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: 76803 # Created Wed Dec 25 02:06:44 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 93 observations of 93 # Arc: 19.91y # First observation: 2000/07/31 # Last observation: 2020/06/28 # Chi-squared of fit: 140.95 DOF: 180 RMS: 0.22 # Min/Max residuals: -0.66 0.74 # Exact a, adot, b, bdot, g, gdot: 1.369910E-05 2.660074E-02 -1.123917E-05 -1.776073E-02 2.914295E-02 2.834483E-03 # Covariance matrix: 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 # lat0 lon0 xBary yBary zBary JD0 0.960073 -54.074062 -0.033380 0.016820 -1.014169 2451756.624613 # Heliocentric elements and errors Epoch: 2451756.5000 = 2000/07/31 Mean Anomaly: 40.76545 +/- 0.000 Argument of Peri: 127.42235 +/- 0.000 Long of Asc Node: 127.38654 +/- 0.000 Inclination: 33.76558 +/- 0.000 Eccentricity: 0.12069042 +/- 0.0000 Semi-Major Axis: 38.57875430 +/- 0.0000 Time of Perihelion: 2441845.6602 +/- 0.0 Perihelion: 33.92266806 +/- 0.0000 Aphelion: 43.23484054 +/- 0.0000 Period (y) 239.6241 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 20.75866516 +/- 0.0000 Ecliptic Y -28.57976575 +/- 0.0000 Ecliptic Z 0.57455668 +/- 0.0000 Ecliptic XDOT 0.00218914 +/- 0.0000 Ecliptic YDOT 0.00123361 +/- 0.0000 Ecliptic ZDOT -0.00166370 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.32777462 +/- 0.0000 Geocenter to KBO 34.31359940 +/- 0.0000 # Hcoef: 7.30
The following table shows the complete astrometric record for 76803. 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 (76803) followed by the observatory code and reference code for the source of the astrometry.
2000 07 31.12387 20 32 12.19 -17 51 36.0 21.4R 76803 807 Cc0967 2000 07 31.19562 20 32 11.78 -17 51 38.4 76803 807 Cc0967 2000 08 05.34368 20 31 42.44 -17 54 18.5 22.6R 76803 568 Cb8005 2000 08 05.39259 20 31 42.17 -17 54 20.0 22.2R 76803 568 Cb8005 2000 08 05.43348 20 31 41.93 -17 54 21.1 22.3R 76803 568 Cb8005 2000 08 06.33657 20 31 36.83 -17 54 49.3 22.4R 76803 568 Cb8005 2000 08 06.37780 20 31 36.60 -17 54 50.7 22.1R 76803 568 Cb8005 2000 08 06.41951 20 31 36.37 -17 54 51.9 22.2R 76803 568 Cb8005 2000 09 21.15474 20 28 08.56 -18 15 38.3 22.3R 76803 695 Ch1299 2000 09 21.21511 20 28 08.39 -18 15 39.6 76803 695 Ch1299 2000 09 23.24918 20 28 02.85 -18 16 22.2 22.5R 76803 568 Cc0967 2000 09 23.29902 20 28 02.72 -18 16 23.3 22.7R 76803 568 Cc0967 2000 09 23.34696 20 28 02.59 -18 16 24.3 23.0R 76803 568 Cc0967 2000 09 24.25098 20 28 00.29 -18 16 42.3 22.7R 76803 568 Cc0967 2000 09 24.30045 20 28 00.16 -18 16 43.3 22.6R 76803 568 Cc0967 2000 09 24.35897 20 28 00.01 -18 16 44.5 23.0R 76803 568 Cc0967 2001 07 18.43741 20 40 40.599 -18 20 58.52 76803 568 Cl6260 2001 07 19.44234 20 40 34.943 -18 21 29.95 76803 568 Cl6260 2001 07 26.35103 20 39 55.96 -18 25 07.8 76803 568 Cd7642 2001 07 26.41046 20 39 55.62 -18 25 09.8 23.0R 76803 568 Cd7642 2001 07 26.47112 20 39 55.26 -18 25 11.7 22.6R 76803 568 Cd7642 2001 08 22.89868 20 37 22.95 -18 39 22.5 22.8R 76803 493 Cd7642 2001 08 22.93308 20 37 22.80 -18 39 23.5 22.5R 76803 493 Cd7642 2002 06 15.40130 20 50 30.36 -18 39 25.3 22.5R 76803 695 Cf8836 2002 06 15.43413 20 50 30.20 -18 39 25.8 22.4R 76803 695 Cf8836 2003 10 23.09315 20 48 48.48 -20 07 46.9 22.2R 76803 695 Cj3635 2003 10 24.09751 20 48 48.56 -20 07 52.5 76803 695 Cj3635 2004 07 15.99641 21 02 37.10 -20 00 17.9 22.1R 76803 586 Cl0791 2008 06 07.35317 21 33 52.93 -21 33 17.1 76803 807 Cz1581 2008 06 07.41311 21 33 52.86 -21 33 18.6 76803 807 Cz1581 2008 06 09.39811 21 33 49.32 -21 34 15.8 76803 807 Cz1581 2010 08 30.394560 21 42 14.798 -23 12 11.10 22.7G 76803 F51 C~41wU 2010 08 30.405621 21 42 14.740 -23 12 11.03 23.2G 76803 F51 C~41wU 2010 08 30.419543 21 42 14.654 -23 12 10.97 22.0G 76803 F51 C~41wU 2010 08 30.430954 21 42 14.619 -23 12 11.73 22.3G 76803 F51 C~41wU 2011 08 01.471450 21 52 11.991 -23 17 33.11 23.0G 76803 F51 C~41wU 2011 08 01.483986 21 52 11.934 -23 17 33.57 22.8G 76803 F51 C~41wU 2011 08 01.496475 21 52 11.870 -23 17 33.97 22.3G 76803 F51 C~41wU 2011 08 01.508995 21 52 11.813 -23 17 34.72 23.6G 76803 F51 C~41wU 2011 08 03.444475 21 52 01.586 -23 18 52.28 22.8G 76803 F51 C~41wU 2011 08 03.454118 21 52 01.543 -23 18 52.49 23.1G 76803 F51 C~41wU 2014 06 28.558245 22 16 06.814 -23 53 46.16 22.8G 76803 F51 C~41wU 2014 07 06.515802 22 15 43.725 -23 59 11.69 22.7G 76803 F51 C~41wU 2014 07 27.509293 22 14 18.843 -24 14 12.18 22.8G 76803 F51 C~41wU 2014 07 30.520342 22 14 04.371 -24 16 21.86 22.4G 76803 F51 C~41wU 2014 07 30.531619 22 14 04.288 -24 16 21.90 23.3G 76803 F51 C~41wU 2014 07 30.542857 22 14 04.257 -24 16 22.39 22.8G 76803 F51 C~41wU 2014 07 30.554075 22 14 04.211 -24 16 23.14 22.9G 76803 F51 C~41wU 2014 09 20.381800 22 09 30.592 -24 46 25.99 22.6G 76803 F51 C~41wU 2014 09 20.393028 22 09 30.516 -24 46 26.37 22.4G 76803 F51 C~41wU 2014 09 20.404215 22 09 30.480 -24 46 26.75 23.8G 76803 F51 C~41wU 2014 09 20.415868 22 09 30.412 -24 46 26.90 22.9G 76803 F51 C~41wU 2015 06 17.565844 22 23 34.076 -24 03 19.97 22.7G 76803 F51 C~41wU 2015 06 17.587285 22 23 34.054 -24 03 20.36 23.5G 76803 F51 C~41wU 2015 06 17.597987 22 23 34.037 -24 03 20.84 23.0G 76803 F51 C~41wU 2015 07 26.500580 22 21 36.288 -24 30 26.33 22.6G 76803 F51 C~41wU 2015 07 26.510866 22 21 36.242 -24 30 26.63 22.5G 76803 F51 C~41wU 2015 07 26.521142 22 21 36.187 -24 30 27.15 22.8G 76803 F51 C~41wU 2015 07 26.531439 22 21 36.148 -24 30 27.43 23.0G 76803 F51 C~41wU 2015 07 27.556209 22 21 31.441 -24 31 12.77 22.6G 76803 F51 C~41wU 2015 07 27.566756 22 21 31.387 -24 31 12.89 23.0G 76803 F51 C~41wU 2015 07 27.577288 22 21 31.349 -24 31 13.37 23.0G 76803 F51 C~41wU 2015 10 15.292272 22 15 03.404 -25 10 11.00 22.9G 76803 F51 C~41wU 2016 07 16.584680 22 29 24.182 -24 39 17.65 23.2G 76803 F51 C~41wU 2016 08 06.492508 22 27 51.101 -24 54 47.76 22.3G 76803 F51 C~41wU 2016 08 06.502229 22 27 51.061 -24 54 48.46 22.2G 76803 F51 C~41wU 2016 08 06.511891 22 27 50.987 -24 54 48.68 22.8G 76803 F51 C~41wU 2016 08 09.484277 22 27 35.911 -24 56 56.64 22.5G 76803 F51 C~41wU 2016 08 09.495482 22 27 35.862 -24 56 57.45 22.9G 76803 F51 C~41wU 2016 08 11.455000 22 27 25.720 -24 58 20.55 22.3G 76803 F51 C~41wU 2016 08 11.489323 22 27 25.536 -24 58 22.02 22.3G 76803 F51 C~41wU 2016 08 30.413264 22 25 43.421 -25 10 39.87 22.9G 76803 F51 C~41wU 2016 10 06.345839 22 22 41.934 -25 25 34.57 23.7G 76803 F51 C~41wU 2017 08 14.465856 22 34 22.499 -25 14 48.27 22.0G 76803 F51 C~41wU 2017 09 15.369655 22 31 31.116 -25 33 43.09 23.4G 76803 F51 C~41wU 2017 09 15.387682 22 31 31.018 -25 33 43.57 23.5G 76803 F51 C~41wU 2017 09 15.396694 22 31 30.960 -25 33 43.78 22.8G 76803 F51 C~41wU 2018 08 07.458350 22 42 08.917 -25 22 34.04 22.7G 76803 F51 C~41wU 2018 08 07.469706 22 42 08.878 -25 22 34.58 22.1G 76803 F51 C~41wU 2018 08 07.481062 22 42 08.821 -25 22 34.96 22.6G 76803 F51 C~41wU 2018 08 07.492436 22 42 08.772 -25 22 35.69 22.5G 76803 F51 C~41wU 2019 07 04.568737 22 51 18.578 -25 07 49.87 23.8G 76803 F51 C~41wU 2019 07 25.513600 22 50 14.558 -25 23 54.01 22.7G 76803 F51 C~41wU 2019 07 29.475764 22 49 58.531 -25 26 59.91 22.8G 76803 F51 C~41wU 2019 07 29.486008 22 49 58.467 -25 27 00.39 22.8G 76803 F51 C~41wU 2019 07 29.496234 22 49 58.435 -25 27 01.02 22.7G 76803 F51 C~41wU 2019 09 22.337194 22 45 18.540 -26 02 09.99 22.4G 76803 F51 C~41wU 2019 09 22.357703 22 45 18.433 -26 02 10.42 23.1G 76803 F51 C~41wU 2019 09 24.351603 22 45 08.442 -26 02 57.39 22.5G 76803 F51 C~41wU 2020 06 28.536166 22 58 29.028 -25 13 49.09 22.3G 76803 F51 C~41wU 2020 06 28.546744 22 58 29.021 -25 13 49.65 22.7G 76803 F51 C~41wU 2020 06 28.557307 22 58 29.014 -25 13 50.08 22.7G 76803 F51 C~41wU 2020 06 28.567863 22 58 28.994 -25 13 50.38 22.7G 76803 F51 C~41wU
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 0.07 0.00 0.36 2 0.0002 0.00 0.18 0.00 0.19 3 0.0143 0.00 -0.22 0.00 0.07 4 0.0144 0.00 -0.04 0.00 0.09 5 0.0145 0.00 -0.10 0.00 0.25 6 0.0170 0.00 -0.17 0.00 -0.02 7 0.0171 0.00 -0.06 0.00 -0.14 8 0.0172 0.00 0.08 0.00 -0.05 9 0.1425 0.00 -0.20 0.00 -0.41 10 0.1426 0.00 -0.11 0.00 -0.43 11 0.1482 0.00 -0.18 0.00 -0.41 12 0.1483 0.00 -0.09 0.00 -0.48 13 0.1485 0.00 -0.08 0.00 -0.50 14 0.1509 0.00 0.11 0.00 -0.03 15 0.1511 0.00 0.10 0.00 -0.02 16 0.1512 0.00 0.15 0.00 -0.05 17 0.9646 0.00 0.74 0.00 0.07 18 0.9673 0.00 -0.18 0.00 0.15 19 0.9862 0.00 -0.16 0.00 0.59 20 0.9864 0.00 -0.10 0.00 0.49 21 0.9866 0.00 -0.23 0.00 0.52 22 1.0617 0.00 -0.02 0.00 0.21 23 1.0618 0.00 0.44 0.00 0.22 24 1.8734 0.00 0.59 0.00 -0.41 25 1.8735 0.00 -0.04 0.00 -0.07 26 3.2278 0.00 0.02 0.00 0.15 27 3.2306 0.00 0.12 0.00 0.22 28 3.9586 0.00 0.31 0.00 -0.13 29 7.8528 0.00 -0.66 0.00 -0.25 30 7.8529 0.00 -0.11 0.00 -0.04 31 7.8584 0.00 -0.21 0.00 -0.02 32 10.0815 0.00 -0.15 0.00 -0.37 33 10.0815 0.00 -0.11 0.00 0.04 34 10.0816 0.00 -0.26 0.00 0.53 35 10.0816 0.00 0.15 0.00 0.12 36 11.0016 0.00 -0.27 0.00 -0.02 37 11.0017 0.00 -0.12 0.00 0.03 38 11.0017 0.00 -0.08 0.00 0.12 39 11.0017 0.00 0.07 0.00 -0.13 40 11.0070 0.00 -0.23 0.00 -0.59 41 11.0071 0.00 -0.10 0.00 -0.41 42 13.9095 0.00 0.12 0.00 0.04 43 13.9313 0.00 0.10 0.00 0.11 44 13.9887 0.00 -0.07 0.00 0.18 45 13.9970 0.00 0.13 0.00 -0.08 46 13.9970 0.00 -0.27 0.00 0.37 47 13.9970 0.00 0.11 0.00 0.36 48 13.9971 0.00 0.26 0.00 0.09 49 14.1390 0.00 0.21 0.00 0.22 50 14.1390 0.00 -0.11 0.00 0.09 51 14.1390 0.00 0.17 0.00 -0.05 52 14.1391 0.00 0.00 0.00 0.06 53 14.8787 0.00 0.06 0.00 -0.42 54 14.8788 0.00 0.16 0.00 -0.02 55 14.8788 0.00 0.12 0.00 -0.11 56 14.9853 0.00 0.16 0.00 -0.24 57 14.9853 0.00 0.18 0.00 -0.08 58 14.9853 0.00 0.07 0.00 -0.15 59 14.9854 0.00 0.20 0.00 0.02 60 14.9882 0.00 -0.18 0.00 -0.27 61 14.9882 0.00 -0.25 0.00 0.07 62 14.9882 0.00 -0.07 0.00 0.05 63 15.2065 0.00 0.01 0.00 -0.03 64 15.9602 0.00 0.29 0.00 0.13 65 16.0174 0.00 0.02 0.00 0.21 66 16.0175 0.00 0.17 0.00 -0.07 67 16.0175 0.00 -0.20 0.00 0.13 68 16.0256 0.00 0.16 0.00 0.14 69 16.0257 0.00 0.30 0.00 -0.19 70 16.0310 0.00 0.12 0.00 -0.06 71 16.0311 0.00 0.10 0.00 -0.08 72 16.0829 0.00 0.12 0.00 0.20 73 16.1840 0.00 -0.44 0.00 -0.00 74 17.0386 0.00 0.28 0.00 -0.03 75 17.1259 0.00 0.23 0.00 -0.19 76 17.1260 0.00 0.19 0.00 -0.19 77 17.1260 0.00 0.04 0.00 -0.15 78 18.0187 0.00 -0.26 0.00 0.03 79 18.0187 0.00 0.00 0.00 -0.00 80 18.0188 0.00 -0.01 0.00 0.13 81 18.0188 0.00 0.09 0.00 -0.09 82 18.9252 0.00 0.09 0.00 0.24 83 18.9826 0.00 0.13 0.00 0.03 84 18.9934 0.00 -0.04 0.00 0.10 85 18.9935 0.00 -0.34 0.00 0.10 86 18.9935 0.00 -0.17 0.00 -0.05 87 19.1436 0.00 -0.06 0.00 -0.06 88 19.1437 0.00 -0.08 0.00 0.01 89 19.1492 0.00 0.09 0.00 -0.27 90 19.9108 0.00 -0.29 0.00 0.12 91 19.9108 0.00 -0.16 0.00 0.02 92 19.9108 0.00 -0.03 0.00 0.04 93 19.9109 0.00 -0.09 0.00 0.19
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.
76803 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 38.641 38.641 38.641 ecceobj 0.122 0.122 0.122 incobj 33.740 33.740 33.740 qmin 33.193 33.132 33.014 qmax 44.438 44.531 44.646 amean 38.680 38.656 38.637 amin 38.315 38.314 38.267 amax 39.026 39.038 39.019 emean 0.120 0.120 0.124 emin 0.099 0.101 0.103 emax 0.139 0.142 0.145 imean 32.313 32.310 32.281 imin 31.827 31.813 31.802 imax 32.827 32.831 32.789 excite_mean 0.548 0.548 0.548 fracstop 1.000 1.000 1.000 cjmean 2.681 2.681 2.681 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 191.1 190.1 190.7 kozaiamp 180.0 180.0 180.0