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: 99OZ3
# Created Sun Nov 24 02:07:58 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 32 observations of 32
# Arc: 23.10y
# First observation: 1999/07/21
# Last observation: 2022/08/27
# Chi-squared of fit: 206.24 DOF: 58 RMS: 0.45
# Min/Max residuals: -0.84 0.89
# Exact a, adot, b, bdot, g, gdot:
1.209326E-05 2.169992E-02 -4.797593E-07 -9.673713E-04 2.310949E-02 -1.580825E-03
# Covariance matrix:
1.7375E-13 -3.0296E-14 -1.1047E-15 9.6571E-16 1.9734E-13 -4.8396E-14
-3.0296E-14 1.2999E-14 5.5797E-16 -5.1675E-16 -3.7909E-14 2.5141E-14
-1.1047E-15 5.5797E-16 8.0832E-14 -4.8528E-15 -1.5703E-15 1.1450E-15
9.6571E-16 -5.1675E-16 -4.8528E-15 7.2005E-16 1.2849E-15 -1.0656E-15
1.9734E-13 -3.7909E-14 -1.5703E-15 1.2849E-15 4.6806E-13 -6.6685E-14
-4.8396E-14 2.5141E-14 1.1450E-15 -1.0656E-15 -6.6685E-14 5.1715E-14
# lat0 lon0 xBary yBary zBary JD0
0.056524 -43.046838 0.330512 0.000713 -0.958321 2451381.041183
# Heliocentric elements and errors
Epoch: 2451380.5000 = 1999/07/21
Mean Anomaly: 273.84401 +/- 0.002
Argument of Peri: 274.42081 +/- 0.004
Long of Asc Node: 137.77587 +/- 0.000
Inclination: 2.54930 +/- 0.000
Eccentricity: 0.08297711 +/- 0.0002
Semi-Major Axis: 44.17844052 +/- 0.1535
Time of Perihelion: 2477048.7916 +/- 425.3
Perihelion: 40.51264114 +/- 0.1410
Aphelion: 47.84423991 +/- 0.1665
Period (y) 293.6458 +/- 1.53
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 32.10614474 +/- 0.0013
Ecliptic Y -30.43128930 +/- 0.0013
Ecliptic Z 0.04268225 +/- 0.0000
Ecliptic XDOT 0.00161461 +/- 0.0000
Ecliptic YDOT 0.00201504 +/- 0.0000
Ecliptic ZDOT -0.00011475 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.23657365 +/- 0.0013
Geocenter to KBO 43.27234766 +/- 0.0018
# Hcoef: 7.11
The following table shows the complete astrometric record for 99OZ3. 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 (99OZ3) followed by the observatory code and reference code for the source of the astrometry.
1999 07 21.54044 21 17 32.81 -15 42 03.3 23.4R 99OZ3 568 Ca5927 1999 07 21.56743 21 17 32.71 -15 42 03.6 99OZ3 568 Ca5927 1999 07 21.59867 21 17 32.58 -15 42 04.1 99OZ3 568 Ca5927 1999 08 06.23268 21 16 23.61 -15 47 27.5 99OZ3 807 Ca6755 1999 08 07.15300 21 16 19.48 -15 47 47.4 99OZ3 807 Ca6755 1999 08 07.15868 21 16 19.46 -15 47 47.6 99OZ3 807 Ca6755 1999 08 07.33004 21 16 18.68 -15 47 51.3 99OZ3 807 Ca6755 1999 08 07.33572 21 16 18.60 -15 47 51.3 99OZ3 807 Ca6755 1999 08 07.34140 21 16 18.63 -15 47 51.4 99OZ3 807 Ca6755 1999 08 09.37583 21 16 09.36 -15 48 34.6 23.4R 99OZ3 675 Ca5927 1999 08 09.38318 21 16 09.33 -15 48 34.9 23.5R 99OZ3 675 Ca5927 1999 08 09.40595 21 16 09.22 -15 48 35.4 23.4R 99OZ3 675 Ca5927 1999 08 09.41334 21 16 09.20 -15 48 35.5 23.3R 99OZ3 675 Ca5927 1999 08 09.43602 21 16 09.10 -15 48 36.1 23.6R 99OZ3 675 Ca5927 2000 08 05.44974 21 21 24.13 -15 27 54.1 23.4R 99OZ3 568 Cb7609 2000 08 05.49114 21 21 23.94 -15 27 55.2 23.2R 99OZ3 568 Cb7609 2000 08 05.53261 21 21 23.73 -15 27 55.9 23.6R 99OZ3 568 Cb7609 2000 08 06.43790 21 21 19.68 -15 28 15.4 23.7R 99OZ3 568 Cb7609 2000 08 06.48026 21 21 19.48 -15 28 16.6 99OZ3 568 Cb7609 2001 09 19.28313 21 23 17.95 -15 22 58.2 23.1R 99OZ3 675 Ce0165 2001 09 19.28842 21 23 17.94 -15 22 58.4 23.2R 99OZ3 675 Ce0165 2001 09 19.31659 21 23 17.82 -15 22 59.1 23.2R 99OZ3 675 Ce0165 2013 08 07.17774 22 26 29.02 -10 32 50.7 23.6 99OZ3 W84 C~5i0r 2013 08 07.24501 22 26 28.74 -10 32 52.1 23.6 99OZ3 W84 C~5i0r 2013 08 07.29258 22 26 28.53 -10 32 53.3 23.6 99OZ3 W84 C~5i0r 2015 05 27.351097 22 38 39.96 -09 26 36.8 23.6r 99OZ3 W84 C~1j7P 2015 05 27.372572 22 38 39.98 -09 26 36.5 23.4r 99OZ3 W84 C~1j7P 2015 05 27.394052 22 38 39.99 -09 26 36.5 23.4r 99OZ3 W84 C~1j7P 2015 05 27.415544 22 38 40.01 -09 26 36.3 23.5r 99OZ3 W84 C~1j7P 2015 05 28.348963 22 38 40.97 -09 26 32.4 22.9r 99OZ3 W84 C~1j7P 2022 08 27.286760 23 10 36.767 -06 37 46.58 23.0G 99OZ3 G37 C~5nDp 2022 08 27.333490 23 10 36.563 -06 37 47.84 99OZ3 G37 C~5nDp
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 0.57 0.00 0.14
2 0.0001 0.00 0.82 0.00 0.37
3 0.0002 0.00 0.89 0.00 0.49
4 0.0430 0.00 -0.13 0.00 0.04
5 0.0455 0.00 0.25 0.00 -0.40
6 0.0455 0.00 0.34 0.00 -0.48
7 0.0460 0.00 0.45 0.00 -0.57
8 0.0460 0.00 -0.36 0.00 -0.45
9 0.0460 0.00 0.48 0.00 -0.43
10 0.0516 0.00 -0.48 0.00 -0.37
11 0.0516 0.00 -0.43 0.00 -0.52
12 0.0517 0.00 -0.51 0.00 -0.54
13 0.0517 0.00 -0.30 0.00 -0.49
14 0.0517 0.00 -0.23 0.00 -0.61
15 1.0429 0.00 -0.54 0.00 0.67
16 1.0430 0.00 -0.54 0.00 0.46
17 1.0431 0.00 -0.84 0.00 0.65
18 1.0456 0.00 -0.50 0.00 0.65
19 1.0457 0.00 -0.58 0.00 0.36
20 2.1649 0.00 0.57 0.00 0.72
21 2.1649 0.00 0.69 0.00 0.60
22 2.1650 0.00 0.34 0.00 0.36
23 14.0469 0.00 -0.17 0.00 -0.60
24 14.0471 0.00 -0.15 0.00 -0.33
25 14.0472 0.00 -0.32 0.00 -0.36
26 15.8489 0.00 0.32 0.00 -0.03
27 15.8490 0.00 0.30 0.00 0.18
28 15.8490 0.00 0.12 0.00 0.08
29 15.8491 0.00 0.10 0.00 0.18
30 15.8516 0.00 0.01 0.00 0.05
31 23.1013 0.00 -0.08 0.00 0.09
32 23.1014 0.00 -0.09 0.00 0.13
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.
99OZ3 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.108 44.108 44.108 ecceobj 0.083 0.083 0.083 incobj 2.550 2.550 2.550 qmin 39.171 39.169 39.137 qmax 49.149 49.131 49.132 amean 44.022 44.022 44.022 amin 43.670 43.668 43.664 amax 44.410 44.407 44.403 emean 0.090 0.090 0.090 emin 0.073 0.072 0.073 emax 0.107 0.107 0.107 imean 2.243 2.243 2.243 imin 1.350 1.350 1.350 imax 2.969 2.969 2.967 excite_mean 0.099 0.099 0.099 fracstop 1.000 1.000 1.000 cjmean 3.090 3.090 3.090 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 182.3 182.4 182.5 kozaiamp 180.0 180.0 180.0