Orbital Analysis for matched events on 20210816_004842.427_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 67.14° Bg 37.44° Vg 60.29km/s
mass 0.01651g, abs. mag -0.5
Path Details
------------
start 2.06° 53.02° 108.19km
end   1.98° 52.98° 99.19km

Orbit Details
-------------
Semimajor axis -102.41A.U., eccentricity 1.01, inclination 114.93°, Period 1000000000.00Y, LA Sun 143.10°, 

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: 2459442.533824397251
Time: 2021-08-16 00:48:42.427922 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK002K
 Convergence angle = 69.78702 deg
 R.A. =  54.05219  Dec = +57.95918 deg
Intersection 2 - Stations: UK002F and UK0032
 Convergence angle = 60.97983 deg
 R.A. =  55.08473  Dec = +57.32939 deg
Intersection 3 - Stations: UK002K and UK0032
 Convergence angle = 8.83997 deg
 R.A. =  58.85250  Dec = +62.08892 deg

Best intersection: Stations UK002F and UK002K with Qconv = 69.79 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3647521.93 +/- 275.38 m
 Y =  -1408888.06 +/- 231.11 m
 Z =   5158104.95 +/- 122.51 m
 Vx =    18868.74 +/- 2705.99 m/s
 Vy =    26108.07 +/- 2247.96 m/s
 Vz =    52160.57 +/- 3333.58 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.902060e+04, +4.189510e+04, +2.429103e+04, +3.319222e+05, +2.527503e+05, +9.940358e+04
+4.189510e+04, +3.877828e+04, +2.290999e+04, +2.611626e+05, +2.154243e+05, +5.797267e+04
+2.429103e+04, +2.290999e+04, +1.611344e+04, +1.193603e+05, +9.132079e+04, +6.919992e+03
+3.319222e+05, +2.611626e+05, +1.193603e+05, +3.239854e+06, +2.548981e+06, +1.403814e+06
+2.527503e+05, +2.154243e+05, +9.132079e+04, +2.548981e+06, +2.178025e+06, +1.101149e+06
+9.940358e+04, +5.797267e+04, +6.919992e+03, +1.403814e+06, +1.101149e+06, +9.520973e+05

Timing offsets (from input data):
    UK002F: -0.000393 s
    UK002K: 0.000000 s
    UK0032: 0.000488 s

Reference point on the trajectory:
  Time: 2021-08-16 00:48:42.427922 UTC
  Lon     = ++2.063391 +/- 0.0046 deg
  Lat     = +53.017628 +/- 0.0008 deg
  Lat geo = +52.835613 +/- 0.0008 deg
  Ht      =  108091.56 +/- 192.69 m

  JD dynamic   = 2459442.534625138156 
  LST apparent = 338.8804991102 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  54.14373 +/- 1.9313 deg
  Dec       = +58.30182 +/- 2.1293 deg
  Azimuth   =  51.44126 +/- 3.5461 deg
  Elevation = +49.46999 +/- 0.3254 deg
  Vavg      =  59.18367 +/- 2.6368 km/s
  Vinit     =  61.30567 +/- 2.5983 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  54.27164 +/- 1.9313 deg
  Dec       = +58.08300 +/- 2.1293 deg
  Azimuth   =  51.69544 +/- 3.5461 deg
  Elevation = +49.31170 +/- 0.3254 deg
  Vavg      =  59.32905 +/- 2.6368 km/s
  Vinit     =  61.45106 +/- 2.5983 km/s
Radiant (geocentric, J2000):
  R.A.   =  54.30987 +/- 2.0247 deg
  Dec    = +58.07426 +/- 2.1249 deg
  Vg     =  60.29282 +/- 2.6465 km/s
  Vinf   =  61.30567 +/- 2.5983 km/s
  Zc     =  40.64367 +/- 0.3229 deg
  Zg     =  40.99716 +/- 0.3209 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.13629 +/- 1.9806 deg
  Bg     = +37.43594 +/- 1.7771 deg
  Vh     =  41.96097 +/- 1.3498 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  86.60134 +/- 8.7996 deg
  Bh     = +60.86124 +/- 2.5387 deg
  Vh_x   =  -1.21126 +/- 2.5234 km/s
  Vh_y   = -20.39597 +/- 2.3996 km/s
  Vh_z   = -36.65051 +/- 0.5858 km/s
Orbit:
  La Sun = 143.102719 +/- 0.0000 deg
  a      = -102.411454 +/- 49.9266 AU
  e      =   1.009178 +/- 0.1106
  i      = 114.932701 +/- 4.6126 deg
  peri   = 148.969683 +/- 5.5533 deg
  node   = 143.102162 +/- 0.0003 deg
  Pi     = 292.071845 +/- 5.5530 deg
  q      =   0.939896 +/- 0.0215 AU
  f      =  31.026502 +/- 5.5534 deg
  M      =        nan +/- nan deg
  Q      = -205.762804 +/- 99.8535 AU
  n      =   0.000951 +/- 0.0566 deg/day
  T      = 1000000000.000000 +/- 399999926.4829 years
  Last perihelion JD = NaN 
  Tj     =  -0.558686 +/- 0.7361
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.889761e-03, +1.124608e-03, +2.272250e-01, -2.303837e-07, +5.267490e-03, +3.390307e-03
q   , +1.124608e-03, +2.931316e-04, +5.287521e-02, -6.068638e-08, +1.284972e-03, +9.019431e-04
Tp  , +2.272250e-01, +5.287521e-02, +9.933404e+00, -1.081269e-05, +2.373033e-01, +1.602584e-01
node, -2.303837e-07, -6.068638e-08, -1.081269e-05, +1.549342e-11, -2.639866e-07, -2.297011e-07
peri, +5.267490e-03, +1.284972e-03, +2.373033e-01, -2.639866e-07, +5.709869e-03, +3.917386e-03
i   , +3.390307e-03, +9.019431e-04, +1.602584e-01, -2.297011e-07, +3.917386e-03, +3.407546e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.072641
 a2 = 41.125303

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 6.267e-06 s
  Stddev    = 2.50e-03 s

Begin point on the trajectory:
  Lon =     2.064385 +/- 0.0044 deg
  Lat =    53.018106 +/- 0.0008 deg
  Ht  = 108193.06 +/- 170.37 m
End point on the trajectory:
  Lon =     1.975316 +/- 0.0039 deg
  Lat =    52.975597 +/- 0.0007 deg
  Ht  = 99188.96 +/- 164.08 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
    UK002F,   False,    -1.306160,    51.883100,   80.00,  51.449205,   4.194921,   104707.41,    99188.96,          0.024007,     59.39,    101.33,              27.92, 0.2193,    True,    True, {"ff_name": "FF_UK002F_20210816_004842_155_0420864.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   108193.06,    99297.69,          0.017315,     38.80,     47.75,              47.48, 0.5433,    True,    True, {"ff_name": "FF_UK002K_20210816_004843_489_0419840.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.001638,  62.966697,   105185.34,    99761.13,          0.013483,     19.31,     34.77,              30.37, 0.2557,    True,    True, {"ff_name": "FF_UK0032_20210816_004840_047_0425472.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,     UK002F,       0,  0.076090, 2459442.533825172577,  76.10080,  34.58268,               59.88579,  20.68093,        59.93074,       20.69264,     76.10080,     +34.58268,      76.05271,      +34.56432,  3646151.32, -1410784.52,  5154316.05,      53.001677,       +2.029947,  104707.41,  281018.46,       0.00,             4453.19,   127.17,      0.00,           60398.88,   -184.66,    108.32,         157.13,  +3.09,  +0.85
  1,     UK002F,       0,  0.116242, 2459442.533825637307,  76.15232,  34.38348,               59.98916,  20.50170,        59.98702,       20.50114,     76.15232,     +34.38348,      76.15478,      +34.38434,  3645510.37, -1411671.38,  5152544.22,      52.994209,       +2.014267,  103125.28,  279169.55,    2082.48,             6535.67,  -251.90,  51864.94,           60398.88,      8.74,     -5.11,           7.48,  +1.98,  -0.25
  2,     UK002F,       0,  0.156430, 2459442.533826102503,  76.25549,  34.15866,               60.07501,  20.27514,        60.05498,       20.26988,     76.25549,     +34.15866,      76.27726,      +34.16681,  3644748.04, -1412726.19,  5150436.84,      52.985319,       +1.995647,  101243.89,  276976.70,    4559.33,             9012.52,  -238.80,  61631.59,           60398.88,     81.48,    -47.55,          70.25,  +1.80,  -0.41
  3,     UK002F,       0,  0.196654, 2459442.533826568164,  76.41625,  33.92654,               60.12635,  20.01188,        60.13032,       20.01291,     76.41625,     +33.92654,      76.41251,      +33.92492,  3643915.22, -1413878.55,  5148134.59,      52.975597,       +1.975316,   99188.96,  274587.57,    7265.23,            11718.42,     1.14,  67270.83,           60398.88,    -16.04,      9.38,          13.96,  +2.85,  +0.66
  0,     UK002K,       0,  0.000000, 2459442.533824397251,  33.53917,  14.61991,              108.55049,  31.01821,       108.52527,       30.99206,     33.53917,     +14.61991,      33.57278,      +14.61123,  3647563.03, -1408831.19,  5158218.57,      53.018106,       +2.064385,  108193.06,  205411.88,       0.00,              133.54,   472.26,      0.00,           60168.04,     94.39,     76.69,         122.12,  +3.95,  +2.39
  1,     UK002K,       0,  0.040308, 2459442.533824863844,  33.44937,  14.16691,              108.93955,  30.70005,       108.93914,       30.69962,     33.44937,     +14.16691,      33.44981,      +14.16677,  3646865.99, -1409795.66,  5156291.68,      53.009998,       +2.047352,  106471.84,  203845.22,    2264.72,             2131.18,    -1.21,  56185.43,           60168.04,      1.53,      1.24,           2.00,  +2.11,  +0.56
  2,     UK002K,       0,  0.080620, 2459442.533825330436,  33.31532,  13.68316,              109.38764,  30.38067,       109.38670,       30.37970,     33.31532,     +13.68316,      33.31663,      +13.68284,  3646119.18, -1410829.00,  5154227.20,      53.001303,       +2.029112,  104628.06,  202182.15,    4691.16,             4557.62,   -46.12,  60191.57,           60168.04,      3.45,      2.80,           4.54,  +1.65,  +0.12
  3,     UK002K,       0,  0.120944, 2459442.533825797029,  33.14832,  13.16455,              109.88672,  30.05001,       109.86832,       30.03119,     33.14832,     +13.16455,      33.17304,      +13.15829,  3645323.42, -1411930.06,  5152027.41,      52.992029,       +2.009685,  102663.86,  200427.97,    7276.63,             7143.08,    67.25,  64117.18,           60168.04,     66.95,     54.38,          88.76,  +1.24,  -0.27
  4,     UK002K,       0,  0.161288, 2459442.533826264087,  33.02765,  12.64529,              110.34077,  29.69160,       110.33717,       29.68794,     33.02765,     +12.64529,      33.03282,      +12.64407,  3644556.65, -1412991.02,  5149907.76,      52.983085,       +1.990955,  100771.61,  198754.65,    9767.91,             9634.37,    85.22,  61751.14,           60880.66,     12.97,     10.52,          17.33,  +1.17,  -0.32
  5,     UK002K,       0,  0.201548, 2459442.533826730214,  32.91752,  12.23852,              110.70887,  29.41866,       110.70596,       29.41571,     32.91752,     +12.23852,      32.92194,      +12.23753,  3643959.30, -1413817.56,  5148256.44,      52.976112,       +1.976325,   99297.69,  197461.10,   11708.75,            11575.21,  -442.11,  48207.58,           59276.56,     10.41,      8.45,          14.01,  +2.45,  +0.97
  0,     UK0032,       0,  0.067471, 2459442.533825201914,  44.00308,  29.25952,               88.26105,  36.42134,        88.26207,       36.42249,     44.00308,     +29.25952,      44.00150,      +29.25979,  3646344.92, -1410516.65,  5154851.23,      53.003932,       +2.034622,  105185.34,  174586.53,       0.00,             3824.18,    26.51,      0.00,           59293.25,     -3.76,     -2.08,           5.08,  +2.52,  +1.31
  1,     UK0032,       0,  0.107687, 2459442.533825667575,  43.91175,  28.86126,               88.67315,  36.18747,        88.67219,       36.18640,     43.91175,     +28.86126,      43.91341,      +28.86101,  3645587.07, -1411565.26,  5152756.24,      52.995103,       +2.016113,  103314.59,  172446.70,    2462.30,             6286.48,    23.35,  61226.89,           59293.25,      3.48,      1.93,           4.76,  +1.69,  +0.51
  2,     UK0032,       0,  0.147895, 2459442.533826132771,  43.80851,  28.46220,               89.09338,  35.95925,        89.08262,       35.94732,     43.80851,     +28.46220,      43.82537,      +28.45948,  3644842.53, -1412595.45,  5150698.05,      52.986421,       +1.997923,  101477.06,  170352.95,    4881.34,             8705.52,   -22.59,  60163.22,           59293.25,     38.40,     21.32,          53.17,  +1.70,  +0.54
  3,     UK0032,       0,  0.188099, 2459442.533826597966,  43.71612,  28.07964,               89.48925,  35.73562,        89.47284,       35.71752,     43.71612,     +28.07964,      43.74167,      +28.07550,  3644147.13, -1413557.66,  5148775.68,      52.978305,       +1.980920,   99761.13,  168404.77,    7140.76,            10964.93,  -227.91,  56198.70,           59293.25,     57.75,     32.08,          80.92,  +2.78,  +1.65

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.