Orbit Fit and Astrometric record for 10RN64

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: 10RN64    
# Created Fri Oct 20 01:37:54 2017
# Orbit generated from Bernstein formalism
# Fitting   43 observations of   50
# Arc:   7.02y
# First observation: 2010/10/10
#  Last observation: 2017/09/16
Preliminary a, adot, b, bdot, g, gdot:
  -0.000629   0.023947  -0.000163   0.003856   0.025083   0.000000
# Chi-squared of fit:    34.85 DOF:   80 RMS:  0.16
# Min/Max residuals:    -0.40    0.37
# Exact a, adot, b, bdot, g, gdot:
  1.039083E-05  2.355528E-02  4.897935E-06  3.799003E-03  2.466676E-02 -1.811326E-03
# Covariance matrix:
  3.0473E-13 -1.1458E-13  1.2872E-14 -1.1405E-14 -4.7079E-15 -4.3642E-13
 -1.1458E-13  7.3660E-14 -1.4249E-14  1.0734E-14  3.7389E-14  4.0819E-13
  1.2872E-14 -1.4249E-14  2.2386E-13 -5.2367E-14 -1.4500E-14 -9.6641E-14
 -1.1405E-14  1.0734E-14 -5.2367E-14  1.5222E-14  6.9199E-15  7.2619E-14
 -4.7079E-15  3.7389E-14 -1.4500E-14  6.9199E-15  1.0618E-13  2.5676E-13
 -4.3642E-13  4.0819E-13 -9.6641E-14  7.2619E-14  2.5676E-13  2.7611E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -18.174929    6.583224    0.330705   -0.295248   -0.899334  2455449.758356
# Heliocentric elements and errors
Epoch:              2455440.5000  =  2010/09/01
Mean Anomaly:          269.42704 +/-     0.032
Argument of Peri:       36.02100 +/-     0.026
Long of Asc Node:       68.56842 +/-     0.001
Inclination:            19.86441 +/-     0.000
Eccentricity:         0.08217442 +/-    0.0001
Semi-Major Axis:     41.13794614 +/-    0.0020
Time of Perihelion: 2479687.5222 +/-       8.4
Perihelion:          37.75745927 +/-    0.0034
Aphelion:            44.51843300 +/-    0.0036
Period (y)              263.8591 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           39.24623366 +/-    0.0005
Ecliptic Y            4.19491899 +/-    0.0001
Ecliptic Z          -12.64515260 +/-    0.0002
Ecliptic XDOT        -0.00035833 +/-    0.0000
Ecliptic YDOT         0.00259677 +/-    0.0000
Ecliptic ZDOT         0.00046332 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.44591760 +/-    0.0005
Geocenter to KBO     40.54038020 +/-    0.0005
# Hcoef:  5.75

The following table shows the complete astrometric record for 10RN64. 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 (10RN64) followed by the observatory code and reference code for the source of the astrometry.

2010 09  10.25759  00 53 24.376  -14 03 17.71  21.4R 10RN64    809  C~0MwY      
2010 09  10.34148  00 53 24.019  -14 03 20.19  21.3R 10RN64    809  C~0MwY      
2010 09  11.12681  00 53 20.76   -14 03 46.1         10RN64    809  C~0MwY      
2010 09  11.23263  00 53 20.29   -14 03 51.0         10RN64    809  C~0MwY      
2010 10  10.18553  00 51 06.96   -14 17 52.1         10RN64    807  C~0Nne      
2010 10  10.23147  00 51 06.77   -14 17 53.6         10RN64    807  C~0Nne      
2010 12  01.11808  00 47 45.08   -14 22 31.4   21.8R 10RN64    688  C~0Pnu      
2010 12  01.19872  00 47 44.90   -14 22 30.7         10RN64    688  C~0Pnu      
2011 09  08.53712  00 58 15.712  -13 16 56.26  21.3i 10RN64    F51  C~1vWG      
2011 09  08.55029  00 58 15.650  -13 16 56.78  21.1i 10RN64    F51  C~1vWG      
2011 09  08.56423  00 58 15.593  -13 16 57.04  21.6r 10RN64    F51  C~1vWG      
2011 09  08.57582  00 58 15.541  -13 16 57.69  21.5r 10RN64    F51  C~1vWG      
2011 09  25.24131  00 57 03.060  -13 25 57.66  21.4R 10RN64    807  C~10hB      
2011 09  25.30954  00 57 02.731  -13 25 59.54  21.3R 10RN64    807  C~10hB      
2013 11  06.25048  01 03 11.65   -12 08 46.7   21.1R 10RN64    G37  C~10hB      
2013 11  06.34399  01 03 11.29   -12 08 46.9         10RN64    G37  C~10hB      
2014 08  17.52934  01 13 28.906  -10 46 25.26  21.2i 10RN64    F51  C~1vWG      
2014 08  17.54124  01 13 28.883  -10 46 25.78  21.0i 10RN64    F51  C~1vWG      
2014 08  17.55316  01 13 28.863  -10 46 26.43  21.0i 10RN64    F51  C~1vWG      
2014 08  17.56509  01 13 28.824  -10 46 26.71  21.3i 10RN64    F51  C~1vWG      
2014 08  18.50326  01 13 26.579  -10 46 57.15  21.1i 10RN64    F51  C~1vWG      
2014 08  18.51516  01 13 26.556  -10 46 57.60  21.3i 10RN64    F51  C~1vWG      
2014 08  18.52707  01 13 26.529  -10 46 57.84  21.3i 10RN64    F51  C~1vWG      
2014 08  18.53898  01 13 26.493  -10 46 58.35  21.4i 10RN64    F51  C~1vWG      
2014 08  19.50072  01 13 24.118  -10 47 30.13  21.1i 10RN64    F51  C~1vWG      
2014 08  19.51262  01 13 24.087  -10 47 30.42  21.1i 10RN64    F51  C~1vWG      
2014 08  19.52451  01 13 24.054  -10 47 30.81  21.1i 10RN64    F51  C~1vWG      
2014 08  19.53645  01 13 24.022  -10 47 31.24  21.1i 10RN64    F51  C~1vWG      
2014 09  03.54607  01 12 38.162  -10 55 59.18  21.8w 10RN64    F51  C~1vWG      
2014 09  03.55800  01 12 38.106  -10 55 59.69  21.6w 10RN64    F51  C~1vWG      
2014 09  03.56993  01 12 38.076  -10 55 59.95  21.8w 10RN64    F51  C~1vWG      
2014 10  27.35240  01 08 37.560  -11 20 38.30  21.8w 10RN64    F51  C~1vWG      
2014 10  27.36568  01 08 37.501  -11 20 38.53  21.7w 10RN64    F51  C~1vWG      
2014 10  27.37895  01 08 37.457  -11 20 38.90  21.9w 10RN64    F51  C~1vWG      
2014 10  27.39222  01 08 37.401  -11 20 39.07  21.6w 10RN64    F51  C~1vWG      
2014 11  12.36310  01 07 28.496  -11 23 18.85  21.8r 10RN64    F51  C~1vWG      
2014 11  12.37523  01 07 28.450  -11 23 18.98  21.3r 10RN64    F51  C~1vWG      
2014 11  12.38748  01 07 28.391  -11 23 18.93  21.7r 10RN64    F51  C~1vWG      
2014 11  28.34322  01 06 32.855  -11 22 57.93  21.2i 10RN64    F51  C~1vWG      
2014 11  28.35355  01 06 32.809  -11 22 57.62  21.2i 10RN64    F51  C~1vWG      
2014 11  28.36387  01 06 32.792  -11 22 57.69  21.2i 10RN64    F51  C~1vWG      
2014 12  12.25506  01 05 59.568  -11 20 06.04  21.9w 10RN64    F51  C~1vWG      
2014 12  12.26529  01 05 59.544  -11 20 06.14  21.7w 10RN64    F51  C~1vWG      
2014 12  12.27554  01 05 59.527  -11 20 05.89  21.7w 10RN64    F51  C~1vWG      
2014 12  12.28577  01 05 59.500  -11 20 05.69  21.8w 10RN64    F51  C~1vWG      
2015 11  08.11619  01 12 26.99   -10 36 19.2   21.0R 10RN64    G37  C~1dcy      
2015 11  08.18337  01 12 26.71   -10 36 19.9         10RN64    G37  C~1dcy      
2017 09  16.50037  01 25 46.799  -08 41 19.53  21.5w 10RN64    F51  C~2KuV      
2017 09  16.56001  01 25 46.554  -08 41 21.32  21.4w 10RN64    F51  C~2KuV      
2017 09  16.58912  01 25 46.413  -08 41 22.73  21.9w 10RN64    F51  C~2KuV      

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 (   0.97)      0.00 (  -0.51)
  2   0.0002     -5.75 (   1.11)     -0.15 (  -0.16)
  3   0.0024    -59.62 (   1.53)     -4.50 (   0.45)
  4   0.0027    -67.86 (   0.76)     -6.19 (  -0.64)
  5   0.0819  -2181.42     0.37      12.86     0.20
  6   0.0821  -2184.56 (   0.62)     12.60 (  -0.41)
  7   0.2241  -4979.53    -0.19     941.23     0.33
  8   0.2243  -4981.64    -0.17     942.92    -0.12
  9   0.9946   5014.03     0.08     798.01    -0.15
 10   0.9946   5012.99    -0.05     797.91    -0.17
 11   0.9947   5012.13     0.04     798.02     0.03
 12   0.9947   5011.17    -0.13     797.74    -0.17
 13   1.0403   3824.33 (   0.50)    740.64 (   0.88)
 14   1.0405   3819.18 (   0.45)    740.90 (   1.08)
 15   3.1567  10657.95    -0.40    2730.05    -0.12
 16   3.1570  10653.05     0.32    2732.07     0.11
 17   3.9350  21033.02    -0.22    3406.83     0.12
 18   3.9351  21032.48    -0.20    3406.50    -0.03
 19   3.9351  21031.94    -0.19    3406.03    -0.33
 20   3.9351  21031.29    -0.27    3406.02    -0.16
 21   3.9377  20987.95    -0.08    3392.40     0.11
 22   3.9377  20987.45    -0.01    3392.13     0.02
 23   3.9378  20986.98     0.10    3392.08     0.14
 24   3.9378  20986.28    -0.03    3391.84     0.07
 25   3.9404  20940.62     0.01    3377.81    -0.02
 26   3.9405  20940.08     0.06    3377.74     0.07
 27   3.9405  20939.46     0.03    3377.59     0.09
 28   3.9405  20938.85     0.00    3377.40     0.06
 29   3.9816  20103.18     0.30    3202.40     0.00
 30   3.9817  20102.21     0.08    3202.29    -0.01
 31   3.9817  20101.69     0.33    3202.24     0.04
 32   4.1289  16238.51    -0.02    3354.85     0.14
 33   4.1290  16237.62     0.02    3355.01     0.10
 34   4.1290  16236.87     0.19    3354.95    -0.17
 35   4.1290  16236.04     0.29    3355.14    -0.18
 36   4.1728  15243.68    -0.03    3636.15    -0.01
 37   4.1728  15243.01    -0.02    3636.31    -0.10
 38   4.1728  15242.24    -0.10    3636.72     0.06
 39   4.2165  14505.94    -0.04    3998.75    -0.25
 40   4.2166  14505.45    -0.13    3999.31     0.06
 41   4.2166  14505.20    -0.01    3999.35    -0.16
 42   4.2546  14131.70     0.24    4360.52     0.18
 43   4.2546  14131.34     0.06    4360.58    -0.05
 44   4.2547  14131.22     0.13    4360.91     0.00
 45   4.2547  14130.94     0.03    4361.26     0.07
 46   5.1605  20458.48    -0.29    4347.18     0.19
 47   5.1606  20454.40    -0.21    4348.30     0.02
 48   7.0178  34352.15     0.12    5550.42     0.03
 49   7.0179  34347.98     0.23    5550.37     0.13
 50   7.0180  34345.42    -0.25    5549.99    -0.17

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.

10RN64    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        41.159    41.165    41.154
ecceobj         0.083     0.083     0.083
incobj         19.858    19.858    19.858
qmin           36.636    36.610    36.667
qmax           45.444    45.516    45.450
amean          40.949    40.955    40.944
amin           40.625    40.634    40.628
amax           41.293    41.289    41.289
emean           0.086     0.086     0.086
emin            0.072     0.072     0.072
emax            0.102     0.103     0.102
imean          18.187    18.188    18.187
imin           17.398    17.403    17.397
imax           18.930    18.919    18.918
excite_mean     0.324     0.324     0.324
fracstop        1.000     1.000     1.000
cjmean          2.943     2.943     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     175.4     175.3
kozaiamp        180.0     180.0     180.0