The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory.
# Object: 96RR20
# Created Fri May 2 02:36:26 2008
# Orbit generated from Bernstein formalism
# Fitting 51 observations of 52
# Arc: 5.90y
# First observation: 1996/09/15
# Last observation: 2002/08/12
Preliminary a, adot, b, bdot, g, gdot:
0.000122 0.020880 -0.000010 -0.001939 0.023485 0.000000
# Chi-squared of fit: 316.15 DOF: 96 RMS: 0.44
# Min/Max residuals: -1.59 1.02
# Exact a, adot, b, bdot, g, gdot:
1.295587E-05 2.121753E-02 -3.499739E-06 -1.968979E-03 2.366060E-02 3.107586E-03
# Covariance matrix:
7.6864E-14 -7.1568E-14 -1.9466E-15 4.2731E-15 2.6963E-14 -4.3319E-13
-7.1568E-14 1.2885E-13 4.2594E-15 -9.3268E-15 -1.4721E-14 9.4377E-13
-1.9466E-15 4.2594E-15 4.6435E-14 -1.6379E-14 2.1502E-16 3.6429E-14
4.2731E-15 -9.3268E-15 -1.6379E-14 1.5919E-14 -4.1018E-16 -7.9682E-14
2.6963E-14 -1.4721E-14 2.1502E-16 -4.1018E-16 1.1496E-13 3.6938E-14
-4.3319E-13 9.4377E-13 3.6429E-14 -7.9682E-14 3.6938E-14 8.0566E-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: 111.66737 +/- 0.042
Argument of Peri: 50.54744 +/- 0.034
Long of Asc Node: 163.53329 +/- 0.000
Inclination: 5.29698 +/- 0.000
Eccentricity: 0.17337297 +/- 0.0001
Semi-Major Axis: 39.77695645 +/- 0.0031
Time of Perihelion: 2421917.5234 +/- 10.0
Perihelion: 32.88070755 +/- 0.0041
Aphelion: 46.67320536 +/- 0.0049
Period (y) 250.8739 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 41.27405009 +/- 0.0006
Ecliptic Y -12.92884300 +/- 0.0002
Ecliptic Z 0.06481601 +/- 0.0000
Ecliptic XDOT 0.00109410 +/- 0.0000
Ecliptic YDOT 0.00223499 +/- 0.0000
Ecliptic ZDOT -0.00022747 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 43.25166347 +/- 0.0006
Geocenter to KBO 42.26435691 +/- 0.0006
# Hcoef: 6.73
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
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 0.25 0.00 0.45 2 0.0001 -2.13 0.35 -0.09 0.38 3 0.0001 -3.85 0.16 -0.36 0.14 4 0.0111 -279.64 0.52 -4.50 0.56 5 0.0112 -283.55 0.29 -4.61 0.48 6 0.0139 -349.65 0.20 -5.89 0.33 7 0.0140 -352.83 0.28 -5.77 0.49 8 0.1565 -2801.86 -0.04 -67.32 0.30 9 0.1565 -2802.53 -0.56 -66.62 1.02 10 0.1565 -2803.06 -0.93 -68.67 -1.03 11 0.1566 -2802.12 0.15 -66.78 0.86 12 0.1567 -2802.59 0.50 -68.32 -0.64 13 0.1567 -2802.71 0.52 -67.84 -0.15 14 0.1592 -2818.82 0.01 -68.25 0.56 15 0.1592 -2818.63 0.39 -68.97 -0.15 16 0.1593 -2819.34 -0.17 -68.35 0.47 17 0.1593 -2819.81 -0.50 -68.70 0.13 18 0.1620 -2834.05 0.66 -69.66 0.34 19 0.1620 -2835.24 -0.40 -69.82 0.19 20 0.1620 -2834.79 0.16 -69.14 0.88 21 0.1620 -2835.24 -0.16 -69.82 0.20 22 0.7821 8745.15 -0.11 -319.08 -1.59 23 0.7847 8726.35 -0.31 -319.47 -0.91 24 0.7848 8726.00 0.14 -319.54 -0.95 25 0.7849 8724.84 -0.13 -318.83 -0.22 26 0.9748 5026.95 -0.27 -395.58 -0.06 27 0.9749 5024.46 0.17 -395.74 -0.19 28 0.9751 5019.23 -0.14 -395.51 0.09 29 0.9752 5017.87 -0.08 -395.27 0.34 30 0.9752 5016.43 -0.23 -395.64 -0.02 31 0.9757 5003.80 0.04 -395.70 0.18 32 0.9761 4993.86 -0.06 -395.90 0.07 33 0.9784 4934.55 -0.43 -397.11 -0.16 34 0.9787 4924.79 -0.47 -397.28 -0.23 35 0.9832 4810.92 0.32 -399.20 -0.33 36 0.9832 4809.76 0.40 -399.26 -0.38 37 0.9833 4808.27 0.22 -398.96 -0.07 38 1.0194 3888.37 -0.96 -413.51 -0.06 39 1.0195 3886.94 -0.36 -413.46 0.02 40 1.0222 3819.64 -0.35 -414.96 -0.39 41 1.0224 3815.06 -0.59 -415.11 -0.49 42 1.0520 3124.14 0.31 -427.09 -0.70 43 1.0522 3119.36 0.10 -426.95 -0.50 44 1.0524 3115.30 0.13 -427.00 -0.51 45 3.2039 9909.48 0.34 -1271.42 -0.28 46 3.2066 9911.15 -0.02 -1271.68 0.13 47 3.8781 20331.07 0.34 -1556.70 0.27 48 3.8781 20330.12 0.39 -1556.62 0.36 49 3.8782 20328.77 0.36 -1556.71 0.30 50 5.9013 28421.82 ( 1.97) -2363.35 ( 0.94) 51 5.9039 28363.60 -0.38 -2365.29 0.34 52 5.9041 28359.16 -0.07 -2365.60 0.11
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 39.716 39.725 39.707 ecceobj 0.170 0.170 0.170 incobj 5.292 5.292 5.292 qmin 31.791 31.799 31.760 qmax 47.644 47.725 47.647 amean 39.456 39.457 39.456 amin 39.025 39.019 39.043 amax 39.926 39.948 39.952 emean 0.177 0.177 0.177 emin 0.159 0.159 0.158 emax 0.194 0.195 0.194 imean 4.962 4.970 4.956 imin 4.469 4.468 4.460 imax 5.617 5.616 5.619 fracstop 1.000 1.000 1.000 cjmean 3.008 3.008 3.008 libcent 0 180.2 180.3 180.1 libamp 0 78.0 82.4 74.4 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 184.7 184.0 184.1 kozaiamp 179.9 180.0 180.0