Orbital Analysis for matched events on 20210813_234419.496_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.36° Bg 38.80° Vg 59.22km/s
mass 0.04882g, abs. mag -1.1
Path Details
------------
start 0.90° 52.64° 109.95km
end   0.73° 52.54° 95.19km

Orbit Details
-------------
Semimajor axis 30.96A.U., eccentricity 0.97, inclination 112.71°, Period 172.31Y, LA Sun 141.14°, last Perihelion 2021-07-24

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: 2459440.489114539698
Time: 2021-08-13 23:44:19.506892 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK000S
 Convergence angle = 28.66163 deg
 R.A. =  49.79465  Dec = +58.77796 deg
Intersection 2 - Stations: UK000C and UK002K
 Convergence angle = 24.62519 deg
 R.A. =  49.68651  Dec = +58.78104 deg
Intersection 3 - Stations: UK000S and UK002K
 Convergence angle = 53.28681 deg
 R.A. =  49.74681  Dec = +58.79335 deg

Best intersection: Stations UK000S and UK002K with Qconv = 53.29 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3004873.73 +/- 85.80 m
 Y =  -2556456.83 +/- 30.55 m
 Z =   5134572.41 +/- 45.99 m
 Vx =    20243.63 +/- 441.73 m/s
 Vy =    23514.26 +/- 285.57 m/s
 Vz =    51647.08 +/- 394.35 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan

Timing offsets (from input data):
    UK000C: -0.002970 s
    UK000S: -0.001743 s
    UK002K: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:44:19.506892 UTC
  Lon     = ++0.903613 +/- 0.0008 deg
  Lat     = +52.645250 +/- 0.0006 deg
  Lat geo = +52.462646 +/- 0.0006 deg
  Ht      =  110515.90 +/- 60.41 m

  JD dynamic   = 2459440.489915404003 
  LST apparent = 319.6098560583 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  49.27454 +/- 0.5940 deg
  Dec       = +59.00398 +/- 0.1783 deg
  Azimuth   =  44.84791 +/- 0.3974 deg
  Elevation = +43.09533 +/- 0.1966 deg
  Vavg      =  60.41936 +/- 0.5637 km/s
  Vinit     =  60.25069 +/- 0.3483 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  49.27763 +/- 0.5940 deg
  Dec       = +58.77005 +/- 0.1783 deg
  Azimuth   =  45.11232 +/- 0.3974 deg
  Elevation = +42.96353 +/- 0.1966 deg
  Vavg      =  60.56802 +/- 0.5637 km/s
  Vinit     =  60.39934 +/- 0.3483 km/s
Radiant (geocentric, J2000):
  R.A.   =  49.53694 +/- 0.5921 deg
  Dec    = +58.68615 +/- 0.1778 deg
  Vg     =  59.22021 +/- 0.3542 km/s
  Vinf   =  60.25069 +/- 0.3483 km/s
  Zc     =  47.03427 +/- 0.1973 deg
  Zg     =  47.46438 +/- 0.1967 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.35712 +/- 0.4249 deg
  Bg     = +38.79722 +/- 0.1238 deg
  Vh     =  41.50596 +/- 0.3248 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  84.52859 +/- 0.9439 deg
  Bh     = +63.37813 +/- 0.3174 deg
  Vh_x   =  -1.77338 +/- 0.3127 km/s
  Vh_y   = -18.51410 +/- 0.3484 km/s
  Vh_z   = -37.10563 +/- 0.2063 km/s
Orbit:
  La Sun = 141.138360 +/- nan deg
  a      =  30.964986 +/- 19.5998 AU
  e      =   0.969304 +/- 0.0293
  i      = 112.709412 +/- 0.3259 deg
  peri   = 150.987542 +/- 0.7225 deg
  node   = 141.137459 +/- 0.0000 deg
  Pi     = 292.125002 +/- 0.7225 deg
  q      =   0.950499 +/- 0.0034 AU
  f      =  29.008521 +/- 0.7225 deg
  M      =   0.116060 +/- nan deg
  Q      =  60.979473 +/- 39.1989 AU
  n      =   0.005720 +/- 0.0081 deg/day
  T      = 172.308605 +/- 249443782.8036 years
  Last perihelion JD = 2459420.199759 (2021-07-24 16:47:39.135796) +/- 0.0000 days
  Tj     =  -0.294988 +/- 0.1678
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +nan, +nan, +nan, +nan, +nan, +nan
q   , +nan, +nan, +nan, +nan, +nan, +nan
Tp  , +nan, +nan, +nan, +nan, +nan, +nan
node, +nan, +nan, +nan, +nan, +nan, +nan
peri, +nan, +nan, +nan, +nan, +nan, +nan
i   , +nan, +nan, +nan, +nan, +nan, +nan

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 28.506168
 a2 = -0.000001

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 9.351e-06 s
  Stddev    = 3.06e-03 s

Begin point on the trajectory:
  Lon =     0.897383 +/- 0.0018 deg
  Lat =    52.641441 +/- 0.0019 deg
  Ht  = 109946.79 +/- 165.14 m
End point on the trajectory:
  Lon =     0.734147 +/- 0.0015 deg
  Lat =    52.542188 +/- 0.0016 deg
  Ht  = 95192.51 +/- 125.70 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,  29.236580,   0.000000,   109946.79,    95192.51,          0.021240,     74.69,     22.84,              13.31, 0.0530,    True,    True, {"ff_name": "FF_UK000C_20210813_234415_936_0324352.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,  57.609648,   0.000000,   107527.15,    97206.63,          0.021335,     74.37,     74.59,              19.45, 0.1109,    True,    True, {"ff_name": "FF_UK000S_20210813_234418_795_0321792.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   108178.79,    98522.90,          0.006430,     18.79,      2.79,              67.23, 0.8502,    True,    True, {"ff_name": "FF_UK002K_20210813_234417_405_0316160.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,     UK000C,       0,  0.007474, 2459440.489114663098,  74.44034,  55.51003,               35.42853,  29.01421,        35.43317,       29.01229,     74.44034,     +55.51003,      74.43706,      +55.50595,  3004593.84, -2556781.93,  5133858.34,      52.641441,       +0.897383,  109946.79,  220660.84,       0.00,              833.02,  -162.44,      0.00,           62091.83,     -5.08,     16.55,          16.18,  +3.40,  +1.68
  1,     UK000C,       0,  0.047566, 2459440.489115126897,  74.71759,  55.48077,               35.31191,  28.89129,        35.35481,       28.87340,     74.71759,     +55.48077,      74.68694,      +55.44302,  3003773.22, -2557735.14,  5131764.70,      52.630264,       +0.878949,  108278.47,  218285.45,    2442.41,             3275.43,  -135.60,  60920.12,           62091.83,    -46.04,    151.67,         149.78,  +3.03,  +1.33
  2,     UK000C,       0,  0.087702, 2459440.489115591627,  74.95755,  55.38019,               35.26528,  28.72702,        35.27124,       28.72454,     74.95755,     +55.38019,      74.95360,      +55.37495,  3002913.60, -2558733.64,  5129571.57,      52.618547,       +0.859647,  106531.39,  215799.19,    5000.88,             5833.90,     4.65,  63745.02,           62091.83,     -6.37,     20.82,          20.81,  +1.82,  +0.15
  3,     UK000C,       0,  0.127822, 2459440.489116055891,  75.20917,  55.30277,               35.19527,  28.57637,        35.18950,       28.57876,     75.20917,     +55.30277,      75.21394,      +55.30783,  3002090.55, -2559689.67,  5127471.75,      52.607320,       +0.841159,  104859.12,  213420.19,    7450.50,             8283.52,    37.01,  61057.29,           62091.83,      6.12,    -19.94,          20.16,  +1.90,  +0.25
  4,     UK000C,       0,  0.167954, 2459440.489116520621,  75.46050,  55.21176,               35.13451,  28.41530,        35.10499,       28.42746,     75.46050,     +55.21176,      75.48304,      +55.23759,  3001255.71, -2560659.38,  5125341.86,      52.595923,       +0.822408,  103163.40,  211008.99,    9935.20,            10768.22,   103.73,  61913.14,           62007.74,     31.11,   -100.89,         103.20,  +1.80,  +0.18
  5,     UK000C,       0,  0.208054, 2459440.489116984420,  75.73916,  55.17200,               35.02260,  28.28420,        35.02454,       28.28339,     75.73916,     +55.17200,      75.73860,      +55.17030,  3000478.02, -2561562.71,  5123357.76,      52.585299,       +0.804930,  101584.19,  208764.11,   12249.82,            13082.84,     2.30,  57721.25,           61371.70,     -2.01,      6.58,           6.80,  +1.79,  +0.19
  6,     UK000C,       0,  0.248186, 2459440.489117449149,  76.00973,  55.08545,               34.94757,  28.11974,        34.93631,       28.12440,     76.00973,     +55.08545,      76.01921,      +55.09530,  2999639.39, -2562536.84,  5121218.18,      52.573833,       +0.786095,   99881.72,  206345.65,   14745.82,            15578.84,    80.32,  62194.80,           61232.72,     11.58,    -37.77,          39.49,  +1.68,  +0.11
  7,     UK000C,       0,  0.288314, 2459440.489117913414,  76.25454,  54.99315,               34.88888,  27.96001,        34.85322,       27.97470,     76.25454,     +54.99315,      76.28268,      +55.02428,  2998867.29, -2563433.68,  5119248.33,      52.563269,       +0.768740,   98314.73,  204120.35,   17043.82,            17876.84,   -39.43,  57266.64,           60844.24,     36.45,   -118.31,         125.10,  +1.69,  +0.14
  8,     UK000C,       0,  0.328430, 2459440.489118377678,  76.58327,  54.94498,               34.75572,  27.80484,        34.75894,       27.80351,     76.58327,     +54.94498,      76.58222,      +54.94217,  2998005.32, -2564434.91,  5117049.21,      52.551466,       +0.749386,   96565.88,  201638.83,   19609.27,            20442.29,   109.01,  63950.84,           60870.04,     -3.23,     10.57,          11.31,  +1.72,  +0.20
  9,     UK000C,       0,  0.368530, 2459440.489118841942,  76.83886,  54.89685,               34.65921,  27.67602,        34.68280,       27.66621,     76.83886,     +54.89685,      76.82244,      +54.87622,  2997328.26, -2565221.37,  5115321.83,      52.542188,       +0.734147,   95192.51,  199689.94,   21624.40,            22457.42,  -291.91,  50252.74,           60304.38,    -23.36,     76.96,          83.07,  +3.56,  +2.06
  0,     UK000S,       0,  0.077669, 2459440.489115458913,  74.07170,  45.33942,               41.87582,  20.43988,        41.89485,       20.43931,     74.07170,     +45.33942,      74.05221,      +45.32828,  3003403.58, -2558164.50,  5130821.65,      52.625227,       +0.870601,  107527.15,  291382.23,       0.00,             4375.57,  -849.21,      0.00,           68369.08,    -64.15,     64.16,          64.23,  +3.41,  +1.09
  1,     UK000S,       0,  0.117813, 2459440.489115923643,  74.23738,  45.18899,               41.87225,  20.24957,        41.88676,       20.24914,     74.23738,     +45.18899,      74.22277,      +45.18050,  3002468.75, -2559250.36,  5128436.64,      52.612480,       +0.849625,  105627.48,  288765.72,    2782.31,             7157.89,  -485.60,  69308.29,           68369.08,    -48.55,     48.55,          49.04,  +1.45,  -0.85
  2,     UK000S,       0,  0.157977, 2459440.489116388373,  74.40236,  44.98696,               41.90117,  20.01795,        41.87732,       20.01863,     74.40236,     +44.98696,      74.42791,      +45.00086,  3001358.46, -2560540.03,  5125604.00,      52.597327,       +0.824743,  103372.09,  285663.74,    6086.83,            10462.40,   399.01,  82275.62,           68369.08,     79.19,    -78.92,          80.73,  +1.44,  -0.84
  3,     UK000S,       0,  0.198085, 2459440.489116852637,  74.52790,  44.88010,               41.89291,  19.87918,        41.87091,       19.87981,     74.52790,     +44.88010,      74.55168,      +44.89291,  3000700.10, -2561304.76,  5123924.33,      52.588334,       +0.809921,  102035.10,  283823.56,    8046.31,            12421.88,   -58.04,  48855.10,           68369.08,     72.60,    -72.38,          74.50,  +1.18,  -1.09
  4,     UK000S,       0,  0.238237, 2459440.489117317367,  74.70088,  44.72475,               41.88605,  19.68131,        41.86252,       19.68198,     74.70088,     +44.72475,      74.72642,      +44.73843,  2999777.49, -2562376.43,  5121570.49,      52.575722,       +0.789216,  100162.03,  281250.62,   10792.26,            15167.84,   268.73,  68388.94,           66886.78,     77.04,    -76.81,          79.79,  +0.90,  -1.35
  5,     UK000S,       0,  0.278369, 2459440.489117781632,  74.84257,  44.57756,               41.89242,  19.50301,        41.85479,       19.50407,     74.84257,     +44.57756,      74.88301,      +44.59940,  2998961.65, -2563324.08,  5119489.06,      52.564560,       +0.770888,   98506.22,  278977.43,   13220.43,            17596.00,   278.91,  60504.49,           65551.72,    122.43,   -121.93,         127.76,  +1.84,  -0.39
  6,     UK000S,       0,  0.318493, 2459440.489118246362,  75.00711,  44.48933,               41.84740,  19.36252,        41.84825,       19.36249,     75.00711,     +44.48933,      75.00756,      +44.48884,  2998321.17, -2564068.03,  5117855.03,      52.555792,       +0.756464,   97206.63,  277193.17,   15126.66,            19502.23,  -232.36,  47508.50,           63142.48,     -2.75,      2.75,           2.89,  +1.06,  -1.15
  0,     UK002K,       1,  0.000000, 2459440.489114539698, 349.67409,   9.38144,              138.52781,  39.18561,       138.53972,       39.19761,    349.67409,      +9.38144,     349.66066,       +9.38877,  3004869.30, -2556461.97,  5134561.10,      52.645190,       +0.903559,  110506.89,  172617.45,       0.00,               13.19,  -531.98,      0.00,           61339.53,     -6.72,    -45.10,          54.49,  +4.39,  +3.20
  1,     UK002K,       0,  0.040372, 2459440.489115006756, 349.14178,   8.47484,              139.60756,  38.55964,       139.60448,       38.55659,    349.14178,      +8.47484,     349.14539,       +8.47296,  3003724.18, -2557792.10,  5131639.58,      52.629596,       +0.877901,  108178.79,  171287.85,    3408.20,             3421.39,   443.77,  84419.87,           61339.53,      1.71,     11.48,          13.98,  +1.76,  +0.59
  2,     UK002K,       0,  0.080608, 2459440.489115472883, 348.85102,   7.92842,              140.21550,  38.16699,       140.22404,       38.17540,    348.85102,      +7.92842,     348.84184,       +7.93361,  3003058.11, -2558565.78,  5129940.27,      52.620518,       +0.862907,  106825.07,  170538.80,    5390.59,             5403.78,     1.91,  49269.00,           61339.53,     -4.72,    -31.67,          38.73,  +1.04,  -0.12
  3,     UK002K,       0,  0.120848, 2459440.489115938544, 348.49888,   7.33737,              140.91034,  37.75344,       140.90460,       37.74783,    348.49888,      +7.33737,     348.50576,       +7.33390,  3002324.58, -2559417.83,  5128068.82,      52.610513,       +0.846410,  105334.57,  169737.56,    7573.80,             7586.99,  -239.36,  54254.74,           61339.53,      3.14,     21.14,          25.97,  +1.22,  +0.07
  4,     UK002K,       0,  0.161164, 2459440.489116405137, 348.08730,   6.58539,              141.74230,  37.20891,       141.74192,       37.20853,    348.08730,      +6.58539,     348.08840,       +6.58516,  3001418.68, -2560470.08,  5125757.62,      52.598149,       +0.826077,  103494.38,  168783.25,   10270.00,            10283.19,    27.77,  66876.78,           61337.22,      0.21,      1.41,           1.74,  +0.72,  -0.42
  5,     UK002K,       0,  0.201432, 2459440.489116871264, 347.72681,   5.94643,              142.45327,  36.74621,       142.44954,       36.74264,    347.72681,      +5.94643,     347.73176,       +5.94420,  3000651.38, -2561361.35,  5123800.03,      52.587668,       +0.808829,  101936.17,  168003.86,   12553.70,            12566.89,  -114.70,  56712.43,           60676.09,      2.00,     13.51,          16.77,  +0.94,  -0.19
  6,     UK002K,       0,  0.241744, 2459440.489117337856, 347.33877,   5.21906,              143.22751,  36.20709,       143.23449,       36.21370,    347.33877,      +5.21906,     347.33212,       +5.22322,  2999796.91, -2562353.88,  5121620.04,      52.575987,       +0.789641,  100201.44,  167169.16,   15096.85,            15110.04,    -0.38,  63086.69,           60698.44,     -3.73,    -25.08,          31.29,  +0.52,  -0.60
  7,     UK002K,       0,  0.282032, 2459440.489117803983, 346.94384,   4.51697,              143.98904,  35.68968,       143.99147,       35.69196,    346.94384,      +4.51697,     346.94236,       +4.51841,  2998969.87, -2563314.53,  5119510.04,      52.564673,       +0.771063,   98522.90,  166394.28,   17558.33,            17571.52,    33.73,  61097.23,           60740.99,     -1.29,     -8.66,          10.85,  +1.04,  -0.07
  8,     UK002K,       1,  0.322244, 2459440.489118269179, 346.72673,   4.05836,              144.43470,  35.33528,       144.46355,       35.36223,    346.72673,      +4.05836,     346.69658,       +4.07549,  2998454.06, -2563913.68,  5118194.06,      52.557612,       +0.759414,   97476.21,  165925.73,   19093.54,            19106.73,  -853.87,  38177.86,           59259.52,    -15.27,   -102.48,         128.81,  +6.55,  +5.45

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.