Orbit Fit and Astrometric record for 10RF43

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: 10RF43    
# Created Tue Dec  6 02:37:51 2016
# Orbit generated from Bernstein formalism
# Fitting   69 observations of   70
# Arc:   4.90y
# First observation: 2010/09/06
#  Last observation: 2015/07/31
Preliminary a, adot, b, bdot, g, gdot:
   0.000251   0.014758   0.000076   0.005430   0.019564   0.000000
# Chi-squared of fit:   124.25 DOF:  132 RMS:  0.24
# Min/Max residuals:    -0.87    0.50
# Exact a, adot, b, bdot, g, gdot:
  1.121877E-05  1.507576E-02  8.116694E-06  5.568261E-03  1.953798E-02  3.922961E-03
# Covariance matrix:
  1.0120E-13 -6.3654E-14  1.0689E-14 -1.7749E-14  6.8591E-15 -6.2255E-13
 -6.3654E-14  1.3109E-13 -4.0155E-14  5.1836E-14  1.2704E-13  1.8591E-12
  1.0689E-14 -4.0155E-14  8.0474E-14 -3.6089E-14 -5.2673E-14 -6.1777E-13
 -1.7749E-14  5.1836E-14 -3.6089E-14  2.9917E-14  5.6625E-14  7.8615E-13
  6.8591E-15  1.2704E-13 -5.2673E-14  5.6625E-14  2.8373E-13  2.0711E-12
 -6.2255E-13  1.8591E-12 -6.1777E-13  7.8615E-13  2.0711E-12  2.8235E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -23.972675  -22.086303   -0.093352   -0.406046   -0.913132  2455445.581786
# Heliocentric elements and errors
Epoch:              2455440.5000  =  2010/09/01
Mean Anomaly:           87.97475 +/-     0.045
Argument of Peri:      193.07544 +/-     0.029
Long of Asc Node:       25.43160 +/-     0.000
Inclination:            30.59669 +/-     0.000
Eccentricity:         0.24499810 +/-    0.0003
Semi-Major Axis:     49.62868293 +/-    0.0063
Time of Perihelion: 2424233.4243 +/-      14.8
Perihelion:          37.46974976 +/-    0.0140
Aphelion:            61.78761610 +/-    0.0153
Period (y)              349.6289 +/-      0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           44.30116539 +/-    0.0012
Ecliptic Y          -17.87488346 +/-    0.0005
Ecliptic Z          -20.79506723 +/-    0.0006
Ecliptic XDOT         0.00155409 +/-    0.0000
Ecliptic YDOT         0.00165580 +/-    0.0000
Ecliptic ZDOT         0.00048960 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   52.10124312 +/-    0.0010
Geocenter to KBO     51.18237271 +/-    0.0014
# Hcoef:  3.99

The following table shows the complete astrometric record for 10RF43. 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 (10RF43) followed by the observatory code and reference code for the source of the astrometry.

2010 09  06.08102  23 18 52.222  -30 37 34.93  21.2R 10RF43    809  C~0MhM      
2010 09  06.23100  23 18 51.577  -30 37 37.95  21.1R 10RF43    809  C~0MhM      
2010 09  06.31138  23 18 51.204  -30 37 39.61  20.9R 10RF43    809  C~0MhM      
2010 09  07.03514  23 18 48.061  -30 37 53.43  21.1R 10RF43    809  C~0MhM      
2010 09  07.07796  23 18 47.834  -30 37 54.44  21.1R 10RF43    809  C~0MhM      
2010 09  07.12056  23 18 47.637  -30 37 55.52  21.1R 10RF43    809  C~0MhM      
2010 10  08.18432  23 16 35.191  -30 43 30.13        10RF43    807  C~0NnR      
2010 10  08.23971  23 16 34.960  -30 43 30.42        10RF43    807  C~0NnR      
2010 11  14.03116  23 14 49.10   -30 36 39.9         10RF43    807  C~0ev7      
2010 11  14.13040  23 14 48.90   -30 36 37.5         10RF43    807  C~0ev7      
2011 09  06.29862  23 21 50.58   -29 58 04.2         10RF43    807  C~0ev7      
2011 09  06.33133  23 21 50.42   -29 58 04.9         10RF43    807  C~0ev7      
2011 09  07.18006  23 21 46.75   -29 58 22.3         10RF43    807  C~0ev7      
2011 09  07.26550  23 21 46.37   -29 58 23.6         10RF43    807  C~0ev7      
2011 09  28.03360  23 20 16.55   -30 03 25.2   20.7R 10RF43    304  C~0Z9O      
2011 09  28.25828  23 20 15.59   -30 03 27.1         10RF43    304  C~0Z9O      
2011 09  29.03554  23 20 12.35   -30 03 33.5         10RF43    304  C~0Z9O      
2011 09  29.10466  23 20 12.06   -30 03 34.0         10RF43    304  C~0Z9O      
2011 09  29.32405  23 20 11.13   -30 03 35.6         10RF43    304  C~0Z9O      
2011 09  30.01316  23 20 08.29   -30 03 40.9         10RF43    304  C~0Z9O      
2011 09  30.18131  23 20 07.58   -30 03 42.1         10RF43    304  C~0Z9O      
2011 09  30.23117  23 20 07.36   -30 03 42.5         10RF43    304  C~0Z9O      
2011 10  01.01522  23 20 04.14   -30 03 47.8         10RF43    304  C~0Z9O      
2011 10  01.10257  23 20 03.78   -30 03 48.5         10RF43    304  C~0Z9O      
2011 10  01.26601  23 20 03.09   -30 03 49.5         10RF43    304  C~0Z9O      
2011 10  02.01375  23 20 00.04   -30 03 54.3         10RF43    304  C~0Z9O      
2011 10  02.23291  23 19 59.13   -30 03 55.6         10RF43    304  C~0Z9O      
2011 10  02.33929  23 19 58.68   -30 03 56.2         10RF43    304  C~0Z9O      
2011 10  23.01272  23 18 42.59   -30 03 37.9   20.6R 10RF43    304  C~0ZUc      
2011 10  23.08450  23 18 42.36   -30 03 37.4         10RF43    304  C~0ZUc      
2011 10  23.23331  23 18 41.88   -30 03 35.8         10RF43    304  C~0ZUc      
2011 10  24.03166  23 18 39.37   -30 03 29.6         10RF43    304  C~0ZUc      
2011 10  24.14780  23 18 39.00   -30 03 28.6         10RF43    304  C~0ZUc      
2011 10  24.26356  23 18 38.63   -30 03 27.5         10RF43    304  C~0ZUc      
2012 09  06.44382  23 24 41.115  -29 19 00.31  20.9r 10RF43    F51  C~1vWG      
2012 09  06.46661  23 24 41.029  -29 19 01.08  20.6i 10RF43    F51  C~1vWG      
2012 09  06.47845  23 24 40.972  -29 19 01.16  20.6i 10RF43    F51  C~1vWG      
2012 09  18.53293  23 23 48.86   -29 22 31.6   20.5R 10RF43    E10  C~0ijq      
2012 09  18.61660  23 23 48.45   -29 22 32.4   20.7R 10RF43    E10  C~0ijq      
2014 08  25.45461  23 31 09.730  -27 55 41.61  21.0w 10RF43    F51  C~1vWG      
2014 08  25.45658  23 31 09.727  -27 55 41.74  21.0w 10RF43    F51  C~1vWG      
2014 08  25.46580  23 31 09.687  -27 55 41.97  21.0w 10RF43    F51  C~1vWG      
2014 08  25.46780  23 31 09.676  -27 55 42.05  21.0w 10RF43    F51  C~1vWG      
2014 08  25.47702  23 31 09.639  -27 55 42.26  21.1w 10RF43    F51  C~1vWG      
2014 08  25.47900  23 31 09.633  -27 55 42.37  21.1w 10RF43    F51  C~1vWG      
2014 08  25.48821  23 31 09.600  -27 55 42.56  21.0w 10RF43    F51  C~1vWG      
2014 08  25.49018  23 31 09.585  -27 55 42.58  21.1w 10RF43    F51  C~1vWG      
2014 08  26.46889  23 31 05.693  -27 56 07.61  21.0w 10RF43    F51  C~1vWG      
2014 08  26.48008  23 31 05.644  -27 56 07.93  21.0w 10RF43    F51  C~1vWG      
2014 08  26.49129  23 31 05.597  -27 56 08.32  20.9w 10RF43    F51  C~1vWG      
2014 08  26.50252  23 31 05.560  -27 56 08.50  21.0w 10RF43    F51  C~1vWG      
2014 09  01.40977  23 30 41.531  -27 58 33.00  21.0w 10RF43    F51  C~1vWG      
2014 09  01.41972  23 30 41.487  -27 58 33.26  20.9w 10RF43    F51  C~1vWG      
2014 09  01.42964  23 30 41.449  -27 58 33.38  21.0w 10RF43    F51  C~1vWG      
2014 09  01.43979  23 30 41.401  -27 58 33.69  21.1w 10RF43    F51  C~1vWG      
2014 09  11.45329  23 29 59.326  -28 02 06.76  20.5i 10RF43    F51  C~1vWG      
2014 09  11.46450  23 29 59.286  -28 02 07.06  20.7i 10RF43    F51  C~1vWG      
2014 09  11.47572  23 29 59.244  -28 02 07.17  20.6i 10RF43    F51  C~1vWG      
2014 09  11.48690  23 29 59.175  -28 02 07.36  20.8i 10RF43    F51  C~1vWG      
2014 11  24.25237  23 26 04.752  -27 58 58.99  21.2w 10RF43    F51  C~1vWG      
2014 11  24.26270  23 26 04.742  -27 58 58.72  21.2w 10RF43    F51  C~1vWG      
2014 11  24.27305  23 26 04.732  -27 58 58.37  21.4w 10RF43    F51  C~1vWG      
2014 11  24.28340  23 26 04.716  -27 58 58.29  21.4w 10RF43    F51  C~1vWG      
2014 11  26.20662  23 26 02.868  -27 58 08.83  21.3w 10RF43    F51  C~1vWG      
2014 11  26.21713  23 26 02.843  -27 58 08.51  21.1w 10RF43    F51  C~1vWG      
2014 11  26.22767  23 26 02.838  -27 58 08.12  21.4w 10RF43    F51  C~1vWG      
2014 11  26.23820  23 26 02.813  -27 58 07.90  21.2w 10RF43    F51  C~1vWG      
2015 07  31.54842  23 35 18.464  -27 04 36.11  20.7i 10RF43    F51  C~1vWG      
2015 07  31.55871  23 35 18.403  -27 04 36.03  20.4i 10RF43    F51  C~1vWG      
2015 07  31.56902  23 35 18.378  -27 04 36.49  20.4i 10RF43    F51  C~1vWG      

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     0.20       0.00    -0.74
  2   0.0004     -8.82     0.49       0.84    -0.87
  3   0.0006    -13.88     0.29       1.40    -0.85
  4   0.0026    -56.46 (   0.78)      6.28 (  -0.54)
  5   0.0027    -59.54     0.28       6.63    -0.47
  6   0.0028    -62.30     0.10       6.74    -0.65
  7   0.0879  -1750.75    -0.25     431.83    -0.30
  8   0.0880  -1753.57    -0.50     432.83    -0.45
  9   0.1888  -2818.78     0.08    1381.43     0.24
 10   0.1890  -2820.11    -0.25    1384.70     0.50
 11   0.9999   3106.82    -0.30    1142.69     0.22
 12   1.0000   3104.64    -0.51    1142.96     0.27
 13   1.0023   3054.12    -0.48    1147.99     0.05
 14   1.0026   3049.10    -0.33    1148.97     0.43
 15   1.0594   1866.64     0.10    1381.74     0.23
 16   1.0600   1854.58     0.07    1385.39     0.25
 17   1.0622   1813.86     0.00    1397.75     0.21
 18   1.0624   1810.25     0.06    1398.92     0.25
 19   1.0630   1798.66     0.07    1402.68     0.33
 20   1.0648   1763.10     0.10    1413.79     0.20
 21   1.0653   1754.27     0.10    1416.68     0.25
 22   1.0654   1751.52    -0.04    1417.54     0.26
 23   1.0676   1711.51     0.08    1430.77     0.33
 24   1.0678   1706.99     0.10    1432.15     0.21
 25   1.0683   1698.47     0.05    1435.11     0.29
 26   1.0703   1660.66     0.03    1447.83     0.18
 27   1.0709   1649.44     0.05    1451.74     0.19
 28   1.0712   1643.91    -0.08    1453.71     0.24
 29   1.1278    759.55     0.12    1894.30     0.05
 30   1.1280    757.07     0.14    1896.03    -0.02
 31   1.1284    752.12     0.35    1900.15     0.33
 32   1.1306    725.32     0.19    1919.70     0.11
 33   1.1309    721.41     0.21    1922.66     0.11
 34   1.1312    717.54     0.21    1925.71     0.19
 35   2.0024   6132.62    -0.27    2280.00     0.12
 36   2.0024   6131.27    -0.25    2279.80    -0.23
 37   2.0025   6130.56    -0.24    2280.06    -0.06
 38   2.0355   5425.38    -0.00    2389.97    -0.30
 39   2.0357   5420.21    -0.35    2391.60     0.30
 40   3.9682  12958.32     0.00    4478.47    -0.04
 41   3.9682  12958.23     0.02    4478.37    -0.14
 42   3.9682  12957.65    -0.00    4478.41    -0.11
 43   3.9682  12957.48    -0.05    4478.40    -0.12
 44   3.9682  12956.94    -0.03    4478.44    -0.10
 45   3.9682  12956.82    -0.04    4478.37    -0.16
 46   3.9683  12956.35     0.03    4478.40    -0.14
 47   3.9683  12956.16    -0.04    4478.47    -0.07
 48   3.9709  12898.60     0.05    4479.41    -0.02
 49   3.9710  12897.87    -0.01    4479.42    -0.03
 50   3.9710  12897.14    -0.07    4479.35    -0.12
 51   3.9710  12896.61     0.08    4479.41    -0.07
 52   3.9872  12545.89     0.00    4493.99    -0.05
 53   3.9872  12545.25    -0.03    4494.02    -0.06
 54   3.9873  12544.75     0.06    4494.14     0.02
 55   3.9873  12544.04    -0.03    4494.15    -0.02
 56   4.0147  11948.37    -0.09    4554.60     0.11
 57   4.0147  11947.76    -0.03    4554.57    -0.02
 58   4.0148  11947.21     0.09    4554.73     0.04
 59   4.0148  11946.31    -0.14    4554.97     0.18
 60   4.2168   9244.60     0.02    6109.33    -0.13
 61   4.2168   9244.60     0.04    6109.63    -0.13
 62   4.2168   9244.63     0.10    6110.01    -0.06
 63   4.2168   9244.48    -0.03    6110.17    -0.20
 64   4.2221   9244.43     0.09    6165.46    -0.18
 65   4.2221   9244.27    -0.07    6165.90    -0.05
 66   4.2222   9244.39     0.04    6166.28     0.02
 67   4.2222   9244.19    -0.16    6166.62     0.05
 68   4.8993  17326.95     0.31    5707.32    -0.22
 69   4.8993  17326.26     0.12    5707.76     0.32
 70   4.8994  17325.75     0.10    5707.50     0.16

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.