Orbital Analysis for matched events on 20210813_015927.004_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.18° Bg 40.66° Vg 59.79km/s
mass 0.71734g, abs. mag -4.6
Path Details
------------
start -1.13° 54.24° 112.68km
end   -1.34° 54.15° 84.01km

Orbit Details
-------------
Semimajor axis -9.55A.U., eccentricity 1.10, inclination 110.59°, Period 1000000000.00Y, LA Sun 140.27°, 

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: 2459439.582951444667
Time: 2021-08-13 01:59:27.045012 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0026 and UK002Z
 Convergence angle = 15.95143 deg
 R.A. =  46.85895  Dec = +63.20008 deg

Best intersection: Stations UK0026 and UK002Z with Qconv = 15.95 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3749767.89 +/- 79.52 m
 Y =   -629073.67 +/- 90.13 m
 Z =   5245546.06 +/- 276.90 m
 Vx =    20040.42 +/- 508.76 m/s
 Vy =    22212.55 +/- 594.31 m/s
 Vz =    52947.09 +/- 603.17 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):
    UK0026: 0.000000 s
    UK002Z: -0.000090 s

Reference point on the trajectory:
  Time: 2021-08-13 01:59:27.045012 UTC
  Lon     = +-1.117960 +/- 0.0015 deg
  Lat     = +54.243443 +/- 0.0018 deg
  Lat geo = +54.063984 +/- 0.0018 deg
  Ht      =  114456.50 +/- 197.10 m

  JD dynamic   = 2459439.583752650768 
  LST apparent = 350.4765509708 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  47.94285 +/- 0.1793 deg
  Dec       = +60.53215 +/- 0.6671 deg
  Azimuth   =  54.66290 +/- 1.2817 deg
  Elevation = +59.44234 +/- 0.1807 deg
  Vavg      =  59.56498 +/- 0.4672 km/s
  Vinit     =  60.81455 +/- 0.3086 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.22620 +/- 0.1793 deg
  Dec       = +60.34047 +/- 0.6671 deg
  Azimuth   =  54.95791 +/- 1.2817 deg
  Elevation = +59.25885 +/- 0.1807 deg
  Vavg      =  59.68049 +/- 0.4672 km/s
  Vinit     =  60.93007 +/- 0.3086 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.03076 +/- 0.1790 deg
  Dec    = +60.38663 +/- 0.6729 deg
  Vg     =  59.79433 +/- 0.3138 km/s
  Vinf   =  60.81455 +/- 0.3086 km/s
  Zc     =  30.66177 +/- 0.1779 deg
  Zg     =  30.92751 +/- 0.1817 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.17744 +/- 0.3157 deg
  Bg     = +40.65604 +/- 0.6363 deg
  Vh     =  42.94159 +/- 0.6027 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  86.17163 +/- 0.9761 deg
  Bh     = +65.12382 +/- 0.5093 deg
  Vh_x   =  -1.20608 +/- 0.3087 km/s
  Vh_y   = -18.02344 +/- 0.1330 km/s
  Vh_z   = -38.95742 +/- 0.7058 km/s
Orbit:
  La Sun = 140.268150 +/- -0.0000 deg
  a      =  -9.553043 +/- 1.6575 AU
  e      =   1.099903 +/- 0.0576
  i      = 110.585347 +/- 0.6560 deg
  peri   = 152.761598 +/- 0.5445 deg
  node   = 140.268215 +/- 0.0000 deg
  Pi     = 293.029813 +/- 0.5445 deg
  q      =   0.954379 +/- 0.0013 AU
  f      =  27.234779 +/- 0.5445 deg
  M      =        nan +/- nan deg
  Q      = -20.060464 +/- 3.3142 AU
  n      =   0.033380 +/- 0.0420 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -0.981153 +/- 0.3044
Shower association:
  IAU No.  =    7
  IAU code =  PER

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 = 30.264793
 a2 = 4.997661

Mean time residuals from time vs. length:
  Station with reference time: UK0026
  Avg. res. = 4.319e-06 s
  Stddev    = 2.08e-03 s

Begin point on the trajectory:
  Lon =    -1.130849 +/- 0.0015 deg
  Lat =    54.238090 +/- 0.0016 deg
  Ht  = 112680.85 +/- 146.78 m
End point on the trajectory:
  Lon =    -1.342036 +/- 0.0019 deg
  Lat =    54.150965 +/- 0.0015 deg
  Ht  = 84005.01 +/- 123.41 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
    UK0026,   False,    -0.023645,    52.984073,    6.00,  16.095595,   6.118654,   112680.85,    84005.01,          0.015448,      9.84,     48.82,              53.31, 1.0000,    True,    True, {"ff_name": "FF_UK0026_20210813_015924_329_0521216.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   5.634827,   8.866174,   104372.95,    87540.69,          0.023972,      4.48,     55.86,              44.15, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_015919_872_0515072.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,     UK0026,       1,  0.000000, 2459439.582951444667, 228.68124,  63.91678,              333.21447,  34.98844,       333.14308,       35.03354,    228.68124,     +63.91678,     228.84916,      +63.91611,  3749812.95,  -629023.72,  5245665.12,      54.243798,       -1.116937,  114574.26,  196121.31,       0.00,              136.75,   809.88,      0.00,           56349.67,   -247.66,    -50.43,         265.82,  +3.50,  +2.04
  1,     UK0026,       0,  0.040192, 2459439.582951909862, 228.83003,  63.38061,              332.74881,  34.60684,       332.74374,       34.61003,    228.83003,     +63.38061,     228.84194,      +63.38056,  3749088.36,  -629826.84,  5243750.75,      54.238090,       -1.130849,  112680.85,  194890.14,    2198.83,             2062.08,   290.95,  54708.21,           56349.67,    -17.54,     -3.54,          18.93,  +2.31,  +0.86
  2,     UK0026,       0,  0.080440, 2459439.582952375524, 228.84023,  62.82272,              332.32953,  34.16918,       332.33216,       34.16753,    228.84023,     +62.82272,     228.83458,      +62.82275,  3748343.11,  -630652.87,  5241781.77,      54.232213,       -1.145158,  110733.61,  193641.71,    4460.38,             4323.63,   104.84,  56190.40,           56349.67,      9.05,      1.83,           9.84,  +0.76,  -0.67
  3,     UK0026,       0,  0.120728, 2459439.582952842116, 228.76230,  62.23720,              331.93333,  33.68332,       331.90461,       33.70131,    228.76230,     +62.23720,     228.82702,      +62.23693,  3747570.46,  -631509.27,  5239740.42,      54.226115,       -1.159991,  108715.00,  192366.86,    6805.06,             6668.31,    -0.58,  58198.00,           56349.67,    -98.43,    -19.93,         107.68,  +0.35,  -1.07
  4,     UK0026,       0,  0.160992, 2459439.582953307778, 228.80726,  61.62506,              331.46817,  33.20950,       331.46300,       33.21273,    228.80726,     +61.62506,     228.81929,      +61.62502,  3746773.98,  -632392.07,  5237636.12,      54.219824,       -1.175281,  106634.36,  191073.89,    9222.05,             9085.29,   -32.24,  60028.33,           57265.44,    -17.64,     -3.56,          19.43,  +0.03,  -1.38
  5,     UK0026,       0,  0.201284, 2459439.582953774370, 228.76381,  61.00949,              331.04545,  32.70595,       331.02358,       32.71956,    228.76381,     +61.00949,     228.81186,      +61.00929,  3745983.22,  -633268.54,  5235546.93,      54.213571,       -1.190469,  104568.87,  189812.08,   11621.67,            11484.92,   -82.95,  59555.92,           57854.50,    -74.30,    -15.03,          82.37,  -0.27,  -1.66
  6,     UK0026,       0,  0.241572, 2459439.582954240497, 228.81112,  60.33996,              330.54764,  32.18411,       330.55155,       32.18168,    228.81112,     +60.33996,     228.80382,      +60.34000,  3745135.09,  -634208.60,  5233306.13,      54.206858,       -1.206751,  102353.75,  188483.06,   14195.43,            14058.68,    40.71,  63883.91,           58711.27,     13.25,      2.67,          14.80,  -0.47,  -1.85
  7,     UK0026,       0,  0.281868, 2459439.582954707090, 228.80177,  59.70445,              330.10539,  31.67125,       330.10837,       31.66940,    228.80177,     +59.70445,     228.79673,      +59.70447,  3744340.76,  -635089.02,  5231207.51,      54.200565,       -1.222016,  100279.39,  187262.31,   16605.88,            16469.13,     0.58,  59818.74,           59160.48,     10.06,      2.03,          11.30,  -0.57,  -1.93
  8,     UK0026,       0,  0.322156, 2459439.582955173217, 228.77910,  59.08701,              329.68712,  31.16730,       329.68236,       31.17024,    228.77910,     +59.08701,     228.79023,      +59.08696,  3743578.78,  -635933.59,  5229194.36,      54.194523,       -1.236671,   98289.70,  186113.38,   18918.18,            18781.42,  -137.22,  57394.07,           59252.21,    -16.01,     -3.23,          18.10,  -0.81,  -2.16
  9,     UK0026,       0,  0.362448, 2459439.582955639809, 228.78918,  58.44122,              329.23820,  30.64893,       329.24172,       30.64676,    228.78918,     +58.44122,     228.78357,      +58.44125,  3742791.74,  -636805.93,  5227114.99,      54.188276,       -1.251808,   96234.79,  184949.48,   21306.52,            21169.77,  -199.22,  59275.92,           59300.19,     11.79,      2.38,          13.42,  -0.84,  -2.18
 10,     UK0026,       0,  0.402740, 2459439.582956105936, 228.77946,  57.81510,              328.81708,  30.13892,       328.81892,       30.13780,    228.77946,     +57.81510,     228.77750,      +57.81512,  3742037.95,  -637641.43,  5225123.44,      54.182288,       -1.266317,   94266.86,  183857.24,   23593.99,            23457.24,  -362.09,  56772.26,           59211.39,      6.11,      1.23,           6.99,  -0.90,  -2.22
 11,     UK0026,       0,  0.443044, 2459439.582956572529, 228.75921,  57.17597,              328.39710,  29.61357,       328.39179,       29.61682,    228.75921,     +57.17597,     228.77147,      +57.17592,  3741277.43,  -638484.37,  5223114.17,      54.176241,       -1.280958,   92281.60,  182777.74,   25901.83,            25765.08,  -505.32,  57260.83,           59085.09,    -17.66,     -3.56,          20.33,  -0.94,  -2.25
 12,     UK0026,       0,  0.483372, 2459439.582957039122, 228.74704,  56.47504,              327.93676,  29.03889,       327.92859,       29.04387,    228.74704,     +56.47504,     228.76481,      +56.47498,  3740453.30,  -639397.84,  5220936.78,      54.169682,       -1.296815,   90130.49,  181633.49,   28402.75,            28266.00,  -456.92,  62014.56,           59105.47,    -27.04,     -5.45,          31.33,  -1.91,  -3.21
 13,     UK0026,       0,  0.523704, 2459439.582957506180, 228.74759,  55.75734,              327.46411,  28.45291,       327.45968,       28.45560,    228.74759,     +55.75734,     228.75821,      +55.75731,  3739619.96,  -640321.50,  5218735.10,      54.163043,       -1.312854,   87955.61,  180504.41,   30931.59,            30794.84,  -380.86,  62700.49,           59221.14,    -14.65,     -2.95,          17.08,  -1.73,  -3.01
 14,     UK0026,       0,  0.564016, 2459439.582957972772, 228.82488,  55.01396,              326.93925,  27.86945,       326.97972,       27.84488,    228.82488,     +55.01396,     228.75154,      +55.01430,  3738767.85,  -641265.96,  5216483.81,      54.156247,       -1.329255,   85731.99,  179379.41,   33517.40,            33380.65,  -246.61,  64144.88,           59419.50,    133.24,     26.72,         156.26,  -1.68,  -2.95
 15,     UK0026,       0,  0.604320, 2459439.582958438899, 228.75100,  54.43024,              326.60245,  27.36596,       326.60586,       27.36390,    228.75100,     +54.43024,     228.74722,      +54.43027,  3738106.01,  -641999.54,  5214735.22,      54.150965,       -1.342036,   84005.01,  178527.86,   35525.81,            35389.06,  -689.26,  49831.63,           59340.59,     11.19,      2.25,          13.19,  -0.59,  -1.85
  0,     UK002Z,       0,  0.203396, 2459439.582953799516, 261.08595,  67.41956,              325.05062,  47.91030,       325.02485,       47.92575,    261.08595,     +67.41956,     261.14327,      +67.41139,  3745908.21,  -633351.68,  5235348.74,      54.212978,       -1.191903,  104372.95,  139659.46,       0.00,            11712.55,    16.22,      0.00,           58391.29,    -56.32,      4.49,          83.44,  -0.95,  -1.68
  1,     UK002Z,       0,  0.244036, 2459439.582954269834, 260.37643,  66.72348,              324.33338,  47.33825,       324.28603,       47.36640,    260.37643,     +66.72348,     260.47888,      +66.70886,  3745133.27,  -634210.61,  5233301.34,      54.206844,       -1.206796,  102349.01,  138157.01,    2351.62,            14064.18,  -103.66,  57864.78,           58391.29,   -102.59,      8.13,         153.64,  -1.17,  -1.87
  2,     UK002Z,       0,  0.284704, 2459439.582954740152, 259.80322,  65.96739,              323.53064,  46.76777,       323.52405,       46.77165,    259.80322,     +65.96739,     259.81821,      +65.96540,  3744333.89,  -635096.63,  5231189.38,      54.200511,       -1.222159,  100261.46,  136632.28,    4777.41,            16489.96,  -151.08,  59648.50,           58391.29,    -14.16,      1.13,          21.45,  -1.20,  -1.88
  3,     UK002Z,       0,  0.325368, 2459439.582955210935, 259.20932,  65.23305,              322.79097,  46.18469,       322.79289,       46.18357,    259.20932,     +65.23305,     259.20676,      +65.23361,  3743566.86,  -635946.81,  5229162.85,      54.194428,       -1.236912,   98258.56,  135194.34,    7105.06,            18817.61,  -296.39,  57241.00,           58391.29,      4.08,     -0.33,           6.25,  -1.07,  -1.72
  4,     UK002Z,       0,  0.366140, 2459439.582955683116, 258.54191,  64.37886,              321.95903,  45.49590,       321.96244,       45.49392,    258.54191,     +64.37886,     258.53662,      +64.37984,  3742694.32,  -636913.92,  5226857.59,      54.187503,       -1.253677,   95980.43,  133588.66,    9752.87,            21465.42,  -128.12,  64941.82,           59631.93,      7.22,     -0.58,          11.19,  -1.28,  -1.91
  5,     UK002Z,       0,  0.406836, 2459439.582956153899, 257.93827,  63.61951,              321.25446,  44.86346,       321.23765,       44.87313,    257.93827,     +63.61951,     257.97286,      +63.61483,  3741932.69,  -637758.09,  5224845.37,      54.181451,       -1.268337,   93992.10,  132215.25,   12064.08,            23776.63,  -291.81,  56792.13,           59579.95,    -35.30,      2.82,          55.24,  -1.48,  -2.09
  6,     UK002Z,       0,  0.447576, 2459439.582956625614, 257.44435,  62.78399,              320.45206,  44.21493,       320.47628,       44.20109,    257.44435,     +62.78399,     257.39987,      +62.79058,  3741131.28,  -638646.37,  5222728.01,      54.175078,       -1.283759,   91900.11,  130798.54,   14496.05,            26208.61,  -337.42,  59695.04,           59573.74,     50.51,     -4.08,          79.91,  -1.82,  -2.40
  7,     UK002Z,       0,  0.488284, 2459439.582957096864, 256.97192,  61.99312,              319.72164,  43.58530,       319.76908,       43.55837,    256.97192,     +61.99312,     256.88492,      +62.00574,  3740386.04,  -639472.38,  5220759.09,      54.169146,       -1.298117,   89954.95,  129508.72,   16757.54,            28470.09,  -551.57,  55553.85,           59236.06,     98.38,     -7.99,         157.21,  -3.20,  -3.76
  8,     UK002Z,       0,  0.529188, 2459439.582957569975, 256.28861,  61.00501,              318.88203,  42.74410,       318.89435,       42.73716,    256.28861,     +61.00501,     256.26824,      +61.00820,  3739460.96,  -640497.73,  5218315.02,      54.161775,       -1.315905,   87540.69,  127944.12,   19564.78,            31277.33,  -231.89,  68629.96,           59708.12,     25.37,     -2.05,          41.04,  -2.39,  -2.93
  9,     UK002Z,       1,  0.610452, 2459439.582958510611, 255.47856,  59.60715,              317.70224,  41.58207,       317.70837,       41.57866,    255.47856,     +59.60715,     255.47023,      +59.60868,  3738205.87,  -641888.86,  5214999.05,      54.151762,       -1.340158,   84265.50,  125894.21,   23373.48,            35086.03, -1365.23,  46868.22,           58467.67,     12.51,     -1.01,          20.57,  +4.26,  +3.76

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.