Orbital Analysis for matched events on 20210810_230036.972_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.96° Bg 42.40° Vg 55.44km/s
mass 0.04975g, abs. mag -1.0
Path Details
------------
start 0.28° 49.75° 108.07km
end   0.14° 49.63° 94.54km

Orbit Details
-------------
Semimajor axis 5.69A.U., eccentricity 0.83, inclination 105.51°, Period 13.56Y, LA Sun 138.23°, last Perihelion 2021-07-20

Full details below
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Detailed report below graphs

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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: 2459437.458761257585
Time: 2021-08-10 23:00:36.972655 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002D and UK002N
 Convergence angle = 13.71788 deg
 R.A. =  47.38803  Dec = +62.08623 deg

Best intersection: Stations UK002D and UK002N with Qconv = 13.72 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2412558.64 +/- 203.96 m
 Y =  -3436692.96 +/- 124.78 m
 Z =   4927449.89 +/- 44.45 m
 Vx =    19540.75 +/- 862.40 m/s
 Vy =    18241.42 +/- 527.74 m/s
 Vz =    49826.33 +/- 142.59 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.772640e+04, -2.859985e+04, -4.275039e+03, +1.877983e+05, -1.094169e+05, -2.264986e+04
-2.859985e+04, +1.814539e+04, +2.288830e+03, -1.150995e+05, +7.055897e+04, +1.261719e+04
-4.275039e+03, +2.288830e+03, +2.097391e+03, -1.844839e+04, +6.016714e+03, +4.127455e+03
+1.877983e+05, -1.150995e+05, -1.844839e+04, +8.326774e+05, -4.947750e+05, -1.030725e+05
-1.094169e+05, +7.055897e+04, +6.016714e+03, -4.947750e+05, +3.169062e+05, +5.279359e+04
-2.264986e+04, +1.261719e+04, +4.127455e+03, -1.030725e+05, +5.279359e+04, +1.627846e+04

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK002D: -0.000286 s
    UK002N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 23:00:36.972655 UTC
  Lon     = ++0.276629 +/- 0.0014 deg
  Lat     = +49.750488 +/- 0.0016 deg
  Lat geo = +49.563771 +/- 0.0016 deg
  Ht      =  108107.07 +/- 130.38 m

  JD dynamic   = 2459437.459561998490 
  LST apparent = 305.0688570882 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  43.03036 +/- 2.1218 deg
  Dec       = +61.78644 +/- 0.2597 deg
  Azimuth   =  37.08860 +/- 0.9835 deg
  Elevation = +39.06862 +/- 0.6548 deg
  Vavg      =  55.92313 +/- 0.0417 km/s
  Vinit     =  56.54426 +/- 0.0271 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  42.94048 +/- 2.1218 deg
  Dec       = +61.51634 +/- 0.2597 deg
  Azimuth   =  37.40604 +/- 0.9835 deg
  Elevation = +38.95056 +/- 0.6548 deg
  Vavg      =  56.06714 +/- 0.0417 km/s
  Vinit     =  56.68827 +/- 0.0271 km/s
Radiant (geocentric, J2000):
  R.A.   =  43.53033 +/- 2.1183 deg
  Dec    = +61.39302 +/- 0.2509 deg
  Vg     =  55.44471 +/- 0.0276 km/s
  Vinf   =  56.54426 +/- 0.0271 km/s
  Zc     =  51.08042 +/- 0.6566 deg
  Zg     =  51.61803 +/- 0.6645 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.95961 +/- 1.3556 deg
  Bg     = +42.40172 +/- 0.2098 deg
  Vh     =  39.93055 +/- 0.1555 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  90.47106 +/- 2.8736 deg
  Bh     = +69.44592 +/- 0.8731 deg
  Vh_x   =   0.11526 +/- 0.8412 km/s
  Vh_y   = -14.01880 +/- 0.5098 km/s
  Vh_z   = -37.38862 +/- 0.1511 km/s
Orbit:
  La Sun = 138.229080 +/- -0.0000 deg
  a      =   5.686039 +/- 0.7168 AU
  e      =   0.832670 +/- 0.0146
  i      = 105.513845 +/- 0.2858 deg
  peri   = 149.885554 +/- 2.6996 deg
  node   = 138.228308 +/- 0.0000 deg
  Pi     = 288.113862 +/- 2.6995 deg
  q      =   0.951446 +/- 0.0138 AU
  f      =  30.110560 +/- 2.6996 deg
  M      =   1.588935 +/- 0.1616 deg
  Q      =  10.420632 +/- 1.4445 AU
  n      =   0.072693 +/- 0.0079 deg/day
  T      =  13.558617 +/- 2.9037 years
  Last perihelion JD = 2459415.601237 (2021-07-20 02:25:46.837811) +/- 1.5086 days
  Tj     =   0.605628 +/- 0.0675
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.251161e-04, -1.959435e-04, -2.011062e-02, +5.110890e-09, -6.510402e-04, -7.308221e-05
q   , -1.959435e-04, +2.195653e-04, +2.414465e-02, -3.984014e-09, +7.547060e-04, +5.693739e-05
Tp  , -2.011062e-02, +2.414465e-02, +2.722666e+00, -4.039857e-07, +8.411718e-02, +5.771143e-03
node, +5.110890e-09, -3.984014e-09, -4.039857e-07, +1.281611e-13, -1.318734e-08, -1.832540e-09
peri, -6.510402e-04, +7.547060e-04, +8.411718e-02, -1.318734e-08, +2.612979e-03, +1.884256e-04
i   , -7.308221e-05, +5.693739e-05, +5.771143e-03, -1.832540e-09, +1.884256e-04, +2.620311e-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: UK002N
  Avg. res. = 6.250e-06 s
  Stddev    = 2.50e-03 s

Begin point on the trajectory:
  Lon =     0.276244 +/- 0.0013 deg
  Lat =    49.750158 +/- 0.0017 deg
  Ht  = 108069.09 +/- 117.46 m
End point on the trajectory:
  Lon =     0.137337 +/- 0.0010 deg
  Lat =    49.632131 +/- 0.0012 deg
  Ht  = 94542.15 +/- 89.67 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
    UK0001,    True,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   108067.66,    98373.09,          0.196996,       nan,       nan,              76.89, 0.0000,    True,   False, {"ff_name": "FF_UK0001_20210810_230032_232_0249088.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,  64.943712,   107189.61,    94542.15,          0.018158,     77.87,     23.37,              86.73, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210810_230031_688_0244480.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   108069.09,    95145.40,          0.011842,     44.22,      2.26,              93.38, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210810_230035_592_0252672.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,     UK0001,       1, -0.007154, 2459437.458761174697, 345.81776,   1.03426,              129.37456,  28.49382,       129.28901,       28.39169,    345.81776,      +1.03426,     345.93327,       +0.98187,  2412537.03, -3436713.13,  4927394.79,      49.750145,       +0.276260,  108067.66,  221089.50,       0.00,               62.53,   465.58,     -0.00,           55573.62,    159.25,    462.82,         456.63,  +4.78,  +3.06
  1,     UK0001,       1,  0.032798, 2459437.458761637099, 345.62593,   0.51056,              129.85424,  28.12951,       129.79784,       28.06257,    345.62593,      +0.51056,     345.70203,       +0.47614,  2411769.80, -3437429.35,  4925438.45,      49.737986,       +0.261909,  106668.64,  220488.29,    2220.11,             2282.64,   426.64,  55569.36,           55573.62,    104.65,    303.39,         300.23,  +4.96,  +3.24
  2,     UK0001,       1,  0.072642, 2459437.458762098569, 345.32738,   0.03430,              130.41067,  27.85648,       130.30440,       27.73104,    345.32738,      +0.03430,     345.47044,       -0.03045,  2411005.39, -3438142.93,  4923489.31,      49.725864,       +0.247613,  105275.22,  219910.04,    4432.04,             4494.57,   385.62,  55514.74,           55573.62,    195.42,    569.02,         564.31,  +1.79,  +0.08
  3,     UK0001,       1,  0.112542, 2459437.458762560040, 345.08186,  -0.47163,              130.92768,  27.52986,       130.81246,       27.39461,    345.08186,      -0.47163,     345.23674,       -0.54167,  2410237.96, -3438859.33,  4921532.46,      49.713687,       +0.233262,  103876.72,  219350.54,    6652.72,             6715.25,   350.18,  55656.28,           55573.62,    210.67,    613.94,         610.36,  +1.17,  -0.54
  4,     UK0001,       1,  0.152426, 2459437.458763021976, 344.82106,  -0.99377,              131.46535,  27.19427,       131.33626,       27.04357,    344.82106,      -0.99377,     344.99428,       -1.07209,  2409445.75, -3439598.86,  4919512.43,      49.701110,       +0.218453,  102433.53,  218795.48,    8945.11,             9007.64,   387.36,  57476.30,           55960.38,    234.61,    684.57,         682.21,  +0.92,  -0.78
  5,     UK0001,       1,  0.192278, 2459437.458763482980, 344.52644,  -1.48064,              132.01462,  26.90359,       131.84072,       26.70166,    344.52644,      -1.48064,     344.75922,       -1.58598,  2408681.93, -3440311.89,  4917564.80,      49.688976,       +0.204170,  101042.52,  218281.60,   11155.33,            11217.86,   344.18,  55460.90,           55999.62,    313.48,    918.28,         916.90,  +0.56,  -1.14
  6,     UK0001,       1,  0.232186, 2459437.458763944916, 344.29147,  -2.02917,              132.53404,  26.52838,       132.36984,       26.33874,    344.29147,      -2.02917,     344.51106,       -2.12843,  2407879.41, -3441061.05,  4915518.47,      49.676220,       +0.189173,   99581.48,  217765.04,   13477.57,            13540.10,   409.85,  58189.64,           56248.42,    294.86,    863.06,         863.87,  +0.60,  -1.09
  7,     UK0001,       1,  0.272070, 2459437.458764406387, 344.05244,  -2.46521,              132.99602,  26.25285,       132.80736,       26.03593,    344.05244,      -2.46521,     344.30434,       -2.57911,  2407215.46, -3441680.85,  4913825.48,      49.665661,       +0.176738,   98373.09,  217354.26,   15398.81,            15461.34,    75.88,  48170.71,           55678.95,    336.87,    988.14,         990.72,  +0.34,  -1.35
  0,     UK002D,       0,  0.025320, 2459437.458761553746, 339.54965,  -7.18889,              139.84957,  23.57650,       139.87409,       23.60245,    339.54965,      -7.18889,     339.51844,       -7.17429,  2412055.53, -3437162.61,  4926167.03,      49.742515,       +0.267222,  107189.61,  256729.71,       0.00,             1455.82,    22.66,      0.00,           56465.57,    -44.21,   -147.31,         123.57,  +2.80,  +0.75
  1,     UK002D,       0,  0.065696, 2459437.458762021270, 339.33935,  -7.64734,              140.25942,  23.24153,       140.28987,       23.27364,    339.33935,      -7.64734,     339.30074,       -7.62922,  2411274.29, -3437891.91,  4924174.97,      49.730129,       +0.252611,  105765.34,  256508.51,    2260.64,             3716.46,     0.28,  55989.81,           56465.57,    -54.83,   -182.61,         153.32,  +2.08,  +0.03
  2,     UK002D,       0,  0.106060, 2459437.458762488328, 339.07896,  -8.08984,              140.70924,  22.93968,       140.70898,       22.93940,    339.07896,      -8.08984,     339.07974,       -8.08999,  2410484.12, -3438629.54,  4922160.13,      49.717594,       +0.237837,  104325.24,  256305.05,    4547.14,             6002.96,     4.42,  56646.99,           56465.57,      0.47,      1.57,           1.32,  +1.48,  -0.56
  3,     UK002D,       0,  0.146444, 2459437.458762955852, 338.86318,  -8.55490,              141.12237,  22.59798,       141.12724,       22.60308,    338.86318,      -8.55490,     338.85758,       -8.55200,  2409692.82, -3439368.22,  4920142.42,      49.705033,       +0.223043,  102883.56,  256121.68,    6836.89,             8292.71,    10.69,  56699.44,           56465.57,     -8.71,    -29.09,          24.46,  +1.30,  -0.74
  4,     UK002D,       0,  0.186836, 2459437.458763423376, 338.63643,  -9.03278,              141.54921,  22.24741,       141.55648,       22.25500,    338.63643,      -9.03278,     338.62792,       -9.02844,  2408877.68, -3440129.16,  4918063.93,      49.692086,       +0.207810,  101398.95,  255954.38,    9195.62,            10651.43,    85.48,  58395.75,           56881.22,    -13.01,    -43.42,          36.53,  +1.42,  -0.62
  5,     UK002D,       0,  0.227220, 2459437.458763890900, 338.39307,  -9.49816,              141.98437,  21.91324,       141.98004,       21.90873,    338.39307,      -9.49816,     338.39956,       -9.50075,  2408070.36, -3440882.80,  4916005.37,      49.679256,       +0.192722,   99929.07,  255810.05,   11531.73,            12987.55,   138.10,  57847.48,           57138.00,      7.73,     25.83,          21.74,  +1.14,  -0.90
  6,     UK002D,       0,  0.267568, 2459437.458764357958, 338.18709,  -9.92383,              142.36388,  21.59992,       142.36006,       21.59596,    338.18709,      -9.92383,     338.19309,       -9.92611,  2407343.84, -3441561.01,  4914152.83,      49.667703,       +0.179128,   98606.70,  255697.75,   13634.04,            15089.86,   -41.03,  52104.41,           56690.83,      6.82,     22.78,          19.18,  +1.21,  -0.83
  7,     UK002D,       0,  0.307952, 2459437.458764825016, 337.96434, -10.38790,              142.77345,  21.25630,       142.77166,       21.25444,    337.96434,     -10.38790,     337.96792,      -10.38897,  2406553.64, -3442298.67,  4912137.92,      49.655130,       +0.164358,   97168.89,  255595.86,   15920.61,            17376.43,   -37.94,  56620.81,           56498.63,      3.19,     10.67,           8.99,  +0.93,  -1.11
  8,     UK002D,       0,  0.348332, 2459437.458765292540, 337.73151, -10.85019,              143.18961,  20.91673,       143.18334,       20.91026,    337.73151,     -10.85019,     337.74099,      -10.85394,  2405760.15, -3443039.40,  4910114.63,      49.642498,       +0.149529,   95725.58,  255514.22,   18216.70,            19672.51,   -25.12,  56861.90,           56433.15,     11.15,     37.28,          31.41,  +1.14,  -0.90
  9,     UK002D,       0,  0.388648, 2459437.458765759133, 337.54950, -11.23413,              143.52231,  20.62939,       143.52019,       20.62720,    337.54950,     -11.23413,     337.55385,      -11.23541,  2405109.36, -3443646.91,  4908455.20,      49.632131,       +0.137337,   94542.15,  255461.54,   20099.86,            21555.68,  -421.59,  46710.09,           55870.34,      3.78,     12.64,          10.65,  +2.64,  +0.60
  0,     UK002N,       0,  0.000000, 2459437.458761257585, 324.35639,  -6.61541,              156.67226,  29.54720,       156.67789,       29.55162,    324.35639,      -6.61541,     324.35050,       -6.61235,  2412537.81, -3436712.40,  4927396.78,      49.750158,       +0.276244,  108069.09,  213598.91,       0.00,               60.27,    58.82,      0.00,           54471.75,     -1.26,    -24.57,          23.76,  +3.20,  +1.55
  1,     UK002N,       0,  0.040384, 2459437.458761725109, 324.03327,  -7.18591,              157.19032,  29.07360,       157.18160,       29.06678,    324.03327,      -7.18591,     324.04257,       -7.19066,  2411696.85, -3437497.45,  4925252.42,      49.736829,       +0.260529,  106535.63,  213631.37,    2433.48,             2493.74,   208.82,  60258.40,           54471.75,      1.94,     38.08,          36.82,  +2.22,  +0.57
  2,     UK002N,       0,  0.080724, 2459437.458762191702, 323.77795,  -7.68163,              157.60805,  28.65407,       157.60676,       28.65307,    323.77795,      -7.68163,     323.77964,       -7.68233,  2410981.38, -3438165.34,  4923428.08,      49.725483,       +0.247135,  105231.44,  213680.32,    4503.79,             4564.06,    -1.86,  51321.70,           54471.75,      0.29,      5.61,           5.42,  +1.68,  +0.03
  3,     UK002N,       0,  0.121060, 2459437.458762658760, 323.49286,  -8.18058,              158.05521,  28.23682,       158.04093,       28.22572,    323.49286,      -8.18058,     323.50836,       -8.18839,  2410244.30, -3438853.41,  4921548.63,      49.713788,       +0.233343,  103888.26,  213751.92,    6636.64,             6696.90,  -149.79,  52876.89,           54471.75,      3.17,     62.50,          60.39,  +1.17,  -0.48
  4,     UK002N,       0,  0.161456, 2459437.458763126284, 323.21206,  -8.75224,              158.51254,  27.74606,       158.51791,       27.75021,    323.21206,      -8.75224,     323.20709,       -8.74930,  2409426.34, -3439616.98,  4919462.93,      49.700802,       +0.218057,  102398.16,  213856.79,    9003.54,             9063.81,   -67.04,  58592.61,           55032.34,     -1.20,    -23.52,          22.72,  +1.10,  -0.55
  5,     UK002N,       0,  0.201816, 2459437.458763593342, 322.91134,  -9.28952,              158.97763,  27.29136,       158.97492,       27.28926,    322.91134,      -9.28952,     322.91504,       -9.29101,  2408635.19, -3440355.52,  4917445.61,      49.688233,       +0.203267,  100957.39,  213983.08,   11292.85,            11353.12,   -59.86,  56722.29,           55433.86,      0.61,     11.91,          11.49,  +0.67,  -0.98
  6,     UK002N,       0,  0.242192, 2459437.458764060866, 322.60915,  -9.84311,              159.44364,  26.81911,       159.43903,       26.81556,    322.60915,      -9.84311,     322.61504,       -9.84564,  2407823.74, -3441113.02,  4915376.51,      49.675335,       +0.188103,   99480.13,  214138.16,   13640.92,            13701.19,     5.18,  58155.04,           55868.92,      1.03,     20.27,          19.55,  +0.79,  -0.86
  7,     UK002N,       0,  0.282564, 2459437.458764527924, 322.32745, -10.38517,              159.87999,  26.35170,       159.88487,       26.35544,    322.32745,     -10.38517,     322.32347,      -10.38248,  2407036.75, -3441847.68,  4913369.80,      49.662818,       +0.173392,   98047.89,  214313.04,   15918.19,            15978.46,    -0.36,  56407.09,           56095.02,     -1.09,    -21.47,          20.69,  +0.67,  -0.99
  8,     UK002N,       0,  0.322936, 2459437.458764995448, 322.06115, -10.92251,              160.29431,  25.88390,       160.31889,       25.90270,    322.06115,     -10.92251,     322.03639,      -10.90890,  2406263.33, -3442569.68,  4911397.67,      49.650509,       +0.158933,   96640.78,  214508.36,   18156.22,            18216.49,   -45.13,  55435.35,           56156.53,     -5.57,   -108.53,         104.50,  +0.56,  -1.10
  9,     UK002N,       0,  0.363300, 2459437.458765462507, 321.73290, -11.46894,              160.77221,  25.41841,       160.77552,       25.42093,    321.73290,     -11.46894,     321.73090,      -11.46710,  2405441.11, -3443337.22,  4909301.13,      49.637417,       +0.143573,   95145.40,  214741.74,   20535.44,            20595.70,    51.73,  58943.88,           56339.88,     -0.74,    -14.62,          14.06,  +0.86,  -0.80
 10,     UK002N,       1,  0.403524, 2459437.458765928168, 321.52633, -11.80671,              161.06903,  25.13034,       161.05792,       25.12189,    321.52633,     -11.80671,     321.53986,      -11.81289,  2404930.72, -3443813.68,  4907999.69,      49.629285,       +0.133976,   94217.35,  214898.47,   22012.34,            22072.60,  -745.80,  36716.94,           55551.32,      2.48,     49.20,          47.28,  +6.13,  +4.47

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.