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: 99OA4
# Created Thu May 2 01:09:58 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 27 observations of 27
# Arc: 7.01y
# First observation: 1999/07/21
# Last observation: 2006/07/24
# Chi-squared of fit: 73.19 DOF: 48 RMS: 0.29
# Min/Max residuals: -0.80 0.69
# Exact a, adot, b, bdot, g, gdot:
1.363248E-05 2.032822E-02 -6.943836E-07 -1.110300E-03 2.231138E-02 1.359276E-03
# Covariance matrix:
2.0989E-13 -1.4592E-14 4.2867E-16 -5.9094E-16 3.7168E-13 7.2952E-14
-1.4592E-14 4.5512E-13 1.8678E-14 -2.5013E-14 1.2826E-12 3.1485E-12
4.2867E-16 1.8678E-14 1.1005E-13 -2.4351E-14 5.4128E-14 1.3235E-13
-5.9094E-16 -2.5013E-14 -2.4351E-14 1.2162E-14 -7.2546E-14 -1.7724E-13
3.7168E-13 1.2826E-12 5.4128E-14 -7.2546E-14 4.8975E-12 9.1266E-12
7.2952E-14 3.1485E-12 1.3235E-13 -1.7724E-13 9.1266E-12 2.2310E-11
# lat0 lon0 xBary yBary zBary JD0
0.021558 -43.016768 0.331015 0.000128 -0.958148 2451381.041183
# Heliocentric elements and errors
Epoch: 2451380.5000 = 1999/07/21
Mean Anomaly: 112.88393 +/- 0.161
Argument of Peri: 60.33567 +/- 0.128
Long of Asc Node: 136.96472 +/- 0.000
Inclination: 3.11896 +/- 0.000
Eccentricity: 0.06250942 +/- 0.0003
Semi-Major Axis: 44.55874748 +/- 0.0135
Time of Perihelion: 2417314.0005 +/- 51.1
Perihelion: 41.77340616 +/- 0.0178
Aphelion: 47.34408880 +/- 0.0190
Period (y) 297.4457 +/- 0.13
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 33.25346934 +/- 0.0032
Ecliptic Y -31.47063391 +/- 0.0030
Ecliptic Z 0.01684646 +/- 0.0000
Ecliptic XDOT 0.00182031 +/- 0.0000
Ecliptic YDOT 0.00171854 +/- 0.0000
Ecliptic ZDOT -0.00013614 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.78417825 +/- 0.0032
Geocenter to KBO 44.82015925 +/- 0.0044
# Hcoef: 7.90
The following table shows the complete astrometric record for 99OA4. 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 (99OA4) followed by the observatory code and reference code for the source of the astrometry.
1999 07 21.54044 21 17 42.59 -15 43 30.6 24.3R 99OA4 568 Ca5927 1999 07 21.56743 21 17 42.48 -15 43 30.6 99OA4 568 Ca5927 1999 07 21.59867 21 17 42.36 -15 43 31.4 99OA4 568 Ca5927 1999 08 09.37583 21 16 21.65 -15 49 51.3 23.9R 99OA4 675 Ca5927 1999 08 09.38318 21 16 21.67 -15 49 52.0 24.5R 99OA4 675 Ca5927 1999 08 09.40595 21 16 21.54 -15 49 52.1 23.9R 99OA4 675 Ca5927 1999 08 09.41334 21 16 21.54 -15 49 52.8 24.1R 99OA4 675 Ca5927 1999 08 09.43602 21 16 21.46 -15 49 53.4 24.3R 99OA4 675 Ca5927 2000 08 03.18560 21 21 27.16 -15 30 23.3 23.6R 99OA4 809 Cb9102 2000 08 03.29148 21 21 26.66 -15 30 25.3 99OA4 809 Cb9102 2000 08 03.31839 21 21 26.56 -15 30 26.3 24.7R 99OA4 809 Cb9102 2000 08 05.44974 21 21 17.34 -15 31 11.2 24.2R 99OA4 568 Cb9102 2000 08 05.49114 21 21 17.12 -15 31 11.9 23.7R 99OA4 568 Cb9102 2000 08 05.53261 21 21 16.92 -15 31 12.7 99OA4 568 Cb9102 2000 08 06.43790 21 21 13.03 -15 31 31.5 99OA4 568 Cb9102 2000 08 06.48026 21 21 12.83 -15 31 32.5 99OA4 568 Cb9102 2000 08 06.52202 21 21 12.63 -15 31 33.4 99OA4 568 Cb9102 2001 08 11.31470 21 25 32.62 -15 15 16.7 99OA4 807 Cg0818 2001 08 11.35089 21 25 32.44 -15 15 17.3 99OA4 807 Cg0818 2002 09 03.24883 21 28 34.53 -15 05 03.5 99OA4 309 Cg0818 2002 09 03.28766 21 28 34.38 -15 05 04.3 99OA4 309 Cg0818 2002 09 03.29517 21 28 34.34 -15 05 04.3 99OA4 309 Cg0818 2002 09 03.32699 21 28 34.21 -15 05 04.8 99OA4 309 Cg0818 2006 07 24.70601 21 49 41.70 -13 35 02.6 23.9R 99OA4 250 S~06AK 2006 07 24.71041 21 49 41.67 -13 35 02.7 99OA4 250 S~06AK 2006 07 24.71481 21 49 41.66 -13 35 02.8 99OA4 250 S~06AK 2006 07 24.71921 21 49 41.64 -13 35 02.9 99OA4 250 S~06AK
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 0.16 0.00 0.03
2 0.0001 0.00 0.21 0.00 0.55
3 0.0002 0.00 0.37 0.00 0.35
4 0.0516 0.00 -0.80 0.00 0.69
5 0.0516 0.00 -0.01 0.00 0.14
6 0.0517 0.00 -0.44 0.00 0.51
7 0.0517 0.00 0.06 0.00 -0.04
8 0.0517 0.00 0.37 0.00 -0.17
9 1.0367 0.00 -0.02 0.00 -0.09
10 1.0370 0.00 -0.52 0.00 0.11
11 1.0370 0.00 -0.24 0.00 -0.33
12 1.0429 0.00 0.44 0.00 -0.54
13 1.0430 0.00 -0.10 0.00 -0.38
14 1.0431 0.00 -0.35 0.00 -0.32
15 1.0456 0.00 0.44 0.00 -0.16
16 1.0457 0.00 0.26 0.00 -0.27
17 1.0458 0.00 0.04 0.00 -0.30
18 2.0582 0.00 0.01 0.00 -0.20
19 2.0583 0.00 -0.30 0.00 -0.04
20 3.1204 0.00 0.14 0.00 -0.04
21 3.1205 0.00 0.26 0.00 -0.08
22 3.1205 0.00 0.11 0.00 0.06
23 3.1206 0.00 0.09 0.00 0.18
24 7.0094 0.00 0.16 0.00 -0.00
25 7.0094 0.00 -0.04 0.00 -0.01
26 7.0094 0.00 0.07 0.00 -0.02
27 7.0094 0.00 0.02 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.
99OA4 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.486 44.486 44.486 ecceobj 0.063 0.063 0.063 incobj 3.120 3.120 3.120 qmin 40.814 40.828 40.804 qmax 48.290 48.299 48.316 amean 44.447 44.447 44.447 amin 44.097 44.094 44.095 amax 44.818 44.819 44.814 emean 0.063 0.063 0.063 emin 0.048 0.048 0.049 emax 0.078 0.078 0.079 imean 2.252 2.252 2.252 imin 1.647 1.647 1.647 imax 2.908 2.908 2.908 excite_mean 0.075 0.075 0.075 fracstop 1.000 1.000 1.000 cjmean 3.100 3.100 3.100 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 186.8 186.9 186.8 kozaiamp 179.9 180.0 179.9