Orbital Analysis for matched events on 20210813_003826.003_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.47° Bg 38.51° Vg 59.48km/s
mass 0.00802g, abs. mag 0.1
Path Details
------------
start 0.58° 53.58° 108.96km
end   0.50° 53.54° 100.74km

Orbit Details
-------------
Semimajor axis 30.54A.U., eccentricity 0.97, inclination 113.47°, Period 168.81Y, LA Sun 140.21°, last Perihelion 2021-07-24

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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: 2459439.526689855382
Time: 2021-08-13 00:38:26.022696 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0026 and UK002K
 Convergence angle = 70.02733 deg
 R.A. =  47.00134  Dec = +57.61777 deg
Intersection 2 - Stations: UK0026 and UK0032
 Convergence angle = 5.51590 deg
 R.A. = 225.34455  Dec = -72.80304 deg
Intersection 3 - Stations: UK002K and UK0032
 Convergence angle = 75.35616 deg
 R.A. =  49.62717  Dec = +58.14620 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 75.36 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3404439.09 +/- 107.63 m
 Y =  -1819233.66 +/- 139.39 m
 Z =   5198233.84 +/- 359.72 m
 Vx =    21808.75 +/- 1455.17 m/s
 Vy =    23305.83 +/- 1337.38 m/s
 Vz =    51405.07 +/- 2050.88 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.970671e+03, +1.262899e+03, +1.470192e+04, +8.327458e+04, -3.519746e+03, +1.190475e+05
+1.262899e+03, +4.331841e+03, +8.349819e+03, -2.135635e+04, -7.775288e+03, -2.101211e+04
+1.470192e+04, +8.349819e+03, +3.689216e+04, +4.336957e+04, -3.264577e+04, +9.893830e+04
+8.327458e+04, -2.135635e+04, +4.336957e+04, +1.116669e+06, +1.233627e+05, +1.391210e+06
-3.519746e+03, -7.775288e+03, -3.264577e+04, +1.233627e+05, +7.843431e+04, +7.811844e+04
+1.190475e+05, -2.101211e+04, +9.893830e+04, +1.391210e+06, +7.811844e+04, +1.839599e+06

Timing offsets (from input data):
    UK000Z: 0.000000 s
    UK0026: 0.000000 s
    UK002K: -0.001066 s
    UK0032: 0.000214 s

Reference point on the trajectory:
  Time: 2021-08-13 00:38:26.022696 UTC
  Lon     = ++0.596445 +/- 0.0023 deg
  Lat     = +53.584596 +/- 0.0019 deg
  Lat geo = +53.403702 +/- 0.0019 deg
  Ht      =  110303.97 +/- 300.38 m

  JD dynamic   = 2459439.527490818407 
  LST apparent = 331.8812434979 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.90060 +/- 1.3393 deg
  Dec       = +58.16306 +/- 0.5611 deg
  Azimuth   =  52.24727 +/- 1.0042 deg
  Elevation = +49.87230 +/- 0.6203 deg
  Vavg      =  61.23954 +/- 1.5129 km/s
  Vinit     =  60.50838 +/- 2.0487 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.03011 +/- 1.3393 deg
  Dec       = +57.94478 +/- 0.5611 deg
  Azimuth   =  52.49903 +/- 1.0042 deg
  Elevation = +49.71127 +/- 0.6203 deg
  Vavg      =  61.38345 +/- 1.5129 km/s
  Vinit     =  60.65230 +/- 2.0487 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.08631 +/- 1.3614 deg
  Dec    = +57.91743 +/- 0.5728 deg
  Vg     =  59.48228 +/- 2.0848 km/s
  Vinf   =  60.50838 +/- 2.0487 km/s
  Zc     =  40.23867 +/- 0.6211 deg
  Zg     =  40.59765 +/- 0.6461 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.47242 +/- 0.9506 deg
  Bg     = +38.51010 +/- 0.5451 deg
  Vh     =  41.49759 +/- 2.0398 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  80.97116 +/- 2.9695 deg
  Bh     = +63.19104 +/- 0.5759 deg
  Vh_x   =  -2.93715 +/- 1.0172 km/s
  Vh_y   = -18.48422 +/- 1.1840 km/s
  Vh_z   = -37.03723 +/- 1.6786 km/s
Orbit:
  La Sun = 140.214128 +/- -0.0000 deg
  a      =  30.544262 +/- 20.8315 AU
  e      =   0.968620 +/- 0.1763
  i      = 113.472974 +/- 0.9888 deg
  peri   = 152.892489 +/- 5.1545 deg
  node   = 140.213518 +/- 0.0001 deg
  Pi     = 293.106007 +/- 5.1544 deg
  q      =   0.958480 +/- 0.0161 AU
  f      =  27.103637 +/- 5.1545 deg
  M      =   0.111478 +/- nan deg
  Q      =  60.130044 +/- 41.6677 AU
  n      =   0.005839 +/- 0.0793 deg/day
  T      = 168.808802 +/- 489897930.8898 years
  Last perihelion JD = 2459420.434190 (2021-07-24 22:25:14.055786) +/- 4.0676 days
  Tj     =  -0.309295 +/- 1.0247
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.342692e-02, +2.064748e-03, +5.028355e-01, -1.272197e-07, +1.105751e-02, +1.742525e-03
q   , +2.064748e-03, +3.271550e-04, +7.920553e-02, -1.847957e-08, +1.745400e-03, +2.531142e-04
Tp  , +5.028355e-01, +7.920553e-02, +1.920093e+01, -4.542935e-06, +4.229160e-01, +6.222457e-02
node, -1.272197e-07, -1.847957e-08, -4.542935e-06, +1.578760e-12, -9.956789e-08, -2.160370e-08
peri, +1.105751e-02, +1.745400e-03, +4.229160e-01, -9.956789e-08, +9.316728e-03, +1.363776e-03
i   , +1.742525e-03, +2.531142e-04, +6.222457e-02, -2.160370e-08, +1.363776e-03, +2.956309e-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: UK0026
  Avg. res. = 2.048e-06 s
  Stddev    = 1.43e-03 s

Begin point on the trajectory:
  Lon =     0.583110 +/- 0.0012 deg
  Lat =    53.578450 +/- 0.0001 deg
  Ht  = 108956.04 +/- 141.87 m
End point on the trajectory:
  Lon =     0.500983 +/- 0.0013 deg
  Lat =    53.540876 +/- 0.0014 deg
  Ht  = 100739.09 +/- 230.07 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
    UK000Z,    True,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,   107879.18,   103025.17,          0.044374,       nan,       nan,              20.12, 0.0000,    True,    True, {"ff_name": "FF_UK000Z_20210813_003820_349_0388352.fits"}
    UK0026,   False,    -0.023645,    52.984073,    6.00,  14.444875,   0.000000,   108327.76,   100739.09,          0.027359,     17.25,     56.72,              13.75, 0.0565,    True,    True, {"ff_name": "FF_UK0026_20210813_003816_602_0399616.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   108956.04,   101907.11,          0.020586,     44.98,      3.72,              22.05, 0.1409,    True,    True, {"ff_name": "FF_UK002K_20210813_003820_476_0393728.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   9.448191,   0.000000,   107698.01,   101852.08,          0.037966,     26.00,     83.18,              13.75, 0.0565,    True,    True, {"ff_name": "FF_UK0032_20210813_003816_699_0399616.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,     UK000Z,       1,  0.032783, 2459439.526690234896,  53.86860,  37.51725,               68.98496,  32.27227,        69.06393,       32.31860,     53.86860,     +37.51725,      53.76794,      +37.50279,  3403295.95, -1820455.27,  5195539.37,      53.573536,       +0.572396,  107879.18,  197340.39,       0.00,             3171.64,   955.96,      0.00,           53900.60,   -278.95,    -22.51,         292.52,  +4.90,  +3.42
  1,     UK000Z,       1,  0.072895, 2459439.526690699160,  53.82946,  37.33032,               69.16710,  32.16198,        69.18477,       32.17239,     53.82946,     +37.33032,      53.80720,      +37.32712,  3402679.99, -1821113.51,  5194087.51,      53.567571,       +0.559299,  106572.87,  195738.52,    1708.97,             4880.61,   237.82,  42605.04,           53900.60,    -62.05,     -5.14,          65.61,  +2.54,  +1.08
  2,     UK000Z,       1,  0.113111, 2459439.526691164356,  53.90221,  37.05869,               69.34469,  31.92857,        69.37198,       31.94462,     53.90221,     +37.05869,      53.86792,      +37.05376,  3401744.69, -1822113.02,  5191882.93,      53.558507,       +0.539494,  104589.67,  193314.48,    4303.96,             7475.60,   399.40,  64526.24,           53900.60,    -94.75,     -7.81,         101.44,  +2.05,  +0.62
  3,     UK000Z,       1,  0.153267, 2459439.526691629086,  53.90091,  36.83149,               69.53383,  31.76792,        69.52208,       31.76100,     53.90091,     +36.83149,      53.91650,      +36.83359,  3401006.72, -1822901.65,  5190143.46,      53.551348,       +0.523830,  103025.17,  191403.24,    6351.46,             9523.10,    17.13,  50988.72,           53900.60,     40.46,      3.39,          43.75,  +3.38,  +1.97
  0,     UK0026,       1,  0.000000, 2459439.526689855382,  45.64312,  71.36572,               31.51922,  53.93987,        31.51842,       53.93779,     45.64312,     +71.36572,      45.64978,      +71.36583,  3404472.20, -1819198.28,  5198311.89,      53.584917,       +0.597221,  110374.21,  135918.48,       0.00,               91.87,  -140.16,      0.00,           63370.27,      4.83,      1.49,           7.67,  +6.23,  +5.56
  1,     UK0026,       0,  0.039996, 2459439.526690318249,  45.60579,  71.63288,               31.07500,  53.99673,        31.07527,       53.99745,     45.60579,     +71.63288,      45.60362,      +71.63284,  3403507.45, -1820229.25,  5196037.90,      53.575584,       +0.576806,  108327.76,  133310.64,    2676.69,             2584.82,   -67.30,  66923.88,           63370.27,     -1.64,     -0.51,           2.66,  +2.92,  +2.30
  2,     UK0026,       0,  0.079996, 2459439.526690781116,  45.57564,  71.88923,               30.64705,  54.04769,        30.64907,       54.05321,     45.57564,     +71.88923,      45.55784,      +71.88894,  3402617.44, -1821180.35,  5193940.07,      53.566965,       +0.557956,  106440.23,  130907.23,    5146.02,             5054.16,   -18.30,  61733.35,           63370.27,    -12.32,     -3.80,          20.32,  +1.92,  +1.34
  3,     UK0026,       0,  0.119972, 2459439.526691243984,  45.45643,  72.15471,               30.20967,  54.12526,        30.20409,       54.10966,     45.45643,     +72.15471,      45.50884,      +72.15558,  3401724.14, -1822134.97,  5191834.50,      53.558308,       +0.539034,  104546.10,  128497.67,    7624.47,             7532.61,    41.27,  61998.47,           63370.27,     34.16,     10.49,          57.36,  +1.84,  +1.30
  4,     UK0026,       0,  0.159972, 2459439.526691706851,  45.42276,  72.41076,               29.77987,  54.17326,        29.77609,       54.16236,     45.42276,     +72.41076,      45.46020,      +72.41138,  3400898.62, -1823017.17,  5189888.66,      53.550299,       +0.521532,  102796.01,  126273.23,    9914.90,             9823.03,   -88.64,  57260.71,           61956.38,     23.45,      7.20,          40.07,  +2.27,  +1.76
  5,     UK0026,       0,  0.199924, 2459439.526692169253,  45.20491,  72.71949,               29.27245,  54.28090,        29.25318,       54.22428,     45.20491,     +72.71949,      45.39974,      +72.72298,  3399928.16, -1824054.24,  5187601.21,      53.540876,       +0.500983,  100739.09,  123662.18,   12607.43,            12515.56,   186.46,  67394.01,           62328.44,    119.22,     36.21,         207.82,  +3.54,  +3.08
  0,     UK002K,       0,  0.017494, 2459439.526690077502,  18.03940,  45.45102,               85.58133,  58.95318,        85.56567,       58.99354,     18.03940,     +45.45102,      17.99702,      +45.47943,  3403803.66, -1819912.71,  5196736.09,      53.578450,       +0.583110,  108956.04,  126696.59,       0.00,             1762.99,   472.43,      0.00,           56704.58,     -7.56,    -90.71,         148.19,  +3.92,  +3.41
  1,     UK002K,       0,  0.057518, 2459439.526690540835,  17.66889,  45.24265,               86.19431,  59.06086,        86.19397,       59.06177,     17.66889,     +45.24265,      17.66818,      +45.24330,  3403100.94, -1820663.67,  5195079.71,      53.571648,       +0.568192,  107465.58,  124880.66,    1949.71,             3712.70,     0.35,  48713.46,           56704.58,     -0.16,     -2.02,           3.35,  +1.80,  +1.32
  2,     UK002K,       0,  0.097582, 2459439.526691004634,  17.23154,  44.94543,               87.00681,  59.15921,        87.01199,       59.14451,     17.23154,     +44.94543,      17.24732,      +44.93519,  3402219.57, -1821605.54,  5193002.25,      53.563110,       +0.549522,  105596.54,  122610.57,    4395.07,             6158.06,    21.50,  61036.37,           56704.58,      2.56,     31.86,          53.76,  +1.32,  +0.88
  3,     UK002K,       0,  0.137658, 2459439.526691468433,  16.81814,  44.63298,               87.83112,  59.23344,        87.83477,       59.22232,     16.81814,     +44.63298,      16.83031,      +44.62530,  3401368.66, -1822514.86,  5190996.60,      53.554860,       +0.531489,  103792.45,  120425.48,    6755.90,             8518.89,   -42.60,  58908.82,           56704.58,      1.90,     23.61,          40.57,  +1.64,  +1.24
  4,     UK002K,       0,  0.177742, 2459439.526691932231,  16.37367,  44.29314,               88.72880,  59.30909,        88.73136,       59.30061,     16.37367,     +44.29314,      16.38323,      +44.28733,  3400479.26, -1823465.31,  5188900.20,      53.546229,       +0.512644,  101907.11,  118149.25,    9223.54,            10986.53,    -0.37,  61561.83,           58041.55,      1.41,     17.63,          30.88,  +2.16,  +1.80
  0,     UK0032,       0,  0.055635, 2459439.526690489613,  45.78490,  71.72022,               30.91266,  53.95570,        30.93467,       54.01607,     45.78490,     +71.72022,      45.58852,      +71.71741,  3403210.53, -1820546.55,  5195338.03,      53.572709,       +0.570511,  107698.01,  132508.41,       0.00,             3408.63,  -189.75,      0.00,           65060.78,   -136.25,    -42.69,         222.26,  +2.47,  +1.86
  1,     UK0032,       0,  0.095459, 2459439.526690950617,  45.67025,  71.95959,               30.52081,  54.02991,        30.53447,       54.06805,     45.67025,     +71.95959,      45.54497,      +71.95770,  3402385.52, -1821428.20,  5193393.41,      53.564718,       +0.553026,  105948.43,  130281.02,    2289.00,             5697.62,  -310.44,  57477.80,           65060.78,    -84.60,    -26.34,         140.29,  +1.68,  +1.11
  2,     UK0032,       0,  0.135231, 2459439.526691410691,  45.54852,  72.27878,               29.99317,  54.11611,        29.99971,       54.13489,     45.54852,     +72.27878,      45.48623,      +72.27779,  3401324.29, -1822562.28,  5190892.00,      53.554429,       +0.530578,  103698.39,  127420.33,    5233.38,             8642.00,   227.40,  74031.50,           65060.78,    -40.70,    -12.60,          68.97,  +1.51,  +0.98
  3,     UK0032,       0,  0.175043, 2459439.526691871695,  45.46035,  72.55271,               29.53708,  54.18240,        29.53983,       54.19052,     45.46035,     +72.55271,      45.43351,      +72.55227,  3400453.30, -1823493.06,  5188839.00,      53.545976,       +0.512120,  101852.08,  125074.96,    7649.95,            11058.57,   235.01,  60699.57,           65060.78,    -17.27,     -5.33,          29.80,  +3.57,  +3.08

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.