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: 99OC4 # Created Sun Nov 24 02:07:59 2024 # Orbit generated from Bernstein formalism # Fitting 22 observations of 24 # Arc: 2.02y # First observation: 1999/07/18 # Last observation: 2001/07/25 Preliminary a, adot, b, bdot, g, gdot: 0.000017 0.026036 -0.000001 -0.000086 0.025234 0.000000 # Chi-squared of fit: 18.42 DOF: 38 RMS: 0.16 # Min/Max residuals: -0.38 0.32 # Exact a, adot, b, bdot, g, gdot: 1.496164E-05 2.617144E-02 -5.494310E-07 -8.646384E-05 2.534184E-02 3.717878E-03 # Covariance matrix: 2.4148E-13 -3.4241E-13 -1.7391E-16 7.2531E-16 -1.2888E-13 -4.3103E-12 -3.4241E-13 2.9050E-12 1.5450E-15 -9.4648E-15 2.8487E-12 5.3935E-11 -1.7391E-16 1.5450E-15 2.0300E-13 -1.3922E-13 1.3869E-15 3.1046E-14 7.2531E-16 -9.4648E-15 -1.3922E-13 1.4289E-13 -9.6619E-15 -1.8524E-13 -1.2888E-13 2.8487E-12 1.3869E-15 -9.6619E-15 3.2146E-12 5.4452E-11 -4.3103E-12 5.3935E-11 3.1046E-14 -1.8524E-13 5.4452E-11 1.0582E-09 # lat0 lon0 xBary yBary zBary JD0 -1.179563 -43.993101 0.362808 -0.019733 -0.946987 2451378.033663 # Heliocentric elements and errors Epoch: 2451370.5000 = 1999/07/11 Mean Anomaly: 40.48534 +/- 0.141 Argument of Peri: 204.21120 +/- 0.271 Long of Asc Node: 55.61511 +/- 0.040 Inclination: 1.16992 +/- 0.000 Eccentricity: 0.17266464 +/- 0.0011 Semi-Major Axis: 45.71091712 +/- 0.0135 Time of Perihelion: 2438675.7658 +/- 44.0 Perihelion: 37.81825815 +/- 0.0506 Aphelion: 53.60357608 +/- 0.0518 Period (y) 309.0567 +/- 0.14 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.82047272 +/- 0.0020 Ecliptic Y -28.31932364 +/- 0.0019 Ecliptic Z -0.81233013 +/- 0.0001 Ecliptic XDOT 0.00224923 +/- 0.0000 Ecliptic YDOT 0.00176387 +/- 0.0000 Ecliptic ZDOT -0.00001756 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.41365634 +/- 0.0020 Geocenter to KBO 39.46043115 +/- 0.0028 # Hcoef: 8.26
The following table shows the complete astrometric record for 99OC4. 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 (99OC4) followed by the observatory code and reference code for the source of the astrometry.
1999 07 18.53292 21 15 20.02 -17 09 51.6 23.7R 99OC4 568 Ca6755 1999 07 18.56035 21 15 19.87 -17 09 52.3 99OC4 568 Ca6755 1999 07 18.58696 21 15 19.76 -17 09 52.8 99OC4 568 Ca6755 1999 07 20.47047 21 15 11.18 -17 10 33.1 24.0R 99OC4 568 Ca6755 1999 07 20.49830 21 15 11.03 -17 10 33.4 99OC4 568 Ca6755 1999 07 20.52528 21 15 10.91 -17 10 34.1 99OC4 568 Ca6755 1999 08 07.17330 21 13 46.22 -17 16 59.5 99OC4 807 Ca6755 1999 08 07.35260 21 13 45.29 -17 17 02.9 99OC4 807 Ca6755 2000 08 05.46359 21 19 49.94 -16 49 50.7 99OC4 568 Cb7609 2000 08 05.50507 21 19 49.75 -16 49 52.0 23.8R 99OC4 568 Cb7609 2000 08 05.54662 21 19 49.53 -16 49 52.8 99OC4 568 Cb7609 2000 08 06.45166 21 19 45.11 -16 50 13.0 99OC4 568 Cb7609 2000 08 06.49431 21 19 44.91 -16 50 14.2 23.6R 99OC4 568 Cb7609 2000 08 06.53623 21 19 44.71 -16 50 15.1 23.7R 99OC4 568 Cb7609 2000 09 23.32603 21 16 16.28 -17 05 33.5 24.5R 99OC4 568 Cc0831 2000 09 23.37426 21 16 16.12 -17 05 34.0 24.6R 99OC4 568 Cc0831 2000 09 23.40063 21 16 16.01 -17 05 34.5 24.1R 99OC4 568 Cc0831 2000 09 24.25800 21 16 13.31 -17 05 45.7 24.2R 99OC4 568 Cc0831 2000 09 24.30741 21 16 13.16 -17 05 46.6 24.9R 99OC4 568 Cc0831 2000 09 24.36601 21 16 12.95 -17 05 47.2 24.1R 99OC4 568 Cc0831 2001 07 24.50248 21 26 42.00 -16 18 00.2 23.3R 99OC4 568 Cd2765 2001 07 24.55348 21 26 41.76 -16 18 01.4 23.8R 99OC4 568 Cd2765 2001 07 24.59528 21 26 41.56 -16 18 02.2 23.7R 99OC4 568 Cd2765 2001 07 25.60612 21 26 36.94 -16 18 24.7 99OC4 568 Cd2765
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 0.28 0.00 0.10
2 0.0001 -2.26 -0.08 -0.02 0.08
3 0.0001 -3.91 0.11 -0.03 0.08
4 0.0053 -133.30 -0.00 -1.66 -0.27
5 0.0054 -135.44 -0.18 -1.31 0.09
6 0.0055 -137.30 -0.13 -1.46 -0.06
7 0.0538 -1410.38 ( 1.21) -7.17 ( 0.46)
8 0.0543 -1424.11 ( 0.92) -6.45 ( 1.12)
9 1.0511 4054.32 -0.03 -25.59 0.04
10 1.0513 4051.33 0.08 -25.99 -0.38
11 1.0514 4048.08 -0.07 -25.79 -0.19
12 1.0539 3981.45 -0.11 -25.68 0.06
13 1.0540 3978.35 -0.01 -25.94 -0.23
14 1.0541 3975.34 0.11 -25.93 -0.23
15 1.1849 846.76 0.20 4.20 0.19
16 1.1851 844.42 0.22 4.41 0.32
17 1.1851 842.77 -0.14 4.41 0.27
18 1.1875 802.48 -0.04 5.36 0.20
19 1.1876 800.16 0.01 5.15 -0.09
20 1.1878 797.10 -0.23 5.48 0.14
21 2.0177 10287.05 -0.05 -39.67 -0.04
22 2.0179 10283.39 -0.10 -39.73 -0.09
23 2.0180 10280.40 -0.13 -39.59 0.05
24 2.0207 10210.01 0.29 -40.14 -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.
99OC4 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.618 45.658 45.578 ecceobj 0.171 0.174 0.168 incobj 1.170 1.170 1.170 qmin 37.210 37.095 37.295 qmax 54.362 54.505 54.138 amean 45.564 45.611 45.492 amin 45.174 45.209 45.067 amax 46.029 46.071 45.968 emean 0.163 0.168 0.163 emin 0.147 0.151 0.148 emax 0.181 0.184 0.178 imean 1.477 1.487 1.262 imin 0.551 0.532 0.380 imax 2.269 2.276 1.904 excite_mean 0.166 0.170 0.165 fracstop 1.000 1.000 1.000 cjmean 3.087 3.085 3.086 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 173.8 169.2 174.2 kozaiamp 180.0 180.0 180.0