Orbital Analysis for matched events on 20210813_004919.466_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 17.24° Bg 29.46° Vg 57.74km/s
mass 0.02582g, abs. mag -1.1
Path Details
------------
start 2.28° 52.84° 105.74km
end   2.21° 52.87° 95.29km

Orbit Details
-------------
Semimajor axis 58.83A.U., eccentricity 0.99, inclination 114.22°, Period 451.23Y, LA Sun 140.22°, last Perihelion 1570-06-25

Full details below
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Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459439.534253086429
Time: 2021-08-13 00:49:19.481755 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK002K
 Convergence angle = 21.67317 deg
 R.A. =   2.16113  Dec = +34.34627 deg
Intersection 2 - Stations: UK000Z and UK0032
 Convergence angle = 6.95386 deg
 R.A. =   3.64906  Dec = +33.99144 deg
Intersection 3 - Stations: UK002K and UK0032
 Convergence angle = 28.62569 deg
 R.A. =   2.47218  Dec = +34.14954 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 28.63 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3593589.37 +/- 143.49 m
 Y =  -1577840.38 +/- 90.27 m
 Z =   5144720.33 +/- 65.70 m
 Vx =    48714.36 +/- 1112.75 m/s
 Vy =     2497.04 +/- 807.07 m/s
 Vz =    32838.19 +/- 897.91 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.101864e+04, +1.297444e+04, +7.980569e+03, +1.311110e+05, +8.236859e+04, +5.059342e+04
+1.297444e+04, +8.363189e+03, +4.732788e+03, +8.099844e+04, +5.170699e+04, +3.062541e+04
+7.980569e+03, +4.732788e+03, +3.824076e+03, +4.668963e+04, +2.772653e+04, +2.280579e+04
+1.311110e+05, +8.099844e+04, +4.668963e+04, +1.118822e+06, +7.371475e+05, +4.289226e+05
+8.236859e+04, +5.170699e+04, +2.772653e+04, +7.371475e+05, +5.006695e+05, +2.795113e+05
+5.059342e+04, +3.062541e+04, +2.280579e+04, +4.289226e+05, +2.795113e+05, +2.053675e+05

Timing offsets (from input data):
    UK000Z: -0.000349 s
    UK002K: -0.000149 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 00:49:19.481755 UTC
  Lon     = ++2.280123 +/- 0.0020 deg
  Lat     = +52.843654 +/- 0.0004 deg
  Lat geo = +52.661273 +/- 0.0004 deg
  Ht      =  106189.02 +/- 107.86 m

  JD dynamic   = 2459439.535054001957 
  LST apparent = 336.2951217837 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =   2.93435 +/- 0.8925 deg
  Dec       = +33.94895 +/- 0.2995 deg
  Azimuth   = 124.29254 +/- 1.0710 deg
  Elevation = +63.24369 +/- 0.6407 deg
  Vavg      =  58.14352 +/- 0.9240 km/s
  Vinit     =  58.80196 +/- 1.1544 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =   3.23404 +/- 0.8925 deg
  Dec       = +33.87889 +/- 0.2995 deg
  Azimuth   = 123.94663 +/- 1.0710 deg
  Elevation = +63.03792 +/- 0.6407 deg
  Vavg      =  58.25057 +/- 0.9240 km/s
  Vinit     =  58.90901 +/- 1.1544 km/s
Radiant (geocentric, J2000):
  R.A.   =   2.83275 +/- 0.8898 deg
  Dec    = +33.63285 +/- 0.2975 deg
  Vg     =  57.74492 +/- 1.1766 km/s
  Vinf   =  58.80196 +/- 1.1544 km/s
  Zc     =  26.65395 +/- 0.6432 deg
  Zg     =  26.90015 +/- 0.6399 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  17.23999 +/- 0.6471 deg
  Bg     = +29.45924 +/- 0.5637 deg
  Vh     =  41.66553 +/- 0.6540 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 344.99709 +/- 2.2669 deg
  Bh     = +42.96956 +/- 0.6529 deg
  Vh_x   = -29.44810 +/- 1.0786 km/s
  Vh_y   =   7.89220 +/- 0.8836 km/s
  Vh_z   = -28.39963 +/- 0.2286 km/s
Orbit:
  La Sun = 140.221390 +/- -0.0000 deg
  a      =  58.829525 +/- 31.7794 AU
  e      =   0.990417 +/- 0.0323
  i      = 114.222137 +/- 2.2801 deg
  peri   = 263.765460 +/- 2.5678 deg
  node   = 140.220853 +/- 0.0002 deg
  Pi     =  43.986313 +/- 2.5679 deg
  q      =   0.563771 +/- 0.0144 AU
  f      = 276.230703 +/- 2.5677 deg
  M      = 359.913612 +/- nan deg
  Q      = 117.095279 +/- 63.5597 AU
  n      =   0.002184 +/- 0.0256 deg/day
  T      = 451.225518 +/- 249443779.5971 years
  Last perihelion JD = 2294666.093117 (1570-06-25 14:14:05.295087) +/- 52803.0603 days
  Tj     =  -0.292558 +/- 0.3535
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.013463e-03, +3.929030e-04, -1.416977e+03, -8.336932e-08, -1.311678e-03, +1.191792e-03
q   , +3.929030e-04, +1.663741e-04, -5.009038e+02, -3.150324e-08, -5.379527e-04, +4.513769e-04
Tp  , -1.416977e+03, -5.009038e+02, +3.121061e+09, +1.342945e-01, +1.728376e+03, -1.906779e+03
node, -8.336932e-08, -3.150324e-08, +1.342945e-01, +7.300331e-12, +1.061741e-07, -1.041481e-07
peri, -1.311678e-03, -5.379527e-04, +1.728376e+03, +1.061741e-07, +1.759388e-03, -1.519998e-03
i   , +1.191792e-03, +4.513769e-04, -1.906779e+03, -1.041481e-07, -1.519998e-03, +1.485972e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 2.998192
 a2 = 18.553468

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 2.107e-06 s
  Stddev    = 1.45e-03 s

Begin point on the trajectory:
  Lon =     2.277404 +/- 0.0018 deg
  Lat =    52.844776 +/- 0.0003 deg
  Ht  = 105741.87 +/- 73.85 m
End point on the trajectory:
  Lon =     2.212815 +/- 0.0020 deg
  Lat =    52.871062 +/- 0.0003 deg
  Ht  = 95285.91 +/- 73.97 m

Stations
--------
        ID, Ignored, Lon +E (deg), Lat +N (deg),  Ht (m), Jacchia a1, Jacchia a2,  Beg Ht (m),  End Ht (m), +/- Obs ang (deg), +/- V (m), +/- H (m), Persp. angle (deg), Weight, FOV Beg, FOV End, Comment
    UK000Z,   False,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,   104424.82,    96250.79,          0.009680,     45.85,     15.94,              45.26, 0.5046,    True,    True, {"ff_name": "FF_UK000Z_20210813_004918_749_0404736.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   5.684603,  14.178283,   105741.87,    95285.91,          0.010156,     29.63,     24.43,              35.02, 0.3294,    True,    True, {"ff_name": "FF_UK002K_20210813_004916_341_0410112.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000019,  70.884980,   104595.22,    96030.04,          0.009950,     31.12,      6.96,              33.62, 0.3066,    True,    True, {"ff_name": "FF_UK0032_20210813_004912_556_0416000.fits"}

Points
------
 No, Station ID,  Ignore,  Time (s),                   JD,     meas1,     meas2, Azim +E of due N (deg), Alt (deg), Azim line (deg), Alt line (deg), RA obs (deg), Dec obs (deg), RA line (deg), Dec line (deg),       X (m),       Y (m),       Z (m), Latitude (deg), Longitude (deg), Height (m),  Range (m), Length (m), State vect dist (m),  Lag (m), Vel (m/s), Vel prev avg (m/s), H res (m), V res (m), Ang res (asec), AppMag, AbsMag
  0,     UK000Z,       0,  0.041730, 2459439.534253573976,  47.38251,  13.51431,               93.61310,  19.69069,        93.61529,       19.69006,     47.38251,     +13.51431,      47.38142,      +13.51254,  3591952.53, -1577924.28,  5143616.94,      52.848084,       +2.269278,  104424.82,  291958.12,       0.00,             1975.79,   -27.78,      0.00,           59248.00,      3.60,    -10.35,           7.74,  +3.03,  +0.70
  1,     UK000Z,       0,  0.082006, 2459439.534254040103,  47.65850,  13.33038,               93.50915,  19.38037,        93.51408,       19.37895,     47.65850,     +13.33038,      47.65599,      +13.32639,  3590017.78, -1578023.45,  5142312.73,      52.853322,       +2.256414,  102339.67,  290302.72,    2335.39,             4311.19,   -60.69,  57984.72,           59248.00,      8.08,    -23.27,          17.50,  +2.00,  -0.31
  2,     UK000Z,       0,  0.122298, 2459439.534254506230,  47.93974,  13.11484,               93.42140,  19.04192,        93.40631,       19.04628,     47.93974,     +13.11484,      47.94904,      +13.12706,  3587973.72, -1578128.23,  5140934.83,      52.858859,       +2.242820,  100136.89,  288564.69,    4802.73,             6778.52,    37.40,  61236.33,           59248.00,    -24.67,     70.96,          53.70,  +1.55,  -0.75
  3,     UK000Z,       0,  0.162578, 2459439.534254972357,  48.22594,  12.93350,               93.30717,  18.72736,        93.30373,       18.72835,     48.22594,     +12.93350,      48.22863,      +12.93629,  3586042.97, -1578227.20,  5139633.32,      52.864091,       +2.229959,   98056.38,  286932.29,    7133.29,             9109.08,    -0.58,  57859.11,           59248.00,     -5.60,     16.12,          12.27,  +1.39,  -0.90
  4,     UK000Z,       0,  0.202822, 2459439.534255438484,  48.46412,  12.75702,               93.22859,  18.44536,        93.21411,       18.44954,     48.46412,     +12.75702,      48.47344,      +12.76877,  3584367.25, -1578313.09,  5138503.73,      52.868633,       +2.218766,   96250.79,  285522.02,    9156.01,            11131.80,  -344.29,  50261.37,           57379.85,    -23.49,     67.57,          51.68,  +2.86,  +0.58
  0,     UK002K,       0,  0.014933, 2459439.534253261052,  29.95699,   9.85971,              112.37915,  27.54044,       112.37987,       27.54035,     29.95699,      +9.85971,      29.95656,       +9.85928,  3593174.51, -1577861.64,  5144440.67,      52.844776,       +2.277404,  105741.87,  222153.52,       0.00,              500.76,    72.96,      0.00,           57692.35,      1.59,     -1.93,           2.32,  +2.62,  +0.89
  1,     UK002K,       0,  0.055225, 2459439.534253727645,  30.20878,   9.59854,              112.31120,  27.18525,       112.32643,       27.18341,     30.20878,      +9.59854,      30.19865,       +9.58946,  3591144.99, -1577965.67,  5143072.58,      52.850270,       +2.263925,  103554.49,  220130.85,    2449.79,             2950.55,   153.50,  60800.91,           57692.35,     33.42,    -40.54,          49.23,  +2.55,  +0.84
  2,     UK002K,       0,  0.095493, 2459439.534254193772,  30.41728,   9.35522,              112.27182,  26.86860,       112.27960,       26.86766,     30.41728,      +9.35522,      30.41237,       +9.35057,  3589379.34, -1578056.18,  5141882.35,      52.855052,       +2.252167,  101651.63,  218377.16,    4581.07,             5081.83,   -83.06,  52927.40,           57692.35,     16.99,    -20.60,          25.22,  +1.80,  +0.10
  3,     UK002K,       0,  0.135801, 2459439.534254659899,  30.65904,   9.06746,              112.22950,  26.49668,       112.22481,       26.49725,     30.65904,      +9.06746,      30.66282,       +9.07027,  3587344.66, -1578160.48,  5140510.79,      52.860564,       +2.238631,   99459.02,  216366.19,    7037.08,             7537.85,     2.77,  60931.14,           57692.35,    -10.18,     12.34,          15.25,  +1.61,  -0.07
  4,     UK002K,       0,  0.176073, 2459439.534255126026,  30.89875,   8.83341,              112.15556,  26.17040,       112.17653,       26.16786,     30.89875,      +8.83341,      30.88509,       +8.82081,  3585565.70, -1578251.66,  5139311.60,      52.865385,       +2.226765,   97542.10,  214614.47,    9184.42,             9685.18,  -217.97,  53320.87,           56983.63,     45.26,    -54.91,          68.39,  +1.60,  -0.06
  5,     UK002K,       0,  0.216405, 2459439.534255593084,  31.14897,   8.52044,              112.12087,  25.77270,       112.11880,       25.77295,     31.14897,      +8.52044,      31.15131,       +8.52168,  3583471.71, -1578359.00,  5137900.04,      52.871062,       +2.212815,   95285.91,  212563.57,   11712.03,            12212.79,   -61.96,  62670.09,           57594.43,     -4.44,      5.39,           6.78,  +2.45,  +0.81
  0,     UK0032,       1,  0.000000, 2459439.534253086429,  39.06653,  23.43363,               94.76242,  33.38959,        94.83863,       33.36324,     39.06653,     +23.43363,      39.03282,      +23.37209,  3593595.05, -1577840.09,  5144724.16,      52.843638,       +2.280224,  106195.14,  189577.74,       0.00,                6.86,   457.12,      0.00,           56138.34,     49.33,   -222.51,         247.97,  +6.39,  +5.00
  1,     UK0032,       0,  0.040252, 2459439.534253552090,  39.32783,  23.24999,               94.68877,  33.09380,        94.70314,       33.08885,     39.32783,     +23.24999,      39.32159,      +23.23837,  3592110.63, -1577916.18,  5143723.51,      52.847656,       +2.270323,  104595.22,  188071.47,    1791.81,             1784.95,  -131.68,  44514.72,           56138.34,      9.32,    -41.71,          46.87,  +2.26,  +0.89
  2,     UK0032,       0,  0.080596, 2459439.534254019149,  39.73269,  23.04615,               94.51130,  32.69641,        94.51117,       32.69645,     39.73269,     +23.04615,      39.73308,      +23.04625,  3590033.63, -1578022.64,  5142323.41,      52.853280,       +2.256526,  102356.76,  185976.27,    4298.91,             4292.05,     3.11,  62143.14,           56138.34,     -0.08,      0.37,           0.42,  +1.97,  +0.62
  3,     UK0032,       0,  0.120928, 2459439.534254486207,  40.14018,  22.86490,               94.31400,  32.31436,        94.32427,       32.31083,     40.14018,     +22.86490,      40.13604,      +22.85657,  3588038.10, -1578124.93,  5140978.23,      52.858685,       +2.243251,  100206.26,  183972.70,    6707.67,             6700.81,    40.27,  59723.38,           56138.34,      6.56,    -29.36,          33.73,  +1.34,  +0.02
  4,     UK0032,       0,  0.161252, 2459439.534254952800,  40.52544,  22.67568,               94.14114,  31.93945,        94.14519,       31.93805,     40.52544,     +22.67568,      40.52426,      +22.67238,  3586150.13, -1578221.71,  5139705.56,      52.863801,       +2.230671,   98171.84,  182085.76,    8986.59,             8979.73,   -51.94,  56515.16,           56772.38,      2.58,    -11.51,          13.36,  +1.21,  -0.09
  5,     UK0032,       0,  0.201604, 2459439.534255419858,  40.93236,  22.45992,               93.97048,  31.53118,        93.95419,       31.53676,     40.93236,     +22.45992,      40.94069,      +22.47319,  3584162.36, -1578323.60,  5138365.61,      52.869189,       +2.217424,   96030.04,  180109.50,   11385.98,            11379.12,   -25.33,  59461.41,           57337.96,    -10.29,     45.90,          53.88,  +2.01,  +0.73
  6,     UK0032,       1,  0.241880, 2459439.534255885985,  41.25490,  22.29268,               93.83212,  31.21029,        93.80445,       31.21976,     41.25490,     +22.29268,      41.26871,      +22.31525,  3582621.16, -1578402.60,  5137326.69,      52.873368,       +2.207107,   94369.50,  178582.26,   13246.33,            13239.47,  -533.28,  46190.21,           56346.93,    -17.40,     77.52,          91.76,  +5.04,  +3.78

Notes
-----
- Points that have not been taken into consideration when computing the trajectory have '1' in the 'Ignore' column.
- The time already has time offsets applied to it.
- 'meas1' and 'meas2' are given input points.
- X, Y, Z are ECI (Earth-Centered Inertial) positions of projected lines of sight on the radiant line.
- Zc is the observed zenith distance of the entry angle, while the Zg is the entry zenith distance corrected for Earth's gravity.
- Latitude (deg) and Longitude (deg) are in WGS84 coordinates, while Height (m) is in the EGM96 datum. There values are coordinates of each point on the radiant line.
- Jacchia (1955) deceleration equation fit was done on the lag.
- Right ascension and declination in the table are given in the epoch of date for the corresponding JD, per every point.
- 'RA and Dec obs' are the right ascension and declination calculated from the observed values, while the 'RA and Dec line' are coordinates of the lines of sight projected on the fitted radiant line. The coordinates are in the epoch of date, and NOT J2000!. 'Azim and alt line' are thus corresponding azimuthal coordinates.
- 'Vel prev avg' is the average velocity including all previous points up to the given point. For the first 4 points this velocity is computed as the average velocity of those 4 points.