Orbital Analysis for matched events on 20210810_005743.070_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 57.34° Bg 37.57° Vg 59.57km/s
mass 0.02502g, abs. mag -0.9
Path Details
------------
start 1.73° 52.06° 107.61km
end   1.63° 52.02° 96.49km

Orbit Details
-------------
Semimajor axis 11.79A.U., eccentricity 0.92, inclination 115.22°, Period 40.46Y, LA Sun 137.35°, last Perihelion 2021-07-24

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: 2459436.540081835818
Time: 2021-08-10 00:57:43.087995 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK002F
 Convergence angle = 38.10078 deg
 R.A. =  41.58973  Dec = +55.81635 deg
Intersection 2 - Stations: UK000C and UK002K
 Convergence angle = 87.72808 deg
 R.A. =  41.88525  Dec = +55.68691 deg
Intersection 3 - Stations: UK000C and UK0032
 Convergence angle = 88.00717 deg
 R.A. =  41.59898  Dec = +55.81232 deg
Intersection 4 - Stations: UK002F and UK002K
 Convergence angle = 49.62762 deg
 R.A. =  41.70899  Dec = +55.54825 deg
Intersection 5 - Stations: UK002F and UK0032
 Convergence angle = 49.90639 deg
 R.A. =  41.59346  Dec = +55.80802 deg
Intersection 6 - Stations: UK002K and UK0032
 Convergence angle = 0.34571 deg
 R.A. = 122.11566  Dec = +69.52063 deg

Best intersection: Stations UK000C and UK0032 with Qconv = 88.01 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3619324.60 +/- 110.51 m
 Y =  -1694982.37 +/- 49.38 m
 Z =   5092715.57 +/- 59.73 m
 Vx =    25834.95 +/- 635.44 m/s
 Vy =    22209.88 +/- 356.21 m/s
 Vz =    50115.03 +/- 548.83 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.338907e+04, +3.572161e+03, +3.597025e+03, +6.574465e+04, +1.300842e+04, +6.478241e+03
+3.572161e+03, +2.434192e+03, +1.945585e+03, +1.288786e+04, +1.064312e+04, +8.471608e+02
+3.597025e+03, +1.945585e+03, +3.949766e+03, +1.324681e+04, +3.019566e+03, -2.862628e+02
+6.574465e+04, +1.288786e+04, +1.324681e+04, +4.137153e+05, +7.112463e+04, +6.060816e+04
+1.300842e+04, +1.064312e+04, +3.019566e+03, +7.112463e+04, +7.427117e+04, +1.319459e+04
+6.478241e+03, +8.471608e+02, -2.862628e+02, +6.060816e+04, +1.319459e+04, +1.524388e+04

Timing offsets (from input data):
    UK000C: -0.000307 s
    UK002F: -0.000888 s
    UK002K: 0.000299 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 00:57:43.087995 UTC
  Lon     = ++1.743387 +/- 0.0012 deg
  Lat     = +52.060230 +/- 0.0006 deg
  Lat geo = +51.876606 +/- 0.0006 deg
  Ht      =  108733.93 +/- 86.03 m

  JD dynamic   = 2459436.540882777888 
  LST apparent = 334.9056234718 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  40.68511 +/- 0.6531 deg
  Dec       = +55.79120 +/- 0.3982 deg
  Azimuth   =  57.50614 +/- 0.7680 deg
  Elevation = +52.56319 +/- 0.2562 deg
  Vavg      =  58.61057 +/- 0.3152 km/s
  Vinit     =  60.59901 +/- 0.3830 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  40.88462 +/- 0.6531 deg
  Dec       = +55.58373 +/- 0.3982 deg
  Azimuth   =  57.74804 +/- 0.7680 deg
  Elevation = +52.37886 +/- 0.2562 deg
  Vavg      =  58.76051 +/- 0.3152 km/s
  Vinit     =  60.74895 +/- 0.3830 km/s
Radiant (geocentric, J2000):
  R.A.   =  40.83682 +/- 0.6633 deg
  Dec    = +55.57238 +/- 0.3981 deg
  Vg     =  59.57431 +/- 0.3897 km/s
  Vinf   =  60.59901 +/- 0.3830 km/s
  Zc     =  37.53572 +/- 0.2571 deg
  Zg     =  37.86775 +/- 0.2613 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  57.33907 +/- 0.5777 deg
  Bg     = +37.57062 +/- 0.2944 deg
  Vh     =  40.92593 +/- 0.1856 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  72.14930 +/- 1.7628 deg
  Bh     = +62.57329 +/- 0.4626 deg
  Vh_x   =  -5.77856 +/- 0.6135 km/s
  Vh_y   = -17.94353 +/- 0.2668 km/s
  Vh_z   = -36.32589 +/- 0.1223 km/s
Orbit:
  La Sun = 137.347593 +/- 0.0000 deg
  a      =  11.785390 +/- 1.3150 AU
  e      =   0.917337 +/- 0.0158
  i      = 115.223969 +/- 0.7118 deg
  peri   = 156.703910 +/- 1.5167 deg
  node   = 137.346961 +/- 0.0001 deg
  Pi     = 294.050871 +/- 1.5167 deg
  q      =   0.974213 +/- 0.0053 AU
  f      =  23.292142 +/- 1.5167 deg
  M      =   0.410615 +/- 0.2053 deg
  Q      =  22.596567 +/- 2.6255 AU
  n      =   0.024361 +/- 0.0086 deg/day
  T      =  40.459133 +/- 5.9472 years
  Last perihelion JD = 2459419.685170 (2021-07-24 04:26:38.706262) +/- 1.0791 days
  Tj     =  -0.069032 +/- 0.1033
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.815836e-04, +7.620248e-05, +1.662907e-02, -1.400768e-08, +3.972698e-04, +1.873249e-04
q   , +7.620248e-05, +3.031992e-05, +6.209248e-03, -4.096460e-09, +1.526729e-04, +5.484125e-05
Tp  , +1.662907e-02, +6.209248e-03, +1.284408e+00, -8.762277e-07, +3.144720e-02, +1.172629e-02
node, -1.400768e-08, -4.096460e-09, -8.762277e-07, +9.237270e-13, -2.107023e-08, -1.237666e-08
peri, +3.972698e-04, +1.526729e-04, +3.144720e-02, -2.107023e-08, +7.714324e-04, +2.820026e-04
i   , +1.873249e-04, +5.484125e-05, +1.172629e-02, -1.237666e-08, +2.820026e-04, +1.658364e-04

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: UK0032
  Avg. res. = 1.627e-06 s
  Stddev    = 1.28e-03 s

Begin point on the trajectory:
  Lon =     1.732943 +/- 0.0008 deg
  Lat =    52.056129 +/- 0.0005 deg
  Ht  = 107605.91 +/- 42.06 m
End point on the trajectory:
  Lon =     1.628878 +/- 0.0006 deg
  Lat =    52.015572 +/- 0.0005 deg
  Ht  = 96490.63 +/- 36.86 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   106595.90,    97139.28,          0.035700,     54.65,    120.23,              22.61, 0.1479,    True,    True, {"ff_name": "FF_UK000C_20210810_005741_714_0419584.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   106324.64,    96894.08,          0.022431,     23.43,     88.61,              32.93, 0.2956,    True,    True, {"ff_name": "FF_UK002F_20210810_005739_518_0394240.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   107605.91,    96490.63,          0.009398,     35.56,     17.15,              65.61, 0.8294,    True,    True, {"ff_name": "FF_UK002K_20210810_005739_355_0411648.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   106328.18,    97084.14,          0.022793,     67.33,     32.05,              55.01, 0.6711,    True,    True, {"ff_name": "FF_UK0032_20210810_005736_585_0417792.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,     UK000C,       0,  0.040183, 2459436.540082506835,  64.81592,  39.01483,               61.63702,  28.08901,        61.66647,       28.09331,     64.81592,     +39.01483,      64.78865,      +38.99945,  3618176.55, -1695969.34,  5090488.56,      52.052455,       +1.723420,  106595.90,  220074.26,       0.00,             2692.90,   161.25,      0.00,           60107.60,    -91.97,     42.10,          94.80,  +2.44,  +0.73
  1,     UK000C,       0,  0.080379, 2459436.540082972031,  64.99324,  38.82159,               61.68155,  27.85486,        61.70930,       27.85891,     64.99324,     +38.82159,      64.96771,      +38.80711,  3617191.91, -1696815.81,  5088578.54,      52.045780,       +1.706268,  104762.50,  217943.89,    2309.59,             5002.49,    35.00,  57458.29,           60107.60,    -86.00,     39.36,          89.51,  +1.60,  -0.09
  2,     UK000C,       0,  0.120587, 2459436.540083437692,  65.16289,  38.60477,               61.74866,  27.60786,        61.75486,       27.60877,     65.16289,     +38.60477,      65.15766,      +38.60154,  3616162.28, -1697700.97,  5086581.25,      52.038793,       +1.688335,  102845.64,  215720.67,    4724.72,             7417.61,    13.56,  60065.73,           60107.60,    -19.08,      8.71,          20.05,  +1.44,  -0.23
  3,     UK000C,       0,  0.160811, 2459436.540083902888,  65.34881,  38.37602,               61.81387,  27.34299,        61.80338,       27.34145,     65.34881,     +38.37602,      65.35939,      +38.38148,  3615085.17, -1698626.94,  5084491.86,      52.031477,       +1.669577,  100840.74,  213399.98,    7251.20,             9944.09,   102.50,  62810.25,           60107.60,     32.02,    -14.60,          34.01,  +1.26,  -0.39
  4,     UK000C,       0,  0.201023, 2459436.540084368549,  65.49294,  38.12704,               61.92005,  27.08631,        61.85127,       27.07609,     65.49294,     +38.12704,      65.55844,      +38.16274,  3614038.56, -1699526.70,  5082461.63,      52.024360,       +1.651341,   98892.93,  211149.37,    9706.16,            12399.05,   120.66,  61050.44,           60565.12,    208.37,    -94.50,         223.50,  +1.06,  -0.56
  5,     UK000C,       0,  0.241235, 2459436.540084833745,  65.68878,  37.93377,               61.94863,  26.84034,        61.89491,       26.83238,     65.68878,     +37.93377,      65.74032,      +37.96164,  3613096.13, -1700336.89,  5080633.48,      52.017946,       +1.634898,   97139.28,  209125.93,   11916.75,            14609.64,  -105.56,  54973.45,           59896.99,    161.45,    -73.34,         174.90,  +1.59,  -0.01
  0,     UK002F,       1,  0.008351, 2459436.540081845596,  49.85317,  24.03381,               83.48820,  25.95491,        83.54873,       25.98966,     49.85317,     +24.03381,      49.78347,      +24.02302,  3618657.65, -1695555.74,  5091421.81,      52.055714,       +1.731956,  107491.81,  237129.41,       0.00,             1564.42,   961.72,      0.00,           52728.52,   -258.41,    -68.04,         232.43,  +6.09,  +4.22
  1,     UK002F,       0,  0.048443, 2459436.540082309395,  49.85510,  23.84091,               83.63064,  25.81071,        83.66341,       25.82954,     49.85510,     +23.84091,      49.81754,      +23.83509,  3618030.88, -1696094.57,  5090205.99,      52.051467,       +1.720979,  106324.64,  235880.00,    1470.17,             3034.59,     2.35,  36669.87,           52728.52,   -139.29,    -36.81,         125.99,  +2.15,  +0.29
  2,     UK002F,       0,  0.088631, 2459436.540082774591,  49.91375,  23.53111,               83.81671,  25.54475,        83.85171,       25.56485,     49.91375,     +23.53111,      49.87383,      +23.52490,  3617012.95, -1696969.66,  5088231.40,      52.044566,       +1.703252,  104429.31,  233862.90,    3857.84,             5422.25,   -45.33,  59412.50,           52728.52,   -147.69,    -39.02,         134.73,  +1.62,  -0.22
  3,     UK002F,       0,  0.128803, 2459436.540083239786,  49.94415,  23.20926,               84.03200,  25.28677,        84.04370,       25.29349,     49.94415,     +23.20926,      49.93120,      +23.20720,  3615988.28, -1697850.55,  5086243.73,      52.037611,       +1.685403,  102521.74,  231839.74,    6261.33,             7825.74,   -76.23,  59829.91,           52728.52,    -49.03,    -12.99,          45.13,  +1.60,  -0.23
  4,     UK002F,       0,  0.168999, 2459436.540083704982,  49.99914,  22.86997,               84.24046,  25.00030,        84.24723,       25.00418,     49.99914,     +22.86997,      49.99204,      +22.86878,  3614916.35, -1698772.08,  5084164.37,      52.030329,       +1.666734,  100526.52,  229731.71,    8775.68,            10340.10,     2.29,  62552.39,           55628.28,    -28.15,     -7.47,          26.15,  +1.11,  -0.70
  5,     UK002F,       0,  0.209219, 2459436.540084170643,  50.04712,  22.47360,               84.49483,  24.67505,        84.48229,       24.66785,     50.04712,     +22.47360,      50.06236,      +22.47580,  3613696.28, -1699820.95,  5081797.66,      52.022032,       +1.645502,   98256.00,  227344.02,   11637.50,            13201.92,   426.82,  71154.25,           58677.36,     51.70,     13.75,          48.53,  +1.22,  -0.56
  6,     UK002F,       0,  0.249371, 2459436.540084635373,  50.10521,  22.23670,               84.62375,  24.46231,        84.62499,       24.46302,     50.10521,     +22.23670,      50.10480,      +22.23648,  3612964.35, -1700450.18,  5080377.85,      52.017049,       +1.632694,   96894.08,  225912.79,   13354.33,            14918.75,  -289.52,  42758.20,           58060.74,     -5.07,     -1.35,           4.79,  +2.78,  +1.01
  0,     UK002K,       0,  0.017187, 2459436.540082036983,   9.93407,  -3.48317,              138.26993,  25.08220,       138.27617,       25.08728,      9.93407,      -3.48317,       9.92692,       -3.48075,  3618718.92, -1695503.07,  5091540.65,      52.056129,       +1.732943,  107605.91,  244772.76,       0.00,             1420.70,   282.59,      0.00,           58315.13,    -14.12,    -29.24,          27.36,  +3.96,  +2.02
  1,     UK002K,       0,  0.057419, 2459436.540082502645,   9.77704,  -3.92831,              138.62254,  24.73517,       138.62511,       24.73725,      9.77704,      -3.92831,       9.77430,       -3.92731,  3617771.34, -1696317.69,  5089702.53,      52.049708,       +1.716432,  105841.36,  243814.06,    2222.66,             3643.37,    67.24,  55246.13,           58315.13,     -5.79,    -12.00,          11.27,  +1.88,  -0.06
  2,     UK002K,       0,  0.097659, 2459436.540082968306,   9.63020,  -4.38786,              138.96894,  24.36999,       138.97967,       24.37868,      9.63020,      -4.38786,       9.61817,       -4.38369,  3616810.46, -1697143.74,  5087838.60,      52.043192,       +1.699688,  104052.32,  242859.00,    4476.52,             5897.22,  -117.41,  56010.39,           58315.13,    -24.10,    -49.92,          47.08,  +1.32,  -0.61
  3,     UK002K,       0,  0.137923, 2459436.540083434433,   9.43545,  -4.91319,              139.38929,  23.96186,       139.38847,       23.96119,      9.43545,      -4.91319,       9.43698,       -4.91351,  3615704.11, -1698094.85,  5085692.48,      52.035682,       +1.680429,  101992.78,  241781.84,    7071.60,             8492.30,    37.71,  64451.54,           58315.13,      1.84,      3.81,           3.61,  +0.92,  -1.00
  4,     UK002K,       0,  0.178195, 2459436.540083900560,   9.25380,  -5.44063,              139.79446,  23.54545,       139.79305,       23.54431,      9.25380,      -5.44063,       9.25619,       -5.44118,  3614611.78, -1699033.91,  5083573.56,      52.028259,       +1.661406,   99959.68,  240741.07,    9633.80,            11054.51,   159.47,  63622.49,           59914.37,      3.15,      6.52,           6.20,  +0.92,  -0.99
  5,     UK002K,       0,  0.218467, 2459436.540084366687,   9.07757,  -5.96388,              140.18962,  23.12965,       140.19096,       23.13073,      9.07757,      -5.96388,       9.07691,       -5.96335,  3613539.85, -1699955.43,  5081494.22,      52.020967,       +1.642730,   97964.92,  239741.96,   12148.13,            13568.84,   233.36,  62433.70,           60731.17,     -2.99,     -6.19,           5.91,  +0.77,  -1.13
  6,     UK002K,       0,  0.258651, 2459436.540084831417,   8.92318,  -6.34593,              140.50204,  22.83504,       140.48624,       22.82236,      8.92318,      -6.34593,       8.94266,       -6.35211,  3612747.50, -1700636.60,  5079957.21,      52.015572,       +1.628878,   96490.63,  239016.14,   14006.69,            15427.39,  -343.20,  46251.10,           59474.26,     34.98,     72.58,          69.53,  +1.73,  -0.16
  0,     UK0032,       1,  0.000000, 2459436.540081835818,  13.22821,   6.91486,              129.86800,  33.59794,       129.88458,       33.61252,     13.22821,      +6.91486,      13.20906,       +6.92134,  3619349.85, -1694960.67,  5092764.54,      52.060401,       +1.743895,  108780.95,  192902.49,       0.00,               59.21,   -37.40,      0.00,           60479.72,    -29.14,    -61.03,          72.32,  +5.49,  +4.06
  1,     UK0032,       0,  0.040156, 2459436.540082301013,  12.93382,   6.22710,              130.55948,  33.12360,       130.53280,       33.10028,     12.93382,      +6.22710,      12.96474,       +6.21668,  3618032.78, -1696092.93,  5090209.67,      52.051480,       +1.721015,  106328.18,  191073.85,    3089.34,             3030.13,   500.11,  76933.47,           60479.72,     46.30,     97.26,         116.28,  +3.51,  +2.10
  2,     UK0032,       0,  0.080304, 2459436.540082765277,  12.80328,   5.77326,              130.94499,  32.77983,       130.93976,       32.77528,     12.80328,      +5.77326,      12.80963,       +5.77122,  3617212.86, -1696797.81,  5088619.17,      52.045922,       +1.706704,  104801.50,  189949.33,    5012.56,             4953.35,    -9.60,  47903.35,           60479.72,      9.03,     18.95,          22.79,  +1.50,  +0.11
  3,     UK0032,       0,  0.120464, 2459436.540083230473,  12.60058,   5.20145,              131.46695,  32.36246,       131.45818,       32.35486,     12.60058,      +5.20145,      12.61116,       +5.19804,  3616172.04, -1697692.58,  5086600.19,      52.038859,       +1.688578,  102863.82,  188542.54,    7453.92,             7394.71,    -1.90,  60790.67,           60479.72,     15.02,     31.52,          38.20,  +0.99,  -0.39
  4,     UK0032,       0,  0.160620, 2459436.540083695203,  12.39898,   4.63024,              131.98296,  31.94322,       131.97109,       31.93298,     12.39898,      +4.63024,      12.41330,       +4.62562,  3615147.89, -1698573.03,  5084613.52,      52.031903,       +1.670735,  100957.47,  187179.06,    9856.20,             9796.99,   -33.03,  59823.66,           59960.43,     20.19,     42.37,          51.72,  +0.94,  -0.42
  5,     UK0032,       0,  0.200768, 2459436.540084159933,  12.19080,   4.07023,              132.49565,  31.53506,       132.47231,       31.51503,     12.19080,      +4.07023,      12.21843,       +4.06116,  3614152.34, -1699428.88,  5082682.34,      52.025134,       +1.653380,   99104.66,  185873.78,   12191.38,            12132.17,  -130.78,  58164.34,           59555.53,     39.36,     82.69,         101.63,  +0.69,  -0.66
  6,     UK0032,       0,  0.240944, 2459436.540084624663,  11.97360,   3.44613,              133.04658,  31.07149,       133.02153,       31.05011,     11.97360,      +3.44613,      12.00334,       +3.43639,  3613066.49, -1700362.37,  5080575.98,      52.017745,       +1.634462,   97084.14,  184474.08,   14738.38,            14679.17,   -18.41,  63396.01,           59822.63,     41.91,     88.08,         109.06,  +1.12,  -0.21

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.