Orbital Analysis for matched events on 20210813_225413.607_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.97° Bg 37.77° Vg 59.23km/s
mass 0.07833g, abs. mag -0.9
Path Details
------------
start -4.51° 49.92° 112.92km
end   -4.73° 49.73° 95.73km

Orbit Details
-------------
Semimajor axis 12.75A.U., eccentricity 0.93, inclination 114.11°, Period 45.51Y, LA Sun 141.10°, last Perihelion 2021-07-23

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: 2459440.454324158840
Time: 2021-08-13 22:54:13.647919 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK003E
 Convergence angle = 11.30772 deg
 R.A. =  50.01562  Dec = +57.35638 deg

Best intersection: Stations UK0021 and UK003E with Qconv = 11.31 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2197080.29 +/- 29.20 m
 Y =  -3564716.43 +/- 312.92 m
 Z =   4944936.31 +/- 68.96 m
 Vx =    20775.00 +/- 343.44 m/s
 Vy =    24173.37 +/- 1034.23 m/s
 Vz =    51133.93 +/- 864.23 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.376386e+02, -6.103699e+03, +1.475904e+03, -2.127037e+02, -1.899631e+04, -1.783275e+03
-6.103699e+03, +6.930465e+04, -1.466902e+04, +8.089540e+03, +2.033618e+05, +1.776760e+04
+1.475904e+03, -1.466902e+04, +3.748382e+03, -1.704695e+03, -4.439115e+04, -3.763958e+03
-2.127037e+02, +8.089540e+03, -1.704695e+03, +5.166499e+03, +3.447419e+04, +6.043863e+03
-1.899631e+04, +2.033618e+05, -4.439115e+04, +3.447419e+04, +6.979767e+05, +7.009393e+04
-1.783275e+03, +1.776760e+04, -3.763958e+03, +6.043863e+03, +7.009393e+04, +1.348984e+04

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK003E: -0.000035 s

Reference point on the trajectory:
  Time: 2021-08-13 22:54:13.647919 UTC
  Lon     = +-4.500317 +/- 0.0020 deg
  Lat     = +49.928201 +/- 0.0015 deg
  Lat geo = +49.741848 +/- 0.0015 deg
  Ht      =  114009.20 +/- 229.94 m

  JD dynamic   = 2459440.455125369597 
  LST apparent = 301.6472236554 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  49.32368 +/- 1.0450 deg
  Dec       = +58.06291 +/- 0.6045 deg
  Azimuth   =  36.98475 +/- 0.0658 deg
  Elevation = +33.09326 +/- 0.8245 deg
  Vavg      =  60.15645 +/- 0.4325 km/s
  Vinit     =  60.25472 +/- 0.6120 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  49.15853 +/- 1.0450 deg
  Dec       = +57.82863 +/- 0.6045 deg
  Azimuth   =  37.26059 +/- 0.0658 deg
  Elevation = +32.99782 +/- 0.8245 deg
  Vavg      =  60.31093 +/- 0.4325 km/s
  Vinit     =  60.40920 +/- 0.6120 km/s
Radiant (geocentric, J2000):
  R.A.   =  49.63846 +/- 1.0225 deg
  Dec    = +57.61841 +/- 0.6076 deg
  Vg     =  59.22503 +/- 0.6222 km/s
  Vinf   =  60.25472 +/- 0.6120 km/s
  Zc     =  57.05567 +/- 0.8244 deg
  Zg     =  57.59249 +/- 0.8229 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.97468 +/- 0.4314 deg
  Bg     = +37.77115 +/- 0.7508 deg
  Vh     =  41.00960 +/- 0.3046 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.01187 +/- 0.1969 deg
  Bh     = +62.19950 +/- 1.4111 deg
  Vh_x   =  -2.32702 +/- 0.1061 km/s
  Vh_y   = -18.98456 +/- 1.0252 km/s
  Vh_z   = -36.27614 +/- 0.2813 km/s
Orbit:
  La Sun = 141.104947 +/- -0.0000 deg
  a      =  12.746775 +/- 171.2848 AU
  e      =   0.925546 +/- 0.0269
  i      = 114.112355 +/- 1.2626 deg
  peri   = 150.285616 +/- 1.0800 deg
  node   = 141.103417 +/- 0.0001 deg
  Pi     = 291.389033 +/- 1.0801 deg
  q      =   0.949047 +/- 0.0057 AU
  f      =  29.710312 +/- 1.0799 deg
  M      =   0.454584 +/- nan deg
  Q      =  24.544502 +/- 342.5684 AU
  n      =   0.021657 +/- 0.0061 deg/day
  T      =  45.509398 +/- 304543429.0114 years
  Last perihelion JD = 2459419.465195 (2021-07-23 23:09:52.882776) +/- 0.5345 days
  Tj     =  -0.075882 +/- 0.1730
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.933194e-04, -6.972446e-05, -6.192670e-03, -2.131504e-08, -2.287363e-04, +2.675096e-04
q   , -6.972446e-05, +2.433501e-05, +2.589407e-03, +6.665193e-09, +8.571389e-05, -8.391897e-05
Tp  , -6.192670e-03, +2.589407e-03, +2.921989e-01, +6.808080e-07, +9.352793e-03, -8.586800e-03
node, -2.131504e-08, +6.665193e-09, +6.808080e-07, +1.904110e-12, +2.309012e-08, -2.395447e-08
peri, -2.287363e-04, +8.571389e-05, +9.352793e-03, +2.309012e-08, +3.051592e-04, -2.909456e-04
i   , +2.675096e-04, -8.391897e-05, -8.586800e-03, -2.395447e-08, -2.909456e-04, +3.013914e-04

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: UK0021
  Avg. res. = 3.581e-06 s
  Stddev    = 1.89e-03 s

Begin point on the trajectory:
  Lon =    -4.514031 +/- 0.0018 deg
  Lat =    49.916443 +/- 0.0014 deg
  Ht  = 112923.55 +/- 208.84 m
End point on the trajectory:
  Lon =    -4.733894 +/- 0.0022 deg
  Lat =    49.728835 +/- 0.0017 deg
  Ht  = 95726.29 +/- 98.00 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   112923.55,    96906.42,          0.008814,     15.87,     19.69,             101.79, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210813_225410_820_0238592.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   110231.12,    95726.29,          0.011129,     25.62,     49.05,             121.33, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20210813_225407_189_0246528.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,     UK0021,       1,  0.000000, 2459440.454324158840, 275.13032,  11.94550,              219.89868,  45.22586,       219.91320,       45.22554,    275.13032,     +11.94550,     275.12068,      +11.94945,  2197076.60, -3564720.72,  4944927.22,      49.928138,       -4.500221,  114003.35,  159207.60,       0.00,               10.71,   480.49,      0.00,           56751.23,     22.13,    -17.85,          36.83,  +3.67,  +2.66
  1,     UK0021,       0,  0.040596, 2459440.454324628692, 274.83100,  11.30957,              219.90281,  44.52561,       219.88644,       44.52599,    274.83100,     +11.30957,     274.84216,      +11.30508,  2196394.61, -3565514.27,  4943248.63,      49.916443,       -4.514031,  112923.55,  159591.06,    1978.00,             1988.71,    12.39,  48723.98,           56751.23,    -25.32,     20.41,          42.04,  +2.71,  +1.69
  2,     UK0021,       0,  0.081328, 2459440.454325099941, 274.50231,  10.51538,              219.85451,  43.66905,       219.85343,       43.66908,    274.50231,     +10.51538,     274.50339,      +10.51508,  2195554.12, -3566492.24,  4941179.93,      49.902023,       -4.531008,  111593.36,  160094.93,    4415.70,             4426.41,    -4.20,  59847.41,           56751.23,     -1.72,      1.38,           2.84,  +1.48,  +0.46
  3,     UK0021,       0,  0.122064, 2459440.454325571656, 274.16322,   9.71997,              219.82188,  42.80676,       219.82108,       42.80678,    274.16322,      +9.71997,     274.16428,       +9.71974,  2194702.77, -3567482.86,  4939084.47,      49.887408,       -4.548199,  110246.62,  160641.52,    6884.92,             6895.63,    10.48,  60615.12,           56751.23,     -1.28,      1.04,           2.12,  +0.78,  -0.25
  4,     UK0021,       0,  0.162796, 2459440.454326042905, 273.82481,   8.93336,              219.79632,  41.95241,       219.78993,       41.95256,    273.82481,      +8.93336,     273.82994,       +8.93154,  2193853.46, -3568471.10,  4936994.05,      49.872820,       -4.565346,  108903.75,  161222.83,    9348.21,             9358.92,    19.48,  60475.61,           57986.54,    -10.42,      8.40,          17.12,  +0.39,  -0.65
  5,     UK0021,       0,  0.203496, 2459440.454326514155, 273.52593,   8.17343,              219.74045,  41.13811,       219.76116,       41.13763,    273.52593,      +8.17343,     273.51220,       +8.17938,  2193037.38, -3569420.67,  4934985.42,      49.858794,       -4.581826,  107614.03,  161815.15,   11715.13,            11725.83,   -65.98,  58155.10,           58363.22,     34.31,    -27.68,          56.19,  +0.08,  -0.97
  6,     UK0021,       0,  0.244236, 2459440.454326985870, 273.17470,   7.38909,              219.73649,  40.28004,       219.73139,       40.28016,    273.17470,      +7.38909,     273.17935,       +7.38761,  2192171.91, -3570427.72,  4932855.20,      49.843911,       -4.599290,  106246.89,  162478.48,   14225.31,            14236.02,   -10.57,  61614.70,           58846.39,     -8.60,      6.93,          14.02,  +0.01,  -1.04
  7,     UK0021,       0,  0.284944, 2459440.454327456653, 272.86582,   6.62584,              219.69562,  39.45812,       219.70368,       39.45793,    272.86582,      +6.62584,     272.86121,       +6.62821,  2191335.21, -3571401.29,  4930795.81,      49.829514,       -4.616176,  104925.84,  163154.26,   16652.03,            16662.74,   -36.70,  59612.96,           59111.51,     13.80,    -11.13,          22.41,  -0.06,  -1.12
  8,     UK0021,       0,  0.325680, 2459440.454327928368, 272.53129,   5.83754,              219.67372,  38.60271,       219.67534,       38.60267,    272.53129,      +5.83754,     272.53147,       +5.83802,  2190457.20, -3572422.92,  4928634.76,      49.814397,       -4.633884,  103540.25,  163898.95,   19198.56,            19209.26,    55.29,  62512.82,           59462.11,      2.82,     -2.27,           4.56,  -0.16,  -1.23
  9,     UK0021,       0,  0.366384, 2459440.454328399617, 272.20937,   5.08966,              219.65975,  37.78915,       219.64918,       37.78939,    272.20937,      +5.08966,     272.21866,       +5.08650,  2189614.72, -3573403.21,  4926561.14,      49.799884,       -4.650879,  102211.37,  164647.79,   21642.04,            21652.75,    46.17,  60030.67,           59671.57,    -18.70,     15.06,          30.08,  -0.21,  -1.29
 10,     UK0021,       0,  0.407088, 2459440.454328870401, 271.90637,   4.33322,              219.62109,  36.97524,       219.62352,       36.97518,    271.90637,      +4.33322,     271.90627,       +4.33396,  2188763.34, -3574393.86,  4924465.64,      49.785209,       -4.668048,  100869.10,  165437.85,   24111.33,            24122.04,    62.85,  60664.40,           59830.92,      4.36,     -3.51,           6.98,  -0.24,  -1.33
 11,     UK0021,       0,  0.447772, 2459440.454329341184, 271.59009,   3.61066,              219.61599,  36.18680,       219.59930,       36.18719,    271.59009,      +3.61066,     271.60446,       +3.60556,  2187931.45, -3575361.83,  4922418.08,      49.770861,       -4.684824,   99558.17,  166241.95,   26524.11,            26534.82,    24.22,  59305.37,           59902.66,    -30.45,     24.52,          48.51,  -0.24,  -1.34
 12,     UK0021,       0,  0.488432, 2459440.454329811968, 271.30708,   2.90436,              219.58239,  35.42657,       219.57649,       35.42671,    271.30708,      +2.90436,     271.31357,       +2.90255,  2187120.79, -3576305.09,  4920422.80,      49.756871,       -4.701174,   98281.30,  167055.65,   28875.29,            28886.00,   -74.55,  57825.53,           59877.64,    -10.92,      8.79,          17.31,  -0.13,  -1.24
 13,     UK0021,       0,  0.529136, 2459440.454330283217, 271.01717,   2.14665,              219.53228,  34.61643,       219.55234,       34.61597,    271.01717,      +2.14665,     271.00408,       +2.15288,  2186247.49, -3577321.26,  4918273.31,      49.741792,       -4.718772,   96906.42,  167964.36,   31408.19,            31418.90,     5.74,  62227.20,           59929.02,     37.68,    -30.37,          59.43,  +0.29,  -0.84
  0,     UK003E,       0,  0.122706, 2459440.454325587489, 258.07046,  -3.94237,              231.11210,  22.14553,       231.09317,       22.14920,    258.07046,      -3.94237,     258.08812,       -3.94771,  2194692.97, -3567494.26,  4939060.36,      49.887240,       -4.548401,  110231.12,  278454.58,       0.00,             6924.05,     0.22,      0.00,           61216.43,    -77.18,     40.30,          64.49,  +1.52,  -0.70
  1,     UK003E,       0,  0.163078, 2459440.454326055013, 257.96460,  -4.34829,              230.99840,  21.73958,       231.00281,       21.73873,    257.96460,      -4.34829,     257.96128,       -4.34704,  2193867.65, -3568454.59,  4937028.98,      49.873064,       -4.565067,  108926.18,  279717.73,    2393.72,             9317.77,   -38.66,  59291.66,           61216.43,     18.10,     -9.46,          15.06,  +1.01,  -1.22
  2,     UK003E,       0,  0.203466, 2459440.454326522537, 257.81713,  -4.75309,              230.92469,  21.31440,       230.91048,       21.31716,    257.81713,      -4.75309,     257.83093,       -4.75713,  2193012.18, -3569449.99,  4934923.40,      49.858361,       -4.582333,  107574.21,  281042.33,    4874.88,            11798.92,     8.93,  61432.94,           61216.43,    -58.80,     30.71,          48.69,  +0.56,  -1.68
  3,     UK003E,       0,  0.243854, 2459440.454326989595, 257.70529,  -5.17502,              230.80913,  20.89154,       230.81742,       20.88994,    257.70529,      -5.17502,     257.69873,       -5.17266,  2192136.96, -3570468.38,  4932769.19,      49.843310,       -4.599990,  106191.71,  282413.55,    7413.32,            14337.37,   113.81,  62851.51,           61216.43,     34.57,    -18.07,          28.49,  +0.42,  -1.83
  4,     UK003E,       0,  0.284214, 2459440.454327457119, 257.56275,  -5.54411,              230.74998,  20.49999,       230.73380,       20.50313,    257.56275,      -5.54411,     257.57878,       -5.54874,  2191337.31, -3571398.83,  4930801.01,      49.829550,       -4.616134,  104929.17,  283681.27,    9732.58,            16656.62,     1.18,  57464.20,           60637.15,    -67.92,     35.46,          55.71,  +0.42,  -1.84
  5,     UK003E,       0,  0.324558, 2459440.454327923711, 257.45983,  -5.92103,              230.65022,  20.12079,       230.65151,       20.12054,    257.45983,      -5.92103,     257.46000,       -5.92066,  2190539.34, -3572327.35,  4928836.92,      49.815812,       -4.632242,  103669.83,  284959.62,   12046.99,            18971.04,  -115.32,  57367.05,           60004.87,      5.47,     -2.86,           4.46,  +0.24,  -2.03
  6,     UK003E,       0,  0.364946, 2459440.454328391235, 257.33269,  -6.34279,              230.55004,  19.69068,       230.55893,       19.68896,    257.33269,      -6.34279,     257.32602,       -6.34023,  2189630.37, -3573385.00,  4926599.67,      49.800154,       -4.650563,  102236.05,  286430.56,   14683.31,            21607.35,    87.43,  65274.66,           60343.77,     37.86,    -19.79,          30.76,  +0.14,  -2.15
  7,     UK003E,       0,  0.405270, 2459440.454328857828, 257.21629,  -6.68263,              230.48241,  19.33741,       230.48414,       19.33708,    257.21629,      -6.68263,     257.21638,       -6.68213,  2188882.55, -3574255.15,  4924759.05,      49.787264,       -4.665663,  101056.99,  287654.77,   16852.25,            23776.29,  -173.35,  53787.80,           59939.35,      7.44,     -3.88,           6.02,  +0.13,  -2.16
  8,     UK003E,       0,  0.445654, 2459440.454329325352, 257.09446,  -7.10508,              230.37754,  18.90930,       230.39262,       18.90639,    257.09446,      -7.10508,     257.08232,       -7.10071,  2187958.24, -3575330.66,  4922484.01,      49.771323,       -4.684284,   99600.38,  289181.36,   19533.08,            26457.13,    74.16,  66383.60,           60180.32,     65.15,    -34.06,          52.43,  +0.19,  -2.12
  9,     UK003E,       0,  0.486002, 2459440.454329792410, 256.97773,  -7.48032,              230.29244,  18.52497,       230.31138,       18.52131,    256.97773,      -7.48032,     256.96214,       -7.47482,  2187123.63, -3576301.80,  4920429.77,      49.756920,       -4.701111,   98285.78,  290575.06,   21953.73,            28877.78,    63.66,  59994.34,           60292.86,     82.37,    -43.06,          65.98,  +0.21,  -2.11
 10,     UK003E,       0,  0.526374, 2459440.454330259468, 256.83654,  -7.86991,              230.22252,  18.11636,       230.22609,       18.11567,    256.83654,      -7.86991,     256.83541,       -7.86887,  2186235.69, -3577334.99,  4918244.27,      49.741588,       -4.718998,   96887.87,  292072.11,   24529.07,            31453.12,   206.39,  63790.19,           60513.25,     15.62,     -8.16,          12.45,  +0.39,  -1.94
 11,     UK003E,       0,  0.566674, 2459440.454330726061, 256.73311,  -8.19482,              230.15123,  17.78251,       230.15643,       17.78151,    256.73311,      -8.19482,     256.73061,       -8.19330,  2185497.54, -3578193.88,  4916427.45,      49.728835,       -4.733894,   95726.29,  293329.51,   26669.95,            33594.00,   -80.99,  53123.63,           60356.67,     22.93,    -11.98,          18.19,  +1.21,  -1.13

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.