Orbital Analysis for matched events on 20210816_025421.716_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 68.35° Bg 35.88° Vg 56.57km/s
mass 0.01936g, abs. mag -0.3
Path Details
------------
start -3.06° 50.68° 106.24km
end   -3.13° 50.66° 96.82km

Orbit Details
-------------
Semimajor axis 2.99A.U., eccentricity 0.70, inclination 114.11°, Period 5.17Y, LA Sun 143.19°, last Perihelion 2021-07-15

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: 2459442.621084678452
Time: 2021-08-16 02:54:21.757497 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000T and UK003E
 Convergence angle = 46.96816 deg
 R.A. =  57.26678  Dec = +56.83263 deg

Best intersection: Stations UK000T and UK003E with Qconv = 46.97 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4100122.88 +/- 32.16 m
 Y =    378561.24 +/- 10.76 m
 Z =   4996113.03 +/- 11.66 m
 Vx =    17224.87 +/- 178.48 m/s
 Vy =    26282.88 +/- 72.87 m/s
 Vz =    48335.41 +/- 108.25 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.110354e+03, +2.791204e+02, +3.118389e+02, +5.762573e+03, +6.749934e+02, -3.177609e+02
+2.791204e+02, +1.243643e+02, +5.065906e+01, +1.510735e+03, +4.840984e+02, -2.710815e+02
+3.118389e+02, +5.065906e+01, +1.451923e+02, +1.363039e+03, -1.532109e+02, +1.492020e+02
+5.762573e+03, +1.510735e+03, +1.363039e+03, +3.383811e+04, +5.236401e+03, -3.465369e+03
+6.749934e+02, +4.840984e+02, -1.532109e+02, +5.236401e+03, +3.139445e+03, -2.078338e+03
-3.177609e+02, -2.710815e+02, +1.492020e+02, -3.465369e+03, -2.078338e+03, +1.531690e+03

Timing offsets (from input data):
    UK000T: 0.000000 s
    UK0022: 0.000000 s
    UK003C: 0.000000 s
    UK003E: 0.000051 s

Reference point on the trajectory:
  Time: 2021-08-16 02:54:21.757497 UTC
  Lon     = +-3.041870 +/- 0.0001 deg
  Lat     = +50.691844 +/- 0.0002 deg
  Lat geo = +50.506254 +/- 0.0002 deg
  Ht      =  108787.75 +/- 28.29 m

  JD dynamic   = 2459442.621885897126 
  LST apparent = 5.2751202642 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  56.76059 +/- 0.2512 deg
  Dec       = +56.97091 +/- 0.1203 deg
  Azimuth   =  57.80799 +/- 0.2745 deg
  Elevation = +59.73757 +/- 0.1171 deg
  Vavg      =  54.56472 +/- 0.0647 km/s
  Vinit     =  57.65238 +/- 0.0508 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  57.09896 +/- 0.2512 deg
  Dec       = +56.77513 +/- 0.1203 deg
  Azimuth   =  58.12071 +/- 0.2745 deg
  Elevation = +59.51957 +/- 0.1171 deg
  Vavg      =  54.69342 +/- 0.0647 km/s
  Vinit     =  57.78107 +/- 0.0508 km/s
Radiant (geocentric, J2000):
  R.A.   =  56.85787 +/- 0.2547 deg
  Dec    = +56.85293 +/- 0.1208 deg
  Vg     =  56.57443 +/- 0.0518 km/s
  Vinf   =  57.65238 +/- 0.0508 km/s
  Zc     =  30.36167 +/- 0.1177 deg
  Zg     =  30.65509 +/- 0.1194 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  68.34928 +/- 0.1988 deg
  Bg     = +35.87962 +/- 0.0890 deg
  Vh     =  38.14974 +/- 0.0331 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  91.34403 +/- 0.5396 deg
  Bh     = +60.35879 +/- 0.0819 deg
  Vh_x   =   0.44255 +/- 0.1769 km/s
  Vh_y   = -18.86242 +/- 0.0356 km/s
  Vh_z   = -33.15745 +/- 0.0546 km/s
Orbit:
  La Sun = 143.186575 +/- -0.0000 deg
  a      =   2.990056 +/- 0.0261 AU
  e      =   0.699904 +/- 0.0029
  i      = 114.105622 +/- 0.2008 deg
  peri   = 136.328714 +/- 0.4511 deg
  node   = 143.186801 +/- 0.0000 deg
  Pi     = 279.515515 +/- 0.4511 deg
  q      =   0.897303 +/- 0.0024 AU
  f      =  43.667850 +/- 0.4511 deg
  M      =   5.981905 +/- 0.0889 deg
  Q      =   5.082808 +/- 0.0528 AU
  n      =   0.190627 +/- 0.0024 deg/day
  T      =   5.170346 +/- 0.0681 years
  Last perihelion JD = 2459411.241784 (2021-07-15 17:48:10.147524) +/- 0.2463 days
  Tj     =   1.298304 +/- 0.0128
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +8.735309e-06, -3.698200e-06, -2.139393e-04, +6.208441e-10, -9.734526e-06, -9.500879e-06
q   , -3.698200e-06, +6.264572e-06, +6.178722e-04, -4.825239e-10, +2.020929e-05, +7.385487e-06
Tp  , -2.139393e-04, +6.178722e-04, +6.441666e-02, -3.991941e-08, +2.043855e-03, +6.110418e-04
node, +6.208441e-10, -4.825239e-10, -3.991941e-08, +5.639800e-14, -1.445035e-09, -8.631823e-10
peri, -9.734526e-06, +2.020929e-05, +2.043855e-03, -1.445035e-09, +6.593163e-05, +2.211817e-05
i   , -9.500879e-06, +7.385487e-06, +6.110418e-04, -8.631823e-10, +2.211817e-05, +1.321120e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.008121
 a2 = 45.649448

Mean time residuals from time vs. length:
  Station with reference time: UK000T
  Avg. res. = 8.151e-06 s
  Stddev    = 2.85e-03 s

Begin point on the trajectory:
  Lon =    -3.059368 +/- 0.0001 deg
  Lat =    50.684844 +/- 0.0001 deg
  Ht  = 106241.86 +/- 18.76 m
End point on the trajectory:
  Lon =    -3.125093 +/- 0.0001 deg
  Lat =    50.658855 +/- 0.0001 deg
  Ht  = 96816.92 +/- 14.97 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
    UK000T,   False,    -3.557111,    51.483925,   37.50,   0.004736,  47.556751,   106241.86,    96816.92,          0.002445,      4.53,      3.93,              53.87, 1.0000,    True,    True, {"ff_name": "FF_UK000T_20210816_025419_494_0600064.fits"}
    UK0022,    True,    -0.848117,    51.261084,   92.00,   0.000000,   0.000000,    98647.22,    92564.73,          0.023545,       nan,       nan,              86.70, 0.0000,    True,    True, {"ff_name": "FF_UK0022_20210816_025414_441_0547328.fits"}
    UK003C,    True,    -4.949858,    50.224871,   55.00,  47.359793,   0.000000,   104561.08,    95800.79,          0.059080,       nan,       nan,              23.42, 0.0000,    True,    True, {"ff_name": "FF_UK003C_20210816_025418_778_0600320.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   105288.07,    97431.67,          0.006335,     17.15,      1.85,              76.50, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20210816_025419_268_0612096.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,     UK000T,       1,  0.000000, 2459442.621084678452,  19.85083,  11.45213,              157.52389,  48.12809,       157.51388,       48.12286,     19.85083,     +11.45213,      19.85875,      +11.44867,  4100124.61,   378563.88,  4996117.88,      50.691857,       -3.041664,  108792.75,  145089.52,       0.00,                5.79,  -239.13,      0.00,           58028.60,     14.10,     16.25,          30.58,  +4.95,  +4.14
  1,     UK000T,       0,  0.041268, 2459442.621085156221,  19.46095,  10.58070,              158.38535,  47.37286,       158.38548,       47.37292,     19.46095,     +10.58070,      19.46102,      +10.58075,  4099242.19,   377217.42,  4993641.69,      50.684844,       -3.059368,  106241.86,  143353.01,    2953.49,             2947.71,   323.59,  71568.61,           58028.60,     -0.18,     -0.21,           0.40,  +2.24,  +1.46
  2,     UK000T,       0,  0.082172, 2459442.621085629333,  19.17421,   9.96140,              158.99800,  46.83504,       158.99510,       46.83354,     19.17421,      +9.96140,      19.17686,       +9.96039,  4098624.44,   376274.81,  4991908.19,      50.679930,       -3.071817,  104456.24,  142160.49,    5021.14,             5015.35,    33.03,  50548.77,           58028.60,      4.04,      4.66,           8.95,  +1.03,  +0.27
  3,     UK000T,       0,  0.123168, 2459442.621086103842,  18.87093,   9.27840,              159.64319,  46.23594,       159.64868,       46.23875,     18.87093,      +9.27840,      18.86706,       +9.28031,  4097959.09,   375259.58,  4990041.13,      50.674633,       -3.085218,  102533.23,  140899.11,    7248.09,             7242.30,  -103.54,  54321.12,           58028.60,     -7.62,     -8.78,          17.01,  +0.72,  -0.02
  4,     UK000T,       0,  0.164288, 2459442.621086579747,  18.51919,   8.50964,              160.36887,  45.56013,       160.37071,       45.56107,     18.51919,      +8.50964,      18.51840,       +8.51028,  4097220.03,   374131.87,  4987967.21,      50.668743,       -3.100090,  100397.38,  139526.77,    9721.77,             9715.98,    -0.53,  60157.54,           57834.96,     -2.55,     -2.94,           5.74,  +0.72,  -0.00
  5,     UK000T,       0,  0.205344, 2459442.621087055188,  18.19181,   7.78385,              161.03335,  44.91758,       161.03557,       44.91871,     18.19181,      +7.78385,      18.19088,       +7.78463,  4096536.73,   373089.25,  4986049.79,      50.663293,       -3.113859,   98422.89,  138285.19,   12008.78,            12003.00,   -80.49,  55704.81,           57475.28,     -3.06,     -3.53,           6.97,  +0.67,  -0.03
  6,     UK000T,       0,  0.246216, 2459442.621087528300,  17.91815,   7.18503,              161.57642,  44.38564,       161.57525,       44.38506,     17.91815,      +7.18503,      17.92012,       +7.18462,  4095980.93,   372241.16,  4984490.12,      50.658855,       -3.125093,   96816.92,  137294.69,   13869.09,            13863.31,  -576.55,  45515.53,           56071.45,      1.60,      1.84,           3.66,  +1.89,  +1.20
  0,     UK0022,       1,  0.081435, 2459442.621085620951, 311.77599,   9.91629,              248.20896,  28.80040,       248.20904,       28.80040,    311.77599,      +9.91629,     311.77627,       +9.91633,  4096614.31,   373207.62,  4986267.49,      50.663912,       -3.111797,   98647.22,  199683.46,       0.00,            11743.34,  6803.49,      0.00,           58779.90,      0.08,     -0.22,           0.25,  +2.47,  +0.97
  1,     UK0022,       1,  0.121987, 2459442.621086090337, 311.38970,   9.36028,              248.18621,  28.12677,       248.15251,       28.12903,    311.38970,      +9.36028,     311.41591,       +9.34462,  4095914.87,   372140.38,  4984304.77,      50.658328,       -3.125889,   96626.30,  199693.84,    2341.05,            14084.38,  6806.61,  57729.49,           58779.90,    -35.44,     97.66,         107.31,  +1.74,  +0.24
  2,     UK0022,       1,  0.162635, 2459442.621086560655, 310.98990,   8.69085,              248.10223,  27.35313,       248.08787,       27.35409,    310.98990,      +8.69085,     311.00160,       +8.68414,  4095107.09,   370907.80,  4982038.00,      50.651873,       -3.142145,   94292.59,  199738.62,    5044.74,            16788.08,  7166.86,  66514.92,           58779.90,    -15.20,     41.92,          46.05,  +1.58,  +0.08
  3,     UK0022,       1,  0.203107, 2459442.621087029111, 310.66521,   8.21283,              248.07915,  26.77761,       248.04102,       26.78017,    310.66521,      +8.21283,     310.69544,       +8.19495,  4094508.96,   369995.13,  4980359.56,      50.647089,       -3.154230,   92564.73,  199797.93,    7046.72,            18790.06,  6835.52,  49465.66,           58779.90,    -40.62,    111.89,         122.89,  +2.22,  +0.72
  0,     UK003C,       1,  0.090082, 2459442.621085721068,  82.95708,  39.53105,               68.41552,  35.33434,        68.48884,       35.35013,     82.95708,     +39.53105,      82.89233,      +39.49497,  4098660.71,   376330.16,  4992009.98,      50.680219,       -3.071129,  104561.08,  177823.77,       0.00,             4893.94,  -544.41,      0.00,           64888.60,   -113.96,    154.49,         222.68,  +2.30,  +1.05
  1,     UK003C,       1,  0.130410, 2459442.621086187661,  83.18613,  39.21537,               68.57468,  34.99659,        68.60094,       35.00227,     83.18613,     +39.21537,      83.16328,      +39.20247,  4097858.19,   375105.61,  4989757.97,      50.673829,       -3.087255,  102241.60,  175371.46,    2686.09,             7580.04,  -183.33,  66606.16,           64888.60,    -40.51,     54.73,          80.09,  +1.16,  -0.06
  2,     UK003C,       1,  0.170694, 2459442.621086654253,  83.45509,  38.98721,               68.62506,  34.69013,        68.69568,       34.70534,     83.45509,     +38.98721,      83.39285,      +38.95248,  4097189.80,   374085.75,  4987882.40,      50.668502,       -3.100719,  100310.03,  173332.92,    4923.20,             9817.14,  -268.69,  55533.40,           64888.60,   -107.80,    146.11,         216.07,  +0.94,  -0.25
  3,     UK003C,       1,  0.211090, 2459442.621087121777,  83.76182,  38.62737,               68.77221,  34.27552,        68.82814,       34.28758,     83.76182,     +38.62737,      83.71271,      +38.59988,  4096277.30,   372693.38,  4985321.78,      50.661222,       -3.119047,   97673.28,  170561.44,    7977.40,            12871.34,   456.58,  75606.41,           64888.60,    -84.47,    114.37,         171.94,  +0.80,  -0.36
  4,     UK003C,       1,  0.251378, 2459442.621087587904,  84.03186,  38.39150,               68.82417,  33.96178,        68.92355,       33.98310,     84.03186,     +38.39150,      83.94404,      +38.34260,  4095629.22,   371704.50,  4983503.17,      50.656046,       -3.132118,   95800.79,  168596.44,   10146.55,            15040.50,   303.04,  53841.25,           63443.18,   -148.51,    201.73,         306.47,  +3.05,  +1.92
  0,     UK003E,       0,  0.068351, 2459442.621085468680, 330.19890,  12.67662,              230.46435,  41.47929,       230.46173,       41.47914,    330.19890,     +12.67662,     330.20086,      +12.67553,  4098912.23,   376713.94,  4992715.77,      50.682220,       -3.066039,  105288.07,  157157.15,       0.00,             4052.11,  -133.38,      0.00,           59587.62,     -0.58,      5.36,           7.08,  +1.47,  +0.49
  1,     UK003E,       0,  0.109115, 2459442.621085940860, 329.68561,  11.94168,              230.56196,  40.59261,       230.55279,       40.59209,    329.68561,     +11.94168,     329.69200,      +11.93780,  4098170.07,   375581.50,  4990633.15,      50.676313,       -3.080964,  103142.97,  156646.61,    2484.05,             6536.16,     0.53,  60937.45,           59587.62,     -2.05,     19.00,          25.16,  +0.83,  -0.14
  2,     UK003E,       0,  0.149879, 2459442.621086412575, 329.19045,  11.20835,              230.64162,  39.71546,       230.64049,       39.71540,    329.19045,     +11.20835,     329.19181,      +11.20786,  4097441.21,   374469.36,  4988587.87,      50.670506,       -3.095630,  101036.55,  156182.33,    4923.58,             8975.69,    89.91,  59845.09,           59587.62,     -0.25,      2.36,           3.13,  +0.62,  -0.35
  3,     UK003E,       0,  0.190631, 2459442.621086884290, 328.71669,  10.49073,              230.70892,  38.86180,       230.72380,       38.86263,    328.71669,     +10.49073,     328.70765,      +10.49715,  4096736.32,   373393.79,  4986609.85,      50.664885,       -3.109825,   98999.60,  155768.71,    7282.87,            11334.98,    99.75,  57893.85,           59587.62,      3.39,    -31.39,          41.81,  +0.44,  -0.52
  4,     UK003E,       0,  0.231215, 2459442.621087354142, 328.33599,   9.94501,              230.78324,  38.20240,       230.78769,       38.20265,    328.33599,      +9.94501,     328.33398,       +9.94695,  4096193.69,   372565.81,  4985087.16,      50.660554,       -3.120795,   97431.67,  155475.67,    9099.07,            13151.17,  -423.81,  44751.52,           56472.48,      1.02,     -9.47,          12.64,  +1.72,  +0.76

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.