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: 19CC31 # Created Sun Nov 24 02:10:55 2024 # Orbit generated from Bernstein formalism # Fitting 21 observations of 21 # Arc: 4.87y # First observation: 2015/03/17 # Last observation: 2020/01/30 Preliminary a, adot, b, bdot, g, gdot: -0.000076 0.017300 0.000018 -0.005014 0.020703 0.000000 # Chi-squared of fit: 9.22 DOF: 36 RMS: 0.12 # Min/Max residuals: -0.19 0.33 # Exact a, adot, b, bdot, g, gdot: 1.310556E-05 1.692814E-02 -3.728307E-06 -4.908640E-03 2.053194E-02 -5.124624E-03 # Covariance matrix: 7.2631E-13 -3.2130E-13 -8.4125E-15 4.2648E-14 -1.5888E-13 -2.0004E-12 -3.2130E-13 8.5924E-13 4.6554E-14 -2.3569E-13 1.0561E-12 1.1074E-11 -8.4125E-15 4.6554E-14 6.9971E-13 -1.8723E-13 6.1374E-14 6.3573E-13 4.2648E-14 -2.3569E-13 -1.8723E-13 1.1641E-13 -3.0995E-13 -3.2183E-12 -1.5888E-13 1.0561E-12 6.1374E-14 -3.0995E-13 1.8306E-12 1.4609E-11 -2.0004E-12 1.1074E-11 6.3573E-13 -3.2183E-12 1.4609E-11 1.5122E-10 # lat0 lon0 xBary yBary zBary JD0 6.009412 179.282643 0.051494 0.103833 -0.985066 2457098.932133 # Heliocentric elements and errors Epoch: 2457090.5000 = 2015/03/09 Mean Anomaly: 287.89632 +/- 0.090 Argument of Peri: 263.86802 +/- 0.051 Long of Asc Node: 18.71115 +/- 0.001 Inclination: 17.18146 +/- 0.001 Eccentricity: 0.27786268 +/- 0.0006 Semi-Major Axis: 50.18177307 +/- 0.0265 Time of Perihelion: 2483096.4291 +/- 25.0 Perihelion: 36.23813087 +/- 0.0376 Aphelion: 64.12541526 +/- 0.0468 Period (y) 355.4899 +/- 0.28 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -49.42610861 +/- 0.0032 Ecliptic Y 0.67012021 +/- 0.0001 Ecliptic Z 5.09880401 +/- 0.0003 Ecliptic XDOT 0.00057933 +/- 0.0000 Ecliptic YDOT -0.00227054 +/- 0.0000 Ecliptic ZDOT -0.00072240 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 49.69292783 +/- 0.0032 Geocenter to KBO 48.70460213 +/- 0.0032 # Hcoef: 7.01
The following table shows the complete astrometric record for 19CC31. 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 (19CC31) followed by the observatory code and reference code for the source of the astrometry.
2015 03 17.431355 12 06 57.76 +05 47 49.5 19CC31 T09 C~89Vd 2015 03 17.588632 12 06 57.13 +05 47 53.2 19CC31 T09 C~89Vd 2018 04 22.387062 12 14 08.32 +04 01 49.3 19CC31 T09 C~89Vd 2019 02 05.56175 12 21 56.14 +02 54 30.4 23.6i 19CC31 T09 C~870W 2019 02 05.58976 12 21 56.06 +02 54 30.7 23.7i 19CC31 T09 C~870W 2019 02 05.60340 12 21 56.02 +02 54 31.1 23.5i 19CC31 T09 C~870W 2019 02 05.63031 12 21 55.96 +02 54 31.4 23.7i 19CC31 T09 C~870W 2019 02 28.581121 12 20 46.32 +03 02 23.1 19CC31 T09 C~89Vd 2019 02 28.584496 12 20 46.32 +03 02 23.2 19CC31 T09 C~89Vd 2019 03 03.587501 12 20 35.45 +03 03 32.4 19CC31 T09 C~89Vd 2019 03 03.643764 12 20 35.24 +03 03 33.7 19CC31 T09 C~89Vd 2019 04 04.45230 12 18 29.73 +03 15 48.2 24.3g 19CC31 T09 C~870W 2019 04 04.47412 12 18 29.62 +03 15 48.5 24.4g 19CC31 T09 C~870W 2019 04 04.49512 12 18 29.55 +03 15 49.0 24.4g 19CC31 T09 C~870W 2019 04 04.49722 12 18 29.55 +03 15 49.4 24.3g 19CC31 T09 C~870W 2019 04 04.51607 12 18 29.46 +03 15 49.4 24.5g 19CC31 T09 C~870W 2019 04 05.53706 12 18 25.40 +03 16 11.5 24.1r 19CC31 T09 C~870W 2019 04 05.55801 12 18 25.30 +03 16 11.7 23.6r 19CC31 T09 C~870W 2019 04 05.56011 12 18 25.30 +03 16 11.9 23.4r 19CC31 T09 C~870W 2019 04 05.57896 12 18 25.24 +03 16 12.0 23.5r 19CC31 T09 C~870W 2020 01 30.609170 12 25 23.61 +02 12 14.9 19CC31 T09 C~89Vd
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 -0.01 2 0.0004 -10.10 0.01 -0.37 0.04 3 3.0991 8450.61 0.06 -3247.46 -0.14 4 3.8908 16521.20 0.04 -4124.45 0.21 5 3.8909 16519.97 -0.02 -4124.66 -0.03 6 3.8910 16519.26 -0.17 -4124.54 0.08 7 3.8910 16518.31 -0.01 -4124.62 -0.03 8 3.9539 15366.39 0.06 -4113.90 -0.16 9 3.9539 15366.35 0.22 -4113.81 -0.07 10 3.9621 15188.45 -0.04 -4116.17 0.01 11 3.9623 15185.03 -0.05 -4116.25 0.00 12 4.0493 13158.83 0.10 -4202.01 0.10 13 4.0494 13157.20 -0.13 -4202.40 -0.18 14 4.0495 13156.03 0.06 -4202.36 -0.04 15 4.0495 13155.87 0.03 -4201.99 0.33 16 4.0495 13154.63 0.01 -4202.54 -0.12 17 4.0523 13089.81 -0.07 -4206.81 0.19 18 4.0524 13088.35 -0.19 -4207.23 -0.13 19 4.0524 13088.27 -0.14 -4207.05 0.06 20 4.0524 13087.40 0.20 -4207.32 -0.12 21 4.8739 20423.43 0.04 -5193.81 0.01
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.