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: 15SP20 # Created Sat Apr 20 01:17:32 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 30 observations of 30 # Arc: 18.24y # First observation: 2001/06/26 # Last observation: 2019/09/24 # Chi-squared of fit: 47.71 DOF: 54 RMS: 0.22 # Min/Max residuals: -0.59 0.54 # Exact a, adot, b, bdot, g, gdot: 1.509552E-05 2.094347E-02 -8.047944E-07 -8.881162E-04 2.258364E-02 2.687040E-03 # Covariance matrix: 7.3317E-13 -9.9511E-14 -2.3599E-15 2.1913E-15 -6.0918E-14 -1.5871E-13 -9.9511E-14 5.4956E-14 2.3698E-15 -2.1922E-15 5.2064E-14 1.5882E-13 -2.3599E-15 2.3698E-15 6.7999E-13 -4.7414E-14 1.0808E-15 7.7400E-15 2.1913E-15 -2.1922E-15 -4.7414E-14 3.6426E-15 -1.2382E-15 -7.0840E-15 -6.0918E-14 5.2064E-14 1.0808E-15 -1.2382E-15 2.8128E-13 8.8214E-14 -1.5871E-13 1.5882E-13 7.7400E-15 -7.0840E-15 8.8214E-14 5.1371E-13 # lat0 lon0 xBary yBary zBary JD0 -1.904939 -42.741077 0.690669 -0.025179 -0.752462 2452086.994114 # Heliocentric elements and errors Epoch: 2452086.5000 = 2001/06/26 Mean Anomaly: 86.36503 +/- 0.046 Argument of Peri: 118.39054 +/- 0.034 Long of Asc Node: 99.14350 +/- 0.003 Inclination: 3.09273 +/- 0.000 Eccentricity: 0.10947015 +/- 0.0000 Semi-Major Axis: 44.81086930 +/- 0.0039 Time of Perihelion: 2425801.4441 +/- 14.3 Perihelion: 39.90541677 +/- 0.0037 Aphelion: 49.71632182 +/- 0.0045 Period (y) 299.9738 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.59020472 +/- 0.0008 Ecliptic Y -31.04781517 +/- 0.0007 Ecliptic Z -1.47192647 +/- 0.0001 Ecliptic XDOT 0.00195119 +/- 0.0000 Ecliptic YDOT 0.00164815 +/- 0.0000 Ecliptic ZDOT -0.00011824 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.03607905 +/- 0.0007 Geocenter to KBO 44.27978915 +/- 0.0010 # Hcoef: 6.11
The following table shows the complete astrometric record for 15SP20. 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 (15SP20) followed by the observatory code and reference code for the source of the astrometry.
2001 06 26.493371 21 21 15.12 -17 28 35.5 15SP20 568 C~5Xn9 2001 06 26.520559 21 21 15.05 -17 28 36.0 15SP20 568 C~5Xn9 2013 08 02.402967 22 14 49.40 -13 30 15.4 23.3r 15SP20 568 C~5Xn9 2013 08 02.408807 22 14 49.39 -13 30 15.5 23.4r 15SP20 568 C~5Xn9 2014 05 28.604941 22 21 23.60 -12 52 19.8 15SP20 568 C~5Xn9 2014 05 28.607101 22 21 23.58 -12 52 19.8 15SP20 568 C~5Xn9 2015 09 17.87223 22 20 30.65 -13 03 20.1 22.5R 15SP20 Z79 C~1afZ 2015 09 17.92713 22 20 30.43 -13 03 20.9 22.4R 15SP20 Z79 C~1afZ 2015 09 19.90404 22 20 22.86 -13 04 01.7 22.4R 15SP20 Z79 C~1afZ 2015 09 19.95272 22 20 22.68 -13 04 02.5 22.5R 15SP20 Z79 C~1afZ 2015 09 19.95676 22 20 22.67 -13 04 02.4 22.5R 15SP20 Z79 C~1afZ 2015 09 19.96080 22 20 22.65 -13 04 03.0 22.4R 15SP20 Z79 C~1afZ 2015 09 20.00385 22 20 22.46 -13 04 03.7 22.5R 15SP20 Z79 C~1afZ 2015 09 20.00789 22 20 22.47 -13 04 03.9 22.5R 15SP20 Z79 C~1afZ 2015 09 20.01192 22 20 22.45 -13 04 03.8 22.4R 15SP20 Z79 C~1afZ 2015 09 20.85060 22 20 19.32 -13 04 20.4 22.2R 15SP20 Z79 C~1afZ 2015 09 20.85464 22 20 19.30 -13 04 20.6 22.2R 15SP20 Z79 C~1afZ 2015 09 20.85867 22 20 19.28 -13 04 20.5 22.3R 15SP20 Z79 C~1afZ 2015 10 12.95642 22 19 07.27 -13 10 27.2 22.5R 15SP20 J13 C~1afZ 2015 10 12.96184 22 19 07.28 -13 10 27.2 22.3R 15SP20 J13 C~1afZ 2015 10 12.96726 22 19 07.25 -13 10 27.3 22.5R 15SP20 J13 C~1afZ 2015 10 12.97268 22 19 07.23 -13 10 27.2 22.5R 15SP20 J13 C~1afZ 2015 10 14.88237 22 19 02.34 -13 10 50.6 22.4R 15SP20 J13 C~1afZ 2015 10 14.88721 22 19 02.30 -13 10 50.8 22.3R 15SP20 J13 C~1afZ 2015 10 14.89205 22 19 02.28 -13 10 51.1 22.4R 15SP20 J13 C~1afZ 2016 08 30.05458 22 26 06.46 -12 33 51.9 22.5V 15SP20 J13 C~1xhd 2016 08 30.06001 22 26 06.45 -12 33 52.1 22.5V 15SP20 J13 C~1xhd 2016 08 31.04868 22 26 02.28 -12 34 16.4 22.6V 15SP20 J13 C~1xhd 2016 08 31.05411 22 26 02.27 -12 34 16.3 22.4V 15SP20 J13 C~1xhd 2019 09 24.208276 22 37 25.85 -11 34 11.8 23.6V 15SP20 W84 C~5Xn9
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 0.01
2 0.0001 0.00 0.12 0.00 -0.04
3 12.1011 0.00 -0.04 0.00 -0.30
4 12.1011 0.00 0.16 0.00 -0.27
5 12.9202 0.00 0.35 0.00 -0.24
6 12.9202 0.00 0.04 0.00 -0.24
7 14.2269 0.00 -0.07 0.00 -0.15
8 14.2271 0.00 -0.14 0.00 0.19
9 14.2325 0.00 -0.19 0.00 -0.01
10 14.2326 0.00 -0.07 0.00 0.18
11 14.2326 0.00 0.01 0.00 0.36
12 14.2326 0.00 -0.06 0.00 -0.16
13 14.2327 0.00 -0.42 0.00 0.01
14 14.2328 0.00 -0.03 0.00 -0.11
15 14.2328 0.00 -0.10 0.00 0.08
16 14.2351 0.00 0.30 0.00 0.37
17 14.2351 0.00 0.23 0.00 0.25
18 14.2351 0.00 0.16 0.00 0.43
19 14.2956 0.00 -0.31 0.00 0.02
20 14.2956 0.00 0.06 0.00 0.09
21 14.2956 0.00 -0.17 0.00 0.06
22 14.2956 0.00 -0.25 0.00 0.22
23 14.3009 0.00 0.54 0.00 0.16
24 14.3009 0.00 0.13 0.00 0.02
25 14.3009 0.00 0.01 0.00 -0.23
26 15.1774 0.00 0.01 0.00 0.22
27 15.1775 0.00 0.21 0.00 0.15
28 15.1802 0.00 -0.32 0.00 -0.33
29 15.1802 0.00 -0.12 0.00 -0.09
30 18.2443 0.00 0.28 0.00 -0.59
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.
15SP20 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.016 45.016 45.016 ecceobj 0.109 0.109 0.109 incobj 3.091 3.091 3.091 qmin 39.399 39.386 39.438 qmax 50.915 50.907 50.857 amean 45.000 45.000 45.000 amin 44.636 44.635 44.642 amax 45.411 45.400 45.407 emean 0.106 0.106 0.106 emin 0.092 0.091 0.092 emax 0.121 0.122 0.121 imean 1.294 1.294 1.294 imin 0.560 0.562 0.560 imax 1.921 1.920 1.921 excite_mean 0.109 0.109 0.109 fracstop 1.000 1.000 1.000 cjmean 3.099 3.099 3.099 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 211.1 211.2 211.1 kozaiamp 179.9 180.0 180.0