Orbit Fit and Astrometric record for 96RR20

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: 96RR20    
# Created Tue Dec 12 02:36:59 2017
# Orbit generated from Bernstein formalism
# Fitting   53 observations of   54
# Arc:  12.11y
# First observation: 1996/09/15
#  Last observation: 2008/10/24
Preliminary a, adot, b, bdot, g, gdot:
   0.000223   0.020781  -0.000017  -0.001930   0.023608   0.000000
# Chi-squared of fit:   318.51 DOF:  100 RMS:  0.43
# Min/Max residuals:    -1.59    1.01
# Exact a, adot, b, bdot, g, gdot:
  1.307817E-05  2.121722E-02 -3.423507E-06 -1.969051E-03  2.366054E-02  3.104602E-03
# Covariance matrix:
  6.7564E-14 -4.6354E-14 -2.5358E-15  3.7484E-15  3.3342E-14 -1.8333E-13
 -4.6354E-14  5.9836E-14  3.5525E-15 -5.2473E-15 -3.2744E-14  2.5624E-13
 -2.5358E-15  3.5525E-15  3.8194E-14 -6.9539E-15 -1.9673E-15  1.6455E-14
  3.7484E-15 -5.2473E-15 -6.9539E-15  4.9845E-15  2.9319E-15 -2.4303E-14
  3.3342E-14 -3.2744E-14 -1.9673E-15  2.9319E-15  1.0977E-13 -1.4576E-13
 -1.8333E-13  2.5624E-13  1.6455E-14 -2.4303E-14 -1.4576E-13  1.1866E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.088027  -17.648013   -0.196703    0.001351   -0.979653  2450342.408780
# Heliocentric elements and errors
Epoch:              2450340.5000  =  1996/09/14
Mean Anomaly:          111.71294 +/-     0.029
Argument of Peri:       50.51712 +/-     0.021
Long of Asc Node:      163.53330 +/-     0.000
Inclination:             5.29725 +/-     0.000
Eccentricity:         0.17328567 +/-    0.0000
Semi-Major Axis:     39.77504403 +/-    0.0027
Time of Perihelion: 2421907.9774 +/-       6.8
Perihelion:          32.88259883 +/-    0.0024
Aphelion:            46.66748923 +/-    0.0033
Period (y)              250.8558 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           41.27415775 +/-    0.0006
Ecliptic Y          -12.92887183 +/-    0.0002
Ecliptic Z            0.06481941 +/-    0.0000
Ecliptic XDOT         0.00109377 +/-    0.0000
Ecliptic YDOT         0.00223507 +/-    0.0000
Ecliptic ZDOT        -0.00022748 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   43.25177484 +/-    0.0005
Geocenter to KBO     42.26446826 +/-    0.0006
# Hcoef:  6.81

The following table shows the complete astrometric record for 96RR20. 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 (96RR20) followed by the observatory code and reference code for the source of the astrometry.

1996 09  15.90806  22 54 46.61   -06 50 42.0   22.8R 96RR20    950  C28050      
1996 09  15.93966  22 54 46.48   -06 50 42.9   22.8R 96RR20    950  C28050      
1996 09  15.96133  22 54 46.38   -06 50 43.8   22.8R 96RR20    950  C28050      
1996 09  19.96075  22 54 29.37   -06 52 32.9         96RR20    950  C28050      
1996 09  20.01390  22 54 29.13   -06 52 34.5         96RR20    950  C28050      
1996 09  20.98355  22 54 25.06   -06 53 00.9         96RR20    950  C28050      
1996 09  21.03082  22 54 24.86   -06 53 02.0         96RR20    950  C28050      
1996 11  12.06707  22 51 54.35   -07 09 31.9         96RR20    711  C28519      
1996 11  12.07518  22 51 54.29   -07 09 31.5         96RR20    711  C28519      
1996 11  12.08342  22 51 54.31   -07 09 33.6         96RR20    711  C28519      
1996 11  12.09099  22 51 54.32   -07 09 31.5         96RR20    711  C28519      
1996 11  12.13432  22 51 54.33   -07 09 33.1         96RR20    711  C28519      
1996 11  12.14202  22 51 54.31   -07 09 32.7         96RR20    711  C28519      
1996 11  13.05781  22 51 53.32   -07 09 39.2         96RR20    711  C28519      
1996 11  13.06908  22 51 53.35   -07 09 39.8         96RR20    711  C28519      
1996 11  13.07768  22 51 53.29   -07 09 39.5         96RR20    711  C28519      
1996 11  13.08554  22 51 53.27   -07 09 40.0         96RR20    711  C28519      
1996 11  14.06351  22 51 52.41   -07 09 46.3         96RR20    711  C28519      
1996 11  14.07123  22 51 52.34   -07 09 46.9         96RR20    711  C28519      
1996 11  14.07902  22 51 52.35   -07 09 46.1         96RR20    711  C28519      
1996 11  14.08665  22 51 52.34   -07 09 46.9         96RR20    711  C28519      
1997 06  28.55558  23 03 56.24   -05 59 41.3         96RR20    568  C30144      
1997 06  29.51785  23 03 55.09   -05 59 48.9         96RR20    568  C30144      
1997 06  29.55644  23 03 55.07   -05 59 49.1         96RR20    568  C30144      
1997 06  29.59858  23 03 54.98   -05 59 48.9         96RR20    568  C30144      
1997 09  06.95833  23 00 08.37   -06 24 42.2   22.6R 96RR20    950  C30629      
1997 09  06.99889  23 00 08.22   -06 24 43.3         96RR20    950  C30629      
1997 09  07.06715  23 00 07.89   -06 24 45.1         96RR20    950  C30629      
1997 09  07.08670  23 00 07.80   -06 24 45.4         96RR20    950  C30629      
1997 09  07.10470  23 00 07.72   -06 24 46.3         96RR20    950  C30629      
1997 09  07.28714  23 00 06.94   -06 24 51.2         96RR20    675  C30579      
1997 09  07.42352  23 00 06.33   -06 24 55.2         96RR20    675  C30579      
1997 09  08.25432  23 00 02.69   -06 25 19.1         96RR20    675  C30579      
1997 09  08.38924  23 00 02.09   -06 25 23.0         96RR20    675  C30579      
1997 09  10.00484  22 59 55.09   -06 26 08.5         96RR20    950  C30629      
1997 09  10.02200  22 59 55.02   -06 26 09.0         96RR20    950  C30629      
1997 09  10.04023  22 59 54.92   -06 26 09.3         96RR20    950  C30629      
1997 09  23.25225  22 58 58.33   -06 32 15.8         96RR20    568  Ca0009      
1997 09  23.28191  22 58 58.24   -06 32 16.3         96RR20    568  Ca0009      
1997 09  24.28318  22 58 54.11   -06 32 43.5         96RR20    568  Ca0009      
1997 09  24.34705  22 58 53.83   -06 32 45.4         96RR20    568  Ca0009      
1997 10  05.15420  22 58 11.33   -06 37 21.4         96RR20    675  Ca0009      
1997 10  05.22851  22 58 11.03   -06 37 23.1   22.9R 96RR20    675  Ca0009      
1997 10  05.29484  22 58 10.78   -06 37 24.7         96RR20    675  Ca0009      
1999 11  30.14954  23 05 32.72   -06 06 49.9   23.2r 96RR20    695  Cq9785      
1999 12  01.12499  23 05 32.83   -06 06 49.5   22.4r 96RR20    695  Cq9785      
2000 08  02.37359  23 16 19.65   -05 04 00.3   23.1R 96RR20    809  Cb7379      
2000 08  02.39196  23 16 19.59   -05 04 00.6   23.2R 96RR20    809  Cb7379      
2000 08  02.41604  23 16 19.51   -05 04 01.2   23.2R 96RR20    809  Cb7379      
2002 08  11.37222  23 24 51.44   -04 24 03.7   22.1R 96RR20    807  Ch1038      
2002 08  12.31262  23 24 47.98   -04 24 28.0         96RR20    807  Ch1038      
2002 08  12.39073  23 24 47.72   -04 24 30.0         96RR20    807  Ch1038      
2008 10  24.17642  23 46 21.53   -02 48 06.1   23.5r 96RR20    695  C~0gLr      
2008 10  24.27595  23 46 21.20   -02 48 08.3   23.7r 96RR20    695  C~0gLr      

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     0.23       0.00     0.43
  2   0.0001     -2.13     0.33      -0.09     0.37
  3   0.0001     -3.85     0.14      -0.36     0.12
  4   0.0111   -279.64     0.49      -4.50     0.54
  5   0.0112   -283.55     0.27      -4.61     0.47
  6   0.0139   -349.65     0.17      -5.89     0.32
  7   0.0140   -352.83     0.26      -5.77     0.47
  8   0.1565  -2801.86    -0.06     -67.32     0.29
  9   0.1565  -2802.53    -0.58     -66.62     1.01
 10   0.1565  -2803.06    -0.95     -68.67    -1.04
 11   0.1566  -2802.12     0.13     -66.78     0.85
 12   0.1567  -2802.59     0.47     -68.32    -0.66
 13   0.1567  -2802.71     0.49     -67.84    -0.17
 14   0.1592  -2818.82    -0.02     -68.25     0.55
 15   0.1592  -2818.63     0.37     -68.97    -0.17
 16   0.1593  -2819.34    -0.20     -68.35     0.46
 17   0.1593  -2819.81    -0.52     -68.70     0.11
 18   0.1620  -2834.05     0.64     -69.66     0.33
 19   0.1620  -2835.24    -0.43     -69.82     0.17
 20   0.1620  -2834.79     0.14     -69.14     0.86
 21   0.1620  -2835.24    -0.18     -69.82     0.19
 22   0.7821   8745.15    -0.09    -319.08    -1.59
 23   0.7847   8726.35    -0.30    -319.47    -0.91
 24   0.7848   8726.00     0.16    -319.54    -0.95
 25   0.7849   8724.84    -0.11    -318.83    -0.22
 26   0.9748   5026.95    -0.24    -395.58    -0.06
 27   0.9749   5024.46     0.20    -395.74    -0.19
 28   0.9751   5019.23    -0.11    -395.51     0.09
 29   0.9752   5017.87    -0.05    -395.27     0.34
 30   0.9752   5016.43    -0.20    -395.64    -0.02
 31   0.9757   5003.80     0.07    -395.70     0.18
 32   0.9761   4993.86    -0.04    -395.90     0.07
 33   0.9784   4934.55    -0.41    -397.11    -0.16
 34   0.9787   4924.79    -0.44    -397.28    -0.23
 35   0.9832   4810.92     0.34    -399.20    -0.33
 36   0.9832   4809.76     0.42    -399.26    -0.38
 37   0.9833   4808.27     0.24    -398.96    -0.07
 38   1.0194   3888.37    -0.93    -413.51    -0.06
 39   1.0195   3886.94    -0.33    -413.46     0.02
 40   1.0222   3819.64    -0.33    -414.96    -0.38
 41   1.0224   3815.06    -0.57    -415.11    -0.49
 42   1.0520   3124.14     0.34    -427.09    -0.70
 43   1.0522   3119.36     0.13    -426.95    -0.50
 44   1.0524   3115.30     0.15    -427.00    -0.51
 45   3.2039   9909.48     0.42   -1271.42    -0.24
 46   3.2066   9911.15     0.05   -1271.68     0.17
 47   3.8781  20331.07     0.34   -1556.70     0.33
 48   3.8781  20330.12     0.39   -1556.62     0.42
 49   3.8782  20328.77     0.36   -1556.71     0.36
 50   5.9013  28421.82 (   1.84)  -2363.35 (   1.05)
 51   5.9039  28363.60    -0.51   -2365.29     0.46
 52   5.9041  28359.16    -0.21   -2365.60     0.23
 53  12.1048  49163.29    -0.03   -4815.94    -0.04
 54  12.1050  49157.57     0.08   -4815.97    -0.14

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.

96RR20    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.714    39.722    39.706
ecceobj         0.170     0.170     0.170
incobj          5.292     5.292     5.292
qmin           31.766    31.771    31.751
qmax           47.703    47.618    47.603
amean          39.457    39.456    39.456
amin           39.047    39.010    39.040
amax           39.938    39.935    39.927
emean           0.177     0.177     0.177
emin            0.159     0.159     0.161
emax            0.195     0.194     0.193
imean           4.962     4.969     4.957
imin            4.467     4.469     4.460
imax            5.627     5.626     5.617
excite_mean     0.197     0.197     0.197
fracstop        1.000     1.000     1.000
cjmean          3.008     3.008     3.008

libcent 0       180.7     180.3     179.4
libamp  0        77.7      81.3      73.6
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       184.6     184.4     183.9
kozaiamp        179.9     180.0     179.9