09
#      lat0       lon0       xBary       yBary       zBary        JD0
   15.150082   33.833485    0.836811    0.146088   -0.539631  2455805.110056
# Heliocentric elements and errors
Epoch:              2455800.5000  =  2011/08/27
Mean Anomaly:           11.50989 +/-     0.106
Argument of Peri:       92.85073 +/-     0.268
Long of Asc Node:      271.82845 +/-     0.003
Inclination:            17.20387 +/-     0.001
Eccentricity:         0.37301809 +/-    0.0009
Semi-Major Axis:     56.70193857 +/-    0.0422
Time of Perihelion: 2450814.3675 +/-      45.6
Perihelion:          35.55108959 +/-    0.0569
Aphelion:            77.85278755 +/-    0.0767
Period (y)              426.9776 +/-      0.48
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           29.84266623 +/-    0.0012
Ecliptic Y           18.99482547 +/-    0.0008
Ecliptic Z            9.42300465 +/-    0.0004
Ecliptic XDOT        -0.00129923 +/-    0.0000
Ecliptic YDOT         0.00302010 +/-    0.0000
Ecliptic ZDOT        -0.00037223 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.60848452 +/-    0.0011
Geocenter to KBO     36.05562962 +/-    0.0015
# Hcoef:  8.73

The following table shows the complete astrometric record for 12US177. 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 (12US177) followed by the observatory code and reference code for the source of the astrometry.

2011 08  31.60929  01 43 33.169  +26 58 20.30        12US177   568  C~1CL9      
2011 09  05.51527  01 43 17.043  +26 58 26.31  24.3r 12US177   568  C~1CL9      
2011 11  24.40211  01 36 39.395  +26 24 36.89  24.2r 12US177   568  C~1CL9      
2011 12  01.43672  01 36 11.391  +26 19 52.08  24.4r 12US177   568  C~1CL9      
2012 01  28.27620  01 35 33.979  +25 50 10.70  24.9r 12US177   568  C~1CL9      
2012 08  18.56522  01 52 19.617  +27 20 35.61        12US177   568  C~1CL9      
2012 08  23.51180  01 52 10.204  +27 21 30.85  24.3r 12US177   568  C~1CL9      
2012 08  23.52043  01 52 10.181  +27 21 30.92  24.4r 12US177   568  C~1CL9      
2012 08  24.47891  01 52 08.063  +27 21 39.52  24.4r 12US177   568  C~1CL9      
2012 08  28.45470  01 51 58.324  +27 22 08.68  24.2r 12US177   568  C~1CL9      
2012 08  28.49840  01 51 58.187  +27 22 08.95        12US177   568  C~1CL9      
2012 08  28.54123  01 51 58.083  +27 22 09.18  24.1r 12US177   568  C~1CL9      
2012 09  14.47302  01 51 00.272  +27 22 05.12  24.3r 12US177   568  C~1CL9      
2012 10  20.42963  01 47 57.983  +27 10 57.08  24.2r 12US177   568  C~1CL9      
2012 10  21.41369  01 47 52.480  +27 10 27.67  24.1r 12US177   568  C~1CL9      
2012 10  21.45226  01 47 52.261  +27 10 26.64  24.4r 12US177   568  C~1CL9      
2012 10  21.49068  01 47 52.038  +27 10 25.36  24.1r 12US177   568  C~1CL9      
2012 11  14.40182  01 45 43.082  +26 56 31.47  24.4r 12US177   568  C~1CL9      
2012 11  16.32639  01 45 33.587  +26 55 17.18  24.2r 12US177   568  C~1CL9      
2013 01  14.24596  01 43 16.888  +26 20 19.68  24.2r 12US177   568  C~1CL9      
2013 01  14.30364  01 43 16.928  +26 20 18.31  24.4r 12US177   568  C~1CL9      
2013 02  03.31096  01 43 57.763  +26 14 10.57  24.1r 12US177   568  C~1CL9      
2013 02  09.26083  01 44 18.591  +26 13 13.08  24.4r 12US177   568  C~1CL9      
2013 02  14.25904  01 44 38.976  +26 12 44.24  24.0r 12US177   568  C~1CL9      
2013 02  17.25617  01 44 52.414  +26 12 35.62  24.3r 12US177   568  C~1CL9      

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     0.02       0.00    -0.10
  2   0.0134   -197.96    -0.04      85.56     0.05
  3   0.2322  -5900.42     0.05     216.73    -0.04
  4   0.2514  -6357.64    -0.09      98.07    -0.06
  5   0.4098  -7509.39     0.07   -1353.35     0.01
  6   0.9663   7034.81     0.18   -1304.02    -0.06
  7   0.9799   6937.01     0.17   -1207.83     0.10
  8   0.9799   6936.75     0.12   -1207.65     0.11
  9   0.9825   6913.39     0.01   -1189.59     0.06
 10   0.9934   6802.32     0.05   -1116.22     0.07
 11   0.9935   6800.71    -0.17   -1115.32     0.15
 12   0.9937   6799.50    -0.00   -1114.61     0.06
 13   1.0400   6077.68    -0.19    -844.05     0.12
 14   1.1385   3568.33    -0.04    -592.86     0.01
 15   1.1411   3489.20    -0.07    -593.63    -0.12
 16   1.1413   3486.11    -0.01    -593.53    -0.01
 17   1.1414   3482.87    -0.10    -593.65    -0.10
 18   1.2068   1574.46    -0.06    -741.69    -0.17
 19   1.2121   1429.07    -0.08    -764.21     0.08
 20   1.3734  -1048.82     0.05   -2036.98    -0.07
 21   1.3736  -1048.83     0.02   -2038.45     0.02
 22   1.4283   -675.03     0.11   -2583.60     0.10
 23   1.4446   -435.87     0.03   -2740.65    -0.02
 24   1.4583   -191.53    -0.05   -2868.71    -0.09
 25   1.4665    -26.58     0.01   -2943.39    -0.09

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.

12US177    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        56.877    57.017    56.741
ecceobj         0.375     0.378     0.372
incobj         17.206    17.206    17.207
qmin           34.719    34.946    35.029
qmax           78.820    78.562    78.519
amean          56.169    56.189    56.211
amin           55.414    55.478    55.401
amax           57.075    57.049    57.135
emean           0.364     0.359     0.360
emin            0.345     0.342     0.340
emax            0.382     0.378     0.376
imean          19.005    19.131    19.233
imin           18.203    18.320    18.525
imax           19.786    20.020    20.066
excite_mean     0.488     0.487     0.488
fracstop        1.000     1.000     1.000
cjmean          2.942     2.944     2.943

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       175.1     175.6     176.1
kozaiamp        180.0     180.0     180.0