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: 13RV128
# Created Sat Apr 27 01:14:52 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 31 observations of 31
# Arc: 21.98y
# First observation: 2000/09/03
# Last observation: 2022/08/27
# Chi-squared of fit: 38.95 DOF: 56 RMS: 0.20
# Min/Max residuals: -0.82 0.36
# Exact a, adot, b, bdot, g, gdot:
1.846955E-05 3.127748E-02 1.371127E-06 1.985838E-03 2.680844E-02 1.993646E-03
# Covariance matrix:
1.5611E-13 -1.0372E-14 8.6370E-16 9.0441E-17 9.0242E-15 1.0842E-15
-1.0372E-14 1.0094E-15 6.8644E-17 1.2366E-17 3.6787E-16 1.6369E-16
8.6370E-16 6.8644E-17 1.4731E-13 -1.1277E-14 1.3345E-15 6.1649E-17
9.0441E-17 1.2366E-17 -1.1277E-14 8.9369E-16 1.9299E-17 1.7895E-17
9.0242E-15 3.6787E-16 1.3345E-15 1.9299E-17 2.2068E-14 -1.2762E-16
1.0842E-15 1.6369E-16 6.1649E-17 1.7895E-17 -1.2762E-16 2.4863E-16
# lat0 lon0 xBary yBary zBary JD0
7.787972 -40.411995 -0.361479 0.126851 -0.928982 2451790.718550
# Heliocentric elements and errors
Epoch: 2451790.5000 = 2000/09/03
Mean Anomaly: 7.62403 +/- 0.001
Argument of Peri: 48.67868 +/- 0.000
Long of Asc Node: 255.58469 +/- 0.000
Inclination: 8.40160 +/- 0.000
Eccentricity: 0.33462033 +/- 0.0000
Semi-Major Axis: 56.89540398 +/- 0.0000
Time of Perihelion: 2448470.8214 +/- 0.3
Perihelion: 37.85704505 +/- 0.0001
Aphelion: 75.93376291 +/- 0.0001
Period (y) 429.1647 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 29.09386725 +/- 0.0000
Ecliptic Y -24.28656622 +/- 0.0000
Ecliptic Z 5.05474011 +/- 0.0000
Ecliptic XDOT 0.00219611 +/- 0.0000
Ecliptic YDOT 0.00232440 +/- 0.0000
Ecliptic ZDOT 0.00022868 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.23397856 +/- 0.0000
Geocenter to KBO 37.30168006 +/- 0.0000
# Hcoef: 7.35
The following table shows the complete astrometric record for 13RV128. 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 (13RV128) followed by the observatory code and reference code for the source of the astrometry.
2000 09 03.217807 21 18 11.61 -07 32 13.2 13RV128 645 C~4qL7 2000 09 03.218636 21 18 11.60 -07 32 13.3 13RV128 645 C~4qL7 2000 09 03.221124 21 18 11.61 -07 32 13.1 13RV128 645 C~4qL7 2000 09 27.131890 21 16 42.81 -07 41 45.4 13RV128 645 C~4qL7 2000 09 27.132719 21 16 42.80 -07 41 45.5 13RV128 645 C~4qL7 2004 09 16.319380 21 43 47.11 -04 59 37.0 13RV128 645 C~4qL7 2004 09 16.322697 21 43 47.06 -04 59 36.8 13RV128 645 C~4qL7 2008 10 30.177878 22 07 23.41 -02 39 51.8 13RV128 645 C~4qL7 2008 10 30.178707 22 07 23.39 -02 39 52.1 13RV128 645 C~4qL7 2008 10 30.181195 22 07 23.37 -02 39 52.6 13RV128 645 C~4qL7 2009 09 16.292907 22 15 48.18 -01 41 54.3 13RV128 645 C~4qL7 2009 09 16.293737 22 15 48.19 -01 41 54.6 13RV128 645 C~4qL7 2009 09 16.296225 22 15 48.18 -01 41 54.1 13RV128 645 C~4qL7 2011 12 01.267053 22 25 53.09 -00 51 08.6 13RV128 568 C~4qL7 2011 12 01.272352 22 25 53.09 -00 51 08.7 13RV128 568 C~4qL7 2011 12 01.277685 22 25 53.10 -00 51 08.6 13RV128 568 C~4qL7 2011 12 01.283002 22 25 53.12 -00 51 08.7 13RV128 568 C~4qL7 2012 08 21.468539 22 36 18.98 +00 26 23.0 13RV128 568 C~4qL7 2012 08 21.480033 22 36 18.93 +00 26 22.7 13RV128 568 C~4qL7 2013 09 13.184624 22 40 40.965 +00 54 16.62 23.1i 13RV128 W84 C~3wor 2013 09 13.185990 22 40 40.965 +00 54 16.34 22.7z 13RV128 W84 C~3wor 2013 09 30.064231 22 39 29.989 +00 45 49.86 23.8r 13RV128 W84 C~3wor 2013 09 30.065689 22 39 29.992 +00 45 49.86 23.0i 13RV128 W84 C~3wor 2013 10 10.100434 22 38 53.703 +00 40 54.20 23.6r 13RV128 W84 C~3wor 2013 10 11.087587 22 38 50.447 +00 40 26.00 22.9z 13RV128 W84 C~3wor 2013 10 12.055272 22 38 47.336 +00 39 58.40 23.1i 13RV128 W84 C~3wor 2013 10 12.058085 22 38 47.318 +00 39 58.28 22.8z 13RV128 W84 C~3wor 2013 11 23.056464 22 37 42.819 +00 25 04.39 23.7r 13RV128 W84 C~3wor 2022 08 27.267190 23 34 09.275 +06 23 36.31 23.6G 13RV128 G37 C~5nHZ 2022 08 27.313710 23 34 09.081 +06 23 35.31 13RV128 G37 C~5nHZ 2022 08 27.360780 23 34 08.888 +06 23 34.35 13RV128 G37 C~5nHZ
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 0.01 0.00 -0.04
2 0.0000 0.00 -0.09 0.00 -0.12
3 0.0000 0.00 0.23 0.00 0.14
4 0.0655 0.00 0.19 0.00 0.08
5 0.0655 0.00 0.08 0.00 -0.00
6 4.0359 0.00 -0.28 0.00 -0.00
7 4.0359 0.00 -0.82 0.00 0.29
8 8.1559 0.00 0.29 0.00 0.28
9 8.1560 0.00 0.00 0.00 -0.00
10 8.1560 0.00 -0.25 0.00 -0.46
11 9.0351 0.00 -0.01 0.00 0.03
12 9.0351 0.00 0.19 0.00 -0.25
13 9.0351 0.00 0.21 0.00 0.33
14 11.2418 0.00 0.23 0.00 -0.22
15 11.2418 0.00 0.13 0.00 -0.29
16 11.2418 0.00 0.17 0.00 -0.17
17 11.2418 0.00 0.36 0.00 -0.24
18 11.9651 0.00 0.09 0.00 0.16
19 11.9651 0.00 0.14 0.00 0.14
20 13.0266 0.00 -0.11 0.00 0.16
21 13.0266 0.00 -0.02 0.00 -0.08
22 13.0728 0.00 -0.15 0.00 -0.04
23 13.0728 0.00 -0.02 0.00 -0.00
24 13.1003 0.00 -0.06 0.00 0.02
25 13.1030 0.00 -0.13 0.00 0.11
26 13.1056 0.00 0.07 0.00 0.05
27 13.1057 0.00 -0.06 0.00 0.01
28 13.2206 0.00 -0.23 0.00 -0.11
29 21.9796 0.00 -0.06 0.00 0.03
30 21.9797 0.00 -0.07 0.00 0.05
31 21.9799 0.00 -0.02 0.00 0.12
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.
13RV128 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 57.101 57.101 57.100 ecceobj 0.337 0.337 0.337 incobj 8.400 8.400 8.400 qmin 37.265 37.265 37.265 qmax 77.708 77.709 77.708 amean 56.931 56.931 56.931 amin 56.252 56.252 56.252 amax 57.769 57.769 57.769 emean 0.334 0.334 0.334 emin 0.325 0.325 0.325 emax 0.345 0.345 0.345 imean 9.835 9.835 9.835 imin 9.639 9.639 9.639 imax 10.049 10.049 10.049 excite_mean 0.376 0.376 0.376 fracstop 1.000 1.000 1.000 cjmean 3.082 3.082 3.082 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 177.2 177.1 177.3 kozaiamp 179.9 179.9 179.9