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: 15VR207 # Created Sat Apr 27 01:17:55 2024 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 4.11y # First observation: 2014/10/21 # Last observation: 2018/11/29 Preliminary a, adot, b, bdot, g, gdot: 0.000446 0.027281 -0.000296 -0.013298 0.025396 0.000000 # Chi-squared of fit: 8.92 DOF: 20 RMS: 0.15 # Min/Max residuals: -0.33 0.20 # Exact a, adot, b, bdot, g, gdot: 1.784727E-05 2.814660E-02 -8.988595E-06 -1.373551E-02 2.609335E-02 6.997794E-03 # Covariance matrix: 8.6172E-13 -8.0487E-13 -2.4499E-13 3.4478E-13 -2.2628E-13 -5.6129E-12 -8.0487E-13 1.3335E-12 4.6326E-13 -6.5686E-13 1.0235E-12 1.0637E-11 -2.4499E-13 4.6326E-13 5.7906E-13 -3.6919E-13 3.7135E-13 3.8633E-12 3.4478E-13 -6.5686E-13 -3.6919E-13 3.9635E-13 -5.3520E-13 -5.4782E-12 -2.2628E-13 1.0235E-12 3.7135E-13 -5.3520E-13 1.8696E-12 8.5688E-12 -5.6129E-12 1.0637E-11 3.8633E-12 -5.4782E-12 8.5688E-12 8.8711E-11 # lat0 lon0 xBary yBary zBary JD0 -5.919446 28.262441 0.014128 -0.102664 -0.991899 2456951.770138 # Heliocentric elements and errors Epoch: 2456950.5000 = 2014/10/20 Mean Anomaly: 9.59837 +/- 0.010 Argument of Peri: 156.92072 +/- 0.038 Long of Asc Node: 196.63140 +/- 0.000 Inclination: 26.65373 +/- 0.000 Eccentricity: 0.53688223 +/- 0.0003 Semi-Major Axis: 79.21756783 +/- 0.0379 Time of Perihelion: 2450084.1510 +/- 5.5 Perihelion: 36.68706298 +/- 0.0275 Aphelion: 121.74807269 +/- 0.0619 Period (y) 705.0833 +/- 0.51 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.45739331 +/- 0.0018 Ecliptic Y 18.51158376 +/- 0.0010 Ecliptic Z -3.95274331 +/- 0.0002 Ecliptic XDOT -0.00089053 +/- 0.0000 Ecliptic YDOT 0.00287188 +/- 0.0000 Ecliptic ZDOT -0.00150913 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.31430868 +/- 0.0016 Geocenter to KBO 38.32393991 +/- 0.0020 # Hcoef: 7.72
The following table shows the complete astrometric record for 15VR207. 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 (15VR207) followed by the observatory code and reference code for the source of the astrometry.
2014 10 21.26936 01 53 29.236 +05 19 13.93 23.9r 15VR207 W84 C~55XF 2015 11 06.17272 01 59 24.052 +05 00 30.82 23.2i 15VR207 W84 C~55XF 2015 11 06.17409 01 59 24.047 +05 00 30.92 23.8r 15VR207 W84 C~55XF 2015 11 18.17421 01 58 31.662 +04 54 52.11 23.6r 15VR207 W84 C~55XF 2015 11 18.17559 01 58 31.676 +04 54 51.76 22.6i 15VR207 W84 C~55XF 2015 11 18.17833 01 58 31.664 +04 54 51.85 24.7g 15VR207 W84 C~55XF 2016 11 25.15966 02 05 00.272 +04 41 33.29 24.3r 15VR207 W84 C~55XF 2017 10 22.22735 02 14 25.068 +04 47 13.97 24.1r 15VR207 W84 C~55XF 2017 10 29.24143 02 13 52.676 +04 43 28.44 23.1z 15VR207 W84 C~55XF 2018 09 09.29688 02 23 52.691 +05 00 21.15 23.2z 15VR207 W84 C~55XF 2018 11 16.14261 02 19 20.094 +04 24 31.18 23.1i 15VR207 W84 C~55XF 2018 11 29.17340 02 18 26.259 +04 19 38.67 23.3r 15VR207 W84 C~55XF 2018 11 29.17477 02 18 26.237 +04 19 38.83 24.7g 15VR207 W84 C~55XF
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 -0.16 0.00 0.14
2 1.0429 4570.92 0.11 -2911.74 -0.01
3 1.0429 4570.88 0.18 -2911.62 0.11
4 1.0757 3718.56 -0.08 -2955.03 0.08
5 1.0757 3718.63 0.09 -2955.43 -0.32
6 1.0757 3718.50 0.14 -2955.28 -0.17
7 2.0969 8890.74 -0.33 -5734.63 0.15
8 3.0033 16970.13 0.05 -8353.81 -0.12
9 3.0225 16434.02 -0.08 -8398.10 0.20
10 3.8851 25311.33 -0.00 -10555.43 -0.06
11 4.0708 20685.38 -0.01 -11175.25 -0.14
12 4.1065 19819.20 0.13 -11171.46 -0.06
13 4.1065 19818.94 -0.04 -11171.19 0.20
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.
15VR207 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 80.735 80.860 80.610 ecceobj 0.546 0.547 0.545 incobj 26.568 26.568 26.568 qmin 34.771 34.861 34.906 qmax 126.842 127.111 126.383 amean 79.485 79.609 79.351 amin 78.337 78.501 78.077 amax 81.306 81.363 81.254 emean 0.542 0.543 0.541 emin 0.525 0.527 0.525 emax 0.562 0.562 0.559 imean 26.378 26.349 26.391 imin 25.252 25.285 25.352 imax 27.316 27.303 27.319 excite_mean 0.701 0.701 0.700 fracstop 1.000 1.000 1.000 cjmean 2.825 2.825 2.825 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 216.6 208.7 208.6 kozaiamp 180.0 180.0 180.0