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: 19EW7
# Created Wed Jul 17 01:11:38 2024
# Orbit generated from Bernstein formalism
# Fitting 9 observations of 9
# Arc: 33.05d
# First observation: 2019/03/03
# Last observation: 2019/04/05
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.030129 -0.000000 0.000419 0.025354 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 15 iterations -- oscilliatory solution
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 1.06 DOF: 13 RMS: 0.06
# Min/Max residuals: -0.15 0.12
# Exact a, adot, b, bdot, g, gdot:
1.497548E-05 2.304003E-02 -2.466368E-08 4.441454E-04 2.420028E-02 3.334038E-03
# Covariance matrix:
2.8404E-10 4.4067E-07 -1.7874E-12 -1.6824E-09 6.7825E-08 -1.6736E-06
4.4067E-07 6.8456E-04 -2.7767E-09 -2.6137E-06 1.0536E-04 -2.6026E-03
-1.7874E-12 -2.7767E-09 3.7405E-13 6.5273E-12 -4.2734E-10 1.0561E-08
-1.6824E-09 -2.6137E-06 6.5273E-12 1.0065E-08 -4.0218E-07 9.9846E-06
6.7825E-08 1.0536E-04 -4.2734E-10 -4.0218E-07 1.6219E-05 -3.9869E-04
-1.6736E-06 -2.6026E-03 1.0561E-08 9.9846E-06 -3.9869E-04 1.0918E-02
# lat0 lon0 xBary yBary zBary JD0
3.137145 -178.423975 0.333509 0.051331 -0.935861 2458546.026441
# Heliocentric elements and errors
Epoch: 2458540.5000 = 2019/02/26
Mean Anomaly: 86.15847 +/- 74.092
Argument of Peri: 328.27209 +/- 39.381
Long of Asc Node: 111.54980 +/- 29.115
Inclination: 3.27276 +/- 0.628
Eccentricity: 0.13271323 +/- 4.5693
Semi-Major Axis: 41.89276110 +/- 21.6010
Time of Perihelion: 2434837.5511 +/- 118007.0
Perihelion: 36.33303761 +/- 192.3348
Aphelion: 47.45248460 +/- 192.9776
Period (y) 271.1544 +/- 209.72
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -42.18911777 +/- 6.8636
Ecliptic Y -0.83533239 +/- 0.1883
Ecliptic Z 2.26139120 +/- 0.3763
Ecliptic XDOT -0.00029388 +/- 0.0119
Ecliptic YDOT -0.00261728 +/- 0.0022
Ecliptic ZDOT 0.00007060 +/- 0.0007
# Distances at JD0 (AU)
Heliocenter to KBO 42.25793806 +/- 6.8525
Geocenter to KBO 41.32183179 +/- 6.8765
# Hcoef: 7.70
The following table shows the complete astrometric record for 19EW7. 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 (19EW7) followed by the observatory code and reference code for the source of the astrometry.
2019 03 03.52564 12 10 46.55 +02 15 05.5 23.2z 19EW7 T09 C~85K8 2019 03 03.56606 12 10 46.37 +02 15 06.5 23.3z 19EW7 T09 C~85K8 2019 03 03.56874 12 10 46.37 +02 15 06.8 23.3z 19EW7 T09 C~85K8 2019 03 03.62241 12 10 46.14 +02 15 08.2 23.4z 19EW7 T09 C~85K8 2019 04 04.45934 12 08 26.36 +02 30 36.8 24.9g 19EW7 T09 C~85K8 2019 04 04.51189 12 08 26.13 +02 30 38.1 24.9g 19EW7 T09 C~85K8 2019 04 05.52240 12 08 21.73 +02 31 06.0 23.8r 19EW7 T09 C~85K8 2019 04 05.54335 12 08 21.64 +02 31 06.5 24.2r 19EW7 T09 C~85K8 2019 04 05.57477 12 08 21.50 +02 31 07.4 24.2r 19EW7 T09 C~85K8
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 0.02 0.00 0.06
2 0.0001 -2.87 -0.05 -0.16 -0.15
3 0.0001 -2.99 0.02 0.12 0.12
4 0.0003 -6.71 0.02 0.03 -0.04
5 0.0874 -2298.20 -0.04 18.79 0.02
6 0.0876 -2301.88 0.06 18.62 -0.09
7 0.0903 -2373.49 -0.03 18.01 0.05
8 0.0904 -2374.92 0.03 17.93 -0.00
9 0.0905 -2377.21 -0.02 17.92 0.02
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.