Orbital Analysis for matched events on 20210810_022404.920_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 60.48° Bg 36.57° Vg 57.52km/s
mass 0.02028g, abs. mag -0.8
Path Details
------------
start -0.66° 53.70° 108.75km
end   -0.80° 53.66° 90.84km

Orbit Details
-------------
Semimajor axis 3.88A.U., eccentricity 0.76, inclination 114.48°, Period 7.65Y, LA Sun 137.41°, 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: 2459436.600056950003
Time: 2021-08-10 02:24:04.960754 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK0026
 Convergence angle = 52.12745 deg
 R.A. =  45.27668  Dec = +56.70325 deg
Intersection 2 - Stations: UK001L and UK002F
 Convergence angle = 1.61920 deg
 R.A. = 147.15562  Dec = +64.13494 deg
Intersection 3 - Stations: UK0026 and UK002F
 Convergence angle = 53.27423 deg
 R.A. =  44.56171  Dec = +58.08775 deg

Best intersection: Stations UK0026 and UK002F with Qconv = 53.27 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3829772.94 +/- 33.04 m
 Y =   -391265.77 +/- 75.86 m
 Z =   5206363.20 +/- 215.25 m
 Vx =    23108.05 +/- 507.99 m/s
 Vy =    23554.56 +/- 727.27 m/s
 Vz =    48407.22 +/- 804.14 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.284287e+03, +1.300610e+03, -3.357737e+03, +4.000071e+03, +4.140417e+03, -1.164597e+04
+1.300610e+03, +5.172132e+03, -1.310796e+04, +6.331265e+03, +2.061724e+04, -5.167836e+04
-3.357737e+03, -1.310796e+04, +4.106322e+04, -2.219110e+04, -5.629748e+04, +1.527171e+05
+4.000071e+03, +6.331265e+03, -2.219110e+04, +2.282168e+04, +2.792194e+04, -7.292490e+04
+4.140417e+03, +2.061724e+04, -5.629748e+04, +2.792194e+04, +8.989844e+04, -2.182305e+05
-1.164597e+04, -5.167836e+04, +1.527171e+05, -7.292490e+04, -2.182305e+05, +5.872646e+05

Timing offsets (from input data):
    UK001L: -0.000161 s
    UK0026: 0.000000 s
    UK0027: 0.000000 s
    UK002F: -0.000402 s

Reference point on the trajectory:
  Time: 2021-08-10 02:24:04.960754 UTC
  Lon     = +-0.645826 +/- 0.0011 deg
  Lat     = +53.700562 +/- 0.0012 deg
  Lat geo = +53.519905 +/- 0.0012 deg
  Ht      =  110730.60 +/- 169.68 m

  JD dynamic   = 2459436.600858157035 
  LST apparent = 354.1666603274 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  45.54824 +/- 0.3396 deg
  Dec       = +55.71956 +/- 0.6562 deg
  Azimuth   =  64.93136 +/- 1.2486 deg
  Elevation = +60.93251 +/- 0.3308 deg
  Vavg      =  58.20167 +/- 0.4725 km/s
  Vinit     =  58.58377 +/- 0.5322 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  45.85046 +/- 0.3396 deg
  Dec       = +55.54231 +/- 0.6562 deg
  Azimuth   =  65.16867 +/- 1.2486 deg
  Elevation = +60.71540 +/- 0.3308 deg
  Vavg      =  58.32575 +/- 0.4725 km/s
  Vinit     =  58.70785 +/- 0.5322 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.60522 +/- 0.3448 deg
  Dec    = +55.55314 +/- 0.6635 deg
  Vg     =  57.52342 +/- 0.5417 km/s
  Vinf   =  58.58377 +/- 0.5322 km/s
  Zc     =  29.14445 +/- 0.3275 deg
  Zg     =  29.41650 +/- 0.3351 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  60.47874 +/- 0.1696 deg
  Bg     = +36.57339 +/- 0.6760 deg
  Vh     =  39.01064 +/- 0.7894 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  80.47704 +/- 0.4217 deg
  Bh     = +61.47945 +/- 0.5388 deg
  Vh_x   =  -3.08163 +/- 0.1336 km/s
  Vh_y   = -18.36988 +/- 0.0929 km/s
  Vh_z   = -34.27654 +/- 0.8715 km/s
Orbit:
  La Sun = 137.405133 +/- nan deg
  a      =   3.884095 +/- 2374.6144 AU
  e      =   0.759557 +/- 0.0674
  i      = 114.483484 +/- 0.5466 deg
  peri   = 144.840291 +/- 1.7244 deg
  node   = 137.405027 +/- 0.0000 deg
  Pi     = 282.245318 +/- 1.7244 deg
  q      =   0.933903 +/- 0.0047 AU
  f      =  35.155957 +/- 1.7244 deg
  M      =   3.303673 +/- nan deg
  Q      =   6.834287 +/- 4749.2311 AU
  n      =   0.128757 +/- 0.0364 deg/day
  T      =   7.654827 +/- 249443808.2700 years
  Last perihelion JD = 2459410.942566 (2021-07-15 10:37:17.724602) +/- 1.4137 days
  Tj     =   0.874140 +/- 0.3746
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.998046e-03, +2.615885e-04, +9.118358e-02, +3.874217e-08, +1.757921e-03, -5.490635e-04
q   , +2.615885e-04, +1.866483e-05, +6.165762e-03, +2.518401e-09, +1.208854e-04, -3.569805e-05
Tp  , +9.118358e-02, +6.165762e-03, +2.109787e+00, +8.932963e-07, +4.091318e-02, -1.265760e-02
node, +3.874217e-08, +2.518401e-09, +8.932963e-07, +4.283991e-13, +1.714504e-08, -6.058562e-09
peri, +1.757921e-03, +1.208854e-04, +4.091318e-02, +1.714504e-08, +7.960906e-04, -2.429612e-04
i   , -5.490635e-04, -3.569805e-05, -1.265760e-02, -6.058562e-09, -2.429612e-04, +8.568502e-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: UK0026
  Avg. res. = 2.082e-06 s
  Stddev    = 1.44e-03 s

Begin point on the trajectory:
  Lon =    -0.660647 +/- 0.0009 deg
  Lat =    53.696447 +/- 0.0010 deg
  Ht  = 108753.28 +/- 152.29 m
End point on the trajectory:
  Lon =    -0.796728 +/- 0.0007 deg
  Lat =    53.658963 +/- 0.0007 deg
  Ht  = 90844.78 +/- 88.37 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   103886.29,    91498.10,          0.030205,    103.75,     60.15,              44.85, 0.4974,    True,    True, {"ff_name": "FF_UK001L_20210810_022405_547_0530176.fits"}
    UK0026,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   108753.28,    90844.78,          0.015235,      6.52,     35.62,              45.05, 0.5008,    True,    True, {"ff_name": "FF_UK0026_20210810_022401_674_0547328.fits"}
    UK0027,    True,    -2.374601,    51.371449,   48.00,   6.485686,   0.000000,   105395.36,    96982.67,          0.138457,       nan,       nan,              46.05, 0.0000,    True,   False, {"ff_name": "FF_UK0027_20210810_022400_596_0542464.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   104768.49,    98481.83,          0.041447,    142.64,     82.38,              44.85, 0.4974,    True,    True, {"ff_name": "FF_UK002F_20210810_022405_543_0520192.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,     UK001L,       0,  0.134311, 2459436.600058506243, 151.05972,  62.54613,               11.27459,  25.79355,        11.32292,       25.76703,    151.05972,     +62.54613,     150.98431,      +62.50913,  3826683.81,  -394414.59,  5199892.02,      53.686298,       -0.697551,  103886.29,  231101.38,       0.00,             7831.60,   345.03,      0.00,           55653.19,    103.23,    177.78,         183.48,  +3.06,  +1.24
  1,     UK001L,       0,  0.174643, 2459436.600058973301, 151.64564,  62.26944,               11.06303,  25.45618,        11.09756,       25.43726,    151.64564,     +62.26944,     151.59195,      +62.24319,  3825867.26,  -395246.92,  5198181.50,      53.682520,       -0.711300,  102077.47,  229730.43,    2070.12,             9901.72,    52.35,  51327.05,           55653.19,     73.41,    126.50,         131.31,  +0.81,  -1.00
  2,     UK001L,       0,  0.215023, 2459436.600059440359, 152.28133,  61.94670,               10.83413,  25.06922,        10.84437,       25.06362,    152.28133,     +61.94670,     152.26606,      +61.93899,  3824954.75,  -396177.06,  5196269.96,      53.678292,       -0.726651,  100056.26,  228211.19,    4383.52,            12215.12,     0.14,  57290.65,           55653.19,     21.65,     37.35,          39.01,  +0.71,  -1.08
  3,     UK001L,       0,  0.255407, 2459436.600059907883, 152.94602,  61.62736,               10.58353,  24.68317,        10.58715,       24.68119,    152.94602,     +61.62736,     152.94136,      +61.62465,  3824034.21,  -397115.38,  5194341.60,      53.674023,       -0.742143,   98017.45,  226692.29,    6717.27,            14548.88,   -31.95,  57789.13,           55653.19,      7.62,     13.16,          13.83,  +1.61,  -0.17
  4,     UK001L,       0,  0.295763, 2459436.600060374942, 153.55466,  61.32648,               10.35072,  24.32245,        10.34822,       24.32382,    153.55466,     +61.32648,     153.55987,      +61.32834,  3823185.83,  -397980.16,  5192564.39,      53.670084,       -0.756439,   96138.60,  225304.74,    8868.10,            16699.70,  -245.33,  53296.29,           55450.14,     -5.25,     -9.06,           9.59,  +1.72,  -0.04
  5,     UK001L,       0,  0.336199, 2459436.600060842931, 154.27650,  60.95590,               10.07104,  23.88254,        10.06000,       23.88856,    154.27650,     +60.95590,     154.29543,      +60.96402,  3822167.67,  -399018.00,  5190431.52,      53.665352,       -0.773570,   93883.98,  223655.94,   11449.36,            19280.96,   -32.97,  63835.72,           56592.21,    -23.00,    -39.71,          42.32,  +2.33,  +0.58
  6,     UK001L,       0,  0.376675, 2459436.600061311387, 154.99566,  60.53635,                9.79644,  23.39649,         9.75266,       23.42030,    154.99566,     +60.53635,     155.06675,      +60.56818,  3821090.12,  -400116.37,  5188174.25,      53.660338,       -0.791699,   91498.10,  221930.57,   14181.18,            22012.78,   327.61,  67492.31,           58170.87,    -90.54,   -156.59,         168.11,  +1.76,  +0.03
  0,     UK0026,       1,  0.000000, 2459436.600056950003, 266.66402,  72.98132,              332.75205,  50.28830,       332.77424,       50.27615,    266.66402,     +72.98132,     266.60861,      +72.99058,  3829744.99,  -391294.26,  5206304.65,      53.700433,       -0.646122,  110668.66,  143043.31,       0.00,               70.87,   452.76,      0.00,           55160.61,     45.86,      8.37,          67.22,  +3.51,  +2.73
  1,     UK0026,       0,  0.040284, 2459436.600057416130, 265.42766,  72.42442,              332.14025,  49.74913,       332.10161,       49.77012,    265.42766,     +72.42442,     265.52255,      +72.40877,  3828880.59,  -392175.37,  5204493.88,      53.696447,       -0.660647,  108753.28,  141596.86,    2191.44,             2262.30,   284.21,  54399.71,           55160.61,    -79.28,    -14.55,         117.42,  +1.78,  +1.02
  2,     UK0026,       0,  0.080516, 2459436.600057881791, 264.45967,  71.81748,              331.44557,  49.24603,       331.43324,       49.25268,    264.45967,     +71.81748,     264.48961,      +71.81263,  3828020.95,  -393051.61,  5202693.10,      53.692479,       -0.675098,  106848.63,  140177.72,    4370.79,             4441.65,   106.62,  54169.62,           55160.61,    -25.11,     -4.60,          37.56,  +1.50,  +0.77
  3,     UK0026,       0,  0.120780, 2459436.600058347918, 263.45671,  71.16157,              330.72269,  48.69250,       330.72760,       48.68988,    263.45671,     +71.16157,     263.44568,      +71.16344,  3827111.84,  -393978.29,  5200788.67,      53.688278,       -0.690377,  104834.51,  138698.30,    6675.59,             6746.45,    52.60,  57242.18,           55160.61,      9.93,      1.81,          15.01,  +0.27,  -0.44
  4,     UK0026,       0,  0.161064, 2459436.600058814045, 262.44112,  70.50674,              330.04073,  48.11373,       330.03211,       48.11832,    262.44112,     +70.50674,     262.46165,      +70.50354,  3826214.56,  -394892.90,  5198909.04,      53.684127,       -0.705466,  102846.80,  137260.67,    8950.37,             9021.23,   -32.61,  56468.52,           55597.55,    -17.34,     -3.17,          26.49,  -0.09,  -0.78
  5,     UK0026,       0,  0.201360, 2459436.600059280638, 261.47278,  69.78661,              329.29882,  47.49858,       329.30014,       47.49789,    261.47278,     +69.78661,     261.47067,      +69.78708,  3825268.06,  -395857.70,  5196926.28,      53.679744,       -0.721380,  100750.22,  135768.93,   11349.96,            11420.82,     6.29,  59549.09,           56287.35,      2.62,      0.48,           4.05,  -0.30,  -0.96
  6,     UK0026,       0,  0.241664, 2459436.600059747230, 260.56017,  69.06671,              328.58292,  46.87859,       328.58839,       46.87573,    260.56017,     +69.06671,     260.54913,      +69.06862,  3824345.90,  -396797.67,  5194994.54,      53.675469,       -0.736896,   98707.77,  134341.13,   13687.81,            13758.67,   -17.02,  58005.47,           56717.87,     10.87,      1.98,          16.96,  -0.43,  -1.07
  7,     UK0026,       0,  0.281980, 2459436.600060213823, 259.66710,  68.31365,              327.85785,  46.22760,       327.86523,       46.22376,    259.66710,     +68.31365,     259.65238,      +68.31616,  3823406.49,  -397755.24,  5193026.63,      53.671109,       -0.752706,   96627.27,  132913.22,   16069.43,            16140.29,     2.74,  59073.74,           57093.73,     14.57,      2.66,          22.99,  -0.52,  -1.14
  8,     UK0026,       0,  0.322308, 2459436.600060680415, 258.82294,  67.52439,              327.11346,  45.55294,       327.13315,       45.54277,    258.82294,     +67.52439,     258.78283,      +67.53091,  3822452.67,  -398727.49,  5191028.54,      53.666677,       -0.768763,   94515.07,  131491.78,   18487.56,            18558.43,    58.31,  59961.77,           57460.53,     38.68,      7.05,          61.68,  -0.64,  -1.23
  9,     UK0026,       0,  0.362652, 2459436.600061147474, 257.99337,  66.73907,              326.40833,  44.86458,       326.41998,       44.85860,    257.99337,     +66.73907,     257.97088,      +66.74283,  3821520.74,  -399677.42,  5189076.33,      53.662342,       -0.784461,   92451.54,  130131.66,   20850.19,            20921.06,    57.43,  58562.03,           57707.38,     22.79,      4.15,          36.71,  -0.67,  -1.24
 10,     UK0026,       0,  0.402952, 2459436.600061613601, 257.30449,  66.12285,              325.89327,  44.29800,       325.86505,       44.31241,    257.30449,     +66.12285,     257.36336,      +66.11396,  3820795.06,  -400417.13,  5187556.14,      53.658963,       -0.796728,   90844.78,  129093.66,   22689.96,            22760.82,  -463.73,  45651.82,           57293.77,    -54.97,    -10.05,          89.28,  -0.27,  -0.82
  0,     UK0027,       1,  0.111636, 2459436.600058242213, 134.39628,  52.95874,               23.13278,  19.11082,        23.28414,       19.04397,    134.39628,     +52.95874,     134.22542,      +52.83937,  3827365.00,  -393720.24,  5201318.99,      53.689448,       -0.686130,  105395.36,  303404.07,       0.00,             6104.64,   -53.53,      0.00,           59919.62,    185.63,    815.23,         568.41,  +2.36,  -0.05
  1,     UK0027,       1,  0.151900, 2459436.600058707874, 134.78903,  52.74435,               22.99529,  18.81874,        23.14003,       18.75486,    134.78903,     +52.74435,     134.62536,      +52.63061,  3826475.47,  -394626.96,  5199455.59,      53.685335,       -0.701088,  103424.76,  301901.64,    2255.14,             8359.78,  -157.21,  56008.91,           59919.62,    176.77,    776.75,         544.26,  +1.60,  -0.80
  2,     UK0027,       1,  0.192192, 2459436.600059174467, 135.20842,  52.49772,               22.85333,  18.49079,        22.98115,       18.43443,    135.20842,     +52.49772,     135.06369,      +52.39768,  3825500.25,  -395621.02,  5197412.69,      53.680820,       -0.717478,  101264.53,  300265.80,    4727.52,            10832.16,   -45.29,  61361.45,           59919.62,    155.22,    683.26,         481.32,  +0.86,  -1.53
  3,     UK0027,       1,  0.232492, 2459436.600059641059, 135.63790,  52.24909,               22.70338,  18.15866,        22.81971,       18.10741,    135.63790,     +52.24909,     135.50605,      +52.15841,  3824516.22,  -396624.06,  5195351.32,      53.676259,       -0.734023,   99084.99,  298626.97,    7222.24,            13326.88,    88.51,  61903.83,           59919.62,    140.55,    619.34,         438.66,  +0.66,  -1.72
  4,     UK0027,       1,  0.272776, 2459436.600060107186, 136.06696,  52.01526,               22.54472,  17.84043,        22.66280,       17.78842,    136.06696,     +52.01526,     135.93291,      +51.92357,  3823566.97,  -397591.66,  5193362.81,      53.671854,       -0.749995,   96982.67,  297057.26,    9628.80,            15733.44,   135.08,  59739.85,           60130.18,    142.17,    626.27,         445.92,  +0.65,  -1.71
  0,     UK002F,       0,  0.123301, 2459436.600058381911, 150.71185,  62.64889,               11.41607,  25.93491,        11.43163,       25.92638,    150.71185,     +62.64889,     150.68796,      +62.63694,  3827082.04,  -394008.67,  5200726.25,      53.688140,       -0.690885,  104768.49,  231773.33,       0.00,             6822.00,   -19.55,      0.00,           59333.26,     33.25,     57.36,          59.00,  +2.15,  +0.32
  1,     UK002F,       0,  0.163557, 2459436.600058847573, 151.36349,  62.32492,               11.18775,  25.54342,        11.17462,       25.55061,    151.36349,     +62.32492,     151.38483,      +62.33492,  3826146.69,  -394962.09,  5198766.85,      53.683813,       -0.706607,  102696.45,  230198.24,    2371.31,             9193.31,    -6.59,  58905.77,           59333.26,    -27.89,    -48.18,          49.88,  +1.21,  -0.60
  2,     UK002F,       0,  0.203809, 2459436.600059313700, 151.99560,  62.00549,               10.96163,  25.15951,        10.92324,       25.18049,    151.99560,     +62.00549,     152.05699,      +62.03448,  3825238.74,  -395887.59,  5196864.86,      53.679608,       -0.721880,  100685.27,  228682.48,    4673.16,            11495.15,   -62.86,  57185.86,           59333.26,    -81.07,   -140.25,         146.12,  +0.96,  -0.84
  3,     UK002F,       0,  0.244085, 2459436.600059779827, 152.68372,  61.64811,               10.71119,  24.73323,        10.64604,       24.76878,    152.68372,     +61.64811,     152.78770,      +61.69687,  3824243.89,  -396901.66,  5194780.84,      53.674996,       -0.738606,   98481.83,  227037.13,    7195.30,            14017.30,    99.77,  62621.58,           59333.26,   -136.73,   -236.86,         248.47,  +2.10,  +0.32

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.