Orbital Analysis for matched events on 20210810_021258.230_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 60.45° Bg 35.57° Vg 64.82km/s
mass 0.02267g, abs. mag -1.1
Path Details
------------
start 2.15° 52.90° 106.59km
end   2.07° 52.88° 96.01km

Orbit Details
-------------
Semimajor axis -3.07A.U., eccentricity 1.31, inclination 120.22°, Period 1000000000.00Y, LA Sun 137.40°, 

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: 2459436.592340633739
Time: 2021-08-10 02:12:58.270867 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 17.25119 deg
 R.A. =  44.36507  Dec = +57.53873 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 17.25 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3899823.12 +/- 197.22 m
 Y =   -396883.26 +/- 262.43 m
 Z =   5150294.18 +/- 151.16 m
 Vx =    26262.28 +/- 1244.30 m/s
 Vy =    27389.06 +/- 1690.28 m/s
 Vz =    53708.80 +/- 2167.01 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):
    UK002F: 0.000000 s
    UK002K: -0.001149 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 02:12:58.270867 UTC
  Lon     = ++2.162034 +/- 0.0041 deg
  Lat     = +52.906915 +/- 0.0004 deg
  Lat geo = +52.724691 +/- 0.0004 deg
  Ht      =  107761.15 +/- 222.41 m

  JD dynamic   = 2459436.593141838908 
  LST apparent = 354.1890404175 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.20315 +/- 0.4867 deg
  Dec       = +54.75857 +/- 1.1413 deg
  Azimuth   =  65.28751 +/- 2.0193 deg
  Elevation = +59.95780 +/- 0.5961 deg
  Vavg      =  60.03618 +/- 1.6419 km/s
  Vinit     =  65.76096 +/- 1.7290 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.46722 +/- 0.4867 deg
  Dec       = +54.59828 +/- 1.1413 deg
  Azimuth   =  65.49385 +/- 2.0193 deg
  Elevation = +59.76218 +/- 0.5961 deg
  Vavg      =  60.16667 +/- 1.6419 km/s
  Vinit     =  65.89145 +/- 1.7290 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.17012 +/- 0.4674 deg
  Dec    = +54.60635 +/- 1.1461 deg
  Vg     =  64.81772 +/- 1.7543 km/s
  Vinf   =  65.76096 +/- 1.7290 km/s
  Zc     =  30.11879 +/- 0.5905 deg
  Zg     =  30.34151 +/- 0.5833 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  60.45333 +/- 0.2685 deg
  Bg     = +35.57312 +/- 1.1566 deg
  Vh     =  45.16211 +/- 1.0990 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  75.28298 +/- 1.7844 deg
  Bh     = +56.61099 +/- 2.2196 deg
  Vh_x   =  -6.31395 +/- 1.2514 km/s
  Vh_y   = -24.03825 +/- 1.8084 km/s
  Vh_z   = -37.70826 +/- 0.0667 km/s
Orbit:
  La Sun = 137.397730 +/- 0.0000 deg
  a      =  -3.065526 +/- 1.5191 AU
  e      =   1.311371 +/- 0.1072
  i      = 120.223772 +/- 2.5014 deg
  peri   = 153.768396 +/- 0.9636 deg
  node   = 137.397211 +/- 0.0002 deg
  Pi     = 291.165607 +/- 0.9634 deg
  q      =   0.954515 +/- 0.0024 AU
  f      =  26.227674 +/- 0.9637 deg
  M      =        nan +/- nan deg
  Q      =  -7.085567 +/- 3.0366 AU
  n      =   0.183631 +/- 0.0929 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -2.353172 +/- 0.6461
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 = 0.007373
 a2 = 48.534846

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 2.853e-06 s
  Stddev    = 1.69e-03 s

Begin point on the trajectory:
  Lon =     2.153029 +/- 0.0034 deg
  Lat =    52.904409 +/- 0.0004 deg
  Ht  = 106588.64 +/- 174.11 m
End point on the trajectory:
  Lon =     2.070844 +/- 0.0025 deg
  Lat =    52.881728 +/- 0.0003 deg
  Ht  = 96013.21 +/- 127.98 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,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   105646.77,    97348.69,          0.038015,       nan,       nan,              36.80, 0.0000,    True,    True, {"ff_name": "FF_UK002F_20210810_021258_645_0503808.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   106557.11,    96183.05,          0.007485,     11.86,     24.94,              43.28, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210810_021258_630_0524544.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   106588.64,    96013.21,          0.006866,      3.51,     21.21,              30.07, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210810_021255_887_0530688.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,       1,  0.049438, 2459436.592341206037,  88.77821,  32.79114,               62.84179,  20.69263,        62.87363,       20.69276,     88.77821,     +32.79114,      88.75149,      +32.77177,  3898847.64,  -397900.60,  5148299.22,      52.902394,       +2.145754,  105646.77,  283420.19,       0.00,             2442.62,   598.97,      0.00,           60682.71,   -104.16,    104.22,         107.24,  +4.12,  +1.86
  1,     UK002F,       1,  0.089638, 2459436.592341671232,  88.93433,  32.59451,               62.87255,  20.45790,        62.87384,       20.45791,     88.93433,     +32.59451,      88.93361,      +32.59372,  3898076.71,  -398704.59,  5146722.62,      52.898818,       +2.132746,  103975.92,  281869.53,    1930.40,             4373.01,  -114.22,  48019.80,           60682.71,     -4.22,      4.22,           4.37,  +3.43,  +1.18
  2,     UK002F,       1,  0.129946, 2459436.592342137825,  89.20633,  32.31954,               62.87770,  20.09977,        62.87467,       20.09975,     89.20633,     +32.31954,      89.20943,      +32.32137,  3896918.42,  -399912.58,  5144353.80,      52.893440,       +2.113278,  101465.78,  279553.54,    4830.77,             7273.39,   135.46,  71955.35,           60682.71,      9.80,     -9.79,          10.22,  +1.97,  -0.26
  3,     UK002F,       1,  0.170198, 2459436.592342603486,  89.41815,  32.08629,               62.89380,  19.80600,        62.87516,       19.80591,     89.41815,     +32.08629,      89.43469,      +32.09760,  3895981.71,  -400889.48,  5142438.15,      52.889084,       +2.097494,   99436.06,  277686.88,    7176.29,             9618.91,  -166.03,  58270.85,           60682.71,     60.18,    -60.06,          63.16,  +2.27,  +0.05
  4,     UK002F,       1,  0.210454, 2459436.592343069613,  89.59746,  31.81401,               62.95800,  19.50001,        62.87568,       19.49952,     89.59746,     +31.81401,      89.66836,      +31.86384,  3895018.31,  -401894.22,  5140467.90,      52.884600,       +2.081259,   97348.69,  275775.01,    9588.66,            12031.28,  -400.93,  59925.75,           60666.03,    264.78,   -263.40,         279.34,  +3.53,  +1.33
  0,     UK002K,       0,  0.033356, 2459436.592341037001,  47.67702,  11.55612,              111.56788,  29.10572,       111.58007,       29.11266,     47.67702,     +11.55612,      47.66420,      +11.55584,  3899267.64,  -397462.57,  5149158.17,      52.904341,       +2.152809,  106557.11,  213438.39,       0.00,             1390.92,   604.91,      0.00,           60563.08,    -42.75,    -20.32,          45.74,  +2.68,  +1.03
  1,     UK002K,       0,  0.073616, 2459436.592341503128,  47.66013,  11.19404,              111.81661,  28.81587,       111.80725,       28.81054,     47.66013,     +11.19404,      47.67041,      +11.19425,  3898486.09,  -398277.66,  5147559.82,      52.900718,       +2.139626,  104863.15,  212007.36,    1957.02,             3347.94,   -85.61,  48609.44,           60563.08,     32.68,     15.56,          35.21,  +1.87,  +0.24
  2,     UK002K,       0,  0.114020, 2459436.592341970652,  47.67578,  10.66182,              112.14234,  28.36676,       112.13856,       28.36461,     47.67578,     +10.66182,      47.68030,      +10.66190,  3897354.70,  -399457.58,  5145246.04,      52.895466,       +2.120609,  102411.21,  209955.04,    4790.01,             6180.93,    90.38,  70116.68,           60563.08,     13.13,      6.25,          14.28,  +1.45,  -0.16
  3,     UK002K,       0,  0.154368, 2459436.592342437711,  47.68715,  10.20090,              112.42419,  27.97838,       112.42346,       27.97797,     47.68715,     +10.20090,      47.68857,      +10.20092,  3896392.32,  -400461.25,  5143277.88,      52.890994,       +2.104400,  100325.77,  208222.46,    7199.82,             8590.74,  -153.14,  59725.52,           60563.08,      2.52,      1.20,           2.76,  +1.34,  -0.25
  4,     UK002K,       0,  0.194780, 2459436.592342905235,  47.70378,   9.65357,              112.75332,  27.51471,       112.75888,       27.51786,     47.70378,      +9.65357,      47.69866,       +9.65345,  3895269.89,  -401631.84,  5140982.40,      52.885772,       +2.085514,   97893.77,  206220.58,   10010.40,            11401.32,    -0.09,  69548.19,           62597.82,    -19.02,     -9.05,          21.06,  +1.29,  -0.28
  5,     UK002K,       0,  0.235072, 2459436.592343371827,  47.70975,   9.26217,              112.99242,  27.18587,       112.99748,       27.18874,     47.70975,      +9.26217,      47.70533,       +9.26205,  3894480.28,  -402455.33,  5139367.57,      52.882093,       +2.072173,   96183.05,  204821.05,   11987.59,            13378.52,  -672.54,  49071.63,           61249.49,    -17.24,     -8.20,          19.22,  +2.62,  +1.06
  0,     UK0032,       1,  0.000000, 2459436.592340633739,  57.29776,  26.14478,               92.40804,  35.29004,        92.47142,       35.31886,     57.29776,     +26.14478,      57.23349,      +26.13151,  3899825.14,  -396881.15,  5150298.32,      52.906924,       +2.162235,  107765.54,  183409.95,       0.00,                5.07,  1412.54,      0.00,           54854.64,   -187.05,    -30.60,         213.15,  +6.81,  +5.49
  1,     UK0032,       0,  0.040132, 2459436.592341098003,  57.28608,  25.92650,               92.59642,  35.13490,        92.59833,       35.13577,     57.28608,     +25.92650,      57.28431,      +25.92610,  3899282.19,  -397447.40,  5149187.92,      52.904409,       +2.153029,  106588.64,  182221.64,    1359.57,             1354.50,   122.85,  33877.48,           54854.64,     -5.60,     -0.92,           6.43,  +2.81,  +1.51
  2,     UK0032,       0,  0.080416, 2459436.592341564596,  57.36229,  25.54266,               92.84674,  34.80329,        92.83066,       34.79597,     57.36229,     +25.54266,      57.37895,      +25.54600,  3898298.81,  -398472.97,  5147176.82,      52.899849,       +2.136484,  104457.26,  180083.24,    3821.95,             3816.88,   -63.88,  61125.61,           54854.64,     46.82,      7.75,          54.35,  +1.69,  +0.41
  3,     UK0032,       0,  0.120748, 2459436.592342031188,  57.47833,  25.11455,               93.09758,  34.41387,        93.09108,       34.41091,     57.47833,     +25.11455,      57.48542,      +25.11590,  3897214.05,  -399604.27,  5144958.40,      52.894813,       +2.118243,  102106.42,  177735.24,    6538.19,             6533.12,     0.09,  67347.01,           54854.64,     18.72,      3.09,          22.02,  +1.32,  +0.07
  4,     UK0032,       0,  0.161088, 2459436.592342498247,  57.59114,  24.67395,               93.35797,  34.01608,        93.35589,       34.01513,     57.59114,     +24.67395,      57.59393,      +24.67439,  3896129.64,  -400735.20,  5142740.68,      52.889772,       +2.099999,   99756.59,  175398.76,    9253.56,             9248.49,    62.67,  67312.11,           58810.94,      5.95,      0.98,           7.09,  +1.15,  -0.07
  5,     UK0032,       0,  0.201392, 2459436.592342964839,  57.68874,  24.27588,               93.59408,  33.65846,        93.59272,       33.65785,     57.68874,     +24.27588,      57.69096,      +24.27616,  3895175.44,  -401730.35,  5140789.24,      52.885332,       +2.083918,   97689.13,  173350.97,   11642.90,            11637.83,  -198.43,  59282.76,           60006.64,      3.85,      0.64,           4.64,  +1.48,  +0.29
  6,     UK0032,       0,  0.241640, 2459436.592343430500,  57.76638,  23.94594,               93.79056,  33.36343,        93.78745,       33.36202,     57.76638,     +23.94594,      57.77054,      +23.94659,  3894401.89,  -402537.09,  5139207.25,      52.881728,       +2.070844,   96013.21,  171695.66,   13579.88,            13574.81,  -908.19,  48126.23,           59161.73,      8.73,      1.44,          10.63,  +4.35,  +3.18

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.