Orbital Analysis for matched events on 20210813_235820.257_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.48° Bg 39.13° Vg 61.28km/s
mass 0.03767g, abs. mag -0.9
Path Details
------------
start -2.35° 49.56° 113.31km
end   -2.55° 49.44° 94.69km

Orbit Details
-------------
Semimajor axis -7.83A.U., eccentricity 1.12, inclination 114.18°, Period 1000000000.00Y, LA Sun 141.15°, 

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: 2459440.498845570721
Time: 2021-08-13 23:58:20.257310 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK002D
 Convergence angle = 6.83276 deg
 R.A. =  50.21620  Dec = +57.95293 deg

Best intersection: Stations UK000H and UK002D with Qconv = 6.83 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3225392.56 +/- 274.96 m
 Y =  -2719068.10 +/- 317.23 m
 Z =   4917676.31 +/- 37.71 m
 Vx =    22992.44 +/- 1013.26 m/s
 Vy =    23020.17 +/- 1050.44 m/s
 Vz =    53102.87 +/- 213.17 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):
    UK000H: 0.000000 s
    UK002D: 0.000515 s
    UK003E: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:58:20.257310 UTC
  Lon     = +-2.350495 +/- 0.0009 deg
  Lat     = +49.562389 +/- 0.0029 deg
  Lat geo = +49.375627 +/- 0.0029 deg
  Ht      =  113358.25 +/- 258.52 m

  JD dynamic   = 2459440.499646311626 
  LST apparent = 319.8684656814 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  45.03452 +/- 2.4123 deg
  Dec       = +58.50443 +/- 0.1754 deg
  Azimuth   =  45.05600 +/- 0.7056 deg
  Elevation = +42.65179 +/- 1.1615 deg
  Vavg      =  59.53347 +/- 0.3376 km/s
  Vinit     =  62.27757 +/- 0.1321 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  45.07975 +/- 2.4123 deg
  Dec       = +58.26457 +/- 0.1754 deg
  Azimuth   =  45.32654 +/- 0.7056 deg
  Elevation = +42.51610 +/- 1.1615 deg
  Vavg      =  59.69416 +/- 0.3376 km/s
  Vinit     =  62.43826 +/- 0.1321 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.29930 +/- 2.4087 deg
  Dec    = +58.22555 +/- 0.1858 deg
  Vg     =  61.28180 +/- 0.1342 km/s
  Vinf   =  62.27757 +/- 0.1321 km/s
  Zc     =  47.48028 +/- 1.1631 deg
  Zg     =  47.88644 +/- 1.1728 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.47744 +/- 1.4677 deg
  Bg     = +39.13232 +/- 0.5774 deg
  Vh     =  43.18131 +/- 0.0815 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  76.44211 +/- 2.8588 deg
  Bh     = +63.59410 +/- 1.2347 deg
  Vh_x   =  -4.50193 +/- 0.9167 km/s
  Vh_y   = -18.66877 +/- 0.9620 km/s
  Vh_z   = -38.67603 +/- 0.4158 km/s
Orbit:
  La Sun = 141.147706 +/- 0.0000 deg
  a      =  -7.834622 +/- 0.5385 AU
  e      =   1.124897 +/- 0.0067
  i      = 114.176433 +/- 0.4708 deg
  peri   = 159.323766 +/- 3.3530 deg
  node   = 141.146700 +/- 0.0000 deg
  Pi     = 300.470466 +/- 3.3530 deg
  q      =   0.978524 +/- 0.0145 AU
  f      =  20.672308 +/- 3.3529 deg
  M      =        nan +/- nan deg
  Q      = -16.647768 +/- 1.0846 AU
  n      =   0.044945 +/- 0.0041 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -1.182003 +/- 0.0441
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 = 5.846398
 a2 = 10.843549

Mean time residuals from time vs. length:
  Station with reference time: UK000H
  Avg. res. = 1.465e-05 s
  Stddev    = 3.83e-03 s

Begin point on the trajectory:
  Lon =    -2.351048 +/- 0.0010 deg
  Lat =    49.562030 +/- 0.0029 deg
  Ht  = 113305.29 +/- 249.73 m
End point on the trajectory:
  Lon =    -2.547626 +/- 0.0012 deg
  Lat =    49.435202 +/- 0.0024 deg
  Ht  = 94691.77 +/- 135.70 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   9.614466,   9.440642,   113305.29,    95461.04,          0.015792,     49.81,     15.90,              98.04, 1.0000,    True,   False, {"ff_name": "FF_UK000H_20210813_235813_705_0344832.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   4.104610,  11.749508,   111090.98,    94691.77,          0.011998,     48.77,      9.46,             103.53, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210813_235816_506_0342016.fits"}
    UK003E,    True,    -1.802002,    51.351948,  130.00,   0.020038,  25.468475,   106590.04,    96981.89,          0.078657,       nan,       nan,             103.53, 0.0000,    True,    True, {"ff_name": "FF_UK003E_20210813_235820_320_0342784.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,     UK000H,       0,  0.000000, 2459440.498845570721, 307.53808,  -1.82441,              196.05124,  36.17897,       196.06201,       36.18236,    307.53808,      -1.82441,     307.53011,       -1.81955,  3225363.70, -2719096.99,  4917609.66,      49.562030,       -2.351048,  113305.29,  188855.54,       0.00,               78.17,   886.06,      0.00,           54945.91,      9.33,    -29.30,          33.58,  +3.25,  +1.87
  1,     UK000H,       0,  0.040556, 2459440.498846040107, 307.14860,  -2.35866,              196.40768,  35.58440,       196.35969,       35.56934,    307.14860,      -2.35866,     307.18452,       -2.38043,  3224559.77, -2719901.89,  4915752.92,      49.552032,       -2.366614,  111830.10,  189078.15,    2177.52,             2255.69,   537.86,  53691.80,           54945.91,    -42.01,    131.50,         150.59,  +2.72,  +1.34
  2,     UK000H,       0,  0.081124, 2459440.498846509494, 306.82189,  -2.93731,              196.67338,  34.95647,       196.65511,       34.95075,    306.82189,      -2.93731,     306.83594,       -2.94566,  3223747.46, -2720715.19,  4913876.82,      49.541924,       -2.382341,  110339.90,  189328.36,    4377.77,             4455.94,   211.63,  54236.04,           54945.91,    -16.10,     50.47,          57.72,  +1.72,  +0.33
  3,     UK000H,       0,  0.121716, 2459440.498846979346, 306.46073,  -3.53482,              196.97133,  34.30307,       196.96066,       34.29973,    306.46073,      -3.53482,     306.46930,       -3.53973,  3222891.08, -2721572.60,  4911898.94,      49.531259,       -2.398912,  108769.30,  189619.43,    6697.37,             6775.54,     3.26,  57144.30,           54945.91,     -9.48,     29.72,          33.93,  +1.44,  +0.05
  4,     UK000H,       0,  0.162356, 2459440.498847449664, 306.05716,  -4.17601,              197.30413,  33.59806,       197.28651,       33.59255,    306.05716,      -4.17601,     306.07125,       -4.18418,  3221958.71, -2722506.09,  4909745.57,      49.519640,       -2.416941,  107059.83,  189967.93,    9222.78,             9300.95,    -2.29,  62140.95,           56583.61,    -15.80,     49.51,          56.43,  +0.95,  -0.44
  5,     UK000H,       0,  0.202980, 2459440.498847919982, 305.67628,  -4.81266,              197.60530,  32.90088,       197.60046,       32.89937,    305.67628,      -4.81266,     305.68084,       -4.81492,  3221042.42, -2723423.49,  4907629.31,      49.508212,       -2.434662,  105380.33,  190342.67,   11704.67,            11782.84,   -50.36,  61094.24,           57696.03,     -4.38,     13.72,          15.61,  +0.88,  -0.52
  6,     UK000H,       0,  0.243600, 2459440.498848390300, 305.28711,  -5.43733,              197.91324,  32.21306,       197.90703,       32.21112,    305.28711,      -5.43733,     305.29292,       -5.44025,  3220129.92, -2724337.08,  4905521.84,      49.496823,       -2.452311,  103708.30,  190747.37,   14176.26,            14254.43,  -108.49,  60846.47,           58430.82,     -5.67,     17.77,          20.18,  +0.77,  -0.63
  7,     UK000H,       0,  0.284196, 2459440.498848860152, 304.91140,  -6.04357,              198.20445,  31.54513,       198.19973,       31.54366,    304.91140,      -6.04357,     304.91626,       -6.04581,  3219242.09, -2725225.99,  4903471.31,      49.485734,       -2.469489,  102081.92,  191171.22,   16581.06,            16659.23,  -231.91,  59237.43,           58804.04,     -4.34,     13.61,          15.41,  +0.63,  -0.78
  8,     UK000H,       0,  0.324780, 2459440.498849329539, 304.53019,  -6.63393,              198.50049,  30.89093,       198.48393,       30.88577,    304.53019,      -6.63393,     304.54451,       -6.64184,  3218363.85, -2726105.29,  4901442.94,      49.474756,       -2.486484,  100473.57,  191619.44,   18959.88,            19038.05,  -380.57,  58614.59,           58965.55,    -15.37,     48.15,          54.40,  +0.56,  -0.85
  9,     UK000H,       0,  0.365388, 2459440.498849799857, 304.14154,  -7.25461,              198.79257,  30.20477,       198.77579,       30.19956,    304.14154,      -7.25461,     304.15629,       -7.26269,  3217444.08, -2727026.16,  4899318.67,      49.463251,       -2.504275,   98789.68,  192119.32,   21451.16,            21529.33,  -418.25,  61349.59,           59177.83,    -15.72,     49.22,          55.48,  +0.51,  -0.91
 10,     UK000H,       0,  0.405988, 2459440.498850269709, 303.76380,  -7.87557,              199.06711,  29.51985,       199.06138,       29.51807,    303.76380,      -7.87557,     303.77005,       -7.87835,  3216526.60, -2727944.75,  4897199.68,      49.451766,       -2.522023,   97110.48,  192648.93,   23936.26,            24014.43,  -461.62,  61209.29,           59385.94,     -5.42,     16.97,          19.08,  +0.57,  -0.85
 11,     UK000H,       0,  0.446576, 2459440.498850739561, 303.38844,  -8.47883,              199.33828,  28.85208,       199.33679,       28.85162,    303.38844,      -8.47883,     303.39149,       -8.47955,  3215625.12, -2728847.32,  4895117.63,      49.440473,       -2.539466,   95461.04,  193199.23,   26378.02,            26456.19,  -547.58,  60159.72,           59535.76,     -1.41,      4.42,           4.95,  +0.67,  -0.76
  0,     UK002D,       0,  0.067669, 2459440.498846348375, 309.89508, -10.67495,              191.65127,  27.30567,       191.66892,       27.31289,    309.89508,     -10.67495,     309.88048,      -10.66577,  3224156.90, -2720305.25,  4914822.46,      49.547020,       -2.374441,  111090.98,  234531.84,       0.00,             3346.92,   -59.44,      0.00,           63001.85,     13.42,    -69.40,          62.16,  +2.34,  +0.49
  1,     UK002D,       0,  0.108109, 2459440.498846816365, 309.55532, -11.18020,              191.94883,  26.76131,       191.95505,       26.76386,    309.55532,     -11.18020,     309.55050,      -11.17695,  3223222.75, -2721240.52,  4912664.97,      49.535390,       -2.392501,  109377.54,  235063.06,    2530.25,             5877.17,   -47.70,  62567.96,           63001.85,      4.76,    -24.61,          22.00,  +1.72,  -0.14
  2,     UK002D,       0,  0.148569, 2459440.498847284354, 309.21781, -11.71015,              192.23605,  26.19195,       192.24738,       26.19657,    309.21781,     -11.71015,     309.20878,      -11.70419,  3222253.98, -2722210.46,  4910427.52,      49.523320,       -2.411225,  107601.15,  235641.45,    5154.26,             8501.18,    56.56,  64854.51,           63001.85,      8.72,    -45.09,          40.20,  +1.48,  -0.38
  3,     UK002D,       0,  0.188997, 2459440.498847752344, 308.89734, -12.20287,              192.50644,  25.66097,       192.51824,       25.66579,    308.89734,     -12.20287,     308.88803,      -12.19663,  3221344.06, -2723121.48,  4908325.98,      49.511975,       -2.428823,  105933.17,  236210.22,    7618.89,            10965.81,     3.43,  60963.35,           63001.85,      9.15,    -47.27,          42.04,  +1.33,  -0.54
  4,     UK002D,       0,  0.229473, 2459440.498848220799, 308.50080, -12.74903,              192.84584,  25.06588,       192.82500,       25.05740,    308.50080,     -12.74903,     308.51968,      -12.76011,  3220296.52, -2724170.28,  4905906.61,      49.498903,       -2.449059,  104013.55,  236894.88,   10456.25,            13803.17,   320.05,  70099.97,           64280.58,    -16.32,     84.03,          74.53,  +1.98,  +0.11
  5,     UK002D,       0,  0.269817, 2459440.498848687857, 308.25976, -13.14643,              193.03919,  24.63888,       193.03571,       24.63747,    308.25976,     -13.14643,     308.26389,      -13.14828,  3219570.65, -2724897.02,  4904230.16,      49.489839,       -2.463132,  102683.75,  237388.83,   12422.35,            15769.27,  -226.38,  48733.34,           62430.76,     -2.73,     14.10,          12.48,  +1.03,  -0.85
  6,     UK002D,       0,  0.310281, 2459440.498849156313, 307.92789, -13.67898,              193.30419,  24.06483,       193.31690,       24.07000,    307.92789,     -13.67898,     307.91816,      -13.67215,  3218585.48, -2725883.39,  4901954.81,      49.477527,       -2.482175,  100879.42,  238082.88,   15090.82,            18437.74,   -77.91,  65946.66,           62146.34,     10.04,    -51.83,          45.74,  +0.96,  -0.92
  7,     UK002D,       0,  0.350645, 2459440.498849623371, 307.63562, -14.09416,              193.54311,  23.61193,       193.54256,       23.61170,    307.63562,     -14.09416,     307.63756,      -14.09446,  3217786.28, -2726683.55,  4900109.00,      49.467533,       -2.497655,   99416.11,  238666.90,   17255.53,            20602.45,  -426.97,  53629.83,           61319.47,     -0.43,      2.24,           1.97,  +0.92,  -0.97
  8,     UK002D,       0,  0.391089, 2459440.498850091361, 307.28724, -14.60295,              193.82190,  23.05763,       193.81399,       23.05442,    307.28724,     -14.60295,     307.29579,      -14.60724,  3216809.72, -2727661.29,  4897853.56,      49.455311,       -2.516534,   97628.61,  239404.76,   19900.65,            23247.57,  -300.60,  65402.05,           61205.64,     -6.33,     32.63,          28.64,  +1.24,  -0.66
  9,     UK002D,       0,  0.431425, 2459440.498850558419, 307.02722, -14.99058,              194.02599,  22.63563,       194.01850,       22.63259,    307.02722,     -14.99058,     307.03560,      -14.99466,  3216067.10, -2728404.80,  4896138.43,      49.446011,       -2.530931,   96269.66,  239984.54,   21912.11,            25259.03,  -801.17,  49867.49,           60530.76,     -6.03,     31.04,          27.18,  +1.67,  -0.23
 10,     UK002D,       0,  0.471809, 2459440.498851025943, 306.71813, -15.43310,              194.26881,  22.15149,       194.25273,       22.14498,    306.71813,     -15.43310,     306.73427,      -15.44191,  3215204.61, -2729268.33,  4894146.43,      49.435202,       -2.547626,   94691.77,  240676.98,   24248.27,            27595.19,  -980.03,  57848.66,           60040.71,    -13.03,     67.04,          58.53,  +2.30,  +0.39
  0,     UK003E,       1,  0.170877, 2459440.498847548384, 309.11354, -12.06482,              192.29500,  25.82671,       192.41139,       25.87432,    309.11354,     -12.06482,     309.01481,      -12.00335,  3221702.43, -2722762.68,  4909153.66,      49.516444,       -2.421885,  106590.04,  235983.25,       0.00,             9995.13,   161.19,      0.00,           61733.85,     89.17,   -465.43,         414.22,  +1.86,  -0.00
  1,     UK003E,       1,  0.211345, 2459440.498848016839, 308.77487, -12.49188,              192.59321,  25.35815,       192.65979,       25.38533,    308.77487,     -12.49188,     308.71864,      -12.45656,  3220862.31, -2723603.81,  4907213.33,      49.505965,       -2.438147,  105050.26,  236521.38,    2275.56,            12270.69,   -83.50,  56231.01,           61733.85,     51.52,   -267.59,         237.64,  +1.02,  -0.85
  2,     UK003E,       1,  0.251881, 2459440.498848486226, 308.44996, -13.00951,              192.85897,  24.80099,       192.93731,       24.83294,    308.44996,     -13.00951,     308.38349,      -12.96772,  3219909.35, -2724557.92,  4905012.41,      49.494069,       -2.456571,  103304.21,  237156.57,    4856.73,            14851.86,   -26.80,  63676.17,           61733.85,     60.95,   -316.86,         280.63,  +1.97,  +0.09
  3,     UK003E,       1,  0.292421, 2459440.498848955147, 308.12088, -13.53186,              193.12452,  24.23790,       193.21494,       24.27476,    308.12088,     -13.53186,     308.04377,      -13.48333,  3218941.96, -2725526.47,  4902778.15,      49.481983,       -2.475273,  101532.26,  237828.40,    7477.02,            17472.15,    68.75,  64634.58,           61733.85,     70.74,   -368.10,         325.09,  +0.57,  -1.31
  4,     UK003E,       1,  0.332889, 2459440.498849423602, 307.80023, -13.96199,              193.39230,  23.76655,       193.45355,       23.79147,    307.80023,     -13.96199,     307.74836,      -13.92897,  3218100.63, -2726368.83,  4900835.01,      49.471465,       -2.491560,   99991.63,  238434.98,    9755.88,            19751.01,  -172.64,  56312.54,           61005.77,     48.31,   -250.66,         220.83,  +0.46,  -1.43
  5,     UK003E,       1,  0.373389, 2459440.498849892523, 307.48078, -14.43482,              193.64852,  23.25246,       193.70581,       23.27576,    307.48078,     -14.43482,     307.43230,      -14.40378,  3217198.67, -2727271.87,  4898751.87,      49.460180,       -2.509010,   98340.48,  239107.63,   12198.93,            22194.06,  -251.83,  60322.28,           60700.03,     45.49,   -235.84,         207.20,  +0.75,  -1.14
  6,     UK003E,       1,  0.413797, 2459440.498850360047, 307.22806, -14.82805,              193.84554,  22.82639,       193.91144,       22.85317,    307.22806,     -14.82805,     307.17203,      -14.79218,  3216456.34, -2728015.09,  4897037.40,      49.450886,       -2.523402,   96981.89,  239679.03,   14209.60,            24204.74,  -757.67,  49759.36,           59421.70,     52.54,   -272.62,         238.93,  +0.95,  -0.95

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.