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: 15807 # Created Tue Nov 26 02:06:39 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 62 observations of 69 # Arc: 21.97y # First observation: 1994/04/15 # Last observation: 2016/04/03 # Chi-squared of fit: 421.35 DOF: 118 RMS: 0.46 # Min/Max residuals: -1.52 1.32 # Exact a, adot, b, bdot, g, gdot: 8.796440E-06 2.403116E-02 -1.201364E-05 2.357499E-04 2.430340E-02 8.095838E-04 # 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 -0.032830 172.731706 -0.531206 -0.000452 -0.847182 2449457.776797 # Heliocentric elements and errors Epoch: 2449458.5000 = 1994/04/16 Mean Anomaly: 42.89806 +/- 0.000 Argument of Peri: 308.61048 +/- 0.000 Long of Asc Node: 176.82613 +/- 0.000 Inclination: 0.56029 +/- 0.000 Eccentricity: 0.06216388 +/- 0.0000 Semi-Major Axis: 43.91250258 +/- 0.0000 Time of Perihelion: 2436793.1893 +/- 0.0 Perihelion: 41.18273083 +/- 0.0000 Aphelion: 46.64227433 +/- 0.0000 Period (y) 290.9983 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -41.72411556 +/- 0.0000 Ecliptic Y 4.77890050 +/- 0.0000 Ecliptic Z -0.02407126 +/- 0.0000 Ecliptic XDOT -0.00042770 +/- 0.0000 Ecliptic YDOT -0.00267765 +/- 0.0000 Ecliptic ZDOT 0.00002638 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.99687960 +/- 0.0000 Geocenter to KBO 41.14652865 +/- 0.0000 # Hcoef: 7.32
The following table shows the complete astrometric record for 15807. 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 (15807) followed by the observatory code and reference code for the source of the astrometry.
1994 04 15.2761 11 33 15.08 +02 51 16.1 23.1R 15807 568 A23582 1994 04 15.3019 11 33 14.99 +02 51 16.6 15807 568 A23582 1994 04 15.3139 11 33 14.93 +02 51 17.0 15807 568 A23582 1994 04 15.4596 11 33 14.39 +02 51 20.2 15807 568 A23582 1994 05 05.37220 11 32 13.12 +02 57 55.9 23.6V 15807 568 C23582 1994 05 06.43593 11 32 10.57 +02 58 12.2 23.8V 15807 568 C23582 1994 05 07.33301 11 32 08.54 +02 58 25.4 23.4V 15807 568 C23582 1994 05 08.31953 11 32 06.31 +02 58 40.3 23.6V 15807 568 C23582 1995 02 01.07240 11 43 20.03 +01 46 46.6 15807 950 C24881 1995 02 01.24221 11 43 19.51 +01 46 49.8 15807 950 C24881 1995 02 02.12644 11 43 16.80 +01 47 07.3 15807 950 C24881 1995 02 02.18328 11 43 16.64 +01 47 08.3 15807 950 C24881 1995 02 26.29965 11 41 46.87 +01 56 53.8 15807 675 C25125 1995 02 26.46076 11 41 46.19 +01 56 57.8 15807 675 C25125 1995 03 31.9106 11 39 18.67 +02 12 57.2 15807 950 C25182 1995 04 01.0072 11 39 18.29 +02 13 00.1 15807 950 C25182 1995 04 01.9135 11 39 14.46 +02 13 24.2 15807 950 C25182 1995 04 02.0174 11 39 13.96 +02 13 27.1 23.1R 15807 950 C25029 1996 01 23.49346 11 48 45.11 +01 12 27.4 15807 675 C26659 1996 04 09.21007 11 43 45.52 +01 45 03.5 15807 675 C27019 1996 04 09.27749 11 43 45.25 +01 45 05.9 15807 675 C27019 1997 04 03.28080 11 49 14.18 +01 10 22.4 15807 568 Ca0650 1997 04 03.43969 11 49 13.48 +01 10 27.0 15807 568 Ca0650 1997 04 07.94042 11 48 54.73 +01 12 30.1 15807 950 C30062 1997 04 08.00322 11 48 54.33 +01 12 31.7 15807 950 C30062 1997 04 08.04792 11 48 54.09 +01 12 32.7 15807 950 C30062 1998 05 24.91117 11 51 39.48 +00 55 36.0 15807 950 Ca1682 1998 05 25.01085 11 51 39.39 +00 55 37.5 15807 950 Ca1682 1999 01 23.43244 12 03 41.62 -00 22 03.2 15807 705 Ca3578 1999 01 23.46825 12 03 41.52 -00 22 03.0 15807 705 Ca3579 1999 01 23.50262 12 03 41.47 -00 22 02.4 15807 705 Ca3579 1999 03 10.25657 12 01 05.82 -00 05 02.1 15807 829 Cc0554 1999 03 10.29936 12 01 05.66 -00 05 01.1 15807 829 Cc0554 2000 04 02.38513 12 04 21.04 -00 25 15.9 23.6R 15807 568 Cb1776 2000 04 02.38898 12 04 21.04 -00 25 15.6 22.6R 15807 568 Cb1776 2000 04 02.42179 12 04 20.87 -00 25 14.7 23.5R 15807 568 Cb1776 2000 04 02.43061 12 04 20.86 -00 25 14.4 23.6R 15807 568 Cb1776 2000 04 02.46661 12 04 20.70 -00 25 13.5 23.5R 15807 568 Cb1776 2000 04 02.47005 12 04 20.70 -00 25 13.6 23.6R 15807 568 Cb1776 2000 04 05.44234 12 04 07.87 -00 23 49.4 23.5R 15807 568 Cb1776 2000 04 05.49006 12 04 07.67 -00 23 48.1 23.6R 15807 568 Cb1776 2002 03 22.44767 12 15 12.21 -01 34 00.6 23.0R 15807 568 Cf6293 2002 03 22.49733 12 15 11.99 -01 33 59.0 22.7R 15807 568 Cf6294 2002 03 22.53068 12 15 11.84 -01 33 58.1 22.6R 15807 568 Cf6294 2002 04 14.00538 12 13 34.16 -01 23 25.6 15807 304 Cf6294 2002 04 14.05378 12 13 33.95 -01 23 24.6 15807 304 Cf6294 2002 04 14.15390 12 13 33.54 -01 23 21.5 15807 304 Cf6294 2014 05 18.304276 13 10 44.737 -07 15 35.60 23.3G 15807 F51 C~41GZ 2015 03 22.452628 13 19 36.965 -08 08 29.83 24.2G 15807 F51 C~41GZ 2015 03 23.32272 13 19 33.41 -08 08 07.7 23.8R 15807 695 C~1Q9C 2015 03 23.38697 13 19 33.13 -08 08 06.2 15807 695 C~1Q9C 2015 03 23.44947 13 19 32.86 -08 08 04.8 15807 695 C~1Q9C 2015 03 29.488841 13 19 07.338 -08 05 30.46 23.4G 15807 F51 C~41GZ 2015 04 13.10868 13 18 03.08 -07 59 02.1 24.2V 15807 W84 C~2JGX 2015 04 13.20115 13 18 02.66 -07 58 59.7 15807 W84 C~2JGX 2015 04 13.29683 13 18 02.23 -07 58 57.2 15807 W84 C~2JGX 2016 02 09.641399 13 26 34.417 -08 49 21.32 23.2G 15807 F51 C~41GZ 2016 02 09.649404 13 26 34.376 -08 49 20.95 23.5G 15807 F51 C~41GZ 2016 03 12.524100 13 25 08.346 -08 40 40.03 23.1G 15807 F51 C~41GZ 2016 04 03.439899 13 23 38.600 -08 31 42.13 22.8G 15807 F51 C~41GZ 2016 04 03.452257 13 23 38.513 -08 31 42.22 23.4G 15807 F51 C~41GZ 2016 04 03.464632 13 23 38.455 -08 31 41.78 22.6G 15807 F51 C~41GZ 2017 03 27.283646 13 29 06.49 -09 03 14.5 15807 W84 C~3dff 2017 03 27.284647 13 29 06.49 -09 03 14.4 15807 W84 C~3dff 2019 02 04.612465 13 41 16.347 -10 12 26.72 23.8G 15807 F51 C~41GZ 2019 04 06.481875 13 38 16.698 -09 54 56.84 23.5G 15807 F51 C~41GZ 2019 04 25.393977 13 36 52.892 -09 46 53.44 23.5G 15807 F51 C~41GZ 2020 04 22.422559 13 41 58.262 -10 15 17.09 23.5G 15807 F51 C~41GZ 2020 06 17.351497 13 38 45.293 -09 57 02.87 23.3G 15807 F51 C~41GZ
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 ( 2.29) 0.00 ( 1.75) 2 0.0001 0.00 ( 2.39) 0.00 ( 1.64) 3 0.0001 0.00 ( 2.16) 0.00 ( 1.75) 4 0.0005 0.00 ( 2.21) 0.00 ( 1.50) 5 0.0550 0.00 -0.57 0.00 0.17 6 0.0579 0.00 -0.78 0.00 -0.03 7 0.0604 0.00 -0.26 0.00 -0.33 8 0.0631 0.00 -0.58 0.00 0.16 9 0.7989 0.00 0.72 0.00 0.25 10 0.7994 0.00 0.77 0.00 0.12 11 0.8018 0.00 0.36 0.00 0.07 12 0.8019 0.00 0.65 0.00 -0.06 13 0.8680 0.00 0.64 0.00 0.89 14 0.8684 0.00 0.85 0.00 0.45 15 0.9600 0.00 -0.02 0.00 0.68 16 0.9602 0.00 0.57 0.00 0.89 17 0.9627 0.00 0.88 0.00 -0.08 18 0.9630 0.00 0.11 0.00 -0.05 19 1.7747 0.00 -1.00 0.00 -0.73 20 1.9848 0.00 0.73 0.00 0.32 21 1.9849 0.00 0.81 0.00 0.96 22 2.9678 0.00 0.42 0.00 -0.18 23 2.9683 0.00 0.25 0.00 0.01 24 2.9806 0.00 1.32 0.00 0.25 25 2.9808 0.00 -0.73 0.00 0.17 26 2.9809 0.00 -1.52 0.00 -0.03 27 4.1085 0.00 -0.50 0.00 -1.16 28 4.1088 0.00 0.24 0.00 -0.53 29 4.7752 0.00 -0.38 0.00 -0.10 30 4.7753 0.00 -0.79 0.00 -0.37 31 4.7754 0.00 -0.48 0.00 -0.21 32 4.9007 0.00 -1.33 0.00 0.16 33 4.9008 0.00 -0.88 0.00 -0.06 34 5.9661 0.00 -0.43 0.00 -0.50 35 5.9661 0.00 -0.18 0.00 -0.30 36 5.9662 0.00 -0.55 0.00 -0.34 37 5.9662 0.00 -0.11 0.00 -0.29 38 5.9663 0.00 -0.12 0.00 -0.41 39 5.9663 0.00 0.10 0.00 -0.60 40 5.9744 0.00 -0.18 0.00 -0.09 41 5.9746 0.00 -0.06 0.00 -0.12 42 7.9348 0.00 0.43 0.00 -0.03 43 7.9349 0.00 0.50 0.00 0.14 44 7.9350 0.00 0.50 0.00 0.07 45 7.9965 0.00 ( -1.22) 0.00 ( -3.33) 46 7.9967 0.00 ( -1.34) 0.00 ( -3.63) 47 7.9969 0.00 ( -1.21) 0.00 ( -3.21) 48 20.0904 0.00 0.23 0.00 0.01 49 20.9341 0.00 -0.00 0.00 -0.22 50 20.9365 0.00 0.52 0.00 0.23 51 20.9366 0.00 0.38 0.00 0.12 52 20.9368 0.00 0.28 0.00 -0.05 53 20.9534 0.00 0.22 0.00 -0.06 54 20.9934 0.00 0.10 0.00 0.05 55 20.9936 0.00 0.05 0.00 -0.03 56 20.9939 0.00 0.07 0.00 -0.09 57 21.8217 0.00 0.16 0.00 0.01 58 21.8217 0.00 -0.27 0.00 0.30 59 21.9090 0.00 -0.06 0.00 0.05 60 21.9690 0.00 0.11 0.00 0.27 61 21.9690 0.00 -0.36 0.00 -0.15 62 21.9690 0.00 -0.40 0.00 -0.03 63 22.9487 0.00 -0.09 0.00 -0.08 64 22.9487 0.00 -0.02 0.00 -0.01 65 24.8086 0.00 -0.05 0.00 0.19 66 24.9752 0.00 0.02 0.00 0.30 67 25.0270 0.00 -0.03 0.00 -0.09 68 26.0209 0.00 -0.15 0.00 -0.07 69 26.1741 0.00 -0.10 0.00 0.24
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.
15807 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.544 43.544 43.544 ecceobj 0.061 0.061 0.061 incobj 0.567 0.567 0.567 qmin 39.807 39.818 39.811 qmax 48.073 48.082 48.071 amean 43.813 43.813 43.813 amin 43.458 43.458 43.457 amax 44.190 44.189 44.197 emean 0.069 0.069 0.069 emin 0.050 0.050 0.050 emax 0.088 0.088 0.088 imean 1.843 1.843 1.843 imin 1.003 1.003 1.003 imax 2.593 2.594 2.593 excite_mean 0.077 0.077 0.077 fracstop 1.000 1.000 1.000 cjmean 3.092 3.092 3.092 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 172.2 172.4 172.0 kozaiamp 180.0 180.0 179.9