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: 13RV157
# Created Wed Apr 24 01:14:58 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 10 observations of 10
# Arc: 5.02y
# First observation: 2013/09/11
# Last observation: 2018/09/17
# Chi-squared of fit: 6.51 DOF: 14 RMS: 0.14
# Min/Max residuals: -0.33 0.21
# Exact a, adot, b, bdot, g, gdot:
1.921171E-05 3.078556E-02 -3.260505E-06 -6.115798E-03 2.682248E-02 9.119214E-03
# Covariance matrix:
8.6311E-13 7.7694E-13 4.8250E-14 -1.5697E-13 1.9831E-12 5.8496E-12
7.7694E-13 2.0169E-12 1.1151E-13 -3.8941E-13 3.3455E-12 1.4440E-11
4.8250E-14 1.1151E-13 2.6829E-13 -8.9423E-14 1.9020E-13 8.1431E-13
-1.5697E-13 -3.8941E-13 -8.9423E-14 1.1862E-13 -6.3765E-13 -2.8592E-12
1.9831E-12 3.3455E-12 1.9020E-13 -6.3765E-13 6.9392E-12 2.3711E-11
5.8496E-12 1.4440E-11 8.1431E-13 -2.8592E-12 2.3711E-11 1.0598E-10
# lat0 lon0 xBary yBary zBary JD0
2.953849 -8.128108 0.061581 0.051918 -1.004280 2456546.767898
# Heliocentric elements and errors
Epoch: 2456546.5000 = 2013/09/11
Mean Anomaly: 15.39090 +/- 0.013
Argument of Peri: 116.11436 +/- 0.047
Long of Asc Node: 185.99948 +/- 0.000
Inclination: 11.56262 +/- 0.000
Eccentricity: 0.50271393 +/- 0.0002
Semi-Major Axis: 67.99901140 +/- 0.0274
Time of Perihelion: 2447790.3383 +/- 9.1
Perihelion: 33.81496121 +/- 0.0195
Aphelion: 102.18306159 +/- 0.0435
Period (y) 560.7407 +/- 0.34
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 37.84522073 +/- 0.0036
Ecliptic Y -5.46417180 +/- 0.0005
Ecliptic Z 1.92106713 +/- 0.0002
Ecliptic XDOT 0.00139021 +/- 0.0000
Ecliptic YDOT 0.00297366 +/- 0.0000
Ecliptic ZDOT -0.00057532 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.28567977 +/- 0.0036
Geocenter to KBO 37.28199227 +/- 0.0037
# Hcoef: 8.03
The following table shows the complete astrometric record for 13RV157. 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 (13RV157) followed by the observatory code and reference code for the source of the astrometry.
2013 09 11.26712 23 25 28.820 -00 30 32.99 24.7g 13RV157 W84 C~52RP 2013 09 30.11140 23 24 02.814 -00 41 07.91 24.3r 13RV157 W84 C~52RP 2013 09 30.11286 23 24 02.811 -00 41 07.98 23.5i 13RV157 W84 C~52RP 2013 10 12.08642 23 23 12.886 -00 47 36.92 23.5i 13RV157 W84 C~52RP 2013 10 12.10619 23 23 12.815 -00 47 37.25 23.0z 13RV157 W84 C~52RP 2014 10 27.17110 23 29 17.584 -00 32 39.05 24.1r 13RV157 W84 C~52RP 2015 11 08.04459 23 35 33.754 -00 15 39.45 24.8r 13RV157 W84 C~52RP 2017 11 15.03240 23 48 29.324 +00 23 59.09 23.2r 13RV157 W84 C~52RP 2017 11 17.02350 23 48 25.452 +00 23 22.07 24.1r 13RV157 W84 C~52RP 2018 09 17.28275 23 58 36.079 +01 12 44.68 23.2i 13RV157 W84 C~52RP
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 -0.17 0.00 -0.15
2 0.0516 0.00 0.05 0.00 0.00
3 0.0516 0.00 0.10 0.00 -0.02
4 0.0844 0.00 -0.07 0.00 -0.08
5 0.0844 0.00 0.05 0.00 0.20
6 1.1250 0.00 -0.03 0.00 0.19
7 2.1568 0.00 0.21 0.00 -0.10
8 4.1773 0.00 -0.14 0.00 0.12
9 4.1828 0.00 -0.01 0.00 -0.33
10 5.0158 0.00 0.05 0.00 0.18
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.
13RV157 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 68.676 68.676 68.675 ecceobj 0.508 0.508 0.508 incobj 11.540 11.540 11.540 qmin 33.277 33.196 33.277 qmax 104.827 104.610 105.818 amean 66.481 67.596 67.842 amin 64.369 65.922 66.381 amax 69.406 69.409 69.941 emean 0.482 0.492 0.494 emin 0.457 0.468 0.473 emax 0.512 0.511 0.513 imean 13.307 12.964 12.914 imin 11.325 11.325 11.325 imax 14.655 14.311 14.187 excite_mean 0.534 0.541 0.542 fracstop 1.000 1.000 1.000 cjmean 2.987 2.987 2.988 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 183.8 182.9 182.2 kozaiamp 180.0 180.0 180.0