Orbital Analysis for matched events on 20210813_010553.244_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 67.21° Bg 36.49° Vg 60.14km/s
mass 0.36424g, abs. mag -2.8
Path Details
------------
start 1.82° 50.94° 110.98km
end   1.57° 50.81° 85.90km

Orbit Details
-------------
Semimajor axis -348.18A.U., eccentricity 1.00, inclination 115.21°, Period 1000000000.00Y, LA Sun 140.23°, 

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: 2459439.545755142812
Time: 2021-08-13 01:05:53.244339 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK002N
 Convergence angle = 25.47123 deg
 R.A. =  55.65525  Dec = +57.57643 deg

Best intersection: Stations UK002K and UK002N with Qconv = 25.47 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3849933.35 +/- 122.20 m
 Y =  -1402306.30 +/- 93.32 m
 Z =   5015379.40 +/- 89.91 m
 Vx =    19020.03 +/- 332.22 m/s
 Vy =    26892.20 +/- 218.60 m/s
 Vz =    51527.77 +/- 362.22 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.568747e+04, +1.114199e+04, +9.579656e+03, +3.143572e+04, +1.868949e+04, +5.293502e+03
+1.114199e+04, +8.972780e+03, +8.314513e+03, +2.091177e+04, +1.349200e+04, +3.183426e+03
+9.579656e+03, +8.314513e+03, +9.196025e+03, +1.756290e+04, +1.071323e+04, +1.914017e+03
+3.143572e+04, +2.091177e+04, +1.756290e+04, +7.373917e+04, +4.093729e+04, +1.116049e+04
+1.868949e+04, +1.349200e+04, +1.071323e+04, +4.093729e+04, +2.593605e+04, +7.334031e+03
+5.293502e+03, +3.183426e+03, +1.914017e+03, +1.116049e+04, +7.334031e+03, +5.442541e+03

Timing offsets (from input data):
    UK002K: -0.000955 s
    UK002N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 01:05:53.244339 UTC
  Lon     = ++1.819254 +/- 0.0018 deg
  Lat     = +50.937711 +/- 0.0004 deg
  Lat geo = +50.752506 +/- 0.0004 deg
  Ht      =  110970.16 +/- 116.62 m

  JD dynamic   = 2459439.546555883717 
  LST apparent = 339.9862663905 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  54.72940 +/- 0.2713 deg
  Dec       = +57.41167 +/- 0.2457 deg
  Azimuth   =  50.99152 +/- 0.4203 deg
  Elevation = +48.03304 +/- 0.0483 deg
  Vavg      =  60.13285 +/- 0.1524 km/s
  Vinit     =  61.15605 +/- 0.2640 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  54.86498 +/- 0.2713 deg
  Dec       = +57.18463 +/- 0.2457 deg
  Azimuth   =  51.25352 +/- 0.4203 deg
  Elevation = +47.87142 +/- 0.0483 deg
  Vavg      =  60.28864 +/- 0.1524 km/s
  Vinit     =  61.31184 +/- 0.2640 km/s
Radiant (geocentric, J2000):
  R.A.   =  54.92013 +/- 0.2793 deg
  Dec    = +57.18901 +/- 0.2453 deg
  Vg     =  60.14126 +/- 0.2685 km/s
  Vinf   =  61.15605 +/- 0.2640 km/s
  Zc     =  42.08373 +/- 0.0488 deg
  Zg     =  42.45254 +/- 0.0509 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.20842 +/- 0.2630 deg
  Bg     = +36.49410 +/- 0.1956 deg
  Vh     =  41.87656 +/- 0.1334 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  89.57387 +/- 0.8758 deg
  Bh     = +58.66591 +/- 0.2640 deg
  Vh_x   =  -0.16196 +/- 0.3243 km/s
  Vh_y   = -21.77636 +/- 0.2290 km/s
  Vh_z   = -35.76884 +/- 0.0645 km/s
Orbit:
  La Sun = 140.232434 +/- 0.0000 deg
  a      = -348.179047 +/- 105.2946 AU
  e      =   1.002594 +/- 0.0113
  i      = 115.213443 +/- 0.5038 deg
  peri   = 141.558071 +/- 0.6223 deg
  node   = 140.231950 +/- 0.0000 deg
  Pi     = 281.790021 +/- 0.6223 deg
  q      =   0.903289 +/- 0.0029 AU
  f      =  38.438140 +/- 0.6223 deg
  M      =        nan +/- nan deg
  Q      = -697.261383 +/- 210.5905 AU
  n      =   0.000152 +/- 0.0020 deg/day
  T      = 1000000000.000000 +/- 339934514.2956 years
  Last perihelion JD = NaN 
  Tj     =  -0.517245 +/- 0.0750
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.622614e-05, +1.354811e-05, +2.078068e-03, -2.708319e-09, +5.289369e-05, +3.755045e-05
q   , +1.354811e-05, +6.271219e-06, +7.881890e-04, -1.204477e-09, +2.213374e-05, +1.674542e-05
Tp  , +2.078068e-03, +7.881890e-04, +1.042883e-01, -1.527226e-07, +2.852544e-03, +2.121820e-03
node, -2.708319e-09, -1.204477e-09, -1.527226e-07, +2.596575e-13, -4.268701e-09, -3.610596e-09
peri, +5.289369e-05, +2.213374e-05, +2.852544e-03, -4.268701e-09, +7.907558e-05, +5.932691e-05
i   , +3.755045e-05, +1.674542e-05, +2.121820e-03, -3.610596e-09, +5.932691e-05, +5.020667e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.004481
 a2 = 20.941279

Mean time residuals from time vs. length:
  Station with reference time: UK002N
  Avg. res. = 4.030e-06 s
  Stddev    = 2.01e-03 s

Begin point on the trajectory:
  Lon =     1.819389 +/- 0.0015 deg
  Lat =    50.937780 +/- 0.0003 deg
  Ht  = 110984.00 +/- 86.33 m
End point on the trajectory:
  Lon =     1.571268 +/- 0.0014 deg
  Lat =    50.811400 +/- 0.0004 deg
  Ht  = 85902.70 +/- 68.37 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.389819,  12.075274,   107522.14,    87685.84,          0.006815,     34.27,     22.59,              83.30, 1.0000,    True,   False, {"ff_name": "FF_UK002K_20210813_010550_381_0434944.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.002113,  22.306306,   110984.00,    85902.70,          0.016196,     29.46,     49.40,              41.84, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210813_010547_668_0447488.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,     UK002K,       1,  0.036635, 2459439.545755577739,   5.65991, -15.53913,              151.91417,  16.89841,       151.90801,       16.89327,      5.65991,     -15.53913,       5.66747,      -15.54233,  3849233.05, -1403296.44,  5013482.20,      50.929334,       +1.802735,  109296.12,  346778.46,       0.00,             2251.70,   168.98,      0.00,           58603.22,     26.05,     39.52,          28.15,  +4.62,  +1.92
  1,     UK002K,       0,  0.076787, 2459439.545756042469,   5.49443, -15.89839,              152.18197,  16.60061,       152.17859,       16.59779,      5.49443,     -15.89839,       5.49883,      -15.90016,  3848490.80, -1404345.91,  5011471.33,      50.920448,       +1.785221,  107522.14,  346508.93,    2386.61,             4638.31,   100.05,  59439.44,           58603.22,     14.31,     21.70,          15.47,  +1.61,  -1.09
  2,     UK002K,       0,  0.116951, 2459439.545756507199,   5.33205, -16.26836,              152.44864,  16.29108,       152.45408,       16.29560,      5.33205,     -16.26836,       5.32599,      -16.26552,  3847733.77, -1405416.27,  5009420.44,      50.911378,       +1.767360,  105713.24,  346250.95,    4820.73,             7072.43,    77.90,  60604.46,           58603.22,    -22.98,    -34.84,          24.86,  +0.97,  -1.73
  3,     UK002K,       0,  0.157083, 2459439.545756971929,   5.16429, -16.59643,              152.70667,  16.02257,       152.70410,       16.02044,      5.16429,     -16.59643,       5.16805,      -16.59777,  3847046.10, -1406388.55,  5007557.45,      50.903131,       +1.751117,  104070.41,  346030.89,    7031.82,             9283.52,  -165.32,  55095.54,           58603.22,     10.82,     16.42,          11.72,  +0.54,  -2.16
  4,     UK002K,       0,  0.197247, 2459439.545757436659,   4.98243, -16.98030,              152.99329,  15.70374,       152.99162,       15.70236,      4.98243,     -16.98030,       4.98528,      -16.98117,  3846253.22, -1407509.60,  5005409.43,      50.893616,       +1.732412,  102176.64,  345795.38,    9581.22,            11832.93,   -72.19,  63474.77,           59293.95,      7.05,     10.70,           7.64,  +0.27,  -2.42
  5,     UK002K,       0,  0.237407, 2459439.545757901389,   4.80277, -17.36197,              153.27563,  15.38571,       153.27621,       15.38619,      4.80277,     -17.36197,       4.80307,      -17.36166,  3845467.05, -1408621.15,  5003279.60,      50.884172,       +1.713860,  100299.34,  345580.31,   12109.03,            14360.73,    -0.42,  62943.24,           60012.72,     -2.43,     -3.68,           2.63,  +0.32,  -2.37
  6,     UK002K,       0,  0.277571, 2459439.545758366585,   4.62162, -17.75314,              153.56059,  15.05824,       153.56606,       15.06276,      4.62162,     -17.75314,       4.61615,      -17.75026,  3844664.74, -1409755.53,  5001106.03,      50.874526,       +1.694928,   98383.93,  345379.94,   14688.73,            16940.43,   123.02,  64229.34,           60721.31,    -23.04,    -34.95,          25.00,  +0.09,  -2.60
  7,     UK002K,       0,  0.317719, 2459439.545758830849,   4.43798, -18.11671,              153.83846,  14.75723,       153.83870,       14.75742,      4.43798,     -18.11671,       4.43903,      -18.11658,  3843908.92, -1410824.18,  4999058.41,      50.865431,       +1.677080,   96579.91,  345208.52,   17118.96,            19370.66,    97.95,  60531.78,           61000.72,     -1.00,     -1.51,           1.08,  +0.25,  -2.44
  8,     UK002K,       1,  0.357879, 2459439.545759296045,   4.30112, -18.46739,              154.06718,  14.45577,       154.09026,       14.47484,      4.30112,     -18.46739,       4.27446,      -18.45517,  3843210.70, -1411811.37,  4997166.86,      50.857022,       +1.660576,   94913.73,  345065.00,   19363.97,            21615.67,  -113.07,  55901.51,           60791.12,    -97.42,   -147.65,         105.74,  -0.11,  -2.80
  9,     UK002K,       0,  0.398023, 2459439.545759760309,   4.10520, -18.83266,              154.35435,  14.15502,       154.36553,       14.16424,      4.10520,     -18.83266,       4.09320,      -18.82672,  3842444.74, -1412894.36,  4995091.77,      50.847789,       +1.642485,   93086.28,  344924.84,   21826.80,            24078.50,  -105.29,  61349.86,           60714.89,    -47.16,    -71.52,          51.23,  +0.11,  -2.58
 10,     UK002K,       0,  0.438167, 2459439.545760225039,   3.90618, -19.20493,              154.64486,  13.84756,       154.64500,       13.84767,      3.90618,     -19.20493,       3.90784,      -19.20485,  3841665.45, -1413996.19,  4992980.55,      50.838388,       +1.624079,   91227.44,  344800.40,   24332.51,            26584.21,   -54.63,  62418.05,           60750.70,     -0.60,     -0.91,           0.66,  -0.01,  -2.70
 11,     UK002K,       0,  0.478315, 2459439.545760689769,   3.73545, -19.56381,              154.90371,  13.54510,       154.90810,       13.54871,      3.73545,     -19.56381,       3.73207,      -19.56147,  3840930.65, -1415035.11,  4990989.89,      50.829516,       +1.606711,   89475.11,  344699.51,   26695.14,            28946.84,  -147.29,  58848.01,           60698.20,    -18.49,    -28.06,          20.11,  +0.10,  -2.59
 12,     UK002K,       0,  0.518467, 2459439.545761154499,   3.56123, -19.93078,              155.16671,  13.23509,       155.17622,       13.24292,      3.56123,     -19.93078,       3.55169,      -19.92569,  3840180.20, -1416096.17,  4988956.82,      50.820447,       +1.588974,   87685.84,  344613.35,   29108.10,            31359.80,  -189.86,  60095.83,           60646.60,    -40.14,    -60.89,          43.65,  +0.05,  -2.64
  0,     UK002N,       0,  0.000000, 2459439.545755142812,  40.10349,  17.19694,              100.49301,  30.33938,       100.47506,       30.31962,     40.10349,     +17.19694,      40.12922,      +17.19180,  3849939.14, -1402298.12,  5015395.08,      50.937780,       +1.819389,  110984.00,  214506.91,       0.00,               18.61,   176.32,      0.00,           59432.45,     80.75,     48.16,          90.41,  +3.37,  +1.71
  1,     UK002N,       0,  0.040372, 2459439.545755609870,  40.02788,  16.73654,              100.89950,  30.03322,       100.89929,       30.03298,     40.02788,     +16.73654,      40.02835,      +16.73648,  3849130.55, -1403441.37,  5013204.51,      50.928107,       +1.800328,  109051.12,  212561.92,    2599.90,             2581.28,   270.00,  64398.51,           59432.45,      0.95,      0.57,           1.08,  +2.24,  +0.60
  2,     UK002N,       0,  0.080672, 2459439.545756076463,  39.92666,  16.35048,              101.27078,  29.79892,       101.26004,       29.78720,     39.92666,     +16.35048,      39.94228,      +16.34743,  3848450.99, -1404402.20,  5011363.48,      50.919971,       +1.784279,  107427.00,  210936.72,    4784.94,             4766.32,    -9.55,  54219.35,           59432.45,     47.35,     28.23,          53.90,  +1.75,  +0.13
  3,     UK002N,       0,  0.121044, 2459439.545756543986,  39.86547,  15.89416,              101.65801,  29.48520,       101.67377,       29.50231,     39.86547,     +15.89416,      39.84364,      +15.89860,  3847680.01, -1405492.27,  5009274.81,      50.910733,       +1.766090,  105584.81,  209106.74,    7263.89,             7245.27,     0.41,  61402.72,           59432.45,    -68.80,    -40.93,          78.97,  +1.27,  -0.33
  4,     UK002N,       0,  0.161404, 2459439.545757011045,  39.74205,  15.43213,              102.10031,  29.20422,       102.10104,       29.20501,     39.74205,     +15.43213,      39.74169,      +15.43233,  3846893.17, -1406604.78,  5007143.14,      50.901297,       +1.747528,  103705.11,  207253.37,    9793.87,             9775.25,    62.13,  62685.34,           60106.78,     -3.17,     -1.89,           3.67,  +0.79,  -0.79
  5,     UK002N,       0,  0.201780, 2459439.545757478103,  39.64893,  14.96265,              102.52006,  28.89789,       102.52712,       28.90548,     39.64893,     +14.96265,      39.63986,      +14.96463,  3846117.79, -1407701.07,  5005042.55,      50.891990,       +1.729230,  101853.24,  205441.14,   12286.97,            12268.35,    86.00,  61747.04,           60533.88,    -30.14,    -17.95,          35.22,  +0.60,  -0.96
  6,     UK002N,       0,  0.242152, 2459439.545757945627,  39.50549,  14.48054,              102.98984,  28.61144,       102.97036,       28.59054,     39.50549,     +14.48054,      39.53381,      +14.47509,  3845320.67, -1408828.12,  5002883.04,      50.882413,       +1.710421,   99949.86,  203593.51,   14850.00,            14831.38,   180.03,  63485.33,           61002.75,     82.40,     49.17,          97.22,  +0.38,  -1.16
  7,     UK002N,       0,  0.282516, 2459439.545758412685,  39.43241,  14.02774,              103.37625,  28.30380,       103.37381,       28.30120,     39.43241,     +14.02774,      39.43700,      +14.02706,  3844603.51, -1409842.10,  5000940.15,      50.873789,       +1.693479,   98237.77,  201943.69,   17155.92,            17137.31,    17.45,  57128.24,           60875.11,     10.21,      6.09,          12.14,  +0.38,  -1.15
  8,     UK002N,       0,  0.322880, 2459439.545758879744,  39.31092,  13.56600,              103.80860,  28.01773,       103.79101,       27.99902,     39.31092,     +13.56600,      39.33677,      +13.56111,  3843869.92, -1410879.31,  4998952.77,      50.864961,       +1.676150,   96486.84,  200269.87,   19514.66,            19496.05,   -92.31,  58436.79,           60652.97,     72.98,     43.55,          87.53,  -0.02,  -1.53
  9,     UK002N,       0,  0.363276, 2459439.545759347267,  39.22019,  13.07062,              104.23619,  27.68566,       104.22924,       27.67831,     39.22019,     +13.07062,      39.23134,      +13.06870,  3843107.83, -1411956.83,  4996888.16,      50.855782,       +1.658151,   94668.27,  198546.28,   21965.05,            21946.44,  -112.37,  60659.29,           60540.23,     28.51,     17.00,          34.49,  -0.05,  -1.54
 10,     UK002N,       0,  0.403672, 2459439.545759814791,  39.10415,  12.57077,              104.68641,  27.36435,       104.67300,       27.35021,     39.10415,     +12.57077,      39.12439,      +12.56707,  3842344.85, -1413035.59,  4994821.15,      50.846585,       +1.640128,   92847.98,  196836.28,   24418.30,            24399.69,  -129.59,  60729.96,           60487.38,     54.52,     32.53,          66.53,  -0.16,  -1.63
 11,     UK002N,       0,  0.444088, 2459439.545760282781,  38.99398,  12.04272,              105.14886,  27.01618,       105.13685,       27.00358,     38.99398,     +12.04272,      39.01240,      +12.03941,  3841556.37, -1414150.42,  4992685.03,      50.837071,       +1.621505,   90967.28,  195086.28,   26953.56,            26934.95,   -66.01,  62729.06,           60543.24,     48.34,     28.84,          59.52,  -0.13,  -1.58
 12,     UK002N,       0,  0.484512, 2459439.545760750771,  38.91023,  11.51793,              105.58371,  26.65346,       105.59079,       26.66086,     38.91023,     +11.51793,      38.90252,      +11.51987,  3840793.55, -1415228.96,  4990618.47,      50.827860,       +1.603480,   89148.21,  193409.63,   29406.27,            29387.66,   -85.47,  60674.65,           60581.33,    -28.25,    -16.83,          35.07,  +0.11,  -1.32
 13,     UK002N,       0,  0.524900, 2459439.545761217829,  38.77491,  11.01930,              106.04280,  26.34133,       106.02891,       26.32686,     38.77491,     +11.01930,      38.79616,      +11.01550,  3840065.42, -1416258.45,  4988645.87,      50.819059,       +1.586264,   87412.21,  191824.50,   31747.47,            31728.85,  -214.25,  57967.60,           60530.54,     54.87,     32.75,          68.71,  -0.10,  -1.51
 14,     UK002N,       0,  0.565264, 2459439.545761685353,  38.70198,  10.56970,              106.41241,  26.02945,       106.41390,       26.03099,     38.70198,     +10.56970,      38.70230,      +10.57010,  3839432.17, -1417153.80,  4986930.31,      50.811400,       +1.571268,   85902.70,  190457.36,   33783.59,            33764.98,  -646.63,  50444.05,           60245.43,     -5.84,     -3.48,           7.36,  +2.00,  +0.60

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.