Orbital Analysis for matched events on 20210816_021557.106_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 45.96° Bg 34.45° Vg 53.40km/s
mass 0.00670g, abs. mag 0.8
Path Details
------------
start -2.65° 50.19° 112.91km
end   -2.72° 50.18° 99.64km

Orbit Details
-------------
Semimajor axis 1.47A.U., eccentricity 0.35, inclination 115.31°, Period 1.79Y, LA Sun 143.16°, last Perihelion 2019-12-04

Full details below
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Detailed report below graphs

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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: 2459442.594410954043
Time: 2021-08-16 02:15:57.106429 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000T and UK002D
 Convergence angle = 42.07245 deg
 R.A. =  29.34837  Dec = +49.05591 deg

Best intersection: Stations UK000T and UK002D with Qconv = 42.07 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4154165.86 +/- 88.75 m
 Y =   -287393.80 +/- 29.51 m
 Z =   4963041.79 +/- 31.33 m
 Vx =    31162.41 +/- 364.13 m/s
 Vy =    17339.07 +/- 217.15 m/s
 Vz =    41264.60 +/- 299.82 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.217699e+03, +1.681507e+03, +1.356094e+03, +2.493160e+04, +2.820630e+03, -7.065104e+03
+1.681507e+03, +9.418145e+02, +3.222315e+02, +3.498318e+03, +3.525695e+03, -2.791608e+03
+1.356094e+03, +3.222315e+02, +1.116203e+03, +2.161796e+03, -8.444806e+02, +3.137024e+02
+2.493160e+04, +3.498318e+03, +2.161796e+03, +1.313514e+05, -9.599521e+03, -2.631123e+04
+2.820630e+03, +3.525695e+03, -8.444806e+02, -9.599521e+03, +2.461254e+04, -1.194712e+04
-7.065104e+03, -2.791608e+03, +3.137024e+02, -2.631123e+04, -1.194712e+04, +1.354043e+04

Timing offsets (from input data):
    UK000T: 0.000000 s
    UK002D: 0.000005 s
    UK0038: 0.000000 s
    UK003J: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 02:15:57.106429 UTC
  Lon     = +-2.645521 +/- 0.0005 deg
  Lat     = +50.188738 +/- 0.0005 deg
  Lat geo = +50.002651 +/- 0.0005 deg
  Ht      =  112928.49 +/- 70.00 m

  JD dynamic   = 2459442.595211694948 
  LST apparent = 356.0424649916 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  29.09200 +/- 0.3921 deg
  Dec       = +49.16596 +/- 0.3133 deg
  Azimuth   =  79.91574 +/- 0.9403 deg
  Elevation = +68.76509 +/- 0.2118 deg
  Vavg      =  57.42619 +/- 0.1914 km/s
  Vinit     =  54.53904 +/- 0.1414 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  29.49903 +/- 0.3921 deg
  Dec       = +49.03388 +/- 0.3133 deg
  Azimuth   =  80.06766 +/- 0.9403 deg
  Elevation = +68.47286 +/- 0.2118 deg
  Vavg      =  57.53521 +/- 0.1914 km/s
  Vinit     =  54.64806 +/- 0.1414 km/s
Radiant (geocentric, J2000):
  R.A.   =  29.08259 +/- 0.3975 deg
  Dec    = +49.00201 +/- 0.3158 deg
  Vg     =  53.39904 +/- 0.1444 km/s
  Vinf   =  54.53904 +/- 0.1414 km/s
  Zc     =  21.26825 +/- 0.2131 deg
  Zg     =  21.49549 +/- 0.2163 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  45.95530 +/- 0.4007 deg
  Bg     = +34.44591 +/- 0.2410 deg
  Vh     =  33.91928 +/- 0.1270 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  30.86322 +/- 0.9641 deg
  Bh     = +62.93221 +/- 0.4930 deg
  Vh_x   = -13.24913 +/- 0.3593 km/s
  Vh_y   =  -7.91789 +/- 0.1142 km/s
  Vh_z   = -30.20406 +/- 0.1480 km/s
Orbit:
  La Sun = 143.160941 +/- 0.0000 deg
  a      =   1.474701 +/- 0.0209 AU
  e      =   0.353649 +/- 0.0116
  i      = 115.305049 +/- 0.3803 deg
  peri   = 219.175890 +/- 1.4960 deg
  node   = 143.160869 +/- 0.0000 deg
  Pi     =   2.336760 +/- 1.4959 deg
  q      =   0.953174 +/- 0.0049 AU
  f      = 320.820543 +/- 1.4960 deg
  M      = 341.765875 +/- 0.6060 deg
  Q      =   1.996228 +/- 0.0448 AU
  n      =   0.550362 +/- 0.0118 deg/day
  T      =   1.790840 +/- 0.0380 years
  Last perihelion JD = 2458821.610819 (2019-12-04 02:39:34.738491) +/- 13.5861 days
  Tj     =   3.103372 +/- 0.0520
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.381386e-04, -4.366750e-05, -1.547034e-01, -1.204955e-09, +1.846453e-04, +1.775234e-05
q   , -4.366750e-05, +2.448182e-05, +3.461484e-02, +1.837403e-09, -1.272582e-04, -2.697178e-05
Tp  , -1.547034e-01, +3.461484e-02, +1.924340e+02, -6.059609e-07, -1.143575e-01, +8.797119e-03
node, -1.204955e-09, +1.837403e-09, -6.059609e-07, +2.126353e-13, -1.103639e-08, -3.119566e-09
peri, +1.846453e-04, -1.272582e-04, -1.143575e-01, -1.103639e-08, +6.927354e-04, +1.619765e-04
i   , +1.775234e-05, -2.697178e-05, +8.797119e-03, -3.119566e-09, +1.619765e-04, +4.576771e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK000T
  Avg. res. = 2.219e-06 s
  Stddev    = 1.49e-03 s

Begin point on the trajectory:
  Lon =    -2.645625 +/- 0.0004 deg
  Lat =    50.188727 +/- 0.0005 deg
  Ht  = 112908.81 +/- 51.36 m
End point on the trajectory:
  Lon =    -2.716609 +/- 0.0003 deg
  Lat =    50.180712 +/- 0.0004 deg
  Ht  = 99638.22 +/- 31.69 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
    UK000T,   False,    -3.557111,    51.483925,   37.50,  47.837653,   0.000001,   112908.81,   100066.12,          0.011666,     36.29,     13.92,              52.30, 1.0000,    True,    True, {"ff_name": "FF_UK000T_20210816_021552_226_0542464.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   110686.41,    99638.22,          0.011136,     32.81,     11.98,              65.51, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210816_021549_557_0553984.fits"}
    UK0038,    True,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   108795.29,   100774.12,          0.299624,       nan,       nan,              58.92, 0.0000,    True,    True, {"ff_name": "FF_UK0038_20210816_021557_439_0551936.fits"}
    UK003J,    True,    -2.379250,    51.361350,  169.00, 9034.639609,   1.171361,   131208.31,   119860.55,          6.095054,       nan,       nan,              58.92, 0.0000,    True,    True, {"ff_name": "FF_UK003J_20210816_021557_939_0551936.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,     UK000T,       0,  0.000000, 2459442.594410954043,  14.98784,  -1.26164,              155.62364,  34.63448,       155.62731,       34.63599,     14.98784,      -1.26164,      14.98454,       -1.26096,  4154153.80,  -287400.51,  4963025.82,      50.188727,       -2.645625,  112908.81,  195093.05,       0.00,               21.11,  -538.34,      0.00,           58504.52,     -4.12,    -10.72,          12.14,  +3.88,  +2.43
  1,     UK000T,       0,  0.040952, 2459442.594411428086,  14.82220,  -1.92315,              156.02193,  34.03711,       155.99888,       34.02763,     14.82220,      -1.92315,      14.84326,       -1.92748,  4152486.09,  -288328.45,  4960817.47,      50.187090,       -2.660123,  110188.28,  193300.80,    2918.76,             2939.86,   146.93,  71272.60,           58504.52,     25.76,     67.17,          76.77,  +2.74,  +1.31
  2,     UK000T,       0,  0.081696, 2459442.594411899801,  14.73793,  -2.44461,              156.27810,  33.55370,       156.28386,       33.55606,     14.73793,      -2.44461,      14.73303,       -2.44353,  4151215.67,  -289035.32,  4959135.21,      50.185841,       -2.671214,  108115.95,  191953.20,    5142.19,             5163.30,   148.23,  54570.84,           58504.52,     -6.42,    -16.72,          19.25,  +0.49,  -0.93
  3,     UK000T,       0,  0.122392, 2459442.594412370585,  14.62088,  -2.92915,              156.55826,  33.11363,       156.55030,       33.11037,     14.62088,      -2.92915,      14.62867,       -2.93065,  4150032.47,  -289693.66,  4957568.44,      50.184676,       -2.681561,  106185.96,  190712.70,    7212.97,             7234.07,    -0.51,  50884.08,           58504.52,      8.85,     23.06,          26.71,  -0.07,  -1.47
  4,     UK000T,       0,  0.163140, 2459442.594412842300,  14.52022,  -3.45239,              156.82797,  32.63137,       156.83207,       32.63304,     14.52022,      -3.45239,      14.51714,       -3.45162,  4148783.76,  -290388.45,  4955914.93,      50.183445,       -2.692478,  104149.21,  189419.57,    9398.40,             9419.50,   -37.44,  53632.73,           56638.84,     -4.55,    -11.84,          13.81,  +0.46,  -0.93
  5,     UK000T,       0,  0.203908, 2459442.594413314015,  14.38276,  -3.98882,              157.14050,  32.14462,       157.12134,       32.13678,     14.38276,      -3.98882,      14.40129,       -3.99249,  4147504.97,  -291099.99,  4954221.58,      50.182183,       -2.703660,  102063.47,  188112.57,   11636.48,            11657.59,   -22.81,  54898.07,           55856.39,     21.17,     55.23,          64.86,  +1.38,  +0.01
  6,     UK000T,       0,  0.244660, 2459442.594413785730,  14.27970,  -4.51587,              157.40775,  31.65793,       157.39930,       31.65448,     14.27970,      -4.51587,      14.28855,       -4.51749,  4146280.33,  -291781.39,  4952599.94,      50.180972,       -2.714382,  100066.12,  186877.40,   13779.79,            13800.90,  -102.07,  52594.03,           55227.42,      9.31,     24.27,          28.70,  +4.25,  +2.89
  0,     UK002D,       0,  0.033859, 2459442.594411345664, 336.87141,   0.94739,              205.31696,  36.84479,       205.30949,       36.84273,    336.87141,      +0.94739,     336.87676,       +0.94380,  4152791.46,  -288158.54,  4961221.83,      50.187390,       -2.657469,  110686.41,  181664.68,       0.00,             2405.42,    -0.65,      0.00,           54035.60,     -6.87,     18.83,          22.76,  +4.01,  +2.71
  1,     UK002D,       0,  0.074351, 2459442.594411814585, 336.46637,   0.38575,              205.61473,  36.19502,       205.59347,       36.18914,    336.46637,      +0.38575,     336.48162,       +0.37545,  4151425.89,  -288918.35,  4959413.58,      50.186048,       -2.669376,  108458.86,  180694.76,    2389.95,             4795.37,   180.91,  59022.73,           54035.60,    -19.63,     53.74,          65.30,  +1.26,  -0.02
  2,     UK002D,       0,  0.114767, 2459442.594412282109, 336.16737,  -0.08800,              205.81162,  35.65797,       205.82032,       35.66038,    336.16737,      -0.08800,     336.16171,       -0.08377,  4150333.03,  -289526.43,  4957966.43,      50.184972,       -2.678943,  106676.21,  179938.52,    4302.63,             6708.05,  -110.66,  47324.94,           54035.60,      8.03,    -22.03,          26.88,  +0.37,  -0.91
  3,     UK002D,       0,  0.155271, 2459442.594412751030, 335.77637,  -0.66034,              206.08094,  35.00058,       206.09632,       35.00482,    335.77637,      -0.66034,     335.76607,       -0.65280,  4148991.30,  -290272.98,  4956189.75,      50.183650,       -2.690658,  104487.72,  179032.82,    6650.86,             9056.28,    28.52,  57975.10,           54035.60,     14.24,    -39.03,          47.87,  +0.92,  -0.34
  4,     UK002D,       0,  0.195739, 2459442.594413219485, 335.37825,  -1.19359,              206.36726,  34.37817,       206.35714,       34.37538,    335.37825,      -1.19359,     335.38632,       -1.19859,  4147716.76,  -290982.15,  4954502.03,      50.182392,       -2.701802,  102408.90,  178197.17,    8881.50,            11286.92,    52.08,  55121.25,           54423.51,     -9.39,     25.71,          31.69,  +1.78,  +0.53
  5,     UK002D,       0,  0.236399, 2459442.594413690269, 334.88124,  -1.93843,              206.69182,  33.52427,       206.70101,       33.52681,    334.88124,      -1.93843,     334.87558,       -1.93385,  4146017.94,  -291927.39,  4952252.49,      50.180712,       -2.716609,   99638.22,  177119.62,   11854.70,            14260.12,   807.72,  73123.42,           57219.05,      8.55,    -23.42,          29.04,  +3.88,  +2.64
  0,     UK0038,       1,  0.068609, 2459442.594411747996, 349.55033,   0.12823,              188.64233,  38.44875,       188.95481,       38.55444,    349.55033,      +0.12823,     349.31728,       +0.25680,  4151632.14,  -288803.59,  4959686.69,      50.186251,       -2.667578,  108795.29,  172048.11,       0.00,             4434.41,   133.09,      0.00,           53513.52,    107.90,   -792.66,         959.07,  +1.06,  -0.12
  1,     UK0038,       1,  0.109001, 2459442.594412215520, 349.26064,  -0.42359,              188.94209,  37.87180,       189.27337,       37.98368,    349.26064,      -0.42359,     349.01212,       -0.28643,  4150404.34,  -289486.75,  4958060.87,      50.185042,       -2.678306,  106792.54,  170972.48,    2148.83,             6583.24,    78.99,  53199.44,           53513.52,    114.19,   -840.49,        1023.30,  +0.27,  -0.89
  2,     UK0038,       1,  0.149413, 2459442.594412683509, 348.97308,  -0.98970,              189.23268,  37.28009,       189.59273,       37.40148,    348.97308,      -0.98970,     348.70130,       -0.83970,  4149169.35,  -290173.91,  4956425.52,      50.183825,       -2.689102,  104778.13,  169911.18,    4310.26,             8744.66,    36.38,  53484.74,           53513.52,    123.75,   -913.74,        1119.37,  +0.59,  -0.56
  3,     UK0038,       1,  0.189813, 2459442.594413151033, 348.65913,  -1.55543,              189.55137,  36.68531,       189.91318,       36.80713,    348.65913,      -1.55543,     348.38440,       -1.40369,  4147925.93,  -290865.76,  4954779.01,      50.182598,       -2.699976,  102750.05,  168863.93,    6486.44,            10920.85,     9.18,  53865.91,           53513.52,    124.41,   -918.41,        1132.07,  +1.54,  +0.40
  4,     UK0038,       1,  0.230213, 2459442.594413618557, 348.34988,  -2.11366,              189.86016,  36.09763,       190.22449,       36.22013,    348.34988,      -2.11366,     348.07161,       -1.95984,  4146714.43,  -291539.85,  4953174.77,      50.181401,       -2.710581,  100774.12,  167864.56,    8606.74,            13041.15,   -73.89,  52482.78,           53341.66,    125.34,   -925.10,        1147.11,  +4.26,  +3.14
  0,     UK003J,       1,  1.928150, 2459442.594433270395, 357.89329,   3.27429,              177.87456,  41.89458,       185.62607,       44.38849,    357.89329,      +3.27429,     352.27826,       +5.87363,  4165379.63,  -281154.35,  4977890.83,      50.199663,       -2.557529,  131208.31,  185410.75,       0.00,            19625.84, -86093.07,      0.00,           59400.38,    241.02, -19953.68,       22241.16,  +4.65,  +3.31
  1,     UK003J,       1,  1.968706, 2459442.594433739781, 357.53409,   2.76335,              178.36846,  41.39111,       185.99450,       43.84446,    357.53409,      +2.76335,     351.97847,       +5.34750,  4163999.01,  -281922.54,  4976062.65,      50.198326,       -2.569497,  128954.40,  183976.09,    2416.30,            17209.54, -90721.25,  59579.31,           59400.38,    281.77, -19618.38,       22037.76,  +3.11,  +1.79
  2,     UK003J,       1,  2.009258, 2459442.594434209168, 357.21942,   2.23402,              178.79664,  40.86670,       186.35740,       43.29763,    357.21942,      +2.23402,     351.67825,       +4.81965,  4162635.39,  -282681.27,  4974256.96,      50.197003,       -2.581327,  126728.33,  182579.53,    4802.85,            14822.98, -95319.47,  58851.76,           59400.38,    303.42, -19439.94,       22004.58,  +2.20,  +0.89
  3,     UK003J,       1,  2.049830, 2459442.594434679020, 356.88166,   1.69098,              179.24881,  40.32729,       186.72606,       42.73051,    356.88166,      +1.69098,     351.36810,       +4.27321,  4161245.57,  -283454.58,  4972416.59,      50.195652,       -2.593389,  124459.62,  181177.53,    7235.25,            12390.59, -99964.63,  59952.60,           59400.38,    329.61, -19216.21,       21919.82,  +2.25,  +0.96
  4,     UK003J,       1,  2.090426, 2459442.594435148872, 356.51661,   1.13394,              179.72959,  39.77228,       187.10113,       42.14128,    356.51661,      +1.13394,     351.04706,       +3.70651,  4159826.74,  -284244.03,  4970537.81,      50.194271,       -2.605707,  122143.67,  179769.05,    9718.42,             9907.42, -104661.86,  61167.81,           59791.14,    361.01, -18936.94,       21770.65,  +2.72,  +1.45
  5,     UK003J,       1,  2.131018, 2459442.594435618725, 356.16588,   0.57079,              180.18436,  39.20930,       187.46979,       41.55015,    356.16588,      +0.57079,     350.72601,       +3.13903,  4158427.97,  -285022.32,  4968685.59,      50.192908,       -2.617861,  119860.55,  178403.57,   12166.49,             7459.35, -109323.78,  60309.10,           59976.76,    385.96, -18709.91,       21674.53,  +3.48,  +2.22

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.