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: 99RK257 # Created Sun Dec 22 02:08:05 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 8 observations of 8 # Arc: 2.07d # First observation: 1999/09/11 # Last observation: 1999/09/13 # Chi-squared of fit: 42.03 DOF: 10 RMS: 0.41 # Min/Max residuals: -0.62 0.56 # Exact a, adot, b, bdot, g, gdot: 1.527609E-05 2.579411E-02 -1.463869E-06 -4.681837E-03 2.536539E-02 -9.593763E-05 # Covariance matrix: 3.2824E-11 2.5998E-07 7.4018E-13 1.1213E-08 4.2840E-08 -5.2915E-09 2.5998E-07 2.0962E-03 5.9646E-09 9.0368E-05 3.4524E-04 -5.3258E-05 7.4018E-13 5.9646E-09 5.6555E-13 1.3758E-10 9.8240E-10 -3.8988E-11 1.1213E-08 9.0368E-05 1.3758E-10 3.9351E-06 1.4884E-05 -2.3851E-06 4.2840E-08 3.4524E-04 9.8240E-10 1.4884E-05 5.6863E-05 -8.4428E-06 -5.2915E-09 -5.3258E-05 -3.8988E-11 -2.3851E-06 -8.4428E-06 2.7229E-03 # lat0 lon0 xBary yBary zBary JD0 10.442038 -23.417331 -0.195896 0.177447 -0.964176 2451432.748913 # Heliocentric elements and errors Epoch: 2451432.5000 = 1999/09/11 Mean Anomaly: 359.77888 +/- 76.132 Argument of Peri: 135.10070 +/- 6.026 Long of Asc Node: 201.12128 +/- 0.649 Inclination: 14.44304 +/- 0.059 Eccentricity: 0.09740042 +/- 0.1644 Semi-Major Axis: 44.75404161 +/- 0.0166 Time of Perihelion: 2451499.6695 +/- 23126.7 Perihelion: 40.39497902 +/- 7.3565 Aphelion: 49.11310419 +/- 7.3565 Period (y) 299.4033 +/- 0.17 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.56291023 +/- 0.3986 Ecliptic Y -15.61594409 +/- 0.1727 Ecliptic Z 7.14516701 +/- 0.0801 Ecliptic XDOT 0.00117705 +/- 0.0010 Ecliptic YDOT 0.00253076 +/- 0.0005 Ecliptic ZDOT -0.00049878 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 40.39501884 +/- 0.3704 Geocenter to KBO 39.42383514 +/- 0.4417 # Hcoef: 8.42
The following table shows the complete astrometric record for 99RK257. 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 (99RK257) followed by the observatory code and reference code for the source of the astrometry.
1999 09 11.24817 22 17 56.96 +00 37 11.1 24.0I 99RK257 568 Ci2940 1999 09 11.28215 22 17 56.82 +00 37 09.7 99RK257 568 Ci2940 1999 09 12.26870 22 17 52.46 +00 36 38.9 24.5V 99RK257 568 Cd1603 1999 09 12.28405 22 17 52.39 +00 36 38.3 24.6V 99RK257 568 Cd1603 1999 09 12.29928 22 17 52.35 +00 36 37.8 99RK257 568 Cd1603 1999 09 13.26075 22 17 48.21 +00 36 05.9 24.8V 99RK257 568 Cd1603 1999 09 13.29270 22 17 48.09 +00 36 05.0 23.9V 99RK257 568 Cd1603 1999 09 13.32267 22 17 47.96 +00 36 03.8 99RK257 568 Cd1603
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 0.26 0.00 -0.22
2 0.0001 0.00 0.42 0.00 -0.52
3 0.0028 0.00 -0.58 0.00 0.56
4 0.0028 0.00 -0.62 0.00 0.45
5 0.0029 0.00 -0.21 0.00 0.45
6 0.0055 0.00 0.02 0.00 -0.26
7 0.0056 0.00 0.31 0.00 -0.13
8 0.0057 0.00 0.34 0.00 -0.35
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.
99RK257 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 44.703 44.703 44.703 ecceobj 0.096 0.096 0.096 incobj 14.444 14.444 14.444 qmin 39.642 39.642 39.642 qmax 49.630 49.630 49.631 amean 44.509 44.509 44.509 amin 44.151 44.151 44.151 amax 44.896 44.896 44.896 emean 0.092 0.092 0.092 emin 0.079 0.079 0.079 emax 0.106 0.106 0.106 imean 15.042 15.042 15.042 imin 14.611 14.611 14.611 imax 15.421 15.421 15.421 excite_mean 0.275 0.275 0.275 fracstop 1.000 1.000 1.000 cjmean 3.014 3.014 3.014 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 184.4 184.4 184.4 kozaiamp 179.9 179.9 179.9