Orbital Analysis for matched events on 20210816_030829.620_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 70.60° Bg 37.41° Vg 57.76km/s
mass 0.03604g, abs. mag -1.2
Path Details
------------
start 1.48° 51.59° 106.40km
end   1.41° 51.56° 95.05km

Orbit Details
-------------
Semimajor axis 6.56A.U., eccentricity 0.86, inclination 112.28°, Period 16.81Y, LA Sun 143.20°, last Perihelion 2021-07-18

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: 2459442.630898382980
Time: 2021-08-16 03:08:29.656419 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK000F
 Convergence angle = 26.32724 deg
 R.A. =  59.64280  Dec = +58.74401 deg
Intersection 2 - Stations: UK000C and UK002C
 Convergence angle = 4.92790 deg
 R.A. =  57.86623  Dec = +59.48876 deg
Intersection 3 - Stations: UK000C and UK002F
 Convergence angle = 25.10409 deg
 R.A. =  54.67467  Dec = +60.69224 deg
Intersection 4 - Stations: UK000C and UK002N
 Convergence angle = 0.73797 deg
 R.A. = 271.89361  Dec = -27.94378 deg
Intersection 5 - Stations: UK000F and UK002C
 Convergence angle = 21.40060 deg
 R.A. =  59.85573  Dec = +58.49001 deg
Intersection 6 - Stations: UK000F and UK002F
 Convergence angle = 1.84099 deg
 R.A. = 257.22011  Dec = -13.66532 deg
Intersection 7 - Stations: UK000F and UK002N
 Convergence angle = 25.74926 deg
 R.A. =  58.81088  Dec = +59.69877 deg
Intersection 8 - Stations: UK002C and UK002F
 Convergence angle = 20.17986 deg
 R.A. =  54.17308  Dec = +61.12490 deg
Intersection 9 - Stations: UK002C and UK002N
 Convergence angle = 4.38045 deg
 R.A. =  47.93385  Dec = +63.35170 deg
Intersection 10 - Stations: UK002F and UK002N
 Convergence angle = 24.55291 deg
 R.A. =  53.47213  Dec = +61.70730 deg

Best intersection: Stations UK000C and UK000F with Qconv = 26.33 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3928293.78 +/- 75.78 m
 Y =    931294.69 +/- 518.17 m
 Z =   5057788.79 +/- 365.16 m
 Vx =    15496.61 +/- 1253.10 m/s
 Vy =    26153.79 +/- 3182.89 m/s
 Vz =    50350.65 +/- 3031.67 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.310657e+03, +2.859029e+04, +2.171207e+04, -6.622737e+03, +1.235200e+05, +1.878545e+04
+2.859029e+04, +2.528389e+05, +1.778432e+05, -6.639587e+04, +1.245479e+06, +3.019603e+05
+2.171207e+04, +1.778432e+05, +1.335339e+05, -4.173679e+04, +8.229918e+05, +2.242181e+05
-6.622737e+03, -6.639587e+04, -4.173679e+04, +4.473443e+04, -2.220064e+05, +1.757548e+04
+1.235200e+05, +1.245479e+06, +8.229918e+05, -2.220064e+05, +8.318457e+06, +2.261241e+06
+1.878545e+04, +3.019603e+05, +2.242181e+05, +1.757548e+04, +2.261241e+06, +1.230013e+06

Timing offsets (from input data):
    UK000C: 0.000000 s
    UK000F: -0.001396 s
    UK002C: -0.001077 s
    UK002F: -0.000943 s
    UK002N: -0.000175 s

Reference point on the trajectory:
  Time: 2021-08-16 03:08:29.656419 UTC
  Lon     = ++1.477513 +/- 0.0069 deg
  Lat     = +51.587202 +/- 0.0008 deg
  Lat geo = +51.402784 +/- 0.0008 deg
  Ht      =  106383.86 +/- 400.96 m

  JD dynamic   = 2459442.631699542049 
  LST apparent = 13.3370889050 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  59.35246 +/- 2.9052 deg
  Dec       = +58.87777 +/- 1.7944 deg
  Azimuth   =  56.02202 +/- 3.5367 deg
  Elevation = +63.35418 +/- 1.7006 deg
  Vavg      =  57.25623 +/- 3.0319 km/s
  Vinit     =  58.81627 +/- 2.3998 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  59.73511 +/- 2.9052 deg
  Dec       = +58.70089 +/- 1.7944 deg
  Azimuth   =  56.37612 +/- 3.5367 deg
  Elevation = +63.14157 +/- 1.7006 deg
  Vavg      =  57.36635 +/- 3.0319 km/s
  Vinit     =  58.92639 +/- 2.3998 km/s
Radiant (geocentric, J2000):
  R.A.   =  59.38003 +/- 2.8793 deg
  Dec    = +58.79784 +/- 1.8128 deg
  Vg     =  57.75959 +/- 2.4421 km/s
  Vinf   =  58.81627 +/- 2.3998 km/s
  Zc     =  26.74929 +/- 1.6913 deg
  Zg     =  26.99626 +/- 1.6889 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  70.59899 +/- 1.2912 deg
  Bg     = +37.40506 +/- 2.1202 deg
  Vh     =  40.21094 +/- 1.5985 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  96.16602 +/- 1.4709 deg
  Bh     = +60.75588 +/- 4.1975 deg
  Vh_x   =   2.10999 +/- 0.3066 km/s
  Vh_y   = -19.53067 +/- 3.3284 km/s
  Vh_z   = -35.08590 +/- 0.8093 km/s
Orbit:
  La Sun = 143.196005 +/- 0.0000 deg
  a      =   6.562344 +/- 42.2893 AU
  e      =   0.864152 +/- 0.1338
  i      = 112.278036 +/- 3.8718 deg
  peri   = 137.889206 +/- 2.6985 deg
  node   = 143.196497 +/- 0.0002 deg
  Pi     = 281.085704 +/- 2.6987 deg
  q      =   0.891479 +/- 0.0205 AU
  f      =  42.107471 +/- 2.6985 deg
  M      =   1.684991 +/- nan deg
  Q      =  12.233209 +/- 84.5784 AU
  n      =   0.058629 +/- 0.0665 deg/day
  T      =  16.810828 +/- 489897847.1980 years
  Last perihelion JD = 2459413.892022 (2021-07-18 09:24:30.665248) +/- 1.4720 days
  Tj     =   0.364598 +/- 0.8561
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.088785e-02, -1.477436e-03, +3.405780e-02, -3.479014e-07, -2.223425e-03, +5.677545e-03
q   , -1.477436e-03, +4.456186e-04, +1.386970e-02, +7.906387e-08, +9.848631e-04, -1.245157e-03
Tp  , +3.405780e-02, +1.386970e-02, +1.507982e+00, +1.341919e-06, +4.470305e-02, -1.859277e-02
node, -3.479014e-07, +7.906387e-08, +1.341919e-06, +1.545026e-11, +1.603265e-07, -2.465619e-07
peri, -2.223425e-03, +9.848631e-04, +4.470305e-02, +1.603265e-07, +2.360317e-03, -2.492692e-03
i   , +5.677545e-03, -1.245157e-03, -1.859277e-02, -2.465619e-07, -2.492692e-03, +3.943259e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 12.347152
 a2 = 8.421897

Mean time residuals from time vs. length:
  Station with reference time: UK000C
  Avg. res. = 1.366e-06 s
  Stddev    = 1.17e-03 s

Begin point on the trajectory:
  Lon =     1.477602 +/- 0.0066 deg
  Lat =    51.587239 +/- 0.0006 deg
  Ht  = 106398.87 +/- 338.29 m
End point on the trajectory:
  Lon =     1.409707 +/- 0.0056 deg
  Lat =    51.559034 +/- 0.0003 deg
  Ht  = 95051.09 +/- 181.25 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,   106398.87,    96041.12,          0.028265,     68.04,     61.23,              31.46, 0.2724,    True,    True, {"ff_name": "FF_UK000C_20210816_030826_232_0633856.fits"}
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.350197,  45.195728,   104207.85,    98513.48,          0.021960,     31.31,     78.14,              44.10, 0.4843,    True,    True, {"ff_name": "FF_UK000F_20210816_030829_004_0632320.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,  12.635384,   0.000000,   105783.58,    95051.09,          0.014499,     43.59,     46.75,              41.76, 0.4436,    True,    True, {"ff_name": "FF_UK002C_20210816_030822_341_0633600.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,  39.041316,   0.000000,   102859.15,    96492.55,          0.026420,     37.54,     94.11,              44.10, 0.4843,    True,    True, {"ff_name": "FF_UK002F_20210816_030826_765_0630016.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   104848.68,    96556.17,          0.035113,     84.79,     75.97,              31.46, 0.2724,    True,    True, {"ff_name": "FF_UK002N_20210816_030827_076_0640768.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,  0.000000, 2459442.630898801144,  88.44527,  33.59414,               75.93908,  33.09759,        75.90800,       33.08898,     88.44527,     +33.59414,      88.47427,      +33.60722,  3928298.21,   931302.16,  5057803.17,      51.587239,       +1.477602,  106398.87,  191166.88,       0.00,               16.80,    -6.69,      0.00,           60079.45,     61.22,    -68.03,          98.75,  +2.39,  +0.98
  1,     UK000C,       0,  0.040268, 2459442.630899267271,  88.65976,  33.28849,               76.05777,  32.75769,        76.03981,       32.75272,     88.65976,     +33.28849,      88.67671,      +33.29605,  3927710.06,   930309.52,  5055892.18,      51.582291,       +1.465649,  104403.72,  189263.75,    2232.30,             2215.50,  -176.40,  55435.98,           60079.45,     35.11,    -39.05,          57.23,  +1.53,  +0.14
  2,     UK000C,       0,  0.080556, 2459442.630899733398,  88.86880,  32.93065,               76.22271,  32.38434,        76.18687,       32.37442,     88.86880,     +32.93065,      88.90262,      +32.94572,  3927062.79,   929217.12,  5053789.12,      51.576841,       +1.452507,  102208.20,  187178.84,    4688.95,             4672.15,   -89.34,  60977.23,           60079.45,     69.61,    -77.35,         114.67,  +1.19,  -0.17
  3,     UK000C,       0,  0.120872, 2459442.630900199991,  89.11330,  32.55913,               76.37207,  31.97896,        76.34237,       31.97075,     89.11330,     +32.55913,      89.14159,      +32.57162,  3926388.07,   928078.39,  5051596.86,      51.571153,       +1.438808,   99919.75,  185015.73,    7249.80,             7233.00,   100.28,  63519.59,           60079.45,     57.24,    -63.62,          95.41,  +0.68,  -0.66
  4,     UK000C,       0,  0.161172, 2459442.630900666583,  89.33103,  32.19498,               76.53061,  31.59391,        76.49045,       31.58280,     89.33103,     +32.19498,      89.36929,      +32.21185,  3925754.23,   927008.65,  5049537.43,      51.565806,       +1.425923,   97770.12,  182992.56,    9655.49,             9638.69,   135.67,  59694.49,           60376.52,     76.85,    -85.37,         129.47,  +0.46,  -0.85
  5,     UK000C,       0,  0.201424, 2459442.630901132245,  89.52469,  31.90367,               76.64191,  31.27332,        76.61087,       31.26473,     89.52469,     +31.90367,      89.55461,      +31.91672,  3925244.39,   926148.19,  5047880.88,      51.561501,       +1.415522,   96041.12,  181370.14,   11590.56,            11573.76,  -296.73,  48073.87,           58705.78,     59.04,    -65.63,         100.40,  +1.46,  +0.17
  0,     UK000F,       0,  0.035097, 2459442.630898960866,  76.71291,  15.91548,               98.82360,  27.10826,        98.84385,       27.11734,     76.71291,     +15.91548,      76.69254,      +15.91107,  3927652.31,   930212.07,  5055704.56,      51.581805,       +1.464603,  104207.85,  221849.73,       0.00,             2434.66,   346.90,      0.00,           52667.93,    -72.52,     29.05,          72.64,  +3.81,  +2.08
  1,     UK000F,       0,  0.075441, 2459442.630899427924,  76.79958,  15.53441,               99.02199,  26.76056,        99.04164,       26.76936,     76.79958,     +15.53441,      76.77997,      +15.53012,  3927090.23,   929263.43,  5053878.26,      51.577072,       +1.453167,  102301.26,  220331.72,    2133.36,             4568.02,   107.38,  52879.24,           52667.93,    -70.07,     28.07,          70.66,  +1.51,  -0.21
  2,     UK000F,       0,  0.115793, 2459442.630899894983,  76.89915,  15.15030,               99.21023,  26.40220,        99.24109,       26.41601,     76.89915,     +15.15030,      76.86835,      +15.14356,  3926527.70,   928314.04,  5052050.54,      51.572331,       +1.441718,  100393.31,  218822.90,    4268.39,             6703.05,  -130.95,  52910.10,           52667.93,   -109.52,     43.90,         111.23,  +0.78,  -0.92
  3,     UK000F,       0,  0.156145, 2459442.630900362041,  76.96930,  14.76036,               99.42565,  26.05679,        99.43910,       26.06281,     76.96930,     +14.76036,      76.95629,      +14.75742,  3925973.43,   927378.59,  5050249.63,      51.567656,       +1.430431,   98513.48,  217346.41,    6372.09,             8806.75,  -400.60,  52133.79,           52667.93,    -47.52,     19.02,          48.58,  +2.83,  +1.14
  0,     UK002C,       0,  0.011398, 2459442.630898671690,  90.50556,  22.92448,               82.23170,  23.55714,        82.20198,       23.54789,     90.50556,     +22.92448,      90.53422,      +22.93593,  3928116.83,   930996.04,  5057213.85,      51.585714,       +1.474015,  105783.58,  253998.33,       0.00,              671.61,   -22.26,      0.00,           57812.94,     93.32,    -86.96,         103.58,  +4.56,  +2.54
  1,     UK002C,       0,  0.051718, 2459442.630899138283,  90.69987,  22.60517,               82.32047,  23.20018,        82.32939,       23.20295,     90.69987,     +22.60517,      90.69144,      +22.60173,  3927485.87,   929931.16,  5055163.77,      51.580404,       +1.461203,  103643.27,  252218.61,    2394.77,             3066.38,     1.04,  59394.05,           57812.94,    -27.85,     26.00,          31.16,  +2.80,  +0.79
  2,     UK002C,       0,  0.092006, 2459442.630899604876,  90.84882,  22.29776,               82.43314,  22.87971,        82.44663,       22.88390,     90.84882,     +22.29776,      90.83614,      +22.29256,  3926910.05,   928959.34,  5053292.84,      51.575554,       +1.449491,  101690.12,  250602.50,    4580.27,             5251.88,  -183.06,  54246.88,           57812.94,    -41.92,     39.15,          47.21,  +1.96,  -0.03
  3,     UK002C,       0,  0.132330, 2459442.630900071468,  90.98733,  21.93457,               82.59283,  22.52380,        82.57973,       22.51973,     90.98733,     +21.93457,      91.00047,      +21.93962,  3926262.15,   927865.88,  5051187.74,      51.570091,       +1.436328,   99492.70,  248795.95,    7039.30,             7710.91,   -95.73,  60981.80,           57812.94,     40.55,    -37.81,          45.96,  +1.28,  -0.70
  4,     UK002C,       0,  0.172682, 2459442.630900538526,  91.17183,  21.56558,               82.72080,  22.13456,        82.71979,       22.13425,     91.17183,     +21.56558,      91.17348,      +21.56597,  3925586.71,   926725.93,  5048993.14,      51.564392,       +1.422608,   97202.02,  246925.13,    9602.88,            10274.49,    94.50,  63530.59,           59155.88,      3.12,     -2.91,           3.57,  +1.21,  -0.75
  5,     UK002C,       0,  0.213014, 2459442.630901005119,  91.33196,  21.20794,               82.85738,  21.76838,        82.85253,       21.76687,     91.33196,     +21.20794,      91.33748,      +21.20981,  3924952.43,   925655.45,  5046932.27,      51.559034,       +1.409707,   95051.09,  245179.15,   12010.26,            12681.87,   129.70,  59689.02,           59615.50,     14.86,    -13.86,          17.09,  +4.04,  +2.09
  0,     UK002F,       0,  0.066999, 2459442.630899314769,  76.70888,  15.63249,               99.02822,  26.89179,        98.98364,       26.87178,     76.70888,     +15.63249,      76.75423,      +15.64218,  3927254.70,   929541.02,  5054412.67,      51.578457,       +1.456505,  102859.15,  220774.34,       0.00,             3943.76,   -20.34,      0.00,           59660.99,    159.32,    -63.53,         160.25,  +1.80,  +0.08
  1,     UK002F,       0,  0.107259, 2459442.630899780896,  76.83905,  15.24782,               99.19168,  26.51444,        99.18691,       26.51231,     76.83905,     +15.24782,      76.84428,      +15.24886,  3926680.14,   928571.31,  5052545.83,      51.573616,       +1.444817,  100910.33,  219230.46,    2180.72,             6124.48,  -207.56,  54165.97,           59660.99,     16.95,     -6.78,          17.17,  +1.22,  -0.48
  2,     UK002F,       0,  0.147531, 2459442.630900247023,  76.92879,  14.75804,               99.46115,  26.07966,        99.43570,       26.06826,     76.92879,     +14.75804,      76.95515,      +14.76358,  3925982.44,   927393.81,  5050278.91,      51.567732,       +1.430654,   98544.06,  217372.71,    4828.78,             8772.54,    71.85,  65754.30,           59660.99,     90.00,    -35.93,          91.96,  +0.36,  -1.33
  3,     UK002F,       0,  0.187791, 2459442.630900712684,  77.03978,  14.33361,               99.66497,  25.68210,        99.65341,       25.67693,     77.03978,     +14.33361,      77.05224,      +14.33613,  3925377.51,   926372.85,  5048313.40,      51.562625,       +1.418346,   96492.55,  215774.05,    7124.76,            11068.52,    -0.12,  57028.76,           59660.99,     40.67,    -16.25,          41.87,  +1.33,  -0.34
  0,     UK002N,       0,  0.028611, 2459442.630898890551,  88.66904,  33.38177,               75.97079,  32.81613,        76.01080,       32.82716,     88.66904,     +33.38177,      88.63187,      +33.36490,  3927841.23,   930530.91,  5056318.39,      51.583395,       +1.468414,  104848.68,  189693.18,       0.00,             1717.63,    11.34,      0.00,           58981.27,    -78.18,     87.25,         127.39,  +1.83,  +0.44
  1,     UK002N,       0,  0.068927, 2459442.630899357144,  88.88653,  33.04271,               76.11440,  32.45083,        76.15320,       32.46152,     88.88653,     +33.04271,      88.85062,      +33.02636,  3927212.46,   929469.73,  5054275.42,      51.578101,       +1.455643,  102715.87,  187665.68,    2386.45,             4104.08,    26.56,  59193.65,           58981.27,    -75.30,     84.02,         124.01,  +1.02,  -0.35
  2,     UK002N,       0,  0.109231, 2459442.630899823736,  89.10317,  32.71696,               76.24463,  32.09433,        76.29016,       32.10687,     89.10317,     +32.71696,      89.06112,      +32.69776,  3926615.35,   928461.97,  5052335.32,      51.573070,       +1.443502,  100690.59,  185747.77,    4652.75,             6370.38,   -77.68,  56230.05,           58981.27,    -87.74,     97.95,         146.02,  +0.43,  -0.91
  3,     UK002N,       0,  0.149583, 2459442.630900290329,  89.32114,  32.33430,               76.41968,  31.69669,        76.44457,       31.70355,     89.32114,     +32.33430,      89.29849,      +32.32382,  3925951.59,   927341.74,  5050178.67,      51.567471,       +1.430019,   98439.42,  183626.32,    7172.01,             8889.64,    68.23,  62432.07,           58981.27,    -47.63,     53.11,          80.13,  +0.09,  -1.23
  4,     UK002N,       0,  0.189875, 2459442.630900756922,  89.54033,  32.02294,               76.53093,  31.34687,        76.57531,       31.35909,     89.54033,     +32.02294,      89.49963,      +32.00424,  3925396.27,   926404.52,  5048374.36,      51.562783,       +1.418707,   96556.17,  181857.76,    9279.68,            10997.31,  -193.93,  52309.88,           57901.61,    -84.32,     94.13,         143.34,  +0.55,  -0.75

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.