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: 15RG301 # Created Mon Nov 11 02:10:29 2024 # Orbit generated from Bernstein formalism # Fitting 5 observations of 5 # Arc: 41.13d # First observation: 2015/09/05 # Last observation: 2015/10/16 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.017646 -0.000000 0.001206 0.019491 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 2.72 DOF: 5 RMS: 0.13 # Min/Max residuals: -0.22 0.19 # Exact a, adot, b, bdot, g, gdot: 1.422366E-05 1.606901E-02 1.128787E-06 1.452807E-03 1.927905E-02 -4.997905E-03 # Covariance matrix: 1.0581E-10 1.1974E-07 -1.2100E-11 -1.6391E-08 2.6121E-08 2.2037E-07 1.1974E-07 1.3615E-04 -1.3758E-08 -1.8636E-05 2.9697E-05 2.5011E-04 -1.2100E-11 -1.3758E-08 1.8745E-12 1.8789E-09 -3.0008E-09 -2.5252E-08 -1.6391E-08 -1.8636E-05 1.8789E-09 2.5511E-06 -4.0649E-06 -3.4159E-05 2.6121E-08 2.9697E-05 -3.0008E-09 -4.0649E-06 6.4783E-06 5.4887E-05 2.2037E-07 2.5011E-04 -2.5252E-08 -3.4159E-05 5.4887E-05 6.4667E-04 # lat0 lon0 xBary yBary zBary JD0 -9.374534 -37.220212 -0.334372 -0.155367 -0.942036 2457270.572519 # Heliocentric elements and errors Epoch: 2457270.5000 = 2015/09/05 Mean Anomaly: 290.77661 +/- 97.702 Argument of Peri: 42.45308 +/- 179.797 Long of Asc Node: 23.07816 +/- 45.306 Inclination: 10.60699 +/- 4.765 Eccentricity: 0.29019378 +/- 1.5494 Semi-Major Axis: 53.95585443 +/- 27.3748 Time of Perihelion: 2485106.4869 +/- 33087.3 Perihelion: 38.29820113 +/- 85.8264 Aphelion: 69.61350773 +/- 90.7526 Period (y) 396.3383 +/- 301.63 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.71255898 +/- 5.3800 Ecliptic Y -31.26725801 +/- 4.0872 Ecliptic Z -8.44887621 +/- 1.1154 Ecliptic XDOT 0.00084756 +/- 0.0036 Ecliptic YDOT 0.00221403 +/- 0.0014 Ecliptic ZDOT 0.00031922 +/- 0.0008 # Distances at JD0 (AU) Heliocenter to KBO 52.81062875 +/- 4.8934 Geocenter to KBO 51.86978022 +/- 6.8479 # Hcoef: 8.07
The following table shows the complete astrometric record for 15RG301. 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 (15RG301) followed by the observatory code and reference code for the source of the astrometry.
2015 09 05.07173 21 53 43.526 -22 45 28.95 25.2r 15RG301 807 C~3wqJ 2015 09 05.14618 21 53 43.260 -22 45 29.99 15RG301 807 C~3wqJ 2015 09 05.21859 21 53 42.976 -22 45 30.93 15RG301 807 C~3wqJ 2015 10 16.11546 21 51 39.431 -22 50 13.11 15RG301 304 C~3wqJ 2015 10 16.20209 21 51 39.283 -22 50 12.63 15RG301 304 C~3wqJ
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 -0.22 0.00 0.01
2 0.0002 -3.81 0.11 0.29 -0.06
3 0.0004 -7.82 0.11 0.75 0.05
4 0.1124 -1709.81 -0.19 319.60 -0.10
5 0.1126 -1711.57 0.19 320.75 0.10
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.
15RG301 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0