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: 07BO81
# Created Wed Dec 25 02:08:53 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 33 observations of 33
# Arc: 17.43y
# First observation: 2003/11/21
# Last observation: 2021/04/28
# Chi-squared of fit: 129.77 DOF: 60 RMS: 0.35
# Min/Max residuals: -1.25 0.46
# Exact a, adot, b, bdot, g, gdot:
1.973201E-05 3.335288E-02 1.422142E-06 5.640128E-03 2.800627E-02 -5.316518E-04
# Covariance matrix:
4.6882E-13 -1.2171E-13 3.9993E-14 -2.2695E-14 2.0862E-13 -2.1439E-13
-1.2171E-13 4.4288E-14 -1.4774E-14 8.1082E-15 -3.8047E-14 7.5610E-14
3.9993E-14 -1.4774E-14 7.8407E-14 -1.0957E-14 1.3543E-14 -2.6523E-14
-2.2695E-14 8.1082E-15 -1.0957E-14 3.7047E-15 -8.3183E-15 1.4644E-14
2.0862E-13 -3.8047E-14 1.3543E-14 -8.3183E-15 1.6018E-13 -8.0841E-14
-2.1439E-13 7.5610E-14 -2.6523E-14 1.4644E-14 -8.0841E-14 1.3689E-13
# lat0 lon0 xBary yBary zBary JD0
1.111203 124.198693 0.898880 0.007966 -0.407482 2452965.135868
# Heliocentric elements and errors
Epoch: 2452964.5000 = 2003/11/21
Mean Anomaly: 355.76550 +/- 0.002
Argument of Peri: 15.74840 +/- 0.003
Long of Asc Node: 116.32021 +/- 0.000
Inclination: 9.67683 +/- 0.000
Eccentricity: 0.34338878 +/- 0.0001
Semi-Major Axis: 54.84292841 +/- 0.0063
Time of Perihelion: 2454709.4321 +/- 25.2
Perihelion: 36.01048227 +/- 0.0054
Aphelion: 73.67537455 +/- 0.0092
Period (y) 406.1525 +/- 0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -19.55491373 +/- 0.0003
Ecliptic Y 30.37189946 +/- 0.0004
Ecliptic Z 0.69249335 +/- 0.0000
Ecliptic XDOT -0.00266603 +/- 0.0000
Ecliptic YDOT -0.00189061 +/- 0.0000
Ecliptic ZDOT 0.00055041 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 36.12933007 +/- 0.0004
Geocenter to KBO 35.70633347 +/- 0.0005
# Hcoef: 7.32
The following table shows the complete astrometric record for 07BO81. 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 (07BO81) followed by the observatory code and reference code for the source of the astrometry.
2003 11 21.635125 08 27 13.75 +20 17 14.7 22.7r 07BO81 T14 C~63SK 2004 03 17.263056 08 18 33.79 +20 53 01.1 23.0r 07BO81 645 C~63SK 2004 03 17.263886 08 18 33.79 +20 53 01.3 07BO81 645 C~63SK 2004 03 17.266373 08 18 33.80 +20 53 01.2 07BO81 645 C~63SK 2004 12 12.395714 08 34 35.44 +20 13 09.4 07BO81 645 C~63SK 2005 01 16.325568 08 31 48.19 +20 25 47.2 23.6g 07BO81 T14 C~63SK 2005 01 16.367536 08 31 47.96 +20 25 48.4 07BO81 T14 C~63SK 2005 01 16.405378 08 31 47.75 +20 25 49.2 07BO81 T14 C~63SK 2005 04 05.307486 08 26 16.60 +20 47 40.4 07BO81 T14 C~63SK 2005 04 05.366330 08 26 16.54 +20 47 40.6 07BO81 T14 C~63SK 2005 04 06.253408 08 26 15.75 +20 47 44.0 07BO81 T14 C~63SK 2005 04 06.318531 08 26 15.69 +20 47 44.1 22.6i 07BO81 T14 C~63SK 2006 01 31.370525 08 38 48.70 +20 21 34.8 07BO81 T14 C~63SK 2006 02 01.408213 08 38 42.82 +20 21 59.9 22.5r 07BO81 T14 C~63SK 2006 02 01.454806 08 38 42.54 +20 22 01.0 07BO81 T14 C~63SK 2006 02 01.494826 08 38 42.30 +20 22 01.9 07BO81 T14 C~63SK 2006 11 23.495026 08 51 54.75 +19 45 28.9 07BO81 T14 C~63SK 2006 11 24.485884 08 51 53.58 +19 45 40.4 22.9i 07BO81 T14 C~63SK 2006 11 24.537435 08 51 53.51 +19 45 40.8 07BO81 T14 C~63SK 2006 11 24.589395 08 51 53.43 +19 45 41.5 07BO81 T14 C~63SK 2007 01 19.31515 08 48 21.66 +20 04 50.1 23.2g 07BO81 568 C~00qs 2007 01 19.35792 08 48 21.43 +20 04 51.2 23.1g 07BO81 568 C~00qs 2007 01 19.39063 08 48 21.24 +20 04 52.1 23.6g 07BO81 568 C~00qs 2007 01 20.37855 08 48 15.75 +20 05 17.4 23.4g 07BO81 568 C~00qs 2008 01 06.367639 08 57 52.02 +19 45 58.1 22.9r 07BO81 T14 C~63SK 2008 01 06.433222 08 57 51.70 +19 45 59.7 07BO81 T14 C~63SK 2008 01 06.462159 08 57 51.55 +19 46 00.5 07BO81 T14 C~63SK 2008 01 07.517899 08 57 46.36 +19 46 27.4 22.4r 07BO81 T14 C~63SK 2008 01 07.546489 08 57 46.22 +19 46 28.1 07BO81 T14 C~63SK 2008 01 07.575012 08 57 46.07 +19 46 28.8 07BO81 T14 C~63SK 2016 03 02.164567 09 58 37.75 +17 39 02.3 07BO81 W84 C~63SK 2021 04 28.087478 10 34 01.35 +15 46 02.8 07BO81 W84 C~63SK 2021 04 28.089685 10 34 01.35 +15 46 02.8 07BO81 W84 C~63SK
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 -0.10 0.00 0.40
2 0.3193 0.00 -0.04 0.00 -0.01
3 0.3193 0.00 -0.00 0.00 0.18
4 0.3193 0.00 0.25 0.00 0.05
5 1.0589 0.00 0.16 0.00 -0.12
6 1.1545 0.00 -0.20 0.00 0.12
7 1.1546 0.00 -0.08 0.00 0.31
8 1.1547 0.00 0.01 0.00 0.20
9 1.3708 0.00 -0.03 0.00 0.10
10 1.3709 0.00 -0.02 0.00 0.09
11 1.3734 0.00 -0.05 0.00 0.14
12 1.3735 0.00 -0.03 0.00 0.02
13 2.1950 0.00 -0.06 0.00 0.28
14 2.1979 0.00 0.02 0.00 0.46
15 2.1980 0.00 -0.15 0.00 0.44
16 2.1981 0.00 -0.29 0.00 0.39
17 3.0058 0.00 0.04 0.00 0.09
18 3.0085 0.00 -0.01 0.00 0.23
19 3.0086 0.00 -0.05 0.00 0.01
20 3.0088 0.00 -0.20 0.00 0.09
21 3.1613 0.00 0.20 0.00 -1.23
22 3.1615 0.00 0.35 0.00 -1.25
23 3.1615 0.00 0.26 0.00 -1.19
24 3.1643 0.00 0.06 0.00 -1.23
25 4.1252 0.00 -0.02 0.00 0.20
26 4.1254 0.00 0.06 0.00 0.11
27 4.1255 0.00 -0.03 0.00 0.18
28 4.1284 0.00 -0.02 0.00 0.25
29 4.1284 0.00 0.04 0.00 0.22
30 4.1285 0.00 -0.05 0.00 0.20
31 12.2780 0.00 -0.18 0.00 0.20
32 17.4331 0.00 0.05 0.00 0.07
33 17.4331 0.00 0.11 0.00 0.07
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.
07BO81 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 54.408 54.408 54.409 ecceobj 0.338 0.338 0.338 incobj 9.691 9.691 9.691 qmin 34.982 34.936 35.047 qmax 74.425 74.864 75.240 amean 54.240 54.274 54.414 amin 53.588 53.572 53.633 amax 55.049 55.252 55.491 emean 0.339 0.340 0.341 emin 0.326 0.327 0.327 emax 0.355 0.356 0.356 imean 8.071 8.028 8.019 imin 7.283 7.283 7.283 imax 8.927 8.930 8.972 excite_mean 0.367 0.368 0.368 fracstop 1.000 1.000 1.000 cjmean 3.055 3.055 3.056 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 172.2 172.2 169.6 kozaiamp 179.9 180.0 179.9