Orbital Analysis for matched events on 20210816_014240.661_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 67.17° Bg 37.45° Vg 58.97km/s
mass 0.04415g, abs. mag -1.0
Path Details
------------
start -0.49° 51.57° 109.70km
end   -0.65° 51.50° 90.88km

Orbit Details
-------------
Semimajor axis 10.04A.U., eccentricity 0.91, inclination 114.07°, Period 31.83Y, LA Sun 143.14°, last Perihelion 2021-07-23

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: 2459442.571303953882
Time: 2021-08-16 01:42:40.674530 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002W
 Convergence angle = 63.13625 deg
 R.A. =  53.52235  Dec = +57.80330 deg
Intersection 2 - Stations: UK000F and UK003A
 Convergence angle = 31.47355 deg
 R.A. =  54.98938  Dec = +58.35045 deg
Intersection 3 - Stations: UK002W and UK003A
 Convergence angle = 31.66968 deg
 R.A. =  53.79116  Dec = +56.87053 deg

Best intersection: Stations UK000F and UK002W with Qconv = 63.14 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3977666.04 +/- 64.29 m
 Y =   -711794.42 +/- 53.57 m
 Z =   5059405.15 +/- 93.56 m
 Vx =    18466.77 +/- 262.60 m/s
 Vy =    25600.45 +/- 193.35 m/s
 Vz =    51036.52 +/- 342.95 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.466902e+03, +3.281283e+03, +5.731967e+03, +1.556913e+04, +8.403703e+03, +1.194833e+04
+3.281283e+03, +3.101016e+03, +4.992315e+03, +9.573182e+03, +5.977621e+03, +6.972100e+03
+5.731967e+03, +4.992315e+03, +9.437263e+03, +1.590236e+04, +8.465483e+03, +1.290311e+04
+1.556913e+04, +9.573182e+03, +1.590236e+04, +7.243884e+04, +3.963109e+04, +5.525804e+04
+8.403703e+03, +5.977621e+03, +8.465483e+03, +3.963109e+04, +2.570433e+04, +3.057329e+04
+1.194833e+04, +6.972100e+03, +1.290311e+04, +5.525804e+04, +3.057329e+04, +4.928900e+04

Timing offsets (from input data):
    UK000F: 0.000161 s
    UK002W: 0.000000 s
    UK003A: 0.000170 s

Reference point on the trajectory:
  Time: 2021-08-16 01:42:40.674530 UTC
  Lon     = +-0.492311 +/- 0.0009 deg
  Lat     = +51.570642 +/- 0.0003 deg
  Lat geo = +51.386300 +/- 0.0003 deg
  Ht      =  109931.42 +/- 104.10 m

  JD dynamic   = 2459442.572104844265 
  LST apparent = 349.8544339531 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  54.19537 +/- 0.2362 deg
  Dec       = +58.26338 +/- 0.1298 deg
  Azimuth   =  53.55209 +/- 0.2648 deg
  Elevation = +53.88279 +/- 0.0903 deg
  Vavg      =  59.38965 +/- 0.2007 km/s
  Vinit     =  60.00943 +/- 0.3191 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  54.42504 +/- 0.2362 deg
  Dec       = +58.04800 +/- 0.1298 deg
  Azimuth   =  53.83376 +/- 0.2648 deg
  Elevation = +53.70007 +/- 0.0903 deg
  Vavg      =  59.52992 +/- 0.2007 km/s
  Vinit     =  60.14970 +/- 0.3191 km/s
Radiant (geocentric, J2000):
  R.A.   =  54.34877 +/- 0.2440 deg
  Dec    = +58.09230 +/- 0.1293 deg
  Vg     =  58.97470 +/- 0.3247 km/s
  Vinf   =  60.00943 +/- 0.3191 km/s
  Zc     =  36.22699 +/- 0.0908 deg
  Zg     =  36.55296 +/- 0.0945 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.16770 +/- 0.1955 deg
  Bg     = +37.44718 +/- 0.0964 deg
  Vh     =  40.78904 +/- 0.2372 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  87.66138 +/- 0.7362 deg
  Bh     = +61.53636 +/- 0.2073 deg
  Vh_x   =  -0.79326 +/- 0.2618 km/s
  Vh_y   = -19.42391 +/- 0.2219 km/s
  Vh_z   = -35.85845 +/- 0.1523 km/s
Orbit:
  La Sun = 143.138736 +/- 0.0000 deg
  a      =  10.043573 +/- 4.1828 AU
  e      =   0.906905 +/- 0.0204
  i      = 114.068635 +/- 0.3617 deg
  peri   = 147.005965 +/- 0.7997 deg
  node   = 143.138559 +/- 0.0000 deg
  Pi     = 290.144524 +/- 0.7996 deg
  q      =   0.935006 +/- 0.0028 AU
  f      =  32.990397 +/- 0.7997 deg
  M      =   0.716302 +/- 0.2187 deg
  Q      =  19.152140 +/- 8.3631 AU
  n      =   0.030965 +/- 0.0091 deg/day
  T      =  31.829734 +/- 24.2541 years
  Last perihelion JD = 2459419.439492 (2021-07-23 22:32:52.078206) +/- 0.6219 days
  Tj     =   0.040747 +/- 0.1236
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.421393e-04, +5.785698e-05, +1.329086e-02, -8.760361e-09, +2.951587e-04, +1.258084e-04
q   , +5.785698e-05, +8.395934e-06, +1.853453e-03, -1.228748e-09, +4.183793e-05, +1.765178e-05
Tp  , +1.329086e-02, +1.853453e-03, +4.153605e-01, -2.750753e-07, +9.317864e-03, +3.951204e-03
node, -8.760361e-09, -1.228748e-09, -2.750753e-07, +2.074836e-13, -6.173821e-09, -2.980466e-09
peri, +2.951587e-04, +4.183793e-05, +9.317864e-03, -6.173821e-09, +2.095651e-04, +8.868510e-05
i   , +1.258084e-04, +1.765178e-05, +3.951204e-03, -2.980466e-09, +8.868510e-05, +4.281441e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.000421
 a2 = 33.161748

Mean time residuals from time vs. length:
  Station with reference time: UK002W
  Avg. res. = 4.014e-06 s
  Stddev    = 2.00e-03 s

Begin point on the trajectory:
  Lon =    -0.494234 +/- 0.0005 deg
  Lat =    51.569756 +/- 0.0001 deg
  Ht  = 109700.28 +/- 48.95 m
End point on the trajectory:
  Lon =    -0.652861 +/- 0.0006 deg
  Lat =    51.497275 +/- 0.0002 deg
  Ht  = 90875.05 +/- 53.32 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,  24.030254,   0.000000,   109700.28,    91885.01,          0.014446,     27.10,     14.85,              36.10, 0.3471,   False,    True, {"ff_name": "FF_UK000F_20210816_014234_345_0503552.fits"}
    UK002W,   False,    -2.374601,    51.371449,   48.00,   0.000000,   0.000000,   108282.42,    90875.05,          0.020930,      1.99,     57.05,              22.86, 0.1510,    True,    True, {"ff_name": "FF_UK002W_20210816_014239_517_0502016.fits"}
    UK003A,   False,    -2.395630,    52.113500,   85.00,   0.000000,   0.000000,   105450.80,    92281.20,          0.007296,     11.07,     19.41,              44.09, 0.4842,    True,    True, {"ff_name": "FF_UK003A_20210816_014235_451_0497408.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,     UK000F,       0,  0.013206, 2459442.571304103360,  20.06205,  30.08718,              121.56304,  58.44323,       121.54047,       58.41521,     20.06205,     +30.08718,      20.09264,      +30.07211,  3977577.99,  -711916.49,  5059161.79,      51.569756,       -0.494234,  109700.28,  128272.94,       0.00,              286.14,  -245.23,      0.00,           62188.05,     32.72,     59.72,         109.50,  +1.96,  +1.42
  1,     UK000F,       0,  0.053574, 2459442.571304570418,  19.68416,  29.48385,              122.75275,  58.15900,       122.74250,       58.14679,     19.68416,     +29.48385,      19.69773,      +29.47728,  3976798.01,  -712997.78,  5057006.16,      51.561910,       -0.511446,  107652.97,  126241.27,    2534.62,             2820.76,  -133.07,  62787.87,           62188.05,     14.14,     25.79,          48.06,  +0.73,  +0.22
  2,     UK000F,       0,  0.093942, 2459442.571305037942,  19.30499,  28.88131,              123.92889,  57.86831,       123.92776,       57.86702,     19.30499,     +28.88131,      19.30680,      +28.88061,  3976041.35,  -714046.73,  5054914.99,      51.554290,       -0.528153,  105667.19,  124288.05,    4993.46,             5279.60,   -96.69,  60910.49,           62188.05,      1.49,      2.72,           5.14,  +0.20,  -0.27
  3,     UK000F,       0,  0.134330, 2459442.571305505466,  18.88557,  28.24200,              125.18407,  57.56018,       125.17891,       57.55450,     18.88557,     +28.24200,      18.89240,      +28.23892,  3975254.73,  -715137.22,  5052741.00,      51.546362,       -0.545520,  103603.10,  122277.26,    7549.65,             7835.79,    35.84,  63290.98,           62188.05,      6.49,     11.83,          22.76,  -0.01,  -0.45
  4,     UK000F,       0,  0.174706, 2459442.571305972524,  18.51676,  27.63444,              126.32172,  57.24449,       126.32869,       57.25192,     18.51676,     +27.63444,      18.50926,      +27.63847,  3974542.43,  -716124.68,  5050772.44,      51.539176,       -0.561265,  101734.33,  120474.02,    9864.32,            10150.46,   -72.43,  57327.82,           61283.70,     -8.43,    -15.36,          30.00,  -0.42,  -0.82
  5,     UK000F,       0,  0.215142, 2459442.571306440514,  18.06771,  26.92034,              127.66088,  56.87171,       127.66780,       56.87881,     18.06771,     +26.92034,      18.06070,      +26.92420,  3973723.58,  -717259.85,  5048509.39,      51.530908,       -0.579347,   99586.37,  118424.02,   12525.24,            12811.38,   161.95,  65805.68,           61672.34,     -8.00,    -14.58,          28.96,  -0.54,  -0.91
  6,     UK000F,       0,  0.255538, 2459442.571306908038,  17.63145,  26.26662,              128.90337,  56.53365,       128.88931,       56.51969,     17.63145,     +26.26662,      17.64817,      +26.25898,  3972986.74,  -718281.33,  5046472.98,      51.523460,       -0.595639,   97653.80,  116600.12,   14919.68,            15205.82,   132.25,  59274.32,           61554.02,     15.61,     28.52,          57.51,  -0.72,  -1.05
  7,     UK000F,       0,  0.295970, 2459442.571307376027,  17.26608,  25.58944,              130.05328,  56.13339,       130.07400,       56.15335,     17.26608,     +25.58944,      17.24482,      +25.60039,  3972280.31,  -719260.66,  5044520.62,      51.516314,       -0.611269,   95801.28,  114871.17,   17215.29,            17501.43,     1.56,  56776.99,           61106.18,    -22.23,    -40.52,          82.99,  -0.78,  -1.08
  8,     UK000F,       0,  0.336402, 2459442.571307844017,  16.81813,  24.88742,              131.32094,  55.74232,       131.32485,       55.74599,     16.81813,     +24.88742,      16.81538,      +24.88944,  3971542.02,  -720284.15,  5042480.20,      51.508839,       -0.627601,   93865.50,  113086.25,   19614.44,            19900.58,   -25.60,  59337.88,           60779.24,     -4.05,     -7.40,          15.39,  -0.82,  -1.09
  9,     UK000F,       0,  0.376866, 2459442.571308312472,  16.36418,  24.13789,              132.61886,  55.30345,       132.61740,       55.30213,     16.36418,     +24.13789,      16.36726,      +24.13715,  3970786.55,  -721331.44,  5040392.34,      51.501183,       -0.644314,   91885.01,  111284.09,   22069.38,            22355.52,     1.12,  60669.77,           60606.87,      1.46,      2.66,           5.62,  -0.26,  -0.49
  0,     UK002W,       1,  0.000000, 2459442.571303953882,  57.71431,  35.23401,               79.70300,  38.84714,        79.64333,       38.80214,     57.71431,     +35.23401,      57.79326,      +35.23930,  3977676.60,  -711779.79,  5059434.33,      51.570748,       -0.492026,  109959.14,  173159.51,       0.00,               34.30,   295.44,      0.00,           60175.25,    195.43,     -6.58,         232.92,  +4.32,  +3.13
  1,     UK002W,       0,  0.040216, 2459442.571304419544,  57.80317,  34.96825,               79.89730,  38.61706,        79.88497,       38.60781,     57.80317,     +34.96825,      57.81958,      +34.96936,  3977037.83,  -712665.31,  5057668.96,      51.564323,       -0.506151,  108282.42,  171243.81,    2075.74,             2041.44,  -110.77,  51614.82,           60175.25,     39.90,     -1.37,          48.08,  +2.42,  +1.25
  2,     UK002W,       0,  0.080468, 2459442.571304885205,  57.84615,  34.60577,               80.21410,  38.35034,        80.20749,       38.34540,     57.84615,     +34.60577,      57.85516,      +34.60637,  3976202.28,  -713823.63,  5055359.75,      51.555911,       -0.524580,  106089.52,  168746.67,    4790.94,             4756.63,   188.93,  67454.88,           60175.25,     21.09,     -0.73,          25.79,  +1.35,  +0.21
  3,     UK002W,       0,  0.120700, 2459442.571305350866,  57.89364,  34.28079,               80.48965,  38.10479,        80.49537,       38.10905,     57.89364,     +34.28079,      57.88668,      +34.28027,  3975471.58,  -714836.60,  5053340.32,      51.548548,       -0.540722,  104172.09,  166567.47,    7165.41,             7131.11,   149.11,  59019.67,           60175.25,    -18.00,      0.63,          22.30,  +1.24,  +0.13
  4,     UK002W,       0,  0.160904, 2459442.571305816062,  57.88390,  33.95920,               80.80013,  37.89593,        80.77510,       37.87732,     57.88390,     +33.95920,      57.91719,      +33.96142,  3974774.91,  -715802.39,  5051414.94,      51.541522,       -0.556124,  102344.24,  164494.54,    9429.30,             9394.99,     0.37,  56309.87,           59529.90,     77.87,     -2.66,          97.70,  +0.82,  -0.26
  5,     UK002W,       0,  0.201168, 2459442.571306282189,  57.96337,  33.61306,               81.06884,  37.61478,        81.07945,       37.62264,     57.96337,     +33.61306,      57.95045,      +33.61211,  3974031.62,  -716832.81,  5049360.71,      51.534019,       -0.572551,  100394.35,  162289.26,   11844.69,            11810.38,    -0.46,  59988.88,           59411.05,    -32.57,      1.13,          41.42,  +0.85,  -0.20
  6,     UK002W,       0,  0.241404, 2459442.571306747850,  57.98419,  33.25952,               81.38351,  37.36389,        81.38465,       37.36473,     57.98419,     +33.25952,      57.98373,      +33.25942,  3973301.01,  -717845.66,  5047341.52,      51.526637,       -0.588704,   98478.01,  160127.51,   14218.89,            14184.58,   -40.80,  59006.78,           59325.30,     -3.44,      0.12,           4.43,  +0.48,  -0.54
  7,     UK002W,       0,  0.281660, 2459442.571307213977,  58.03020,  32.89624,               81.68699,  37.08990,        81.69752,       37.09764,     58.03020,     +32.89624,      58.01782,      +32.89531,  3972566.87,  -718863.40,  5045312.58,      51.519213,       -0.604938,   96552.71,  157961.68,   16604.54,            16570.23,   -70.89,  59262.01,           59284.29,    -31.48,      1.09,          41.14,  +0.55,  -0.44
  8,     UK002W,       0,  0.321924, 2459442.571307679638,  58.07139,  32.52227,               82.00123,  36.81063,        82.01695,       36.82214,     58.07139,     +32.52227,      58.05258,      +32.52088,  3971832.35,  -719881.65,  5043282.61,      51.511779,       -0.621185,   94626.72,  155801.35,   18991.41,            18957.10,  -100.24,  59280.49,           59264.91,    -46.35,      1.61,          61.40,  +0.24,  -0.72
  9,     UK002W,       0,  0.362212, 2459442.571308146231,  58.12731,  32.11367,               82.33381,  36.49758,        82.36389,       36.51954,     58.12731,     +32.11367,      58.09039,      +32.11100,  3971051.24,  -720964.52,  5041123.84,      51.503866,       -0.638457,   92578.86,  153512.09,   21529.72,            21495.41,    20.41,  63004.10,           59459.28,    -87.46,      3.07,         117.59,  +0.50,  -0.43
 10,     UK002W,       0,  0.402460, 2459442.571308611892,  58.16958,  31.76429,               82.61976,  36.23238,        82.65832,       36.26043,     58.16958,     +31.76429,      58.12217,      +31.76087,  3970401.26,  -721865.57,  5039327.51,      51.497275,       -0.652861,   90875.05,  151611.78,   23641.86,            23607.56,  -282.70,  52478.26,           59247.86,   -110.75,      3.90,         150.77,  +1.70,  +0.80
  0,     UK003A,       0,  0.090436, 2459442.571304996964,  37.43444,  14.27657,              115.12229,  35.53962,       115.11650,       35.53453,     37.43444,     +14.27657,      37.44181,      +14.27511,  3975958.89,  -714161.05,  5054687.08,      51.553459,       -0.529941,  105450.80,  178490.41,       0.00,             5547.57,   381.71,      0.00,           54408.57,     18.76,     10.71,          24.97,  +2.55,  +1.29
  1,     UK003A,       0,  0.130660, 2459442.571305462625,  37.33910,  13.75479,              115.58124,  35.16454,       115.59433,       35.17598,     37.33910,     +13.75479,      37.32388,      +13.75810,  3975256.28,  -715135.07,  5052745.30,      51.546378,       -0.545470,  103607.19,  176896.16,    2283.17,             7830.74,   251.06,  56761.41,           54408.57,    -42.02,    -23.95,          56.40,  +0.64,  -0.60
  2,     UK003A,       0,  0.170824, 2459442.571305927355,  37.21715,  13.30665,              116.01150,  34.86334,       116.00903,       34.86119,     37.21715,     +13.30665,      37.22082,      +13.30603,  3974652.02,  -715972.75,  5051075.31,      51.540282,       -0.558852,  102021.83,  175536.16,    4246.77,             9794.33,  -195.56,  48889.48,           54408.57,      7.84,      4.48,          10.61,  +0.49,  -0.73
  3,     UK003A,       0,  0.211044, 2459442.571306392550,  37.08575,  12.74791,              116.52389,  34.47478,       116.51746,       34.46920,     37.08575,     +12.74791,      37.09435,      +12.74629,  3973916.80,  -716991.99,  5049043.39,      51.532859,       -0.575102,  100093.17,  173898.96,    6635.93,            12183.50,  -219.98,  59402.33,           54408.57,     20.28,     11.58,          27.70,  -0.07,  -1.27
  4,     UK003A,       0,  0.251332, 2459442.571306859143,  36.94189,  12.05550,              117.13445,  33.98046,       117.13712,       33.98276,     36.94189,     +12.05550,      36.93974,      +12.05617,  3973029.12,  -718222.58,  5046590.10,      51.523889,       -0.594693,   97764.95,  171947.66,    9520.54,            15068.11,   246.98,  71599.86,           58170.20,     -8.32,     -4.75,          11.49,  -0.55,  -1.73
  5,     UK003A,       0,  0.291540, 2459442.571307324339,  36.81936,  11.53215,              117.60517,  33.61268,       117.60386,       33.61155,     36.81936,     +11.53215,      36.82214,      +11.53182,  3972367.69,  -719139.52,  5044762.12,      51.517198,       -0.609338,   96030.42,  170508.90,   11669.91,            17217.47,   -16.52,  53456.04,           58570.17,      4.05,      2.31,           5.64,  -0.45,  -1.61
  6,     UK003A,       0,  0.331776, 2459442.571307790000,  36.70098,  10.96360,              118.09805,  33.20347,       118.10366,       33.20826,     36.70098,     +10.96360,      36.69568,      +10.96500,  3971665.06,  -720113.57,  5042820.27,      51.510085,       -0.624888,   94188.10,  168997.70,   13953.16,            19500.72,  -147.81,  56746.48,           58517.50,    -17.19,     -9.81,          24.16,  -0.55,  -1.69
  7,     UK003A,       0,  0.372016, 2459442.571308255661,  36.55886,  10.36797,              118.62762,  32.78278,       118.62545,       32.78094,     36.55886,     +10.36797,      36.56299,      +10.36743,  3970937.70,  -721121.92,  5040810.05,      51.502715,       -0.640983,   92281.20,  167452.18,   16316.80,            21864.37,  -198.94,  58738.76,           58514.00,      6.57,      3.75,           9.33,  +0.11,  -1.01

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.