Orbital Analysis for matched events on 20210810_024858.311_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 57.71° Bg 42.23° Vg 57.82km/s
mass 0.04049g, abs. mag -1.3
Path Details
------------
start -5.15° 50.66° 105.08km
end   -5.21° 50.63° 93.61km

Orbit Details
-------------
Semimajor axis 37.25A.U., eccentricity 0.97, inclination 108.14°, Period 227.37Y, LA Sun 137.42°, last Perihelion 2021-07-26

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: 2459436.617341566831
Time: 2021-08-10 02:48:58.311374 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0024
 Convergence angle = 5.51246 deg
 R.A. = 342.65345  Dec = +58.24855 deg
Intersection 2 - Stations: UK000H and UK003H
 Convergence angle = 15.07917 deg
 R.A. =  26.50122  Dec = +59.64135 deg
Intersection 3 - Stations: UK0024 and UK003H
 Convergence angle = 10.18817 deg
 R.A. =  48.99912  Dec = +57.49646 deg

Best intersection: Stations UK000H and UK003H with Qconv = 15.08 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4107795.29 +/- 151.57 m
 Y =   -294095.81 +/- 325.65 m
 Z =   4990640.54 +/- 114.54 m
 Vx =    23247.49 +/- 1250.46 m/s
 Vy =    18001.45 +/- 2855.31 m/s
 Vz =    51003.87 +/- 918.14 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.473995e+04, -5.245692e+04, +1.850377e+04, +1.670701e+05, -3.965202e+05, +1.054641e+05
-5.245692e+04, +1.145625e+05, -3.943451e+04, -3.453463e+05, +8.254260e+05, -2.252783e+05
+1.850377e+04, -3.943451e+04, +1.411736e+04, +1.210339e+05, -2.898094e+05, +7.847159e+04
+1.670701e+05, -3.453463e+05, +1.210339e+05, +1.307307e+06, -3.148908e+06, +7.440953e+05
-3.965202e+05, +8.254260e+05, -2.898094e+05, -3.148908e+06, +7.914684e+06, -1.737423e+06
+1.054641e+05, -2.252783e+05, +7.847159e+04, +7.440953e+05, -1.737423e+06, +5.016495e+05

Timing offsets (from input data):
    UK000H: 0.000469 s
    UK001K: 0.000000 s
    UK0024: 0.000000 s
    UK003E: 0.000000 s
    UK003H: 0.000407 s

Reference point on the trajectory:
  Time: 2021-08-10 02:48:58.311374 UTC
  Lon     = +-5.146896 +/- 0.0044 deg
  Lat     = +50.656068 +/- 0.0006 deg
  Lat geo = +50.470325 +/- 0.0006 deg
  Ht      =  105025.31 +/- 198.48 m

  JD dynamic   = 2459436.618142307736 
  LST apparent = 355.9049209356 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  37.75203 +/- 5.2438 deg
  Dec       = +60.03772 +/- 1.1838 deg
  Azimuth   =  51.87104 +/- 2.3062 deg
  Elevation = +64.93963 +/- 2.7659 deg
  Vavg      =  57.22876 +/- 0.1138 km/s
  Vinit     =  58.87184 +/- 0.3313 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  38.18502 +/- 5.2438 deg
  Dec       = +59.86837 +/- 1.1838 deg
  Azimuth   =  52.29307 +/- 2.3062 deg
  Elevation = +64.73112 +/- 2.7659 deg
  Vavg      =  57.32950 +/- 0.1138 km/s
  Vinit     =  58.97258 +/- 0.3313 km/s
Radiant (geocentric, J2000):
  R.A.   =  37.80981 +/- 5.2689 deg
  Dec    = +59.95605 +/- 1.2072 deg
  Vg     =  57.81601 +/- 0.3374 km/s
  Vinf   =  58.87184 +/- 0.3313 km/s
  Zc     =  25.17545 +/- 2.7599 deg
  Zg     =  25.40698 +/- 2.7870 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  57.70898 +/- 2.7026 deg
  Bg     = +42.23237 +/- 2.1615 deg
  Vh     =  41.55020 +/- 0.7352 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  77.45468 +/- 4.9966 deg
  Bh     = +69.27508 +/- 3.6409 deg
  Vh_x   =  -3.19385 +/- 1.0903 km/s
  Vh_y   = -14.35279 +/- 2.2435 km/s
  Vh_z   = -38.86149 +/- 1.6511 km/s
Orbit:
  La Sun = 137.421715 +/- nan deg
  a      =  37.252432 +/- 8.3700 AU
  e      =   0.973652 +/- 0.0592
  i      = 108.137078 +/- 2.0910 deg
  peri   = 159.320945 +/- 8.8722 deg
  node   = 137.422147 +/- 0.0001 deg
  Pi     = 296.743092 +/- 8.8724 deg
  q      =   0.981517 +/- 0.0336 AU
  f      =  20.675556 +/- 8.8722 deg
  M      =   0.064320 +/- 1.1393 deg
  Q      =  73.523348 +/- 16.7215 AU
  n      =   0.004335 +/- 0.0364 deg/day
  T      = 227.369698 +/- 54.3400 years
  Last perihelion JD = 2459421.780193 (2021-07-26 06:43:28.691745) +/- 6.0491 days
  Tj     =  -0.240138 +/- 0.3261
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.797012e-03, +1.857076e-03, +3.497178e-01, +1.269418e-07, +8.814424e-03, -1.942100e-03
q   , +1.857076e-03, +1.203167e-03, +2.147305e-01, +8.318165e-08, +5.515038e-03, -1.269690e-03
Tp  , +3.497178e-01, +2.147305e-01, +3.909457e+01, +1.511976e-05, +9.986785e-01, -2.311143e-01
node, +1.269418e-07, +8.318165e-08, +1.511976e-05, +6.067602e-12, +3.871243e-07, -9.279920e-08
peri, +8.814424e-03, +5.515038e-03, +9.986785e-01, +3.871243e-07, +2.555254e-02, -5.915495e-03
i   , -1.942100e-03, -1.269690e-03, -2.311143e-01, -9.279920e-08, -5.915495e-03, +1.419457e-03

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: UK0024
  Avg. res. = 4.945e-06 s
  Stddev    = 2.22e-03 s

Begin point on the trajectory:
  Lon =    -5.146584 +/- 0.0043 deg
  Lat =    50.656224 +/- 0.0005 deg
  Ht  = 105078.00 +/- 213.83 m
End point on the trajectory:
  Lon =    -5.206258 +/- 0.0045 deg
  Lat =    50.626870 +/- 0.0007 deg
  Ht  = 93606.04 +/- 140.72 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   102572.10,    94169.74,          0.021454,     75.38,     62.99,              87.52, 0.9981,    True,    True, {"ff_name": "FF_UK000H_20210810_024849_685_0584960.fits"}
    UK001K,    True,    -3.557111,    51.483925,   37.50,   0.000000,   0.000000,   104010.72,    98003.51,          2.418693,       nan,       nan,              78.47, 0.0000,    True,    True, {"ff_name": "FF_UK001K_20210810_024855_754_0566016.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   105078.00,    94001.29,          0.006061,     16.39,     11.50,              78.62, 0.9611,    True,    True, {"ff_name": "FF_UK0024_20210810_024855_582_0580608.fits"}
    UK003E,    True,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   110546.63,   100467.02,          1.811699,       nan,       nan,              90.13, 0.0000,    True,    True, {"ff_name": "FF_UK003E_20210810_024849_651_0583936.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   103507.82,    93606.04,          0.019472,     72.66,     33.66,              87.08, 0.9974,    True,    True, {"ff_name": "FF_UK003H_20210810_024849_270_0580608.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,     UK000H,       0,  0.041062, 2459436.617342037614, 286.59704,  14.26981,              265.78290,  21.92154,       265.78156,       21.92182,    286.59704,     +14.26981,     286.59838,      +14.26921,  4106729.66,  -294920.97,  4988302.60,      50.649824,       -5.159578,  102572.10,  262479.67,       0.00,             2698.60,   106.64,      0.00,           59120.69,     -3.75,      4.49,           4.60,  +1.91,  -0.19
  1,     UK000H,       0,  0.081422, 2459436.617342505138, 286.37008,  13.86115,              265.67775,  21.46775,       265.67225,       21.46890,    286.37008,     +13.86115,     286.37520,      +13.85871,  4105891.31,  -295570.14,  4986463.30,      50.644907,       -5.169595,  100648.62,  262416.60,    2123.03,             4821.63,  -146.40,  52602.30,           59120.69,    -15.40,     18.45,          18.89,  +1.63,  -0.46
  2,     UK000H,       0,  0.121890, 2459436.617342973128, 286.05317,  13.33071,              265.56112,  20.86408,       265.52879,       20.87085,    286.05317,     +13.33071,     286.08186,      +13.31634,  4104784.43,  -296427.24,  4984034.86,      50.638409,       -5.182772,   98109.37,  262356.26,    4926.09,             7624.69,   274.24,  69266.22,           59120.69,    -90.91,    108.80,         111.46,  +1.40,  -0.69
  3,     UK000H,       0,  0.162258, 2459436.617343440652, 285.85693,  12.91161,              265.42759,  20.42074,       265.42201,       20.42191,    285.85693,     +12.91161,     285.86249,      +12.90913,  4103954.38,  -297069.98,  4982213.77,      50.633533,       -5.192700,   96205.18,  262333.42,    7028.10,             9726.70,    -0.29,  52071.09,           59120.69,    -15.73,     18.85,          19.30,  +1.03,  -1.06
  4,     UK000H,       0,  0.202630, 2459436.617343907710, 285.59540,  12.49018,              265.34572,  19.93412,       265.30851,       19.94192,    285.59540,     +12.49018,     285.62879,      +12.47360,  4103067.05,  -297757.08,  4980267.01,      50.628315,       -5.203305,   94169.74,  262326.93,    9275.18,            11973.78,  -129.99,  55659.36,           58063.11,   -105.24,    125.92,         129.04,  +1.75,  -0.34
  0,     UK001K,       1, -1.121021, 2459436.617328592110, 319.63076,   5.95336,              227.99428,  34.75942,       230.96728,       34.81459,    319.63076,      +5.95336,     317.49177,       +7.16524,  4107353.08,  -294438.23,  4989670.35,      50.653478,       -5.147403,  104010.72,  179195.29,       0.00,             1119.85, 66941.84,     -0.00,           54282.30,    966.12,  -7574.40,        8791.90,  +1.23,  -0.04
  1,     UK001K,       1, -1.080453, 2459436.617329061497, 319.26637,   5.39306,              228.06734,  34.09475,       230.98326,       34.14912,    319.26637,      +5.39306,     317.15371,       +6.59054,  4106519.56,  -295083.66,  4987841.65,      50.648592,       -5.157361,  102098.66,  178809.76,    2110.80,             3230.65, 66664.33,  52031.16,           54282.30,    957.79,  -7471.75,        8692.08,  +0.23,  -1.03
  2,     UK001K,       1, -1.039869, 2459436.617329531349, 318.93155,   4.80230,              228.09187,  33.41666,       230.99924,       33.47140,    318.93155,      +4.80230,     316.81027,       +6.00502,  4105674.24,  -295738.23,  4985987.05,      50.643633,       -5.167462,  100159.64,  178443.42,    4251.50,             5371.35, 66415.77,  52747.29,           54282.30,    959.96,  -7493.74,        8735.48,  +0.24,  -1.02
  3,     UK001K,       1, -0.999225, 2459436.617330001667, 318.51649,   4.16612,              228.17579,  32.66102,       231.01645,       32.71477,    318.51649,      +4.16612,     316.42794,       +5.35094,  4104734.20,  -296466.14,  4983924.65,      50.638114,       -5.178680,   98003.51,  178064.62,    6632.04,             7751.89, 66403.53,  58570.67,           54282.30,    949.59,  -7368.64,        8608.69,  +0.54,  -0.71
  0,     UK0024,       0,  0.000000, 2459436.617341566831, 295.73054,  20.22160,              261.82095,  32.86965,       261.82917,       32.86821,    295.73054,     +20.22160,     295.72402,      +20.22512,  4107821.85,  -294075.25,  4990698.80,      50.656224,       -5.146584,  105078.00,  189875.06,       0.00,               67.25,  -107.33,      0.00,           60618.31,     13.43,    -19.15,          25.41,  +4.48,  +3.09
  1,     UK0024,       0,  0.040696, 2459436.617342038080, 295.26923,  19.50462,              261.64131,  32.04545,       261.62802,       32.04778,    295.26923,     +19.50462,     295.27999,      +19.49891,  4106708.14,  -294937.64,  4988255.38,      50.649698,       -5.159831,  102522.73,  189335.78,    2820.35,             2753.10,   182.67,  69302.97,           60618.31,    -21.83,     31.10,          41.40,  +2.24,  +0.85
  2,     UK0024,       0,  0.081276, 2459436.617342507467, 294.90474,  18.88593,              261.46436,  31.35363,       261.46102,       31.35422,    294.90474,     +18.88593,     294.90775,      +18.88449,  4105772.14,  -295662.42,  4986201.84,      50.644208,       -5.170996,  100375.28,  188915.55,    5190.67,             5123.42,   163.97,  58410.87,           60618.31,     -5.51,      7.85,          10.47,  +1.87,  +0.49
  3,     UK0024,       0,  0.121820, 2459436.617342976853, 294.55596,  18.30666,              261.30980,  30.69996,       261.30602,       30.70063,    294.55596,     +18.30666,     294.55951,      +18.30502,  4104894.19,  -296342.25,  4984275.65,      50.639054,       -5.181483,   98361.09,  188548.31,    7414.00,             7346.75,     0.40,  54837.44,           60618.31,     -6.28,      8.94,          11.95,  +1.77,  +0.39
  4,     UK0024,       0,  0.162420, 2459436.617343446705, 294.18082,  17.66194,              261.13220,  29.97921,       261.13707,       29.97836,    294.18082,     +17.66194,     294.17757,      +17.66405,  4103927.81,  -297090.56,  4982155.47,      50.633376,       -5.193015,   96144.24,  188172.75,    9861.24,             9793.99,    57.45,  60276.96,           59898.80,      8.11,    -11.57,          15.49,  +1.73,  +0.36
  5,     UK0024,       0,  0.203004, 2459436.617343916558, 293.80923,  17.04103,              260.97475,  29.27736,       260.97549,       29.27723,    293.80923,     +17.04103,     293.80948,      +17.04135,  4102993.60,  -297813.96,  4980105.85,      50.627883,       -5.204173,   94001.29,  187839.73,   12227.04,            12159.79,    33.99,  58293.89,           59463.92,      1.24,     -1.76,           2.37,  +2.95,  +1.58
  0,     UK003E,       1, -1.315813, 2459436.617326337378, 294.78574,   8.91588,              255.18273,  22.76869,       253.21433,       23.02866,    294.78574,      +8.91588,     296.39608,       +8.02074,  4110201.92,  -292232.27,  4995920.56,      50.670149,       -5.113162,  110546.63,  270116.05,       0.00,             6094.53, 83384.30,     -0.00,           52170.53,  -4350.52,   7458.31,        6594.51,  +4.63,  +2.47
  1,     UK003E,       1, -1.275433, 2459436.617326804902, 294.62206,   8.53777,              255.07141,  22.37047,       253.15514,       22.62349,    294.62206,      +8.53777,     296.19334,       +7.66474,  4109442.40,  -292820.39,  4994254.22,      50.665708,       -5.122239,  108804.02,  270088.07,    1923.39,             4171.13, 79083.66,  47632.27,           52170.53,  -4241.61,   7284.14,        6438.32,  +3.24,  +1.08
  2,     UK003E,       1, -1.235009, 2459436.617327272892, 294.39030,   8.14412,              255.00846,  21.91865,       253.08952,       22.17229,    294.39030,      +8.14412,     295.96805,       +7.26815,  4108596.58,  -293475.35,  4992398.52,      50.660760,       -5.132331,  106863.49,  270071.91,    4065.35,             2029.17, 74561.87,  52987.34,           52170.53,  -4261.90,   7316.43,        6467.82,  +1.97,  -0.19
  3,     UK003E,       1, -1.194565, 2459436.617327740882, 294.13276,   7.73873,              254.96046,  21.44177,       253.02102,       21.69852,    294.13276,      +7.73873,     295.73196,       +6.85159,  4107708.44,  -294163.07,  4990449.98,      50.655559,       -5.142924,  104825.99,  270072.76,    6314.48,              219.95, 70371.63,  55610.89,           52170.53,  -4324.94,   7416.97,        6558.43,  +1.80,  -0.36
  4,     UK003E,       1, -1.154149, 2459436.617328208406, 293.91890,   7.34392,              254.88333,  20.99945,       252.95731,       21.25459,    293.91890,      +7.34392,     295.51109,       +6.46122,  4106876.35,  -294807.38,  4988624.43,      50.650684,       -5.152863,  102917.22,  270091.25,    8421.64,             2327.11, 70099.43,  52136.79,           52535.17,  -4307.30,   7388.63,        6532.48,  +1.57,  -0.59
  5,     UK003E,       1, -1.113617, 2459436.617328677792, 293.63525,   6.84267,              254.79685,  20.43029,       252.87585,       20.68508,    293.63525,      +6.84267,     295.22843,       +5.96015,  4105808.18,  -295634.51,  4986280.91,      50.644419,       -5.165580,  100467.02,  270136.22,   11126.68,             5032.16, 70418.28,  66738.50,           54674.32,  -4313.25,   7397.95,        6539.84,  +3.14,  +0.98
  0,     UK003H,       0,  0.015199, 2459436.617341739126, 300.16844,   7.36361,              248.99590,  25.06417,       249.03490,       25.06027,    300.16844,      +7.36361,     300.13738,       +7.38122,  4107137.44,  -294605.21,  4989197.25,      50.652214,       -5.154681,  103507.82,  235705.13,       0.00,             1665.94,   596.56,      0.00,           54478.64,     61.42,   -132.68,         127.94,  +3.73,  +1.87
  1,     UK003H,       0,  0.055543, 2459436.617342206184, 299.93943,   7.02739,              248.98083,  24.65861,       248.98740,       24.65796,    299.93943,      +7.02739,     299.93440,       +7.03037,  4106481.40,  -295113.21,  4987757.93,      50.648368,       -5.162555,  102002.46,  235644.89,    1661.35,             3327.28,  -117.22,  41179.56,           54478.64,     10.40,    -22.43,          21.64,  +1.47,  -0.39
  2,     UK003H,       0,  0.096047, 2459436.617342675105, 299.62985,   6.50953,              248.92048,  24.05889,       248.91661,       24.05928,    299.62985,      +6.50953,     299.63336,       +6.50777,  4105504.81,  -295869.42,  4985615.34,      50.642639,       -5.174198,   99761.94,  235572.24,    4134.46,             5800.40,   -28.65,  61058.51,           54478.64,     -6.14,     13.24,          12.78,  +1.09,  -0.77
  3,     UK003H,       0,  0.136527, 2459436.617343143560, 299.36138,   5.99264,              248.82586,  23.48365,       248.84895,       23.48134,    299.36138,      +5.99264,     299.34332,       +6.00316,  4104562.64,  -296598.98,  4983548.26,      50.637107,       -5.185441,   97600.50,  235527.16,    6520.41,             8186.35,   -25.83,  58941.41,           54478.64,     36.82,    -79.47,          76.70,  +0.77,  -1.09
  4,     UK003H,       0,  0.177055, 2459436.617343612481, 299.03084,   5.45373,              248.77302,  22.85418,       248.77604,       22.85388,    299.03084,      +5.45373,     299.02913,       +5.45511,  4103539.93,  -297390.91,  4981304.48,      50.631096,       -5.197636,   95254.51,  235504.84,    9110.32,            10776.26,   178.12,  63904.29,           57033.04,      4.85,    -10.45,          10.09,  +0.95,  -0.91
  5,     UK003H,       0,  0.217427, 2459436.617344080005, 298.78781,   5.08088,              248.74967,  22.41020,       248.72559,       22.41261,    298.78781,      +5.08088,     298.80827,       +5.06983,  4102821.33,  -297947.35,  4979727.90,      50.626870,       -5.206258,   93606.04,  235509.16,   10930.11,            12596.05,  -378.87,  45075.48,           56057.71,    -38.76,     83.49,          80.62,  +2.13,  +0.27

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.