Orbital Analysis for matched events on 20210810_031641.583_UK

Summary for Event
-----------------
shower ID 191 ERI
Lg 37.77° Bg -26.79° Vg 67.24km/s
mass 0.00514g, abs. mag 1.3
Path Details
------------
start -0.71° 50.62° 110.57km
end   -0.90° 50.77° 102.53km

Orbit Details
-------------
Semimajor axis -5.46A.U., eccentricity 1.18, inclination 134.50°, Period 1000000000.00Y, LA Sun 137.44°, 

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: 2459436.636592406314
Time: 2021-08-10 03:16:41.623696 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK002C
 Convergence angle = 21.13220 deg
 R.A. =  44.27106  Dec = -10.66821 deg
Intersection 2 - Stations: UK0001 and UK0038
 Convergence angle = 6.19598 deg
 R.A. =  44.25769  Dec = -10.89960 deg
Intersection 3 - Stations: UK002C and UK0038
 Convergence angle = 27.32814 deg
 R.A. =  44.28809  Dec = -10.72006 deg

Best intersection: Stations UK002C and UK0038 with Qconv = 27.33 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4093212.67 +/- 237.49 m
 Y =    524917.89 +/- 220.35 m
 Z =   4992039.71 +/- 66.91 m
 Vx =    48148.01 +/- 497.07 m/s
 Vy =    46530.08 +/- 440.74 m/s
 Vz =   -12692.01 +/- 349.07 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK0001: 0.000641 s
    UK002C: 0.000100 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 03:16:41.623696 UTC
  Lon     = +-0.693475 +/- 0.0026 deg
  Lat     = +50.606350 +/- 0.0016 deg
  Lat geo = +50.420728 +/- 0.0016 deg
  Ht      =  111458.16 +/- 205.68 m

  JD dynamic   = 2459436.637393607758 
  LST apparent = 7.3077843642 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  44.02098 +/- 0.0551 deg
  Dec       = -10.73329 +/- 0.3897 deg
  Azimuth   = 141.05969 +/- 0.1444 deg
  Elevation = +20.85042 +/- 0.3705 deg
  Vavg      =  64.45485 +/- 0.7542 km/s
  Vinit     =  68.14959 +/- 0.5655 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  44.22685 +/- 0.0551 deg
  Dec       = -10.70513 +/- 0.3897 deg
  Azimuth   = 140.84974 +/- 0.1444 deg
  Elevation = +20.79385 +/- 0.3705 deg
  Vavg      =  64.63203 +/- 0.7542 km/s
  Vinit     =  68.32678 +/- 0.5655 km/s
Radiant (geocentric, J2000):
  R.A.   =  43.98077 +/- 0.0588 deg
  Dec    = -11.30242 +/- 0.4018 deg
  Vg     =  67.24052 +/- 0.5734 km/s
  Vinf   =  68.14959 +/- 0.5655 km/s
  Zc     =  69.00524 +/- 0.3703 deg
  Zg     =  69.53410 +/- 0.3834 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  37.77358 +/- 0.1182 deg
  Bg     = -26.78642 +/- 0.3921 deg
  Vh     =  43.73348 +/- 0.3890 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  28.25108 +/- 0.4516 deg
  Bh     = -43.85829 +/- 0.7771 deg
  Vh_x   = -27.77797 +/- 0.5007 km/s
  Vh_y   = -14.92631 +/- 0.5260 km/s
  Vh_z   =  30.30192 +/- 0.1470 km/s
Orbit:
  La Sun = 137.440185 +/- 0.0000 deg
  a      =  -5.463535 +/- 4.7650 AU
  e      =   1.175899 +/- 0.0364
  i      = 134.503552 +/- 0.8543 deg
  peri   =  25.339740 +/- 0.6361 deg
  node   = 317.445058 +/- 0.0001 deg
  Pi     = 342.784797 +/- 0.6360 deg
  q      =   0.961028 +/- 0.0018 AU
  f      = 334.664750 +/- 0.6362 deg
  M      =        nan +/- nan deg
  Q      = -11.888098 +/- 9.5284 AU
  n      =   0.077178 +/- 0.0188 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -1.841188 +/- 0.2179
Shower association:
  IAU No.  =  191
  IAU code =  ERI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 17.211027
 a2 = 10.507784

Mean time residuals from time vs. length:
  Station with reference time: UK0038
  Avg. res. = 2.076e-06 s
  Stddev    = 1.44e-03 s

Begin point on the trajectory:
  Lon =    -0.713781 +/- 0.0019 deg
  Lat =    50.622334 +/- 0.0010 deg
  Ht  = 110572.66 +/- 167.18 m
End point on the trajectory:
  Lon =    -0.901529 +/- 0.0011 deg
  Lat =    50.768270 +/- 0.0006 deg
  Ht  = 102527.75 +/- 103.70 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,   6.582347,  13.742620,   110445.09,   103167.76,          0.008469,     17.26,      8.49,              40.63, 0.4240,    True,    True, {"ff_name": "FF_UK0001_20210810_031639_851_0629760.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,  34.931307,   7.866966,   110078.97,   102739.69,          0.015593,     39.47,      6.59,              24.28, 0.1691,    True,    True, {"ff_name": "FF_UK002C_20210810_031637_521_0626176.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,  11.284741,  11.789353,   110572.66,   102527.75,          0.017544,     45.37,     27.45,              21.57, 0.1352,    True,    True, {"ff_name": "FF_UK0038_20210810_031642_109_0622592.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,     UK0001,       0,  0.049502, 2459436.636592968367,  46.73749,  30.38869,              108.66424,  53.73670,       108.65861,       53.73301,     46.73749,     +30.38869,      46.74345,      +30.38834,  4091200.73,   522973.56,  4992570.06,      50.624638,       -0.716747,  110445.09,  136330.47,       0.00,             2847.73,   194.27,      0.00,           66550.69,      5.22,     10.62,          17.91,  +3.30,  +2.63
  1,     UK0001,       0,  0.089358, 2459436.636593429837,  46.81141,  31.09458,              107.74963,  54.19807,       107.76344,       54.20727,     46.81141,     +31.09458,      46.79752,      +31.09545,  4089420.96,   521253.60,  4993039.22,      50.640816,       -0.737488,  109549.81,  134438.88,    2519.12,             5366.85,    -2.78,  63205.42,           66550.69,    -12.68,    -25.78,          44.07,  +2.20,  +1.56
  2,     UK0001,       0,  0.129174, 2459436.636593890376,  46.87556,  31.90158,              106.70121,  54.73001,       106.71589,       54.73995,     46.87556,     +31.90158,      46.86074,      +31.90252,  4087448.16,   519347.08,  4993559.26,      50.658751,       -0.760485,  108558.42,  132367.58,    5311.47,             8159.20,    76.12,  70131.38,           66550.69,    -13.32,    -27.08,          47.03,  +1.72,  +1.11
  3,     UK0001,       0,  0.168990, 2459436.636594351381,  46.92766,  32.67450,              105.68175,  55.23713,       105.68779,       55.24129,     46.92766,     +32.67450,      46.92196,      +32.67489,  4085616.15,   517576.64,  4994042.18,      50.675406,       -0.781873,  107638.70,  130467.98,    7904.51,            10752.25,   -44.27,  65125.79,           66550.69,     -5.43,    -11.04,          19.45,  +1.53,  +0.95
  4,     UK0001,       0,  0.208798, 2459436.636594811920,  47.00542,  33.54098,              104.48936,  55.78411,       104.50226,       55.79318,     47.00542,     +33.54098,      46.99238,      +33.54183,  4083620.60,   515648.15,  4994568.22,      50.693549,       -0.805181,  106637.90,  128427.29,   10729.06,            13576.79,    67.37,  70954.14,           67407.85,    -11.49,    -23.37,          41.83,  +1.51,  +0.97
  5,     UK0001,       0,  0.248618, 2459436.636595272925,  47.05151,  34.28421,              103.46156,  56.25729,       103.46117,       56.25701,     47.05151,     +34.28421,      47.05297,      +34.28419,  4081961.12,   514044.43,  4995005.66,      50.708637,       -0.824610,  105806.44,  126752.34,   13077.92,            15925.65,  -297.49,  58986.89,           66449.95,      0.35,      0.70,           1.27,  +1.01,  +0.50
  6,     UK0001,       0,  0.288426, 2459436.636595733929,  47.12163,  35.10241,              102.28249,  56.75675,       102.28378,       56.75769,     47.12163,     +35.10241,      47.12140,      +35.10250,  4080180.58,   512323.72,  4995475.02,      50.724827,       -0.845463,  104915.14,  124980.08,   15598.13,            18445.87,  -490.17,  63309.35,           65771.42,     -1.14,     -2.31,           4.25,  +1.04,  +0.56
  7,     UK0001,       0,  0.328218, 2459436.636596194468,  47.18220,  35.96792,              101.01558,  57.28206,       101.00523,       57.27430,     47.18220,     +35.96792,      47.19536,      +35.96721,  4078351.77,   510556.37,  4995957.10,      50.741456,       -0.866898,  104000.56,  123187.38,   18186.65,            21034.38,  -613.46,  65051.24,           65428.70,      9.07,     18.47,          34.45,  +1.10,  +0.65
  8,     UK0001,       0,  0.368030, 2459436.636596655007,  47.25599,  36.77801,               99.78192,  57.75201,        99.77493,       57.74663,     47.25599,     +36.77801,      47.26568,      +36.77751,  4076684.97,   508945.57,  4996396.48,      50.756613,       -0.886468,  103167.76,  121578.16,   20545.89,            23393.62,  -967.40,  59259.34,           64857.49,      6.12,     12.47,          23.57,  +1.55,  +1.13
  9,     UK0001,       1,  0.407870, 2459436.636597116012,  47.30935,  37.44002,               98.75746,  58.13204,        98.74733,       58.12407,     47.30935,     +37.44002,      47.32311,      +37.43930,  4075356.26,   507661.51,  4996746.73,      50.768695,       -0.902114,  102504.38,  120312.01,   22426.56,            25274.29, -1801.80,  47205.62,           63603.14,      8.88,     18.10,          34.56,  +6.05,  +5.65
  0,     UK002C,       0,  0.061261, 2459436.636593113653,  36.73461,  12.75748,              136.27918,  44.19521,       136.26402,       44.19352,     36.73461,     +12.75748,      36.74562,      +12.76078,  4090473.11,   522270.39,  4992761.87,      50.631252,       -0.725208,  110078.97,  156335.70,       0.00,             3877.62,   422.78,      0.00,           64779.39,      4.97,     29.59,          39.58,  +3.83,  +2.86
  1,     UK002C,       0,  0.101013, 2459436.636593573727,  36.62688,  13.06552,              136.21996,  44.51788,       136.19856,       44.51550,     36.62688,     +13.06552,      36.64242,      +13.07015,  4088991.09,   520838.16,  4993152.53,      50.644724,       -0.742513,  109333.69,  154424.82,    2097.69,             5975.31,  -188.61,  52769.45,           64779.39,      6.88,     41.04,          55.58,  +3.76,  +2.82
  2,     UK002C,       0,  0.140629, 2459436.636594031937,  36.48217,  13.56380,              136.08557,  45.02681,       136.09017,       45.02733,     36.48217,     +13.56380,      36.47953,      +13.56281,  4086702.61,   518626.59,  4993755.79,      50.665529,       -0.769170,  108184.03,  151487.33,    5336.84,             9214.46,   350.73,  81763.76,           64779.39,     -1.44,     -8.58,          11.84,  +3.29,  +2.39
  3,     UK002C,       0,  0.180365, 2459436.636594492011,  36.37157,  13.90334,              136.00699,  45.37861,       136.01617,       45.37964,     36.37157,     +13.90334,      36.36591,      +13.90137,  4085180.20,   517155.34,  4994157.10,      50.679369,       -0.786977,  107419.97,  149538.32,    7491.69,            11369.30,  -202.42,  54228.96,           64779.39,     -2.83,    -16.80,          23.50,  +1.80,  +0.93
  4,     UK002C,       0,  0.219981, 2459436.636594950687,  36.17219,  14.35818,              135.96319,  45.87190,       135.91059,       45.86610,     36.17219,     +14.35818,      36.20959,      +14.36942,  4083137.61,   515181.38,  4994695.53,      50.697940,       -0.810835,  106395.83,  146934.64,   10382.81,            14260.42,   -11.11,  72978.66,           65925.54,     15.64,     93.81,         133.50,  +1.47,  +0.63
  5,     UK002C,       0,  0.259717, 2459436.636595410295,  36.08652,  14.71509,              135.83906,  46.22804,       135.83252,       46.22731,     36.08652,     +14.71509,      36.09213,      +14.71648,  4081668.70,   513761.83,  4995082.75,      50.711296,       -0.828055,  105659.99,  145067.54,   12461.93,            16339.55,  -639.98,  52323.46,           64307.36,      1.92,     11.46,          16.52,  +0.80,  -0.01
  6,     UK002C,       0,  0.299357, 2459436.636595869437,  35.92955,  15.17448,              135.73497,  46.70648,       135.72593,       46.70547,     35.92955,     +15.17448,      35.93700,      +15.17639,  4079777.51,   511934.19,  4995581.27,      50.728492,       -0.850198,  104713.49,  142674.22,   15138.76,            19016.37,  -664.61,  67528.33,           64074.38,      2.58,     15.42,          22.61,  +0.93,  +0.16
  7,     UK002C,       0,  0.338965, 2459436.636596327648,  35.75592,  15.66960,              135.62527,  47.22373,       135.60838,       47.22186,     35.75592,     +15.66960,      35.76884,      +15.67314,  4077802.98,   510026.02,  4996101.76,      50.746446,       -0.873333,  103726.29,  140186.92,   17933.54,            21811.15,  -569.09,  70561.04,           64516.76,      4.69,     28.06,          41.86,  +0.98,  +0.25
  8,     UK002C,       0,  0.378565, 2459436.636596785858,  35.57791,  16.18351,              135.50508,  47.75928,       135.48408,       47.75696,     35.57791,     +16.18351,      35.59368,      +16.18788,  4075827.57,   508116.98,  4996622.49,      50.764409,       -0.896502,  102739.69,  137710.57,   20729.58,            24607.19,  -471.78,  70607.01,           65128.46,      5.66,     33.91,          51.50,  +2.75,  +2.06
  0,     UK0038,       1,  0.000000, 2459436.636592406314,  47.69586,  10.39659,              124.77162,  36.64339,       124.69319,       36.58794,     47.69586,     +10.39659,      47.77987,      +10.38213,  4093176.71,   524883.14,  4992049.19,      50.606676,       -0.693723,  111440.04,  183858.69,       0.00,               50.89,   770.96,      0.00,           61968.30,    138.73,    230.70,         302.01,  +5.57,  +4.25
  1,     UK0038,       0,  0.039800, 2459436.636592866853,  47.81312,  10.66191,              124.47599,  36.80934,       124.46272,       36.79988,     47.81312,     +10.66191,      47.82754,      +10.65941,  4091454.21,   523218.52,  4992503.25,      50.622334,       -0.713781,  110572.66,  181583.94,    2438.06,             2488.96,   496.67,  61257.88,           61968.30,     23.33,     38.59,          51.23,  +4.39,  +3.09
  2,     UK0038,       0,  0.079600, 2459436.636593327392,  47.90806,  10.92236,              124.20579,  36.98209,       124.23799,       37.00522,     47.90806,     +10.92236,      47.87373,      +10.92851,  4089822.87,   521642.00,  4992933.27,      50.637163,       -0.732803,  109751.91,  179433.29,    4747.09,             4797.98,    93.34,  58015.73,           61968.30,    -56.19,    -92.60,         124.52,  +3.36,  +2.09
  3,     UK0038,       0,  0.119320, 2459436.636593787465,  47.91880,  11.25314,              123.97596,  37.25767,       123.96625,       37.25071,     47.91880,     +11.25314,      47.92975,      +11.25131,  4087915.64,   519798.86,  4993436.03,      50.654501,       -0.755035,  108793.25,  176925.52,    7446.62,             7497.51,    85.97,  67964.00,           61968.30,     16.63,     27.51,          37.48,  +3.03,  +1.79
  4,     UK0038,       0,  0.159068, 2459436.636594247539,  47.98272,  11.56594,              123.70080,  37.48995,       123.69996,       37.48935,     47.98272,     +11.56594,      47.98429,      +11.56579,  4086108.24,   518052.19,  4993912.46,      50.670932,       -0.776133,  107885.65,  174554.09,   10004.85,            10055.74,   -64.61,  64361.16,           62913.59,      1.41,      2.33,           3.22,  +2.07,  +0.86
  5,     UK0038,       0,  0.198780, 2459436.636594707146,  48.02881,  11.92117,              123.41416,  37.76687,       123.39909,       37.75603,     48.02881,     +11.92117,      48.04585,      +11.91834,  4084138.33,   516148.47,  4994431.74,      50.688842,       -0.799137,  106897.45,  171976.45,   12793.10,            12843.99,    17.28,  70211.82,           64224.96,     25.00,     41.38,          57.99,  +2.32,  +1.14
  6,     UK0038,       0,  0.238520, 2459436.636595166754,  48.09005,  12.24188,              123.13306,  38.00608,       123.12306,       37.99886,     48.09005,     +12.24188,      48.10182,      +12.24000,  4082391.36,   514460.21,  4994892.25,      50.704725,       -0.819576,  106021.94,  169695.43,   15265.78,            15316.68,  -218.30,  62221.54,           64479.13,     16.37,     27.09,          38.48,  +2.14,  +0.99
  7,     UK0038,       0,  0.278252, 2459436.636595626827,  48.13100,  12.56891,              122.86721,  38.26069,       122.84289,       38.24312,     48.13100,     +12.56891,      48.15834,      +12.56436,  4080675.94,   512802.43,  4995344.44,      50.720322,       -0.839667,  105163.02,  167460.94,   17693.82,            17744.72,  -497.98,  61110.46,           64304.51,     39.18,     64.93,          93.41,  +1.76,  +0.64
  8,     UK0038,       0,  0.317968, 2459436.636596086435,  48.20651,  12.92280,              122.54484,  38.51917,       122.53282,       38.51045,     48.20651,     +12.92280,      48.22078,      +12.92054,  4078843.20,   511031.28,  4995827.56,      50.736987,       -0.861142,  104246.24,  165080.43,   20287.91,            20338.81,  -610.52,  65316.01,           64290.37,     19.09,     31.62,          46.16,  +1.89,  +0.80
  9,     UK0038,       0,  0.357676, 2459436.636596546043,  48.26942,  13.28350,              122.22881,  38.78927,       122.21654,       38.78034,     48.26942,     +13.28350,      48.28415,      +13.28119,  4077039.68,   509288.36,  4996302.97,      50.753387,       -0.882298,  103344.93,  162744.33,   22840.66,            22891.55,  -763.86,  64287.84,           64283.03,     19.21,     31.82,          47.11,  +2.00,  +0.94
 10,     UK0038,       0,  0.397404, 2459436.636597006116,  48.32760,  13.62001,              121.93252,  39.04085,       121.91968,       39.03148,     48.32760,     +13.62001,      48.34312,      +13.61759,  4075403.01,   507706.70,  4996734.40,      50.768270,       -0.901529,  102527.75,  160629.54,   25157.22,            25208.12, -1154.74,  58310.68,           64007.67,     19.83,     32.86,          49.29,  +3.67,  +2.64

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.