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: 18FQ76 # Created Wed Dec 25 02:10:58 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 16 observations of 16 # Arc: 15.21y # First observation: 2003/12/23 # Last observation: 2019/03/08 # Chi-squared of fit: 6.16 DOF: 26 RMS: 0.11 # Min/Max residuals: -0.21 0.22 # Exact a, adot, b, bdot, g, gdot: 1.488567E-05 2.359574E-02 6.265695E-07 5.781807E-04 2.406965E-02 2.885803E-04 # Covariance matrix: 4.8949E-13 -7.4061E-14 2.8422E-16 -9.7998E-16 -4.6063E-14 -1.1191E-13 -7.4061E-14 2.2633E-13 -1.4998E-15 4.9809E-15 4.1691E-13 5.8149E-13 2.8422E-16 -1.4998E-15 4.7952E-13 -3.3526E-14 -2.6618E-15 -3.9312E-15 -9.7998E-16 4.9809E-15 -3.3526E-14 2.9412E-15 8.4322E-15 1.3144E-14 -4.6063E-14 4.1691E-13 -2.6618E-15 8.4322E-15 1.1131E-12 1.0127E-12 -1.1191E-13 5.8149E-13 -3.9312E-15 1.3144E-14 1.0127E-12 1.5284E-12 # lat0 lon0 xBary yBary zBary JD0 0.650207 158.189548 0.904160 0.004380 -0.379918 2452996.994613 # Heliocentric elements and errors Epoch: 2452996.5000 = 2003/12/23 Mean Anomaly: 342.74007 +/- 0.093 Argument of Peri: 42.72635 +/- 0.098 Long of Asc Node: 132.50663 +/- 0.003 Inclination: 1.55613 +/- 0.000 Eccentricity: 0.02879688 +/- 0.0001 Semi-Major Axis: 43.12259947 +/- 0.0063 Time of Perihelion: 2457955.4803 +/- 34.3 Perihelion: 41.88080327 +/- 0.0076 Aphelion: 44.36439567 +/- 0.0079 Period (y) 283.1820 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -38.59009115 +/- 0.0017 Ecliptic Y 16.41784651 +/- 0.0007 Ecliptic Z 0.47148272 +/- 0.0000 Ecliptic XDOT -0.00103122 +/- 0.0000 Ecliptic YDOT -0.00248622 +/- 0.0000 Ecliptic ZDOT 0.00006629 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.93999988 +/- 0.0016 Geocenter to KBO 41.54609895 +/- 0.0018 # Hcoef: 8.19
The following table shows the complete astrometric record for 18FQ76. 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 (18FQ76) followed by the observatory code and reference code for the source of the astrometry.
2003 12 23.49387 10 40 20.31 +09 06 06.9 18FQ76 T14 C~8SeA 2003 12 23.54564 10 40 20.23 +09 06 07.4 18FQ76 T14 C~8SeA 2003 12 23.59656 10 40 20.16 +09 06 08.1 18FQ76 T14 C~8SeA 2016 03 17.425731 11 37 00.61 +03 37 20.4 18FQ76 T09 C~8SeA 2016 03 17.568282 11 36 59.98 +03 37 24.5 18FQ76 T09 C~8SeA 2018 03 18.44590 11 47 12.76 +02 34 57.1 24.2i 18FQ76 T09 C~8SeA 2018 03 18.46308 11 47 12.67 +02 34 57.6 24.2i 18FQ76 T09 C~8SeA 2018 03 18.49223 11 47 12.55 +02 34 58.3 24.2i 18FQ76 T09 C~8SeA 2018 04 24.35876 11 44 41.26 +02 51 08.5 24.6z 18FQ76 T09 C~8SeA 2018 04 24.38798 11 44 41.17 +02 51 09.0 24.0z 18FQ76 T09 C~8SeA 2018 04 24.43185 11 44 41.01 +02 51 09.7 24.0z 18FQ76 T09 C~8SeA 2018 04 24.48803 11 44 40.83 +02 51 11.2 24.0z 18FQ76 T09 C~8SeA 2019 02 05.460610 11 55 04.79 +01 44 57.8 18FQ76 T09 C~8SeA 2019 02 05.498105 11 55 04.67 +01 44 58.7 18FQ76 T09 C~8SeA 2019 03 08.393818 11 53 05.31 +01 58 28.6 18FQ76 T09 C~8SeA 2019 03 08.425417 11 53 05.16 +01 58 29.6 18FQ76 T09 C~8SeA
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 0.10 0.00 -0.09 2 0.0001 0.00 -0.06 0.00 -0.06 3 0.0003 0.00 -0.07 0.00 0.18 4 12.2325 0.00 -0.13 0.00 0.02 5 12.2329 0.00 0.22 0.00 -0.05 6 14.2340 0.00 -0.05 0.00 0.04 7 14.2340 0.00 -0.21 0.00 0.04 8 14.2341 0.00 -0.01 0.00 -0.12 9 14.3350 0.00 -0.11 0.00 0.12 10 14.3351 0.00 0.05 0.00 0.01 11 14.3352 0.00 -0.09 0.00 -0.21 12 14.3354 0.00 0.08 0.00 0.12 13 15.1211 0.00 -0.03 0.00 0.04 14 15.1212 0.00 -0.05 0.00 0.13 15 15.2057 0.00 0.20 0.00 -0.10 16 15.2058 0.00 0.08 0.00 -0.02
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.
18FQ76 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.718 42.718 42.718 ecceobj 0.019 0.019 0.019 incobj 1.559 1.559 1.559 qmin 40.967 40.966 40.968 qmax 44.918 44.921 44.914 amean 42.865 42.865 42.865 amin 42.542 42.541 42.541 amax 43.199 43.197 43.200 emean 0.021 0.021 0.021 emin 0.000 0.000 0.001 emax 0.040 0.040 0.040 imean 1.806 1.806 1.806 imin 0.617 0.617 0.617 imax 2.568 2.568 2.568 excite_mean 0.039 0.039 0.039 fracstop 1.000 1.000 1.000 cjmean 3.086 3.086 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 187.6 187.6 187.6 kozaiamp 180.0 180.0 180.0