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: 96RQ20 # Created Fri Nov 22 02:07:54 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 53 observations of 53 # Arc: 17.08y # First observation: 1996/09/06 # Last observation: 2013/10/07 # Chi-squared of fit: 610.04 DOF: 100 RMS: 0.60 # Min/Max residuals: -1.78 1.85 # Exact a, adot, b, bdot, g, gdot: 8.851167E-06 2.317365E-02 1.352886E-05 1.429771E-02 2.593272E-02 3.004357E-04 # Covariance matrix: 6.6517E-14 -7.1167E-15 2.8716E-15 -2.9908E-15 4.7993E-14 -1.3346E-14 -7.1167E-15 1.1144E-14 -5.7458E-15 6.3584E-15 1.0747E-14 2.6698E-14 2.8716E-15 -5.7458E-15 4.0612E-14 -7.0979E-15 -4.8176E-15 -1.5481E-14 -2.9908E-15 6.3584E-15 -7.0979E-15 5.2463E-15 5.6802E-15 1.7108E-14 4.7993E-14 1.0747E-14 -4.8176E-15 5.6802E-15 1.0857E-13 2.2380E-14 -1.3346E-14 2.6698E-14 -1.5481E-14 1.7108E-14 2.2380E-14 7.1932E-14 # lat0 lon0 xBary yBary zBary JD0 -0.239398 11.843413 0.463835 -0.003862 -0.886916 2450332.734930 # Heliocentric elements and errors Epoch: 2450332.5000 = 1996/09/06 Mean Anomaly: 1.74545 +/- 0.005 Argument of Peri: 357.39219 +/- 0.006 Long of Asc Node: 11.53774 +/- 0.000 Inclination: 31.63549 +/- 0.000 Eccentricity: 0.10400368 +/- 0.0000 Semi-Major Axis: 44.03181219 +/- 0.0025 Time of Perihelion: 2449815.0685 +/- 1.4 Perihelion: 39.45234174 +/- 0.0028 Aphelion: 48.61128263 +/- 0.0033 Period (y) 292.1851 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 38.70869593 +/- 0.0005 Ecliptic Y 7.63592622 +/- 0.0001 Ecliptic Z -0.16056349 +/- 0.0000 Ecliptic XDOT -0.00045807 +/- 0.0000 Ecliptic YDOT 0.00240670 +/- 0.0000 Ecliptic ZDOT 0.00150915 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.45498843 +/- 0.0005 Geocenter to KBO 38.56133024 +/- 0.0005 # Hcoef: 6.95
The following table shows the complete astrometric record for 96RQ20. 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 (96RQ20) followed by the observatory code and reference code for the source of the astrometry.
1996 09 06.23421 00 43 56.23 +04 27 44.6 22.6R 96RQ20 675 C28009 1996 09 06.28925 00 43 56.00 +04 27 43.5 96RQ20 675 C28009 1996 09 06.36167 00 43 55.65 +04 27 42.1 96RQ20 675 C28009 1996 09 06.42944 00 43 55.34 +04 27 41.2 96RQ20 675 C28009 1996 09 16.01451 00 43 11.01 +04 24 23.7 96RQ20 950 C28050 1996 09 16.04688 00 43 10.85 +04 24 22.8 96RQ20 950 C28050 1996 09 16.08161 00 43 10.70 +04 24 22.1 96RQ20 950 C28050 1996 09 19.96360 00 42 51.79 +04 22 56.1 96RQ20 950 C28050 1996 09 20.02245 00 42 51.54 +04 22 54.6 96RQ20 950 C28050 1996 09 20.99336 00 42 46.78 +04 22 32.9 96RQ20 950 C28050 1996 09 21.04044 00 42 46.55 +04 22 31.9 96RQ20 950 C28050 1996 10 11.35505 00 41 04.20 +04 14 39.5 22.4R 96RQ20 675 C28909 1996 10 11.39858 00 41 03.97 +04 14 38.5 96RQ20 675 C28909 1996 10 11.43550 00 41 03.79 +04 14 37.6 96RQ20 675 C28909 1996 11 13.13205 00 38 36.49 +04 03 49.3 96RQ20 711 C28519 1996 11 13.14026 00 38 36.47 +04 03 49.0 96RQ20 711 C28519 1996 11 13.15706 00 38 36.42 +04 03 49.0 96RQ20 711 C28519 1996 11 13.21869 00 38 36.17 +04 03 48.0 96RQ20 711 C28519 1996 11 13.22655 00 38 36.11 +04 03 47.8 96RQ20 711 C28519 1996 11 14.09724 00 38 32.93 +04 03 35.1 96RQ20 711 C28519 1996 11 14.10547 00 38 32.91 +04 03 35.2 96RQ20 711 C28519 1996 11 14.11340 00 38 32.80 +04 03 35.4 96RQ20 711 C28519 1996 11 14.12119 00 38 32.87 +04 03 34.8 96RQ20 711 C28519 1997 01 06.86736 00 37 21.12 +04 03 42.9 96RQ20 950 C29066 1997 01 08.87778 00 37 23.76 +04 04 16.8 96RQ20 950 C29066 1997 09 06.47723 00 47 34.42 +05 44 06.3 22.3R 96RQ20 568 C30562 1997 09 06.54293 00 47 34.12 +05 44 05.1 22.5R 96RQ20 568 C30562 1997 09 07.44656 00 47 30.10 +05 43 47.9 96RQ20 675 C30579 1997 09 07.46976 00 47 30.01 +05 43 47.4 96RQ20 675 C30579 1997 09 24.43753 00 46 09.67 +05 37 55.3 96RQ20 568 Ca0009 1997 09 24.51529 00 46 09.37 +05 37 53.5 96RQ20 568 Ca0009 1997 09 27.23241 00 45 55.65 +05 36 52.2 96RQ20 696 Ca0009 1997 09 27.34124 00 45 55.11 +05 36 49.4 22.6R 96RQ20 696 Ca0009 1997 09 27.43969 00 45 54.55 +05 36 47.0 96RQ20 696 Ca0009 1998 10 17.32156 00 47 54.84 +06 45 43.9 96RQ20 705 Ca2543 1998 10 17.35560 00 47 54.67 +06 45 43.1 96RQ20 705 Ca2543 1998 10 17.38808 00 47 54.51 +06 45 42.3 96RQ20 705 Ca2543 1998 10 18.32192 00 47 49.86 +06 45 20.7 96RQ20 705 Ca2543 1998 10 18.35945 00 47 49.68 +06 45 19.3 96RQ20 705 Ca2543 2000 09 05.23010 00 58 40.76 +09 32 38.0 22.9R 96RQ20 309 Cc7333 2000 09 05.23609 00 58 40.75 +09 32 37.9 24.3 96RQ20 309 Cc7333 2000 09 05.24201 00 58 40.71 +09 32 37.7 23.4V 96RQ20 309 Cc7333 2000 09 05.24685 00 58 40.68 +09 32 37.6 22.2I 96RQ20 309 Cc7333 2000 09 05.25162 00 58 40.67 +09 32 37.7 22.9R 96RQ20 309 Cc7333 2000 11 26.21554 00 52 24.66 +09 04 38.7 22.6R 96RQ20 695 Cc2083 2000 11 26.29288 00 52 24.43 +09 04 37.6 22.4R 96RQ20 695 Cc2083 2000 11 27.26503 00 52 21.50 +09 04 23.5 21.8R 96RQ20 695 Cc2083 2009 01 17.190345 01 21 20.73 +18 49 26.3 96RQ20 645 C~1PqX 2009 01 17.191174 01 21 20.73 +18 49 26.3 96RQ20 645 C~1PqX 2009 01 17.193662 01 21 20.74 +18 49 26.3 96RQ20 645 C~1PqX 2013 10 07.37412 01 47 33.58 +25 23 10.5 22.6R 96RQ20 695 C~0zdB 2013 10 07.43479 01 47 33.26 +25 23 09.8 96RQ20 695 C~0zdB 2013 10 07.49649 01 47 32.91 +25 23 08.8 96RQ20 695 C~0zdB
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 1.39 0.00 -0.49
2 0.0002 0.00 1.63 0.00 -0.53
3 0.0003 0.00 1.24 0.00 -0.52
4 0.0005 0.00 1.16 0.00 -0.11
5 0.0268 0.00 -0.39 0.00 0.36
6 0.0269 0.00 -0.43 0.00 0.17
7 0.0270 0.00 -0.14 0.00 0.22
8 0.0376 0.00 -1.54 0.00 0.01
9 0.0378 0.00 -0.90 0.00 -0.17
10 0.0404 0.00 -0.77 0.00 -0.02
11 0.0405 0.00 -0.69 0.00 0.04
12 0.0962 0.00 -0.28 0.00 0.06
13 0.0963 0.00 -0.39 0.00 0.08
14 0.0964 0.00 -0.27 0.00 0.03
15 0.1859 0.00 -0.20 0.00 0.57
16 0.1859 0.00 -0.04 0.00 0.39
17 0.1860 0.00 0.16 0.00 0.64
18 0.1861 0.00 -0.11 0.00 0.54
19 0.1862 0.00 -0.56 0.00 0.46
20 0.1885 0.00 -0.72 0.00 0.34
21 0.1886 0.00 -0.57 0.00 0.56
22 0.1886 0.00 -1.78 0.00 0.87
23 0.1886 0.00 -0.30 0.00 0.38
24 0.3358 0.00 0.68 0.00 -0.12
25 0.3413 0.00 1.04 0.00 0.00
26 1.0000 0.00 0.74 0.00 -0.24
27 1.0002 0.00 0.64 0.00 -0.24
28 1.0026 0.00 -0.10 0.00 -0.68
29 1.0027 0.00 0.12 0.00 -0.75
30 1.0492 0.00 0.43 0.00 -0.06
31 1.0494 0.00 1.85 0.00 -0.11
32 1.0568 0.00 0.01 0.00 0.30
33 1.0571 0.00 0.25 0.00 -0.02
34 1.0574 0.00 -0.61 0.00 -0.16
35 2.1111 0.00 -0.26 0.00 0.26
36 2.1112 0.00 -0.22 0.00 0.25
37 2.1113 0.00 -0.15 0.00 0.21
38 2.1139 0.00 -0.05 0.00 0.24
39 2.1140 0.00 0.10 0.00 -0.29
40 3.9973 0.00 0.18 0.00 -0.19
41 3.9973 0.00 0.41 0.00 -0.20
42 3.9973 0.00 0.19 0.00 -0.32
43 3.9973 0.00 0.06 0.00 -0.35
44 3.9973 0.00 0.21 0.00 -0.18
45 4.2217 0.00 -0.84 0.00 -0.80
46 4.2219 0.00 -0.67 0.00 -0.77
47 4.2246 0.00 -0.71 0.00 -0.88
48 12.3640 0.00 0.95 0.00 0.30
49 12.3640 0.00 0.93 0.00 0.31
50 12.3640 0.00 1.04 0.00 0.31
51 17.0846 0.00 -0.73 0.00 0.05
52 17.0847 0.00 -0.54 0.00 0.18
53 17.0849 0.00 -0.73 0.00 0.03
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.
96RQ20 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 44.226 44.226 44.226 ecceobj 0.108 0.108 0.108 incobj 31.584 31.584 31.584 qmin 38.539 38.539 38.539 qmax 49.555 49.556 49.555 amean 43.914 43.914 43.914 amin 43.564 43.564 43.564 amax 44.294 44.293 44.290 emean 0.105 0.105 0.105 emin 0.092 0.092 0.092 emax 0.120 0.120 0.120 imean 31.713 31.713 31.713 imin 31.447 31.447 31.447 imax 31.996 31.996 31.996 excite_mean 0.536 0.536 0.536 fracstop 1.000 1.000 1.000 cjmean 2.729 2.729 2.729 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 169.9 169.9 169.9 kozaiamp 180.0 179.9 180.0