Orbit Fit and Astrometric record for 10RN45

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: 10RN45    
# Created Sun Oct 22 01:37:51 2017
# Orbit generated from Bernstein formalism
# Fitting    8 observations of    8
# Arc:  66.08d
# First observation: 2010/09/07
#  Last observation: 2010/11/12
Preliminary a, adot, b, bdot, g, gdot:
  -0.000009   0.025870   0.000011  -0.011029   0.025448   0.000000
# Chi-squared of fit:    30.93 DOF:   10 RMS:  0.35
# Min/Max residuals:    -0.49    0.85
# Exact a, adot, b, bdot, g, gdot:
  1.113057E-05  2.185180E-02 -4.520950E-06 -1.006306E-02  2.489594E-02 -1.513935E-03
# Covariance matrix:
  3.1341E-13  4.5367E-12  9.7523E-15 -1.7030E-12  1.8364E-12  1.5240E-10
  4.5367E-12  9.2143E-09  1.9091E-11 -2.1916E-09  1.3385E-09 -1.4951E-07
  9.7523E-15  1.9091E-11  3.0116E-13 -6.5638E-12  2.7175E-12 -3.3268E-10
 -1.7030E-12 -2.1916E-09 -6.5638E-12  5.7728E-10 -3.2272E-10  3.5017E-08
  1.8364E-12  1.3385E-09  2.7175E-12 -3.2272E-10  2.1180E-10 -1.7057E-08
  1.5240E-10 -1.4951E-07 -3.3268E-10  3.5017E-08 -1.7057E-08  3.8490E-06
#      lat0       lon0       xBary       yBary       zBary        JD0
  -22.837344  -17.059551   -0.021901   -0.389377   -0.924565  2455446.547556
# Heliocentric elements and errors
Epoch:              2455440.5000  =  2010/09/01
Mean Anomaly:          257.34915 +/-    28.072
Argument of Peri:      334.74788 +/-    26.345
Long of Asc Node:      123.37666 +/-     0.109
Inclination:            32.74956 +/-     0.060
Eccentricity:         0.06942380 +/-    0.0731
Semi-Major Axis:     40.30567629 +/-    0.6005
Time of Perihelion: 2482091.1506 +/-    7263.8
Perihelion:          37.50750318 +/-    2.9971
Aphelion:            43.10384939 +/-    3.0138
Period (y)              255.8925 +/-      5.72
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           36.35945299 +/-    0.0207
Ecliptic Y          -11.13431395 +/-    0.0064
Ecliptic Z          -15.58971131 +/-    0.0091
Ecliptic XDOT         0.00014823 +/-    0.0002
Ecliptic YDOT         0.00247470 +/-    0.0001
Ecliptic ZDOT        -0.00095530 +/-    0.0001
# Distances at JD0 (AU)
Heliocenter to KBO   41.09771122 +/-    0.0187
Geocenter to KBO     40.16719003 +/-    0.0235
# Hcoef:  5.88

The following table shows the complete astrometric record for 10RN45. 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 (10RN45) followed by the observatory code and reference code for the source of the astrometry.

2010 09  07.04679  23 35 43.462  -27 37 19.20  21.8R 10RN45    809  C~0MhP      
2010 09  07.13096  23 35 42.993  -27 37 22.62  21.6R 10RN45    809  C~0MhP      
2010 09  07.22931  23 35 42.429  -27 37 25.21  21.8R 10RN45    809  C~0MhP      
2010 09  08.04373  23 35 38.446  -27 37 55.05        10RN45    809  C~0MhP      
2010 09  08.12639  23 35 38.035  -27 37 58.00  21.5R 10RN45    809  C~0MhP      
2010 09  30.22122  23 33 47.47   -27 48 30.8         10RN45    807  C~0NJE      
2010 09  30.27806  23 33 47.22   -27 48 31.3         10RN45    807  C~0NJE      
2010 11  12.13000  23 31 05.59   -27 50 47.82        10RN45    807  C~0ev7      

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     0.57       0.00    -0.39
  2   0.0002     -7.10    -0.12      -0.41    -0.43
  3   0.0005    -14.98    -0.49       0.46     0.85
  4   0.0027    -75.60    -0.02      -3.78    -0.01
  5   0.0030    -81.80     0.07      -4.10    -0.01
  6   0.0634  -1679.57    -0.32      51.18    -0.22
  7   0.0636  -1682.78     0.33      52.14     0.21
  8   0.1809  -3683.57    -0.00     835.84     0.00

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.

10RN45    quality flag:1

Type:       SCATEXTD  CENTAURS      3:2E

axisobj        40.271    44.363    39.615
ecceobj         0.071     0.293     0.046
incobj         32.785    32.607    32.905
qmin           36.453    29.389    34.276
qmax           43.985    64.792    44.802
amean          40.119    45.552    39.458
amin           39.794    43.618    39.140
amax           40.457    47.748    39.794
emean           0.075     0.315     0.079
emin            0.062     0.267     0.031
emax            0.088     0.365     0.128
imean          31.276    30.747    31.242
imin           30.913    29.535    30.716
imax           31.613    31.960    31.699
excite_mean     0.525     0.601     0.525
fracstop        1.000     1.000     1.000
cjmean          2.718     2.668     2.715

libcent 0      -180.0    -180.0     179.9
libamp  0      -180.0    -180.0      69.8
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       175.9     167.2     177.7
kozaiamp        180.0     179.9     180.0