Orbital Analysis for matched events on 20210813_011710.497_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 65.32° Bg 38.80° Vg 61.42km/s
mass 0.00680g, abs. mag 0.3
Path Details
------------
start 0.96° 53.77° 108.29km
end   0.86° 53.72° 96.97km

Orbit Details
-------------
Semimajor axis -5.52A.U., eccentricity 1.17, inclination 113.61°, Period 1000000000.00Y, LA Sun 140.24°, 

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: 2459439.553593719844
Time: 2021-08-13 01:17:10.497395 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK0026
 Convergence angle = 89.32811 deg
 R.A. =  51.58260  Dec = +58.87793 deg
Intersection 2 - Stations: UK000Z and UK002K
 Convergence angle = 52.95455 deg
 R.A. =  50.96182  Dec = +59.30325 deg
Intersection 3 - Stations: UK0026 and UK002K
 Convergence angle = 37.72055 deg
 R.A. =  50.50876  Dec = +58.46656 deg

Best intersection: Stations UK000Z and UK0026 with Qconv = 89.33 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3653090.37 +/- 34.69 m
 Y =  -1189765.08 +/- 43.97 m
 Z =   5208981.23 +/- 64.99 m
 Vx =    20247.68 +/- 371.27 m/s
 Vy =    24815.83 +/- 410.53 m/s
 Vz =    53574.75 +/- 648.97 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK000Z: -0.000214 s
    UK0026: -0.000290 s
    UK002K: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 01:17:10.497395 UTC
  Lon     = ++0.963603 +/- 0.0008 deg
  Lat     = +53.769463 +/- 0.0003 deg
  Lat geo = +53.588872 +/- 0.0003 deg
  Ht      =  108257.74 +/- 62.65 m

  JD dynamic   = 2459439.554394460749 
  LST apparent = 341.9602291473 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  50.78838 +/- 0.2476 deg
  Dec       = +59.12820 +/- 0.2012 deg
  Azimuth   =  53.21106 +/- 0.3299 deg
  Elevation = +53.31091 +/- 0.1329 deg
  Vavg      =  62.34585 +/- 0.2755 km/s
  Vinit     =  62.41833 +/- 0.6255 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  50.96792 +/- 0.2476 deg
  Dec       = +58.92269 +/- 0.2012 deg
  Azimuth   =  53.46729 +/- 0.3299 deg
  Elevation = +53.14584 +/- 0.1329 deg
  Vavg      =  62.48038 +/- 0.2755 km/s
  Vinit     =  62.55286 +/- 0.6255 km/s
Radiant (geocentric, J2000):
  R.A.   =  50.90506 +/- 0.2418 deg
  Dec    = +58.93452 +/- 0.2026 deg
  Vg     =  61.42381 +/- 0.6357 km/s
  Vinf   =  62.41833 +/- 0.6255 km/s
  Zc     =  36.79748 +/- 0.1327 deg
  Zg     =  37.10358 +/- 0.1305 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  65.32044 +/- 0.1816 deg
  Bg     = +38.80061 +/- 0.1911 deg
  Vh     =  43.72448 +/- 0.5795 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  86.06622 +/- 0.5342 deg
  Bh     = +61.67492 +/- 0.4072 deg
  Vh_x   =  -1.42326 +/- 0.2101 km/s
  Vh_y   = -20.69723 +/- 0.5061 km/s
  Vh_z   = -38.48934 +/- 0.4103 km/s
Orbit:
  La Sun = 140.239961 +/- 0.0000 deg
  a      =  -5.519511 +/- 3.3885 AU
  e      =   1.170443 +/- 0.0535
  i      = 113.606506 +/- 0.4715 deg
  peri   = 150.152474 +/- 0.6027 deg
  node   = 140.239609 +/- 0.0000 deg
  Pi     = 290.392084 +/- 0.6027 deg
  q      =   0.940761 +/- 0.0016 AU
  f      =  29.843746 +/- 0.6027 deg
  M      =        nan +/- nan deg
  Q      = -11.979784 +/- 6.7762 AU
  n      =   0.076007 +/- 0.0335 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -1.444553 +/- 0.3092
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.513740
 a2 = 29.796236

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 2.539e-06 s
  Stddev    = 1.59e-03 s

Begin point on the trajectory:
  Lon =     0.963865 +/- 0.0008 deg
  Lat =    53.769579 +/- 0.0001 deg
  Ht  = 108287.14 +/- 50.88 m
End point on the trajectory:
  Lon =     0.862069 +/- 0.0011 deg
  Lat =    53.724840 +/- 0.0002 deg
  Ht  = 96973.56 +/- 86.62 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,   False,    -1.740490,    53.069201,  230.00,  24.875061,   0.000000,   106593.40,   100472.93,          0.004686,      7.43,     16.08,              25.52, 0.1856,    True,    True, {"ff_name": "FF_UK000Z_20210813_011707_926_0446464.fits"}
    UK0026,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   108098.59,    99694.45,          0.009234,     21.67,      8.72,              13.09, 0.0513,    True,    True, {"ff_name": "FF_UK0026_20210813_011702_864_0457728.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   2.635765,  22.995990,   108287.14,    96973.56,          0.008612,      9.85,     18.07,              13.50, 0.0545,    True,    True, {"ff_name": "FF_UK002K_20210813_011706_753_0451840.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,       0,  0.039418, 2459439.553594178986,  70.32273,  36.17247,               65.56908,  27.56593,        65.56900,       27.56591,     70.32273,     +36.17247,      70.32298,      +36.17250,  3652417.06, -1190590.30,  5207199.67,      53.762899,       +0.948625,  106593.40,  223309.15,       0.00,             2075.64,   -84.56,      0.00,           62805.32,      0.25,     -0.12,           0.26,  +3.05,  +1.31
  1,     UK000Z,       0,  0.079678, 2459439.553594645113,  70.46697,  35.89339,               65.68513,  27.28153,        65.68380,       27.28111,     70.46697,     +35.89339,      70.46873,      +35.89387,  3651556.71, -1191644.76,  5204923.21,      53.754504,       +0.929524,  104467.04,  220924.15,    2652.24,             4727.88,    54.71,  65877.73,           62805.32,      4.40,     -2.03,           4.52,  +2.06,  +0.34
  2,     UK000Z,       0,  0.119914, 2459439.553595110774,  70.60007,  35.63922,               65.78842,  27.02112,        65.78804,       27.02099,     70.60007,     +35.63922,      70.60099,      +35.63937,  3650786.65, -1192588.56,  5202885.64,      53.746983,       +0.912407,  102564.13,  218793.80,    5026.15,             7101.79,   -82.84,  58999.71,           62805.32,      1.27,     -0.59,           1.32,  +2.16,  +0.46
  3,     UK000Z,       0,  0.160178, 2459439.553595576435,  70.73718,  35.34995,               65.91430,  26.73210,        65.90451,       26.72897,     70.73718,     +35.34995,      70.74835,      +35.35351,  3649940.24, -1193625.92,  5200646.09,      53.738708,       +0.893605,  100472.93,  216459.17,    7635.39,             9711.03,    13.19,  64803.31,           62805.32,     31.82,    -14.71,          33.41,  +2.30,  +0.62
  0,     UK0026,       0,  0.015249, 2459439.553593900520,  76.82825,  64.49845,               36.51643,  43.96621,        36.51623,       43.96635,     76.82825,     +64.49845,      76.82822,      +64.49865,  3653025.99, -1189843.99,  5208810.88,      53.768836,       +0.962122,  108098.59,  154327.72,       0.00,              198.47,  -453.18,      0.00,           65844.36,     -0.20,     -0.51,           0.73,  +4.28,  +3.34
  1,     UK0026,       0,  0.055441, 2459439.553594365716,  77.42031,  64.54884,               36.26153,  43.78282,        36.25675,       43.78630,     77.42031,     +64.54884,      77.41834,      +64.55365,  3652062.61, -1191024.72,  5206261.80,      53.759442,       +0.940758,  105717.31,  151434.20,    2969.87,             3168.34,     7.97,  73892.01,           65844.36,     -4.80,    -12.02,          17.63,  +2.46,  +1.56
  2,     UK0026,       0,  0.095601, 2459439.553594830446,  77.93792,  64.60398,               36.02567,  43.63002,        36.02896,       43.62763,     77.93792,     +64.60398,      77.93979,      +64.60067,  3651244.16, -1192027.82,  5204096.22,      53.751452,       +0.922579,  103694.67,  148977.82,    5492.91,             5691.38,    24.29,  62824.87,           65844.36,      3.26,      8.14,          12.14,  +2.20,  +1.33
  3,     UK0026,       0,  0.135765, 2459439.553595295176,  78.46837,  64.65340,               35.79183,  43.47071,        35.79852,       43.46587,     78.46837,     +64.65340,      78.47180,      +64.64665,  3650438.80, -1193014.89,  5201965.24,      53.743583,       +0.904683,  101704.66,  146562.99,    7975.65,             8174.12,     0.06,  61814.99,           65844.36,      6.53,     16.27,          24.68,  +2.23,  +1.40
  4,     UK0026,       0,  0.175937, 2459439.553595760372,  79.02111,  64.71086,               35.54115,  43.30950,        35.55922,       43.29643,     79.02111,     +64.71086,      79.02926,      +64.69258,  3649625.12, -1194012.14,  5199812.27,      53.735626,       +0.886600,   99694.45,  144125.81,   10484.01,            10682.48,     0.95,  62440.53,           64660.00,     17.42,     43.28,          66.77,  +2.49,  +1.70
  5,     UK0026,       1,  0.216033, 2459439.553596224636,  79.41257,  64.81825,               35.28870,  43.23466,        35.37869,       43.16909,     79.41257,     +64.81825,      79.45039,      +64.72685,  3649030.45, -1194740.98,  5198238.80,      53.729805,       +0.873336,   98225.49,  142345.02,   12317.22,            12515.69,  -668.56,  45720.47,           61621.20,     87.21,    213.29,         333.90,  +6.67,  +5.90
  0,     UK002K,       0,  0.000000, 2459439.553593719844,  45.57705,  45.84320,               73.30778,  48.78139,        73.29908,       48.76839,     45.57705,     +45.84320,      45.59704,      +45.84039,  3653102.26, -1189750.51,  5209012.70,      53.769579,       +0.963865,  108287.14,  143031.58,       0.00,               36.66,   336.85,      0.00,           58831.51,     31.14,     16.98,          51.15,  +2.75,  +1.97
  1,     UK002K,       0,  0.040160, 2459439.553594184574,  45.52658,  45.61747,               73.61794,  48.67972,        73.61678,       48.67799,     45.52658,     +45.61747,      45.52940,      +45.61710,  3652323.42, -1190705.07,  5206951.89,      53.761986,       +0.946562,  106361.93,  140692.48,    2400.99,             2364.33,   157.80,  59785.53,           58831.51,      4.08,      2.22,           6.81,  +2.43,  +1.69
  2,     UK002K,       0,  0.080316, 2459439.553594649304,  45.46051,  45.39827,               73.92869,  48.59016,        73.92758,       48.58852,     45.46051,     +45.39827,      45.46335,      +45.39792,  3651582.91, -1191612.65,  5204992.53,      53.754760,       +0.930099,  104531.77,  138470.31,    4683.78,             4647.12,   -65.87,  56848.12,           58831.51,      3.80,      2.07,           6.45,  +1.97,  +1.26
  3,     UK002K,       0,  0.120492, 2459439.553595114499,  45.40310,  45.15466,               74.26311,  48.48086,        74.26861,       48.48883,     45.40310,     +45.15466,      45.39141,      +45.15636,  3650794.17, -1192579.34,  5202905.54,      53.747057,       +0.912571,  102582.71,  136106.24,    7115.27,             7078.61,  -142.10,  60520.89,           58831.51,    -18.30,     -9.95,          31.56,  +1.93,  +1.26
  4,     UK002K,       0,  0.160672, 2459439.553595579695,  45.30035,  44.88861,               74.65209,  48.38368,        74.64699,       48.37635,     45.30035,     +44.88861,      45.31220,      +44.88704,  3649946.79, -1193617.90,  5200663.41,      53.738773,       +0.893748,  100489.11,  133569.88,    9727.50,             9690.85,   -37.84,  65013.36,           60171.28,     16.53,      9.01,          29.07,  +2.05,  +1.42
  5,     UK002K,       0,  0.200836, 2459439.553596044425,  45.22554,  44.65012,               74.98901,  48.28604,        74.98182,       48.27579,     45.22554,     +44.65012,      45.24198,      +44.64793,  3649219.32, -1194509.49,  5198738.55,      53.731654,       +0.877561,   98692.03,  131393.93,   11970.10,            11933.45,  -302.21,  55836.07,           59934.68,     22.77,     12.43,          40.73,  +2.50,  +1.91
  6,     UK002K,       0,  0.241012, 2459439.553596509155,  45.18078,  44.41059,               75.30712,  48.16990,        75.31120,       48.17565,     45.18078,     +44.41059,      45.17305,      +44.41181,  3648523.57, -1195362.21,  5196897.62,      53.724840,       +0.862069,   96973.56,  129314.85,   14114.92,            14078.26,  -665.11,  53385.44,           59148.33,    -12.60,     -6.86,          22.89,  +4.43,  +3.87

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.