Orbital Analysis for matched events on 20210810_004356.808_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 69.20° Bg 37.58° Vg 66.72km/s
mass 0.18915g, abs. mag -2.7
Path Details
------------
start -0.25° 54.50° 106.59km
end   -0.45° 54.39° 88.86km

Orbit Details
-------------
Semimajor axis -1.33A.U., eccentricity 1.67, inclination 115.81°, Period 1000000000.00Y, LA Sun 137.34°, 

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: 2459436.530518621206
Time: 2021-08-10 00:43:56.849146 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK001L
 Convergence angle = 6.34737 deg
 R.A. =  53.51110  Dec = +57.69038 deg

Best intersection: Stations UK000C and UK001L with Qconv = 6.35 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3251057.95 +/- 451.91 m
 Y =  -1916729.54 +/- 607.33 m
 Z =   5258327.03 +/- 1115.81 m
 Vx =    18929.22 +/- 3716.67 m/s
 Vy =    29329.48 +/- 1782.72 m/s
 Vz =    57928.15 +/- 3256.13 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.700144e+04, -7.593124e+04, -1.371351e+05, +1.781474e+05, -1.699522e+05, -2.904385e+05
-7.593124e+04, +1.056196e+05, +1.910736e+05, -2.554853e+05, +2.375959e+05, +4.063964e+05
-1.371351e+05, +1.910736e+05, +3.529656e+05, -4.895510e+05, +4.449255e+05, +7.899042e+05
+1.781474e+05, -2.554853e+05, -4.895510e+05, +9.947354e+05, -8.527955e+05, -1.614008e+06
-1.699522e+05, +2.375959e+05, +4.449255e+05, -8.527955e+05, +7.941728e+05, +1.464631e+06
-2.904385e+05, +4.063964e+05, +7.899042e+05, -1.614008e+06, +1.464631e+06, +2.814148e+06

Timing offsets (from input data):
    UK000C: 0.000580 s
    UK001L: 0.000000 s
    UK002F: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 00:43:56.849146 UTC
  Lon     = +-0.232518 +/- 0.0045 deg
  Lat     = +54.511202 +/- 0.0107 deg
  Lat geo = +54.332140 +/- 0.0108 deg
  Ht      =  108452.25 +/- 505.92 m

  JD dynamic   = 2459436.531319828238 
  LST apparent = 329.4776308616 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  57.16184 +/- 4.0115 deg
  Dec       = +58.92683 +/- 1.5881 deg
  Azimuth   =  47.03855 +/- 3.7770 deg
  Elevation = +45.19441 +/- 1.0516 deg
  Vavg      =  66.65130 +/- 2.6914 km/s
  Vinit     =  67.63287 +/- 2.5631 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  57.17995 +/- 4.0115 deg
  Dec       = +58.72772 +/- 1.5881 deg
  Azimuth   =  47.26307 +/- 3.7770 deg
  Elevation = +45.07339 +/- 1.0516 deg
  Vavg      =  66.79364 +/- 2.6914 km/s
  Vinit     =  67.77520 +/- 2.5631 km/s
Radiant (geocentric, J2000):
  R.A.   =  57.23220 +/- 3.9828 deg
  Dec    = +58.67837 +/- 1.6031 deg
  Vg     =  66.71612 +/- 2.6065 km/s
  Vinf   =  67.63287 +/- 2.5631 km/s
  Zc     =  44.92778 +/- 1.0611 deg
  Zg     =  45.25108 +/- 1.0399 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  69.20415 +/- 3.2827 deg
  Bg     = +37.58337 +/- 0.7798 deg
  Vh     =  49.18957 +/- 3.1335 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  91.94154 +/- 5.7781 deg
  Bh     = +55.81773 +/- 1.3834 deg
  Vh_x   =   0.93630 +/- 1.6982 km/s
  Vh_y   = -27.62018 +/- 2.7319 km/s
  Vh_z   = -40.69229 +/- 2.1771 km/s
Orbit:
  La Sun = 137.338418 +/- 0.0000 deg
  a      =  -1.325241 +/- 49.1391 AU
  e      =   1.669120 +/- 0.2719
  i      = 115.805498 +/- 0.3669 deg
  peri   = 143.094560 +/- 1.6481 deg
  node   = 137.337567 +/- 0.0000 deg
  Pi     = 280.432126 +/- 1.6480 deg
  q      =   0.886745 +/- 0.0194 AU
  f      =  36.901373 +/- 1.6481 deg
  M      =        nan +/- nan deg
  Q      =  -3.537227 +/- 98.2760 AU
  n      =   0.646044 +/- 0.1529 deg/day
  T      = 1000000000.000000 +/- 475311987.5760 years
  Last perihelion JD = NaN 
  Tj     =  -4.514172 +/- 1.5589
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.926876e-02, -1.554627e-03, +9.552990e-02, +3.456854e-08, -1.856868e-03, -4.357918e-04
q   , -1.554627e-03, +1.439835e-04, -4.539998e-03, -3.378557e-09, +2.329958e-04, +4.258413e-05
Tp  , +9.552990e-02, -4.539998e-03, +1.043709e+00, +5.275654e-08, +5.465810e-03, -6.661368e-04
node, +3.456854e-08, -3.378557e-09, +5.275654e-08, +2.047889e-13, -6.206687e-09, -2.583769e-09
peri, -1.856868e-03, +2.329958e-04, +5.465810e-03, -6.206687e-09, +5.597023e-04, +7.821078e-05
i   , -4.357918e-04, +4.258413e-05, -6.661368e-04, -2.583769e-09, +7.821078e-05, +3.259908e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000432
 a2 = 33.546164

Mean time residuals from time vs. length:
  Station with reference time: UK001L
  Avg. res. = 1.776e-06 s
  Stddev    = 1.33e-03 s

Begin point on the trajectory:
  Lon =    -0.253112 +/- 0.0038 deg
  Lat =    54.500039 +/- 0.0094 deg
  Ht  = 106586.28 +/- 430.05 m
End point on the trajectory:
  Lon =    -0.450662 +/- 0.0007 deg
  Lat =    54.393317 +/- 0.0047 deg
  Ht  = 88856.57 +/- 139.31 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,   0.000000,  63.006603,   102005.66,    88856.57,          0.010602,     61.64,     30.16,              49.08, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20210810_004356_402_0399360.fits"}
    UK001L,   False,    -1.306160,    51.883100,   80.00,   6.145905,   8.370751,   106586.28,    89354.24,          0.010274,     53.15,     18.69,              41.40, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210810_004351_782_0380928.fits"}
    UK002F,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   110436.30,    95906.37,          0.125846,       nan,       nan,              41.40, 0.0000,    True,   False, {"ff_name": "FF_UK002F_20210810_004350_211_0374016.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,       1,  0.055017, 2459436.530519251246, 141.13070,  53.02870,                4.86810,  14.50050,         4.79336,       14.56641,    141.13070,     +53.02870,     141.24123,      +53.10070,  3249998.63, -1918370.89,  5255085.23,      54.495135,       -0.262211,  105767.29,  379011.22,       0.00,             3784.89,    23.14,      0.00,           67283.26,   -282.87,   -582.34,         352.33,  +4.27,  +1.38
  1,     UK000C,       0,  0.135109, 2459436.530520178378, 141.94973,  52.72772,                4.38571,  14.15923,         4.39695,       14.14929,    141.94973,     +52.72772,     141.93364,      +52.71695,  3248513.80, -1920671.53,  5250541.27,      54.472580,       -0.304085,  102005.66,  375224.33,    5305.21,             9090.10,   -88.51,  66238.90,           67283.26,     42.47,     86.80,          53.12,  +1.27,  -1.60
  2,     UK000C,       0,  0.175221, 2459436.530520642642, 142.30948,  52.50816,                4.17866,  13.92351,         4.18123,       13.92123,    142.30948,     +52.50816,     142.30639,      +52.50570,  3247715.38, -1921908.62,  5248097.93,      54.460435,       -0.326590,   99983.85,  373203.56,    8157.89,            11942.78,    51.29,  71117.99,           67283.26,      9.67,     19.77,          12.16,  +1.07,  -1.79
  3,     UK000C,       0,  0.215297, 2459436.530521106441, 142.66278,  52.32350,                3.97120,  13.72363,         3.98400,       13.71234,    142.66278,     +52.32350,     142.64469,      +52.31135,  3246992.11, -1923029.28,  5245884.53,      54.449422,       -0.346993,   98152.84,  371382.39,   10742.10,            14526.99,   -74.96,  64482.63,           67283.26,     47.87,     97.80,          60.48,  +0.94,  -1.91
  4,     UK000C,       0,  0.255421, 2459436.530521570705, 142.99456,  52.08928,                3.77914,  13.47594,         3.76951,       13.48442,    142.99456,     +52.08928,     143.00991,      +52.09837,  3246211.57, -1924238.67,  5243495.88,      54.437528,       -0.368999,   96177.43,  369427.40,   13530.91,            17315.81,     0.15,  69504.93,           67509.43,    -35.76,    -73.18,          45.47,  +0.70,  -2.14
  5,     UK000C,       0,  0.295493, 2459436.530522034504, 143.36386,  51.90681,                3.55812,  13.27907,         3.56826,       13.27013,    143.36386,     +51.90681,     143.35004,      +51.89727,  3245485.72, -1925363.32,  5241274.60,      54.426456,       -0.389475,   94340.94,  367619.06,   16124.32,            19909.22,  -116.62,  64718.78,           67272.73,     37.56,     76.74,          47.94,  +0.66,  -2.17
  6,     UK000C,       0,  0.335605, 2459436.530522498768, 143.73040,  51.67195,                3.34039,  13.03084,         3.34255,       13.02895,    143.73040,     +51.67195,     143.72860,      +51.66993,  3244677.82, -1926615.09,  5238802.24,      54.414122,       -0.412248,   92297.47,  365617.62,   19010.88,            22795.78,    57.05,  71962.52,           67597.23,      7.93,     16.22,          10.19,  +0.59,  -2.23
  7,     UK000C,       0,  0.375705, 2459436.530522963032, 144.06320,  51.45744,                3.14101,  12.80490,         3.13675,       12.80865,    144.06320,     +51.45744,     144.07109,      +51.46140,  3243948.08, -1927745.78,  5236569.04,      54.402970,       -0.432834,   90452.20,  363820.01,   21618.22,            25403.11,   -47.70,  65020.76,           67559.94,    -15.60,    -31.90,          20.13,  +0.67,  -2.13
  8,     UK000C,       0,  0.415785, 2459436.530523426831, 144.36229,  51.27617,                2.95978,  12.61393,         2.95717,       12.61622,    144.36229,     +51.27617,     144.36789,      +51.27858,  3243316.91, -1928723.73,  5234637.50,      54.393317,       -0.450662,   88856.57,  362273.16,   23873.34,            27658.24,  -503.29,  56265.63,           66867.34,     -9.51,    -19.44,          12.32,  +1.65,  -1.15
  0,     UK001L,       1,  0.000000, 2459436.530518621206, 126.14834,  54.87200,               13.27328,  18.34517,        13.35492,       18.27914,    126.14834,     +54.87200,     126.04623,      +54.78888,  3251050.48, -1916741.12,  5258304.15,      54.511088,       -0.232559,  108433.28,  322408.72,       0.00,               26.71,   -14.11,      0.00,           68620.14,    191.72,    539.92,         366.55,  +3.57,  +1.03
  1,     UK001L,       0,  0.040264, 2459436.530519087333, 126.41685,  54.61364,               13.18162,  18.05674,        13.16578,       18.06947,    126.41685,     +54.61364,     126.43691,      +54.62966,  3250321.80, -1917870.16,  5256074.21,      54.500039,       -0.253112,  106586.28,  320308.84,    2603.51,             2630.23,  -133.76,  64661.08,           68620.14,    -36.53,   -104.04,          71.00,  +1.88,  -0.65
  2,     UK001L,       0,  0.080488, 2459436.530519552995, 126.82178,  54.46036,               12.98074,  17.85139,        12.97433,       17.85654,    126.82178,     +54.46036,     126.83019,      +54.46681,  3249592.04, -1919000.86,  5253840.98,      54.488963,       -0.273695,  104737.05,  318213.41,    5210.88,             5237.59,  -246.86,  64821.17,           68620.14,    -14.70,    -41.82,          28.73,  +1.05,  -1.46
  3,     UK001L,       0,  0.120768, 2459436.530520019121, 127.29315,  54.25876,               12.75045,  17.59070,        12.74240,       17.59716,    127.29315,     +54.25876,     127.30384,      +54.26683,  3248716.83, -1920356.95,  5251162.59,      54.475666,       -0.298348,  102519.89,  315710.97,    8337.98,             8364.69,   155.98,  77634.03,           68620.14,    -18.33,    -52.13,          36.10,  +0.26,  -2.24
  4,     UK001L,       0,  0.160996, 2459436.530520484783, 127.70709,  54.10917,               12.53956,  17.38922,        12.54957,       17.38117,    127.70709,     +54.10917,     127.69503,      +54.09916,  3247999.04, -1921469.11,  5248965.99,      54.464751,       -0.318597,  100702.09,  313666.68,   10902.58,            10929.29,    -0.15,  63751.58,           68422.39,     22.72,     64.49,          44.96,  +0.15,  -2.33
  5,     UK001L,       0,  0.201256, 2459436.530520950444, 128.12840,  53.91387,               12.33329,  17.14297,        12.33595,       17.14084,    128.12840,     +53.91387,     128.12585,      +53.91123,  3247211.92, -1922688.69,  5246557.22,      54.452770,       -0.340787,   98709.27,  311434.13,   13714.89,            13741.60,    89.26,  69853.78,           68570.42,      5.98,     16.98,          11.92,  -0.06,  -2.53
  6,     UK001L,       0,  0.241504, 2459436.530521416571, 128.54232,  53.73518,               12.12552,  16.91460,        12.13131,       16.90996,    128.54232,     +53.73518,     128.53591,      +53.72944,  3246466.88, -1923843.08,  5244277.20,      54.441420,       -0.361800,   96823.51,  309329.59,   16376.89,            16403.60,    29.17,  66139.89,           68362.88,     12.97,     36.81,          26.03,  -0.06,  -2.51
  7,     UK001L,       0,  0.281756, 2459436.530521882232, 128.93210,  53.53784,               11.93460,  16.67182,        11.92658,       16.67823,    128.93210,     +53.53784,     128.94358,      +53.54576,  3245729.77, -1924985.17,  5242021.47,      54.430180,       -0.382591,   94958.37,  307256.05,   19010.52,            19037.23,   -59.56,  65428.53,           68031.86,    -17.81,    -50.62,          36.02,  -0.26,  -2.70
  8,     UK001L,       0,  0.322008, 2459436.530522348359, 129.37340,  53.36202,               11.70562,  16.44420,        11.71439,       16.43719,    129.37340,     +53.36202,     129.36344,      +53.35339,  3244974.10, -1926156.04,  5239708.91,      54.418646,       -0.403903,   93046.78,  305139.41,   21710.50,            21737.21,   -81.93,  67076.91,           67813.73,     19.40,     55.03,          39.44,  -0.34,  -2.76
  9,     UK001L,       0,  0.362264, 2459436.530522814021, 129.78060,  53.16846,               11.49923,  16.20431,        11.50557,       16.19924,    129.78060,     +53.16846,     129.77391,      +53.16225,  3244238.90, -1927295.18,  5237459.02,      54.407415,       -0.424643,   91187.51,  303089.06,   24337.32,            24364.03,  -177.74,  65252.85,           67562.97,     13.92,     39.51,          28.51,  -0.40,  -2.81
 10,     UK001L,       0,  0.402520, 2459436.530523280147, 130.17949,  52.97021,               11.29688,  15.96153,        11.29731,       15.96119,    130.17949,     +52.97021,     130.18062,      +52.96980,  3243513.78, -1928418.70,  5235239.98,      54.396329,       -0.445101,   89354.24,  301075.67,   26928.11,            26954.83,  -309.58,  64358.04,           67280.49,      0.94,      2.65,           1.93,  -0.28,  -2.67
 11,     UK001L,       1,  0.442800, 2459436.530523746274, 130.65446,  52.76945,               11.04612,  15.70794,        11.06418,       15.69352,    130.65446,     +52.76945,     130.63280,      +52.75191,  3242710.61, -1929663.15,  5232782.08,      54.384037,       -0.467743,   87324.24,  298856.29,   29797.78,            29824.49,  -164.16,  71242.98,           67270.05,     39.22,    111.09,          81.31,  +5.33,  +2.95
  0,     UK002F,       1, -0.052077, 2459436.530518018641, 125.50600,  54.86090,               13.65340,  18.42673,        13.55813,       18.50313,    125.50600,     +54.86090,     125.62431,      +54.95765,  3251840.48, -1915517.07,  5260721.76,      54.523057,       -0.210243,  110436.30,  324694.21,       0.00,             2795.92,  6277.21,     -0.00,           66499.91,   -220.23,   -633.42,         426.01,  +2.36,  -0.20
  1,     UK002F,       1, -0.011985, 2459436.530518482439, 125.93479,  54.73086,               13.43566,  18.23886,        13.36805,       18.29312,    125.93479,     +54.73086,     126.01923,      +54.79935,  3251099.57, -1916665.06,  5258454.39,      54.511833,       -0.231136,  108557.75,  322551.05,    2647.22,              148.70,   918.45,  66028.60,           66499.91,   -155.89,   -446.80,         302.61,  +2.17,  -0.37
  2,     UK002F,       1,  0.028171, 2459436.530518947169, 126.27869,  54.53388,               13.28375,  17.99890,        13.17856,       18.08309,    126.27869,     +54.53388,     126.41079,      +54.63991,  3250368.95, -1917797.11,  5256218.50,      54.500754,       -0.251742,  106705.78,  320445.08,    5257.69,             2461.77,   515.66,  65008.24,           66499.91,   -239.97,   -690.68,         470.65,  +0.94,  -1.59
  3,     UK002F,       1,  0.068287, 2459436.530519411433, 126.70673,  54.37095,               13.07147,  17.78059,        12.97563,       17.85726,    126.70673,     +54.37095,     126.82777,      +54.46721,  3249594.66, -1918996.81,  5253848.98,      54.489002,       -0.273570,  104743.69,  318221.66,    8024.17,             5228.25,   568.97,  68961.94,           66499.91,   -217.50,   -625.16,         429.04,  +0.71,  -1.80
  4,     UK002F,       1,  0.108399, 2459436.530519875698, 127.10915,  54.21377,               12.87117,  17.57214,        12.78318,       17.64251,    127.10915,     +54.21377,     127.22090,      +54.30185,  3248868.87, -1920121.37,  5251627.89,      54.477977,       -0.294042,  102905.01,  316145.22,   10617.37,             7821.45,   449.28,  64649.00,           66326.24,   -198.69,   -570.46,         394.12,  +0.40,  -2.10
  5,     UK002F,       1,  0.148543, 2459436.530520340428, 127.48396,  54.02294,               12.69384,  17.33538,        12.58587,       17.42158,    127.48396,     +54.02294,     127.62167,      +54.13055,  3248132.62, -1921262.14,  5249374.77,      54.466783,       -0.314808,  101040.34,  314046.83,   13247.95,            10452.03,   364.81,  65528.63,           66162.60,   -241.75,   -695.53,         483.63,  +0.63,  -1.85
  6,     UK002F,       1,  0.188651, 2459436.530520804692, 127.81447,  53.87649,               12.53071,  17.14827,        12.42046,       17.23623,    127.81447,     +53.87649,     127.95568,      +53.98602,  3247522.85, -1922206.93,  5247508.72,      54.457504,       -0.332035,   99496.38,  312314.69,   15426.62,            12630.70,  -169.14,  54320.02,           64835.88,   -245.57,   -706.53,         494.00,  +0.38,  -2.09
  7,     UK002F,       1,  0.228771, 2459436.530521268956, 128.24419,  53.70358,               12.31265,  16.92272,        12.21288,       17.00229,    128.24419,     +53.70358,     128.37269,      +53.80233,  3246763.50, -1923383.48,  5245184.94,      54.445940,       -0.353448,   97574.22,  310166.23,   18139.70,            15343.78,  -169.49,  67624.21,           64515.37,   -221.11,   -635.24,         447.30,  +0.13,  -2.33
  8,     UK002F,       1,  0.268915, 2459436.530521733686, 128.57002,  53.51244,               12.15971,  16.69366,        12.03053,       16.79647,    128.57002,     +53.51244,     128.73676,      +53.63972,  3246104.46, -1924404.63,  5243168.10,      54.435894,       -0.372054,   95906.37,  308308.54,   20494.42,            17698.51,  -529.82,  58656.96,           63975.01,   -283.72,   -817.66,         579.03,  +0.39,  -2.05

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.