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: 24LV7 # Created Wed Jul 17 01:12:01 2024 # Orbit generated from Bernstein formalism # Fitting 14 observations of 14 # Arc: 1.25y # First observation: 2023/03/28 # Last observation: 2024/06/28 Preliminary a, adot, b, bdot, g, gdot: 0.000177 0.611402 -0.000215 0.045549 0.276288 0.000000 # WARNING MRQMIN stopped after 17 iterations -- oscilliatory solution # Chi-squared of fit: 27.07 DOF: 22 RMS: 0.25 # Min/Max residuals: -0.22 0.54 # Exact a, adot, b, bdot, g, gdot: 4.273493E-05 4.736333E-01 2.723613E-06 2.697726E-02 1.789906E-01 -5.446309E-02 # Covariance matrix: 3.6711E-13 -6.1044E-13 9.6547E-17 -2.2155E-14 -1.2668E-13 -4.2222E-13 -6.1044E-13 1.2660E-09 7.9426E-13 8.4148E-11 3.6827E-10 2.1308E-09 9.6547E-17 7.9426E-13 3.6719E-13 -2.4989E-13 2.1001E-13 1.3929E-12 -2.2155E-14 8.4148E-11 -2.4989E-13 5.9188E-12 2.4603E-11 1.4135E-10 -1.2668E-13 3.6827E-10 2.1001E-13 2.4603E-11 1.0983E-10 6.1292E-10 -4.2222E-13 2.1308E-09 1.3929E-12 1.4135E-10 6.1292E-10 3.6061E-09 # lat0 lon0 xBary yBary zBary JD0 26.730324 -146.957878 0.439878 0.407211 -0.809111 2460031.935744 # Heliocentric elements and errors Epoch: 2460030.5000 = 2023/03/27 Mean Anomaly: 320.58679 +/- 0.012 Argument of Peri: 140.76547 +/- 0.020 Long of Asc Node: 130.27477 +/- 0.001 Inclination: 23.47579 +/- 0.000 Eccentricity: 0.23916223 +/- 0.0001 Semi-Major Axis: 7.58734163 +/- 0.0009 Time of Perihelion: 2460866.2419 +/- 0.2 Perihelion: 5.77273606 +/- 0.0012 Aphelion: 9.40194721 +/- 0.0015 Period (y) 20.8998 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -5.17291973 +/- 0.0002 Ecliptic Y -2.84541900 +/- 0.0002 Ecliptic Z 2.51297366 +/- 0.0001 Ecliptic XDOT 0.00472753 +/- 0.0000 Ecliptic YDOT -0.00555747 +/- 0.0000 Ecliptic ZDOT -0.00000618 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 6.41642770 +/- 0.0002 Geocenter to KBO 5.58688575 +/- 0.0003 # Hcoef: 13.73
The following table shows the complete astrometric record for 24LV7. 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 (24LV7) followed by the observatory code and reference code for the source of the astrometry.
2023 03 28.434943 14 39 32.954 +12 38 53.49 22.1w 24LV7 F52 C~875K 2023 03 28.445743 14 39 32.789 +12 38 56.02 22.3w 24LV7 F52 C~875K 2023 03 28.456516 14 39 32.622 +12 38 58.78 22.1w 24LV7 F52 C~875K 2023 03 28.467299 14 39 32.437 +12 39 01.16 22.0w 24LV7 F52 C~875L 2024 06 03.384616 16 09 10.899 +05 45 48.41 21.7w 24LV7 F52 C~875L 2024 06 03.396568 16 09 10.600 +05 45 47.93 21.7w 24LV7 F52 C~875L 2024 06 03.408508 16 09 10.290 +05 45 47.67 21.6w 24LV7 F52 C~875L 2024 06 03.420596 16 09 09.960 +05 45 47.36 21.4w 24LV7 F52 C~875L 2024 06 14.428480 16 04 44.002 +05 34 18.07 21.9w 24LV7 F51 C~875L 2024 06 14.440463 16 04 43.727 +05 34 16.98 21.6w 24LV7 F51 C~875L 2024 06 14.453434 16 04 43.419 +05 34 15.75 21.6w 24LV7 F51 C~875L 2024 06 28.332926 16 00 04.268 +05 04 26.40 21.6w 24LV7 F52 C~875L 2024 06 28.347372 16 00 04.015 +05 04 23.96 21.8w 24LV7 F52 C~875L 2024 06 28.376338 16 00 03.494 +05 04 19.00 22.0w 24LV7 F52 C~875L
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 -0.18 0.00 -0.07
2 0.0000 -3.13 0.01 1.55 -0.06
3 0.0001 -6.37 0.10 3.31 0.17
4 0.0001 -9.73 0.08 4.62 -0.06
5 1.1854 87887.29 0.19 7271.80 0.13
6 1.1854 87882.66 0.42 7269.34 0.11
7 1.1854 87877.76 0.36 7267.03 0.23
8 1.1855 87872.55 0.06 7264.54 0.19
9 1.2156 83908.05 0.48 4841.20 0.14
10 1.2156 83904.15 0.54 4838.34 0.19
11 1.2157 83899.79 0.46 4835.13 0.14
12 1.2537 80270.84 0.22 1283.44 0.08
13 1.2537 80267.94 0.33 1279.43 0.03
14 1.2538 80261.93 0.34 1271.25 -0.22
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.