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: 99OK4 # Created Fri Nov 22 02:08:01 2024 # Orbit generated from Bernstein formalism # Fitting 19 observations of 20 # Arc: 3.97y # First observation: 1999/07/19 # Last observation: 2003/07/09 Preliminary a, adot, b, bdot, g, gdot: 0.000007 0.017525 -0.000028 -0.010109 0.022440 0.000000 # Chi-squared of fit: 18.35 DOF: 32 RMS: 0.17 # Min/Max residuals: -0.34 0.36 # Exact a, adot, b, bdot, g, gdot: 1.195921E-05 1.769630E-02 -5.967401E-06 -1.021514E-02 2.262983E-02 3.190211E-03 # Covariance matrix: 2.9443E-13 -1.8157E-13 -1.1949E-14 3.7238E-14 5.0391E-13 -1.0080E-12 -1.8157E-13 3.7431E-13 5.3726E-14 -1.6939E-13 -7.3253E-14 4.5555E-12 -1.1949E-14 5.3726E-14 1.3762E-13 -8.2831E-14 2.8445E-14 8.3494E-13 3.7238E-14 -1.6939E-13 -8.2831E-14 1.5168E-13 -9.1485E-14 -2.6356E-12 5.0391E-13 -7.3253E-14 2.8445E-14 -9.1485E-14 1.9877E-12 2.4333E-12 -1.0080E-12 4.5555E-12 8.3494E-13 -2.6356E-12 2.4333E-12 7.0833E-11 # lat0 lon0 xBary yBary zBary JD0 -0.424766 -56.734525 0.131408 -0.007698 -1.005568 2451378.843823 # Heliocentric elements and errors Epoch: 2451370.5000 = 1999/07/11 Mean Anomaly: 97.91939 +/- 0.127 Argument of Peri: 66.06065 +/- 0.095 Long of Asc Node: 122.38815 +/- 0.000 Inclination: 29.96831 +/- 0.001 Eccentricity: 0.15440017 +/- 0.0003 Semi-Major Axis: 43.30668282 +/- 0.0116 Time of Perihelion: 2423056.7764 +/- 34.8 Perihelion: 36.62012373 +/- 0.0178 Aphelion: 49.99324191 +/- 0.0200 Period (y) 284.9972 +/- 0.11 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 24.68813403 +/- 0.0015 Ecliptic Y -37.85862613 +/- 0.0023 Ecliptic Z -0.32783812 +/- 0.0000 Ecliptic XDOT 0.00199339 +/- 0.0000 Ecliptic YDOT 0.00086783 +/- 0.0000 Ecliptic ZDOT -0.00123865 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.19830762 +/- 0.0021 Geocenter to KBO 44.18946448 +/- 0.0028 # Hcoef: 7.54
The following table shows the complete astrometric record for 99OK4. 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 (99OK4) followed by the observatory code and reference code for the source of the astrometry.
1999 07 19.34308 20 22 40.77 -19 50 22.8 23.9R 99OK4 568 Ca7327 1999 07 19.37141 20 22 40.62 -19 50 23.4 99OK4 568 Ca7327 1999 07 19.39931 20 22 40.50 -19 50 23.9 99OK4 568 Ca7328 1999 08 09.20417 20 21 04.16 -19 57 48.4 23.8R 99OK4 675 Ca7328 1999 08 09.21328 20 21 04.12 -19 57 48.5 99OK4 675 Ca7328 1999 08 09.22811 20 21 04.05 -19 57 49.2 99OK4 675 Ca7328 1999 08 09.23552 20 21 04.02 -19 57 49.1 99OK4 675 Ca7328 1999 08 09.25111 20 21 03.96 -19 57 49.4 99OK4 675 Ca7328 1999 08 09.25873 20 21 03.91 -19 57 49.5 23.7R 99OK4 675 Ca7328 2000 08 07.06969 20 25 56.54 -20 17 12.0 99OK4 809 Cb9102 2000 08 07.11002 20 25 56.37 -20 17 13.0 23.7R 99OK4 809 Cb9102 2000 08 07.14955 20 25 56.17 -20 17 13.7 23.8R 99OK4 809 Cb9102 2000 08 08.07013 20 25 51.98 -20 17 33.0 23.5R 99OK4 809 Cb9102 2000 08 08.10216 20 25 51.85 -20 17 34.0 23.7R 99OK4 809 Cb9102 2000 08 08.13432 20 25 51.70 -20 17 34.5 99OK4 809 Cb9102 2001 06 27.26981 20 33 43.95 -20 21 25.7 99OK4 304 Cd2244 2001 06 27.34548 20 33 43.64 -20 21 27.4 99OK4 304 Cd2244 2003 07 08.43791 20 42 26.67 -21 01 38.7 23.7R 99OK4 568 Ci2600 2003 07 09.38701 20 42 22.67 -21 02 01.0 99OK4 568 Ci2600 2003 07 09.45790 20 42 22.38 -21 02 03.0 99OK4 568 Ci2600
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 0.08 0.00 -0.24
2 0.0001 -2.20 -0.15 -0.09 -0.17
3 0.0002 -3.96 0.03 -0.19 -0.10
4 0.0571 -1428.68 0.03 -119.09 0.27
5 0.0571 -1429.25 0.08 -119.06 0.36
6 0.0572 -1430.38 -0.04 -119.51 -0.01
7 0.0572 -1430.76 0.07 -119.32 0.22
8 0.0572 -1431.66 0.24 -119.42 0.21
9 0.0573 -1432.37 0.05 -119.35 0.31
10 1.0533 2304.65 -0.16 -2210.91 -0.15
11 1.0534 2302.09 0.04 -2211.31 -0.34
12 1.0535 2299.19 -0.16 -2211.33 -0.15
13 1.0561 2237.34 -0.18 -2216.13 0.05
14 1.0562 2235.33 -0.02 -2216.67 -0.32
15 1.0562 2233.16 0.01 -2216.65 -0.13
16 1.9409 8627.90 0.04 -4053.09 -0.02
17 1.9411 8623.25 -0.14 -4053.66 -0.10
18 3.9701 15135.64 ( 0.18) -8270.58 ( 0.80)
19 3.9727 15075.40 0.02 -8277.42 0.36
20 3.9729 15070.93 0.14 -8278.29 -0.04
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.
99OK4 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 43.242 43.276 43.208 ecceobj 0.155 0.155 0.154 incobj 29.994 29.994 29.995 qmin 35.834 35.888 35.836 qmax 51.038 51.136 50.987 amean 43.298 43.336 43.260 amin 42.938 42.962 42.921 amax 43.691 43.747 43.659 emean 0.153 0.152 0.152 emin 0.136 0.135 0.136 emax 0.169 0.169 0.169 imean 28.578 28.588 28.576 imin 28.202 28.191 28.199 imax 28.973 28.990 28.976 excite_mean 0.502 0.502 0.502 fracstop 1.000 1.000 1.000 cjmean 2.778 2.778 2.778 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 183.3 185.5 183.4 kozaiamp 179.9 180.0 180.0