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: 13FM28 # Created Sun Nov 24 02:09:21 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 24 observations of 24 # Arc: 23.86y # First observation: 2000/05/04 # Last observation: 2024/03/13 # Chi-squared of fit: 54.73 DOF: 42 RMS: 0.27 # Min/Max residuals: -0.39 0.85 # Exact a, adot, b, bdot, g, gdot: 1.866623E-05 2.976912E-02 1.916870E-06 2.363796E-03 2.603440E-02 5.454764E-03 # Covariance matrix: 4.8372E-13 -4.8214E-14 -4.2671E-15 -3.4217E-15 -2.3052E-13 -5.1014E-14 -4.8214E-14 1.0021E-14 -1.0185E-15 7.0331E-16 1.5814E-14 1.3862E-14 -4.2671E-15 -1.0185E-15 2.5113E-13 -1.5139E-14 1.0922E-14 -1.6976E-15 -3.4217E-15 7.0331E-16 -1.5139E-14 1.2977E-15 2.4808E-15 1.1011E-15 -2.3052E-13 1.5814E-14 1.0922E-14 2.4808E-15 2.9752E-13 2.3043E-14 -5.1014E-14 1.3862E-14 -1.6976E-15 1.1011E-15 2.3043E-14 2.1886E-14 # lat0 lon0 xBary yBary zBary JD0 -14.125322 136.302699 -1.014681 -0.010715 -0.041696 2451668.642112 # Heliocentric elements and errors Epoch: 2451668.5000 = 2000/05/04 Mean Anomaly: 19.82796 +/- 0.005 Argument of Peri: 243.94424 +/- 0.007 Long of Asc Node: 208.17046 +/- 0.000 Inclination: 14.94240 +/- 0.000 Eccentricity: 0.38075153 +/- 0.0001 Semi-Major Axis: 57.07124262 +/- 0.0080 Time of Perihelion: 2442994.8886 +/- 2.8 Perihelion: 35.34127983 +/- 0.0062 Aphelion: 78.80120541 +/- 0.0117 Period (y) 431.1558 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -27.65747449 +/- 0.0006 Ecliptic Y 25.03291653 +/- 0.0005 Ecliptic Z -9.37379555 +/- 0.0002 Ecliptic XDOT -0.00261529 +/- 0.0000 Ecliptic YDOT -0.00183075 +/- 0.0000 Ecliptic ZDOT 0.00010120 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.46348330 +/- 0.0005 Geocenter to KBO 38.41062632 +/- 0.0008 # Hcoef: 7.04
The following table shows the complete astrometric record for 13FM28. 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 (13FM28) followed by the observatory code and reference code for the source of the astrometry.
2000 05 04.141369 08 58 16.72 +02 26 27.3 13FM28 645 C~5Xcr 2000 05 04.142199 08 58 16.73 +02 26 27.5 13FM28 645 C~5Xcr 2000 05 04.144686 08 58 16.75 +02 26 27.3 13FM28 645 C~5Xcr 2000 11 30.428814 09 13 01.53 +01 17 04.5 13FM28 645 C~5Xcr 2000 11 30.429643 09 13 01.54 +01 17 04.4 13FM28 645 C~5Xcr 2013 03 16.03362 10 20 39.912 -02 21 39.17 23.5r 13FM28 807 C~1M7X 2013 03 16.10813 10 20 39.613 -02 21 36.57 13FM28 807 C~1M7X 2013 03 16.17826 10 20 39.314 -02 21 34.57 13FM28 807 C~1M7X 2013 03 17.03265 10 20 35.869 -02 21 06.81 13FM28 807 C~1M7X 2013 03 17.051956 10 20 35.71 -02 21 06.4 13FM28 W84 C~55Mp 2013 04 01.096053 10 19 39.87 -02 12 55.1 13FM28 W84 C~55Mp 2013 04 01.098495 10 19 39.86 -02 12 55.2 13FM28 W84 C~55Mp 2013 04 01.099653 10 19 39.86 -02 12 55.2 13FM28 W84 C~55Mp 2013 04 03.148519 10 19 33.16 -02 11 48.8 13FM28 W84 C~55Mp 2013 04 03.149676 10 19 33.15 -02 11 48.8 13FM28 W84 C~55Mp 2014 03 25.005586 10 25 46.08 -02 35 10.8 23.5V 13FM28 W84 C~5Xcr 2014 03 26.007308 10 25 42.33 -02 34 38.0 23.3V 13FM28 W84 C~5Xcr 2014 03 28.006398 10 25 35.00 -02 33 32.8 23.6V 13FM28 W84 C~5Xcr 2015 03 28.014249 10 31 11.52 -02 51 37.8 22.7z 13FM28 W84 C~5Xcr 2019 04 04.059867 10 52 20.63 -03 56 12.4 23.4V 13FM28 W84 C~5Xcr 2019 04 05.012913 10 52 17.33 -03 55 41.8 23.5V 13FM28 W84 C~5Xcr 2019 04 05.057191 10 52 17.15 -03 55 40.4 23.5V 13FM28 W84 C~5Xcr 2024 03 13.285680 11 18 55.858 -05 23 37.26 23.5G 13FM28 G37 C~7wLg 2024 03 13.327950 11 18 55.662 -05 23 35.61 13FM28 G37 C~7wLg
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 -0.14 0.00 -0.06
2 0.0000 0.00 -0.01 0.00 0.12
3 0.0000 0.00 0.25 0.00 -0.12
4 0.5757 0.00 -0.20 0.00 -0.09
5 0.5757 0.00 -0.03 0.00 -0.18
6 12.8649 0.00 0.42 0.00 0.33
7 12.8651 0.00 0.59 0.00 0.52
8 12.8653 0.00 0.49 0.00 0.25
9 12.8676 0.00 0.85 0.00 0.30
10 12.8677 0.00 -0.35 0.00 0.09
11 12.9088 0.00 -0.07 0.00 -0.02
12 12.9088 0.00 -0.09 0.00 -0.20
13 12.9089 0.00 -0.04 0.00 -0.23
14 12.9145 0.00 -0.29 0.00 -0.14
15 12.9145 0.00 -0.39 0.00 -0.18
16 13.8887 0.00 -0.21 0.00 -0.00
17 13.8915 0.00 -0.31 0.00 0.05
18 13.8970 0.00 -0.37 0.00 -0.08
19 14.8963 0.00 -0.13 0.00 0.12
20 18.9156 0.00 0.00 0.00 -0.23
21 18.9182 0.00 0.18 0.00 0.02
22 18.9183 0.00 -0.19 0.00 0.01
23 23.8580 0.00 0.14 0.00 -0.37
24 23.8581 0.00 -0.14 0.00 0.05
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.
13FM28 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 56.970 56.971 56.970 ecceobj 0.380 0.380 0.380 incobj 14.943 14.943 14.943 qmin 34.822 34.813 34.824 qmax 80.294 80.283 80.312 amean 56.931 56.931 56.931 amin 56.252 56.245 56.245 amax 57.831 57.831 57.831 emean 0.378 0.378 0.378 emin 0.368 0.368 0.368 emax 0.389 0.389 0.389 imean 15.384 15.382 15.381 imin 15.196 15.151 15.198 imax 15.587 15.587 15.586 excite_mean 0.462 0.462 0.462 fracstop 1.000 1.000 1.000 cjmean 2.984 2.984 2.984 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 184.4 183.7 184.4 kozaiamp 180.0 180.0 180.0