Orbital Analysis for matched events on 20210810_000447.424_UK

Summary for Event
-----------------
shower ID 547 KAP
Lg 57.41° Bg 16.90° Vg 64.62km/s
mass 0.00553g, abs. mag 0.9
Path Details
------------
start 1.03° 52.94° 106.21km
end   0.86° 52.89° 99.13km

Orbit Details
-------------
Semimajor axis 3.01A.U., eccentricity 0.70, inclination 149.17°, Period 5.23Y, LA Sun 137.31°, last Perihelion 2021-07-12

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: 2459436.503326674458
Time: 2021-08-10 00:04:47.424673 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 28.69584 deg
 R.A. =  50.17639  Dec = +36.20970 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 28.70 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3040559.84 +/- 91.18 m
 Y =  -2468586.04 +/- 17.74 m
 Z =   5150974.07 +/- 37.06 m
 Vx =    33659.08 +/- 580.39 m/s
 Vy =    40644.62 +/- 563.50 m/s
 Vz =    38916.64 +/- 335.37 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.795662e+03, -7.578674e+02, +3.207872e+03, +5.089052e+04, -3.204166e+03, +2.121112e+04
-7.578674e+02, +3.360505e+02, -3.431133e+02, -4.403054e+03, +6.522736e+02, -2.821375e+03
+3.207872e+03, -3.431133e+02, +1.449900e+03, +1.782773e+04, -1.995954e+03, +9.113557e+03
+5.089052e+04, -4.403054e+03, +1.782773e+04, +3.529323e+05, -2.555881e+04, +1.450864e+05
-3.204166e+03, +6.522736e+02, -1.995954e+03, -2.555881e+04, +6.083722e+03, -1.677118e+04
+2.121112e+04, -2.821375e+03, +9.113557e+03, +1.450864e+05, -1.677118e+04, +7.221772e+04

Timing offsets (from input data):
    UK002K: 0.000000 s
    UK0032: -0.000215 s

Reference point on the trajectory:
  Time: 2021-08-10 00:04:47.424673 UTC
  Lon     = ++1.033281 +/- 0.0008 deg
  Lat     = +52.935024 +/- 0.0004 deg
  Lat geo = +52.752807 +/- 0.0004 deg
  Ht      =  106208.76 +/- 73.96 m

  JD dynamic   = 2459436.504127415363 
  LST apparent = 320.9273598024 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  50.37078 +/- 0.5155 deg
  Dec       = +36.40670 +/- 0.0984 deg
  Azimuth   =  66.40709 +/- 0.3506 deg
  Elevation = +28.57490 +/- 0.2962 deg
  Vavg      =  62.34396 +/- 0.4744 km/s
  Vinit     =  65.57000 +/- 0.4119 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  50.37378 +/- 0.5155 deg
  Dec       = +36.25911 +/- 0.0984 deg
  Azimuth   =  66.52031 +/- 0.3506 deg
  Elevation = +28.46585 +/- 0.2962 deg
  Vavg      =  62.57403 +/- 0.4744 km/s
  Vinit     =  65.80006 +/- 0.4119 km/s
Radiant (geocentric, J2000):
  R.A.   =  50.44840 +/- 0.5217 deg
  Dec    = +35.97039 +/- 0.0996 deg
  Vg     =  64.62374 +/- 0.4180 km/s
  Vinf   =  65.57000 +/- 0.4119 km/s
  Zc     =  61.49816 +/- 0.2972 deg
  Zg     =  61.99363 +/- 0.3063 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  57.41071 +/- 0.4244 deg
  Bg     = +16.89971 +/- 0.1542 deg
  Vh     =  38.15374 +/- 0.3755 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  65.84904 +/- 0.8745 deg
  Bh     = +29.49874 +/- 0.1966 deg
  Vh_x   = -13.58669 +/- 0.5803 km/s
  Vh_y   = -30.30109 +/- 0.0673 km/s
  Vh_z   = -18.78707 +/- 0.2699 km/s
Orbit:
  La Sun = 137.312330 +/- nan deg
  a      =   3.012456 +/- 0.2795 AU
  e      =   0.695021 +/- 0.0255
  i      = 149.174637 +/- 0.1696 deg
  peri   = 140.475141 +/- 2.9261 deg
  node   = 137.306830 +/- 0.0000 deg
  Pi     = 277.781971 +/- 2.9261 deg
  q      =   0.918737 +/- 0.0115 AU
  f      =  39.517622 +/- 2.9261 deg
  M      =   5.467071 +/- 1.2567 deg
  Q      =   5.106175 +/- 0.5479 AU
  n      =   0.188505 +/- 0.0279 deg/day
  T      =   5.228555 +/- 0.7262 years
  Last perihelion JD = 2459407.501880 (2021-07-12 00:02:42.390187) +/- 2.0661 days
  Tj     =   0.788094 +/- 0.1803
Shower association:
  IAU No.  =  547
  IAU code =  KAP

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.853126e-04, +3.046390e-04, +5.508289e-02, +7.779336e-11, +1.356877e-03, -4.296653e-07
q   , +3.046390e-04, +1.403364e-04, +2.511337e-02, -5.934870e-10, +6.212254e-04, +2.295100e-06
Tp  , +5.508289e-02, +2.511337e-02, +4.507706e+00, -8.042482e-08, +1.113698e-01, +3.086662e-04
node, +7.779336e-11, -5.934870e-10, -8.042482e-08, +6.014948e-13, -2.263721e-09, -2.388978e-09
peri, +1.356877e-03, +6.212254e-04, +1.113698e-01, -2.263721e-09, +2.752926e-03, +8.721449e-06
i   , -4.296653e-07, +2.295100e-06, +3.086662e-04, -2.388978e-09, +8.721449e-06, +9.488833e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.238243
 a2 = 33.580168

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 1.354e-05 s
  Stddev    = 3.68e-03 s

Begin point on the trajectory:
  Lon =     1.033217 +/- 0.0008 deg
  Lat =    52.935007 +/- 0.0004 deg
  Ht  = 106206.18 +/- 75.66 m
End point on the trajectory:
  Lon =     0.857700 +/- 0.0004 deg
  Lat =    52.888781 +/- 0.0002 deg
  Ht  = 99129.13 +/- 50.79 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.271225,  32.405790,   106206.18,    99129.13,          0.010166,     26.50,      7.76,              49.30, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210810_000442_477_0332288.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   105513.43,    99566.32,          0.013327,     22.32,     17.27,              34.38, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210810_000439_761_0338432.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,     UK002K,       0,  0.000000, 2459436.503326674458, 359.23248,  16.37987,              124.78557,  41.70970,       124.78710,       41.72739,    359.23248,     +16.37987,     359.22208,      +16.39452,  3040557.07, -2468589.39,  5150970.87,      52.935007,       +1.033217,  106206.18,  157907.34,       0.00,                5.40,   274.74,      0.00,           64379.34,     13.71,    -46.89,          63.82,  +6.15,  +5.16
  1,     UK002K,       0,  0.039996, 2459436.503327137325, 358.66495,  16.01715,              125.66084,  41.67227,       125.66206,       41.68455,    358.66495,     +16.01715,     358.65788,      +16.02730,  3039351.91, -2470044.65,  5149577.47,      52.927709,       +1.005409,  105083.54,  156380.38,    2347.71,             2353.10,    -0.09,  58698.59,           64379.34,      9.44,    -32.26,          44.33,  +4.13,  +3.16
  2,     UK002K,       0,  0.079988, 2459436.503327600192, 358.11045,  15.66561,              126.51433,  41.63398,       126.51461,       41.63646,    358.11045,     +15.66561,     358.10931,      +15.66766,  3038198.29, -2471437.70,  5148243.65,      52.920715,       +0.978783,  104009.49,  154937.88,    4595.05,             4600.44,  -375.03,  56194.65,           64379.34,      1.90,     -6.48,           8.98,  +3.39,  +2.44
  3,     UK002K,       0,  0.119976, 2459436.503328063060, 357.29693,  15.14664,              127.76881,  41.56737,       127.76693,       41.55314,    357.29693,     +15.14664,     357.30588,      +15.13489,  3036536.09, -2473444.87,  5146321.82,      52.910622,       +0.940491,  102463.00,  152896.97,    7833.11,             7838.51,   241.03,  80976.00,           64379.34,    -10.73,     36.62,          51.48,  +2.30,  +1.38
  4,     UK002K,       0,  0.159992, 2459436.503328526393, 356.70485,  14.73007,              128.70662,  41.47901,       128.70709,       41.48217,    356.70485,     +14.73007,     356.70364,      +14.73268,  3035314.83, -2474919.59,  5144909.79,      52.903196,       +0.912313,  101327.52,  151422.56,   10212.21,            10217.60,    -3.73,  59453.58,           64780.31,      2.36,     -8.06,          11.44,  +2.66,  +1.76
  5,     UK002K,       0,  0.199984, 2459436.503328989260, 356.08508,  14.32068,              129.67042,  41.40442,       129.66993,       41.40136,    356.08508,     +14.32068,     356.08774,      +14.31816,  3034085.19, -2476404.42,  5143488.09,      52.895710,       +0.883942,  100184.93,  149961.86,   12607.61,            12613.01,  -230.60,  59897.03,           64197.30,     -2.27,      7.75,          11.11,  +2.15,  +1.27
  6,     UK002K,       0,  0.239984, 2459436.503329452127, 355.50534,  13.93059,              130.57573,  41.32326,       130.57482,       41.31808,    355.50534,     +13.93059,     355.50944,      +13.92633,  3032948.34, -2477777.22,  5142173.65,      52.888781,       +0.857700,   99129.13,  148632.71,   14822.28,            14827.68,  -638.73,  55366.79,           63042.88,     -3.81,     13.00,          18.79,  +4.53,  +3.67
  0,     UK0032,       0,  0.028988, 2459436.503327009268,   6.25293,  39.39650,               94.45136,  55.86465,        94.46176,       55.85809,      6.25293,     +39.39650,       6.25489,      +39.38784,  3039813.48, -2469487.30,  5150111.13,      52.930505,       +1.016042,  105513.43,  127004.21,       0.00,             1453.95,  -177.43,      0.00,           67242.85,    -11.91,     15.40,          31.61,  +3.73,  +3.21
  1,     UK0032,       0,  0.068564, 2459436.503327467479,   5.30226,  39.24660,               95.49266,  56.34015,        95.47046,       56.35443,      5.30226,     +39.24660,       5.29833,      +39.26517,  3038344.27, -2471261.42,  5148412.43,      52.921600,       +0.982179,  104145.37,  124652.59,    2862.11,             4316.06,    89.68,  72319.32,           67242.85,     25.08,    -32.45,          67.86,  +2.43,  +1.95
  2,     UK0032,       0,  0.108168, 2459436.503327925690,   4.45849,  39.14294,               96.39135,  56.77959,        96.38188,       56.78576,      4.45849,     +39.14294,       4.45705,      +39.15087,  3037093.05, -2472772.32,  5146965.78,      52.914006,       +0.953315,  102981.05,  122666.40,    5299.56,             6753.51,   -69.70,  61545.60,           67242.85,     10.56,    -13.65,          29.03,  +2.32,  +1.88
  3,     UK0032,       0,  0.147708, 2459436.503328383435,   3.47489,  39.01008,               97.47488,  57.28262,        97.47615,       57.28178,      3.47489,     +39.01008,       3.47578,      +39.00902,  3035676.89, -2474482.38,  5145328.41,      52.905399,       +0.920669,  101664.09,  120439.61,    8058.33,             9512.28,    96.42,  69771.48,           67242.85,     -1.39,      1.80,           3.90,  +1.87,  +1.47
  4,     UK0032,       0,  0.187272, 2459436.503328841180,   2.55241,  38.89008,               98.50402,  57.75553,        98.52926,       57.73846,      2.55241,     +38.89008,       2.55882,      +38.86878,  3034394.67, -2476030.71,  5143845.91,      52.897595,       +0.891094,  100472.44,  118442.54,   10556.17,            12010.12,     0.05,  63134.23,           66484.03,    -27.52,     35.54,          78.28,  +1.78,  +1.41
  5,     UK0032,       0,  0.226948, 2459436.503329300322,   1.83809,  38.76393,               99.36231,  58.09888,        99.37349,       58.09119,      1.83809,     +38.76393,       1.84165,      +38.75445,  3033419.18, -2477208.66,  5142718.04,      52.891652,       +0.868554,   99566.32,  116934.92,   12456.50,            13910.45,  -701.17,  47896.14,           63604.36,    -12.12,     15.65,          34.91,  +3.66,  +3.32

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.