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: 24JY40 # Created Sun Nov 24 02:11:16 2024 # Orbit generated from Bernstein formalism # Fitting 16 observations of 16 # Arc: 1.12y # First observation: 2023/04/22 # Last observation: 2024/06/03 Preliminary a, adot, b, bdot, g, gdot: 0.000013 0.522526 0.000020 0.144292 0.235025 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 9999.99 DOF: 26 RMS: 48.15 # Min/Max residuals: -130.90 59.42 # Exact a, adot, b, bdot, g, gdot: 4.385620E-05 4.911449E-01 -1.533073E-05 1.334184E-01 1.927452E-01 2.726377E-02 # Covariance matrix: 2.4489E-13 3.2069E-13 -1.4725E-16 1.6725E-13 1.1654E-13 1.0890E-12 3.2069E-13 3.0746E-09 -1.2281E-12 9.2163E-10 8.2721E-10 5.9321E-09 -1.4725E-16 -1.2281E-12 2.4480E-13 -5.9204E-13 -3.3478E-13 -2.3643E-12 1.6725E-13 9.2163E-10 -5.9204E-13 2.7664E-10 2.4775E-10 1.7787E-09 1.1654E-13 8.2721E-10 -3.3478E-13 2.4775E-10 2.2443E-10 1.5939E-09 1.0890E-12 5.9321E-09 -2.3643E-12 1.7787E-09 1.5939E-09 1.1449E-08 # lat0 lon0 xBary yBary zBary JD0 17.578598 -145.145682 0.064093 0.305136 -0.963914 2460056.649331 # Heliocentric elements and errors Epoch: 2460050.5000 = 2023/04/16 Mean Anomaly: 17.27398 +/- 0.099 Argument of Peri: 23.37380 +/- 0.125 Long of Asc Node: 171.69930 +/- 0.002 Inclination: 21.26654 +/- 0.000 Eccentricity: 0.09259223 +/- 0.0001 Semi-Major Axis: 6.74119161 +/- 0.0003 Time of Perihelion: 2459743.7439 +/- 1.7 Perihelion: 6.11700965 +/- 0.0007 Aphelion: 7.36537357 +/- 0.0007 Period (y) 17.5030 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -4.91599091 +/- 0.0003 Ecliptic Y -3.35108928 +/- 0.0002 Ecliptic Z 1.56684581 +/- 0.0001 Ecliptic XDOT 0.00415149 +/- 0.0000 Ecliptic YDOT -0.00560029 +/- 0.0000 Ecliptic ZDOT 0.00192359 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 6.15237936 +/- 0.0003 Geocenter to KBO 5.18819637 +/- 0.0004 # Hcoef: 13.79
The following table shows the complete astrometric record for 24JY40. 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 (24JY40) followed by the observatory code and reference code for the source of the astrometry.
2023 04 22.14853 14 33 35.45 +03 27 42.1 22.4g 24JY40 W84 C~85ND 2023 04 22.15130 14 33 35.38 +03 27 42.6 22.5g 24JY40 W84 C~85ND 2023 04 22.16508 14 33 35.08 +03 27 45.3 22.6g 24JY40 W84 C~85ND 2023 04 22.16783 14 33 35.01 +03 27 46.0 22.5g 24JY40 W84 C~85ND 2023 04 22.18829 14 33 34.54 +03 27 50.0 22.9g 24JY40 W84 C~85ND 2023 04 22.19244 14 33 34.45 +03 27 50.9 22.5g 24JY40 W84 C~85ND 2024 05 03.493264 16 22 09.669 +02 05 46.34 21.5w 24JY40 F51 C~85ND 2024 05 03.505890 16 22 09.398 +02 05 48.89 21.4w 24JY40 F51 C~85ND 2024 05 03.531161 16 22 08.860 +02 05 53.61 21.4w 24JY40 F51 C~85ND 2024 05 30.436935 16 11 31.850 +03 06 38.95 21.6w 24JY40 F52 C~85ND 2024 05 30.448181 16 11 31.537 +03 06 39.65 21.7w 24JY40 F52 C~85ND 2024 05 30.459398 16 11 31.253 +03 06 40.81 21.6w 24JY40 F52 C~85ND 2024 05 30.470546 16 11 30.988 +03 06 41.54 21.5w 24JY40 F52 C~85ND 2024 06 03.406554 16 09 54.004 +03 10 57.84 21.9w 24JY40 F52 C~85ND 2024 06 03.418641 16 09 53.707 +03 10 58.31 21.6w 24JY40 F52 C~85ND 2024 06 03.430480 16 09 53.400 +03 10 59.22 21.6w 24JY40 F52 C~85ND
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 -0.74 0.00 5.42
2 0.0000 -1.15 -0.75 0.13 5.30
3 0.0000 -6.28 -0.23 1.21 5.17
4 0.0001 -7.50 -0.32 1.53 5.25
5 0.0001 -15.46 0.11 3.01 4.93
6 0.0001 -17.03 0.25 3.42 4.97
7 1.0331 101167.39 19.80 30793.01 -130.90
8 1.0331 101161.56 19.73 30793.93 -130.60
9 1.0332 101150.10 19.84 30795.40 -130.37
10 1.1069 88664.59 2.43 30513.36 50.79
11 1.1069 88659.01 1.98 30512.11 50.51
12 1.1069 88653.75 1.83 30511.52 50.88
13 1.1070 88648.98 2.14 30510.60 50.92
14 1.1177 86912.25 -16.14 30165.23 59.35
15 1.1178 86907.07 -16.01 30163.86 59.20
16 1.1178 86901.55 -16.34 30162.87 59.42
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.