Orbital Analysis for matched events on 20210813_011610.570_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.42° Bg 37.80° Vg 58.95km/s
mass 0.13969g, abs. mag -1.8
Path Details
------------
start -3.77° 53.57° 113.76km
end   -3.99° 53.47° 90.45km

Orbit Details
-------------
Semimajor axis 10.46A.U., eccentricity 0.91, inclination 113.83°, Period 33.83Y, LA Sun 140.24°, last Perihelion 2021-07-22

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: 2459439.552900119685
Time: 2021-08-13 01:16:10.610654 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Y and UK0027
 Convergence angle = 41.87124 deg
 R.A. =  48.24319  Dec = +57.81931 deg

Best intersection: Stations UK000Y and UK0027 with Qconv = 41.87 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3556776.29 +/- 75.49 m
 Y =  -1509965.14 +/- 144.37 m
 Z =   5201906.17 +/- 120.98 m
 Vx =    21150.79 +/- 239.24 m/s
 Vy =    24053.86 +/- 438.92 m/s
 Vz =    50720.89 +/- 366.36 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.122304e+03, +4.764120e+03, -1.204707e+03, +4.576915e+03, +4.353674e+03, -1.110312e+04
+4.764120e+03, +1.836453e+04, -1.034305e+04, -1.757779e+03, +2.955720e+04, -3.762265e+04
-1.204707e+03, -1.034305e+04, +9.192846e+03, +2.008946e+03, -1.998663e+04, +2.263576e+04
+4.576915e+03, -1.757779e+03, +2.008946e+03, +1.474965e+04, -1.779617e+03, -6.178218e+03
+4.353674e+03, +2.955720e+04, -1.998663e+04, -1.779617e+03, +6.730842e+04, -7.371053e+04
-1.110312e+04, -3.762265e+04, +2.263576e+04, -6.178218e+03, -7.371053e+04, +9.371745e+04

Timing offsets (from input data):
    UK000Y: 0.000000 s
    UK0027: -0.000135 s

Reference point on the trajectory:
  Time: 2021-08-13 01:16:10.610654 UTC
  Lon     = +-3.749188 +/- 0.0023 deg
  Lat     = +53.575484 +/- 0.0006 deg
  Lat geo = +53.394720 +/- 0.0006 deg
  Ht      =  115620.20 +/- 114.58 m

  JD dynamic   = 2459439.553701327182 
  LST apparent = 336.9972267602 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.67453 +/- 0.3692 deg
  Dec       = +57.72749 +/- 0.3964 deg
  Azimuth   =  54.09579 +/- 0.5096 deg
  Elevation = +51.26097 +/- 0.3098 deg
  Vavg      =  59.67750 +/- 0.1247 km/s
  Vinit     =  59.98794 +/- 0.1776 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.83167 +/- 0.3692 deg
  Dec       = +57.51190 +/- 0.3964 deg
  Azimuth   =  54.34647 +/- 0.5096 deg
  Elevation = +51.09107 +/- 0.3098 deg
  Vavg      =  59.82081 +/- 0.1247 km/s
  Vinit     =  60.13125 +/- 0.1776 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.84611 +/- 0.3703 deg
  Dec    = +57.49593 +/- 0.4011 deg
  Vg     =  58.95364 +/- 0.1807 km/s
  Vinf   =  59.98794 +/- 0.1776 km/s
  Zc     =  38.84527 +/- 0.3088 deg
  Zg     =  39.19662 +/- 0.3136 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.41580 +/- 0.1757 deg
  Bg     = +37.79512 +/- 0.4245 deg
  Vh     =  40.82025 +/- 0.3462 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.09814 +/- 0.4424 deg
  Bh     = +62.26250 +/- 0.4481 deg
  Vh_x   =  -2.28305 +/- 0.1439 km/s
  Vh_y   = -18.86094 +/- 0.1462 km/s
  Vh_z   = -36.12956 +/- 0.4512 km/s
Orbit:
  La Sun = 140.239295 +/- -0.0000 deg
  a      =  10.460182 +/- 23579.6430 AU
  e      =   0.909617 +/- 0.0308
  i      = 113.831721 +/- 0.4322 deg
  peri   = 149.258921 +/- 0.8952 deg
  node   = 140.238798 +/- 0.0000 deg
  Pi     = 289.497719 +/- 0.8952 deg
  q      =   0.945422 +/- 0.0029 AU
  f      =  30.737244 +/- 0.8952 deg
  M      =   0.633378 +/- nan deg
  Q      =  19.974942 +/- 47159.2855 AU
  n      =   0.029134 +/- 0.0081 deg/day
  T      =  33.830584 +/- 339251199.6136 years
  Last perihelion JD = 2459417.813287 (2021-07-22 07:31:07.989573) +/- 0.6307 days
  Tj     =   0.021568 +/- 0.1647
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.645015e-04, +6.056542e-05, +1.632423e-02, +1.045286e-08, +3.449647e-04, -1.445722e-04
q   , +6.056542e-05, +8.182058e-06, +1.894872e-03, +9.578905e-10, +4.264384e-05, -1.322884e-05
Tp  , +1.632423e-02, +1.894872e-03, +4.632932e-01, +2.572149e-07, +1.018782e-02, -3.554448e-03
node, +1.045286e-08, +9.578905e-10, +2.572149e-07, +1.823575e-13, +5.439426e-09, -2.520829e-09
peri, +3.449647e-04, +4.264384e-05, +1.018782e-02, +5.439426e-09, +2.262349e-04, -7.514932e-05
i   , -1.445722e-04, -1.322884e-05, -3.554448e-03, -2.520829e-09, -7.514932e-05, +3.484736e-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: UK000Y
  Avg. res. = 5.668e-06 s
  Stddev    = 2.38e-03 s

Begin point on the trajectory:
  Lon =    -3.767083 +/- 0.0019 deg
  Lat =    53.567770 +/- 0.0006 deg
  Ht  = 113763.34 +/- 104.63 m
End point on the trajectory:
  Lon =    -3.994376 +/- 0.0010 deg
  Lat =    53.470218 +/- 0.0005 deg
  Ht  = 90454.20 +/- 65.80 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
    UK000Y,   False,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,   113763.34,    90955.49,          0.022960,     13.03,     72.41,              76.17, 1.0000,    True,    True, {"ff_name": "FF_UK000Y_20210813_011601_319_0444928.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   0.000000,   0.000000,   107056.18,    90454.20,          0.023186,     60.75,     95.80,              61.75, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210813_011610_084_0450048.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,     UK000Y,       1,  0.000000, 2459439.552900119685, 257.73279,  42.73576,              293.69860,  37.54769,       293.64151,       37.57712,    257.73279,     +42.73576,     257.80360,      +42.72135,  3556787.96, -1509951.86,  5201934.16,      53.575591,       -3.748771,  115646.02,  186511.48,       0.00,               33.11,    66.62,      0.00,           59814.01,   -172.97,     30.89,         194.31,  +3.41,  +2.06
  1,     UK000Y,       0,  0.040328, 2459439.552900586277, 257.50984,  42.02810,              293.17277,  36.95379,       293.14626,       36.96740,    257.50984,     +42.02810,     257.54271,      +42.02145,  3555936.88, -1510919.76,  5199893.22,      53.567770,       -3.767083,  113763.34,  185977.08,    2413.84,             2380.73,    -4.96,  59855.15,           59814.01,    -80.45,     14.41,          90.65,  +2.28,  +0.93
  2,     UK000Y,       0,  0.080640, 2459439.552901052870, 257.30613,  41.34788,              292.67165,  36.38433,       292.67868,       36.38073,    257.30613,     +41.34788,     257.29783,      +41.34964,  3555125.19, -1511842.86,  5197946.73,      53.560305,       -3.784560,  111968.10,  185495.76,    4715.97,             4682.86,  -121.06,  57107.80,           59814.01,     21.40,     -3.84,          24.17,  +0.91,  -0.43
  3,     UK000Y,       0,  0.121028, 2459439.552901520394, 257.02313,  40.59970,              292.16983,  35.72038,       292.16452,       35.72309,    257.02313,     +40.59970,     257.03011,      +40.59838,  3554222.75, -1512869.17,  5195782.62,      53.551996,       -3.803976,  109972.51,  184992.01,    7275.47,             7242.36,    15.65,  63372.88,           59814.01,    -16.18,      2.90,          18.32,  +0.26,  -1.08
  4,     UK000Y,       0,  0.161392, 2459439.552901987452, 256.77981,  39.86500,              291.66740,  35.08275,       291.67185,       35.08049,    256.77981,     +39.86500,     256.77509,      +39.86609,  3553348.41, -1513863.52,  5193685.90,      53.543939,       -3.822796,  108039.43,  184536.91,    9755.27,             9722.16,    74.10,  61435.98,           60404.69,     13.57,     -2.44,          15.42,  -0.04,  -1.37
  5,     UK000Y,       0,  0.201728, 2459439.552902454510, 256.57221,  39.15977,              291.17916,  34.48092,       291.20912,       34.46573,    256.57221,     +39.15977,     256.53688,      +39.16711,  3552518.45, -1514807.40,  5191695.60,      53.536284,       -3.840674,  106204.78,  184135.33,   12109.22,            12076.10,     8.36,  58358.34,           60281.10,     91.72,    -16.51,         104.39,  -0.41,  -1.74
  6,     UK000Y,       0,  0.242092, 2459439.552902921569, 256.35192,  38.40952,              290.67038,  33.83663,       290.72404,       33.80950,    256.35192,     +38.40952,     256.28846,      +38.42260,  3551638.69, -1515807.90,  5189585.89,      53.528161,       -3.859618,  104260.42,  183741.26,   14604.38,            14571.27,    82.18,  61816.64,           60401.55,    164.68,    -29.72,         187.85,  -0.70,  -2.02
  7,     UK000Y,       0,  0.282492, 2459439.552903389093, 256.07556,  37.66965,              290.21862,  33.16367,       290.24545,       33.15015,    256.07556,     +37.66965,     256.04466,      +37.67616,  3550760.88, -1516806.20,  5187480.84,      53.520049,       -3.878524,  102320.72,  183381.23,   17094.04,            17060.93,   148.32,  61625.13,           60553.84,     82.57,    -14.86,          94.37,  -0.93,  -2.25
  8,     UK000Y,       0,  0.322860, 2459439.552903856616, 255.82275,  36.99174,              289.81416,  32.54356,       289.81302,       32.54413,    255.82275,     +36.99174,     255.82545,      +36.99146,  3549959.29, -1517717.81,  5185558.59,      53.512635,       -3.895807,  100549.76,  183082.32,   19367.50,            19334.39,     0.19,  56318.42,           60342.40,     -3.52,      0.63,           4.03,  -1.08,  -2.39
  9,     UK000Y,       0,  0.363220, 2459439.552904323675, 255.62134,  36.25792,              289.33768,  31.90941,       289.35972,       31.89836,    255.62134,     +36.25792,     255.59672,      +36.26321,  3549109.80, -1518683.90,  5183521.46,      53.504770,       -3.914117,   98673.30,  182795.49,   21776.83,            21743.72,   -11.60,  59695.93,           60199.52,     68.23,    -12.28,          78.23,  -1.24,  -2.55
 10,     UK000Y,       0,  0.403628, 2459439.552904791199, 255.34631,  35.52826,              288.92412,  31.23273,       288.90634,       31.24163,    255.34631,     +35.52826,     255.36900,      +35.52401,  3548250.58, -1519661.05,  5181461.00,      53.496808,       -3.932638,   96775.69,  182537.31,   24213.75,            24180.64,     1.33,  60307.86,           60126.53,    -55.25,      9.90,          63.42,  -1.30,  -2.61
 11,     UK000Y,       0,  0.444008, 2459439.552905258723, 255.12381,  34.79901,              288.48459,  30.58259,       288.46524,       30.59226,    255.12381,     +34.79901,     255.14844,      +34.79441,  3547405.26, -1520622.41,  5179433.85,      53.488967,       -3.950866,   94909.10,  182315.03,   26611.27,            26578.16,   -23.46,  59373.99,           60055.46,    -60.34,     10.82,          69.35,  -1.28,  -2.58
 12,     UK000Y,       0,  0.484400, 2459439.552905726247, 254.91084,  34.01087,              288.00051,  29.89184,       287.99798,       29.89311,    254.91084,     +34.01087,     254.91583,      +34.01027,  3546499.22, -1521652.80,  5177261.12,      53.480555,       -3.970395,   92908.84,  182111.04,   29180.98,            29147.86,   123.21,  63619.19,           60130.10,     -7.93,      1.42,           9.12,  -1.34,  -2.64
 13,     UK000Y,       0,  0.524820, 2459439.552906193770, 254.65896,  33.24866,              287.57363,  29.19397,       287.54696,       29.20723,    254.65896,     +33.24866,     254.69229,      +33.24238,  3545614.26, -1522659.22,  5175138.94,      53.472330,       -3.989478,   90955.49,  181946.98,   31690.89,            31657.78,   208.41,  62095.78,           60233.25,    -83.73,     15.00,          96.43,  -0.88,  -2.18
 14,     UK000Y,       1,  0.565068, 2459439.552906659897, 254.57237,  32.66328,              287.17704,  28.71697,       287.21631,       28.69749,    254.57237,     +32.66328,     254.52903,      +32.67252,  3544959.33, -1523404.05,  5173568.37,      53.466238,       -4.003646,   89510.05,  181850.28,   33548.41,            33515.30,  -348.46,  46151.96,           59949.34,    123.60,    -22.28,         142.45,  +2.94,  +1.64
  0,     UK0027,       1,  0.141889, 2459439.552901664283, 195.38724,  55.54912,              338.56898,  21.23630,       338.54306,       21.25872,    195.38724,     +55.54912,     195.44288,      +55.55989,  3553684.19, -1513481.65,  5194491.13,      53.547034,       -3.815516,  108781.77,  284907.80,       0.00,             8769.82,   291.71,      0.00,           56754.05,   -138.35,    -87.90,         118.66,  +4.04,  +1.77
  1,     UK0027,       0,  0.182009, 2459439.552902128547, 195.74919,  55.19492,              338.21374,  20.99559,       338.24921,       20.96493,    195.74919,     +55.19492,     195.67511,      +55.18032,  3552903.62, -1514369.35,  5192619.28,      53.539837,       -3.832337,  107056.18,  283934.17,    2213.85,            10983.67,    98.84,  55180.71,           56754.05,    188.97,    119.66,         162.49,  +1.59,  -0.68
  2,     UK0027,       0,  0.222217, 2459439.552902593743, 195.91181,  54.79981,              337.95080,  20.67245,       337.95485,       20.66896,    195.91181,     +54.79981,     195.90424,      +54.79816,  3552123.95, -1515256.04,  5190749.58,      53.532643,       -3.849143,  105332.85,  282975.72,    4425.15,            13194.97,  -101.85,  54996.64,           56754.05,     21.47,     13.62,          18.53,  +0.56,  -1.70
  3,     UK0027,       0,  0.262425, 2459439.552903059404, 196.12923,  54.36874,              337.64058,  20.33000,       337.62942,       20.33961,    196.12923,     +54.36874,     196.15343,      +54.37325,  3551263.91, -1516234.12,  5188687.15,      53.524699,       -3.867667,  103432.22,  281934.49,    6864.40,            15634.22,   -74.60,  60665.60,           56754.05,    -59.04,    -37.48,          51.16,  +0.13,  -2.12
  4,     UK0027,       0,  0.302593, 2459439.552903524134, 196.42841,  53.95331,              337.28941,  20.02242,       337.30485,       20.00914,    196.42841,     +53.95331,     196.39791,      +53.94714,  3550408.77, -1517206.64,  5186636.47,      53.516793,       -3.886090,  101542.76,  280916.47,    9289.75,            18059.57,   -58.85,  60380.19,           57811.75,     81.43,     51.61,          70.79,  -0.22,  -2.46
  5,     UK0027,       0,  0.342809, 2459439.552903989796, 196.62212,  53.51653,              336.98790,  19.67101,       336.98073,       19.67717,    196.62212,     +53.51653,     196.63811,      +53.51937,  3549557.40, -1518174.87,  5184594.82,      53.508915,       -3.904437,   99661.95,  279920.26,   11704.43,            20474.25,   -56.64,  60042.88,           58432.95,    -37.68,    -23.91,          32.88,  -0.29,  -2.53
  6,     UK0027,       0,  0.383021, 2459439.552904454991, 196.81812,  53.07925,              336.68401,  19.32048,       336.65699,       19.34361,    196.81812,     +53.07925,     196.87422,      +53.08983,  3548709.47, -1519139.18,  5182561.44,      53.501061,       -3.922714,   97789.10,  278945.43,   14109.33,            22879.14,   -63.98,  59805.35,           58801.88,   -141.47,    -89.85,         123.92,  -0.47,  -2.70
  7,     UK0027,       0,  0.423213, 2459439.552904920187, 197.10323,  52.62202,              336.31846,  18.97487,       336.30910,       18.98287,    197.10323,     +52.62202,     197.12368,      +52.62565,  3547800.52, -1520172.89,  5180381.71,      53.492634,       -3.942299,   95781.85,  277919.55,   16687.30,            25457.12,   102.96,  64141.57,           59400.54,    -48.85,    -31.00,          42.94,  -0.50,  -2.72
  8,     UK0027,       0,  0.463425, 2459439.552905385848, 197.33429,  52.16146,              335.98162,  18.61388,       335.96719,       18.62619,    197.33429,     +52.16146,     197.36480,      +52.16700,  3546909.92, -1521185.73,  5178246.00,      53.484369,       -3.961495,   93815.50,  276934.18,   19213.22,            27983.04,   216.65,  62815.05,           59907.64,    -75.11,    -47.67,          66.26,  -0.52,  -2.73
  9,     UK0027,       0,  0.503621, 2459439.552905851044, 197.60777,  51.68863,              335.61304,  18.25368,       335.61264,       18.25402,    197.60777,     +51.68863,     197.61063,      +51.68879,  3545988.85, -1522233.23,  5176037.21,      53.475812,       -3.981347,   91782.27,  275935.67,   21825.57,            30595.39,   417.72,  64990.18,           60442.99,     -2.10,     -1.33,           1.86,  -0.27,  -2.47
 10,     UK0027,       0,  0.543785, 2459439.552906315774, 197.72042,  51.36460,              335.40416,  17.98817,       335.37971,       18.00898,    197.72042,     +51.36460,     197.77041,      +51.37384,  3545387.15, -1522917.51,  5174594.31,      53.470218,       -3.994376,   90454.20,  275296.45,   23532.10,            32301.92,  -285.11,  42489.09,           59919.57,   -126.60,    -80.37,         112.35,  +1.35,  -0.85

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.