Orbital Analysis for matched events on 20210810_014335.279_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 60.57° Bg 38.62° Vg 59.79km/s
mass 0.03706g, abs. mag -1.1
Path Details
------------
start 1.86° 51.36° 108.46km
end   1.76° 51.31° 94.70km

Orbit Details
-------------
Semimajor axis -97.20A.U., eccentricity 1.01, inclination 113.33°, Period 1000000000.00Y, LA Sun 137.38°, 

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: 2459436.571936103050
Time: 2021-08-10 01:43:35.297006 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002F
 Convergence angle = 37.00111 deg
 R.A. =  43.56012  Dec = +58.01882 deg
Intersection 2 - Stations: UK002B and UK002K
 Convergence angle = 70.99201 deg
 R.A. =  44.13370  Dec = +57.68516 deg
Intersection 3 - Stations: UK002F and UK002K
 Convergence angle = 33.99271 deg
 R.A. =  43.70035  Dec = +57.25780 deg

Best intersection: Stations UK002B and UK002K with Qconv = 70.99 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3947230.10 +/- 58.99 m
 Y =   -945559.86 +/- 70.66 m
 Z =   5043909.74 +/- 48.64 m
 Vx =    23288.85 +/- 305.10 m/s
 Vy =    22726.42 +/- 349.09 m/s
 Vz =    51373.29 +/- 324.37 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):
    UK002B: -0.000085 s
    UK002F: 0.000000 s
    UK002K: 0.000250 s

Reference point on the trajectory:
  Time: 2021-08-10 01:43:35.297006 UTC
  Lon     = ++1.867465 +/- 0.0011 deg
  Lat     = +51.360552 +/- 0.0003 deg
  Lat geo = +51.175879 +/- 0.0003 deg
  Ht      =  109059.51 +/- 59.51 m

  JD dynamic   = 2459436.572737048846 
  LST apparent = 346.5286359123 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  44.29972 +/- 0.4346 deg
  Dec       = +57.64959 +/- 0.3007 deg
  Azimuth   =  56.06204 +/- 0.5364 deg
  Elevation = +56.93454 +/- 0.2464 deg
  Vavg      =  59.70032 +/- 0.2434 km/s
  Vinit     =  60.81180 +/- 0.1842 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  44.57553 +/- 0.4346 deg
  Dec       = +57.45044 +/- 0.3007 deg
  Azimuth   =  56.34530 +/- 0.5364 deg
  Elevation = +56.74075 +/- 0.2464 deg
  Vavg      =  59.83486 +/- 0.2434 km/s
  Vinit     =  60.94635 +/- 0.1842 km/s
Radiant (geocentric, J2000):
  R.A.   =  44.41241 +/- 0.4351 deg
  Dec    = +57.49190 +/- 0.3029 deg
  Vg     =  59.79084 +/- 0.1873 km/s
  Vinf   =  60.81180 +/- 0.1842 km/s
  Zc     =  33.16888 +/- 0.2460 deg
  Zg     =  33.45779 +/- 0.2472 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  60.57123 +/- 0.2899 deg
  Bg     = +38.61937 +/- 0.3082 deg
  Vh     =  41.94453 +/- 0.0406 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  80.19401 +/- 0.8028 deg
  Bh     = +62.83898 +/- 0.4791 deg
  Vh_x   =  -3.26104 +/- 0.2805 km/s
  Vh_y   = -18.86763 +/- 0.3095 km/s
  Vh_z   = -37.31918 +/- 0.1355 km/s
Orbit:
  La Sun = 137.378153 +/- nan deg
  a      = -97.203786 +/- 174.1073 AU
  e      =   1.009794 +/- 0.0037
  i      = 113.325330 +/- 0.5180 deg
  peri   = 151.498943 +/- 0.6173 deg
  node   = 137.377989 +/- 0.0000 deg
  Pi     = 288.876932 +/- 0.6173 deg
  q      =   0.952023 +/- 0.0026 AU
  f      =  28.497309 +/- 0.6173 deg
  M      =        nan +/- nan deg
  Q      = -195.359596 +/- 348.2151 AU
  n      =   0.001028 +/- 0.0005 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -0.533706 +/- 0.0268
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 = -0.000000
 a2 = 72.477028

Mean time residuals from time vs. length:
  Station with reference time: UK002F
  Avg. res. = 4.688e-06 s
  Stddev    = 2.17e-03 s

Begin point on the trajectory:
  Lon =     1.862916 +/- 0.0013 deg
  Lat =    51.358636 +/- 0.0003 deg
  Ht  = 108462.87 +/- 49.39 m
End point on the trajectory:
  Lon =     1.756625 +/- 0.0008 deg
  Lat =    51.314255 +/- 0.0003 deg
  Ht  = 94699.96 +/- 28.16 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
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   108462.87,    94699.96,          0.012080,     19.54,     50.30,              34.47, 0.3203,    True,    True, {"ff_name": "FF_UK002B_20210810_014326_445_0493056.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   107517.68,    95438.54,          0.011932,     14.34,     48.96,              46.56, 0.5272,    True,    True, {"ff_name": "FF_UK002F_20210810_014325_581_0461056.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,  26.537352,   0.000000,   107404.22,    95081.00,          0.008817,     35.98,     30.31,              72.93, 0.9138,    True,    True, {"ff_name": "FF_UK002K_20210810_014336_007_0480512.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,     UK002B,       0,  0.017598, 2459436.571936307941,  69.70108,  28.14896,               73.82518,  23.61469,        73.79915,       23.60622,     69.70108,     +28.14896,      69.72739,      +28.15923,  3946957.45,  -945825.93,  5043308.29,      51.358636,       +1.862916,  108462.87,  259892.71,       0.00,              711.96,   124.22,      0.00,           60805.01,    107.02,    -41.55,          91.12,  +4.84,  +2.77
  1,     UK002B,       0,  0.057826, 2459436.571936773136,  69.85258,  27.88486,               73.91726,  23.33096,        73.90648,       23.32746,     69.85258,     +27.88486,      69.86368,      +27.88912,  3946052.33,  -946709.19,  5041311.67,      51.352269,       +1.847642,  106482.37,  257936.50,    2363.44,             3075.40,    41.33,  58751.18,           60805.01,     44.06,    -17.13,          37.80,  +2.44,  +0.38
  2,     UK002B,       0,  0.098050, 2459436.571937238798,  69.99988,  27.62437,               74.00856,  23.05202,        74.01166,       23.05303,     69.99988,     +27.62437,      69.99716,      +27.62315,  3945174.60,  -947565.72,  5039375.47,      51.346089,       +1.832821,  104562.03,  256045.82,    4655.37,             5367.33,  -112.84,  56979.13,           60805.01,    -12.62,      4.91,          10.91,  +2.01,  -0.03
  3,     UK002B,       0,  0.138310, 2459436.571937704924,  70.14972,  27.29698,               74.14671,  22.72238,        74.13882,       22.71982,     70.14972,     +27.29698,      70.15825,      +27.30009,  3944126.90,  -948588.12,  5037064.33,      51.338706,       +1.815156,  102270.13,  253799.81,    7391.13,             8103.08,   174.64,  67952.18,           60805.01,     31.89,    -12.40,          27.81,  +1.87,  -0.15
  4,     UK002B,       0,  0.178530, 2459436.571938170586,  70.29773,  27.04178,               74.23144,  22.44607,        74.24149,       22.44933,     70.29773,     +27.04178,      70.28836,      +27.03782,  3943289.40,  -949405.39,  5035216.87,      51.332798,       +1.800996,  100438.28,  252009.36,    9578.00,            10289.96,   -84.34,  54372.89,           60106.67,    -40.36,     15.72,          35.45,  +1.64,  -0.37
  5,     UK002B,       0,  0.218782, 2459436.571938636247,  70.44581,  26.72809,               74.35823,  22.12657,        74.36293,       22.12810,     70.44581,     +26.72809,      70.44199,      +26.72624,  3942310.74,  -950360.41,  5033058.05,      51.325888,       +1.784473,   98297.96,  249927.04,   12133.46,            12845.41,    23.32,  63486.36,           60390.15,    -18.74,      7.30,          16.60,  +1.59,  -0.40
  6,     UK002B,       0,  0.259026, 2459436.571939101908,  70.58671,  26.42621,               74.48019,  21.81962,        74.47911,       21.81927,     70.58671,     +26.42621,      70.58888,      +26.42663,  3941385.08,  -951263.72,  5031016.11,      51.319346,       +1.768830,   96273.78,  247965.14,   14550.54,            15262.50,    -6.90,  60060.79,           60456.08,      4.28,     -1.67,           3.82,  +1.34,  -0.63
  7,     UK002B,       0,  0.299214, 2459436.571939567104,  70.68745,  26.18451,               74.58556,  21.58090,        74.57022,       21.57592,     70.68745,     +26.18451,      70.70414,      +26.19054,  3940665.30,  -951966.12,  5029428.33,      51.314255,       +1.756625,   94699.96,  246442.90,   16430.04,            17141.99,  -571.31,  46767.57,           59344.37,     60.58,    -23.55,          54.40,  +2.53,  +0.57
  0,     UK002F,       1,  0.000000, 2459436.571936103050,  47.86030,  11.14083,              103.52269,  24.37450,       103.56709,       24.40290,     47.86030,     +11.14083,      47.81000,      +11.13857,  3947237.12,  -945553.00,  5043925.23,      51.360602,       +1.867656,  109074.88,  253851.52,       0.00,               18.34,   500.80,      0.00,           58434.13,   -210.14,    -61.33,         177.87,  +5.61,  +3.59
  1,     UK002F,       0,  0.040108, 2459436.571936567314,  47.83100,  10.83348,              103.75368,  24.14878,       103.76096,       24.15344,     47.83100,     +10.83348,      47.82291,      +10.83311,  3946525.49,  -946247.45,  5042355.44,      51.355598,       +1.855614,  107517.68,  252567.89,    1858.21,             1839.87,  -116.71,  46330.07,           58434.13,    -34.34,    -10.06,          29.22,  +1.71,  -0.30
  2,     UK002F,       0,  0.080300, 2459436.571937032510,  47.83276,  10.37258,              104.05964,  23.78236,       104.05103,       23.77686,     47.83276,     +10.37258,      47.84286,      +10.37301,  3945467.48,  -947279.91,  5040021.55,      51.348152,       +1.837786,  105202.80,  250677.87,    4620.88,             4602.54,   201.81,  68736.87,           58434.13,     40.37,     11.85,          34.62,  +1.39,  -0.61
  3,     UK002F,       0,  0.120476, 2459436.571937497240,  47.85104,   9.98765,              104.29951,  23.46582,       104.29266,       23.46145,     47.85104,      +9.98765,      47.85931,       +9.98799,  3944594.03,  -948132.27,  5038094.78,      51.341999,       +1.823033,  103291.96,  249128.12,    6901.65,             6883.31,    39.41,  56769.45,           58434.13,     31.93,      9.37,          27.55,  +1.49,  -0.49
  4,     UK002F,       0,  0.160672, 2459436.571937962901,  47.87979,   9.57700,              104.54620,  23.12218,       104.54935,       23.12418,     47.87979,      +9.57700,      47.87689,       +9.57684,  3943673.14,  -949030.91,  5036063.39,      51.335506,       +1.807483,  101277.62,  247507.11,    9306.26,             9287.92,    -0.37,  59822.11,           58888.83,    -14.61,     -4.28,          12.69,  +1.03,  -0.94
  5,     UK002F,       0,  0.200860, 2459436.571938427631,  47.90274,   9.16417,              104.79797,  22.77983,       104.80596,       22.78492,     47.90274,      +9.16417,      47.89451,       +9.16376,  3942759.87,  -949922.13,  5034048.77,      51.329060,       +1.792055,   99280.16,  245912.20,   11691.00,            11672.66,   -59.53,  59339.73,           59083.10,    -36.91,    -10.82,          32.26,  +0.89,  -1.06
  6,     UK002F,       0,  0.241048, 2459436.571938892826,  47.91708,   8.74804,              105.05791,  22.43957,       105.06310,       22.44287,     47.91708,      +8.74804,      47.91220,       +8.74778,  3941851.94,  -950808.13,  5032045.97,      51.322647,       +1.776711,   97294.65,  244339.41,   14061.77,            14043.43,  -132.67,  58991.95,           59142.69,    -23.83,     -6.98,          20.96,  +0.57,  -1.37
  7,     UK002F,       0,  0.281240, 2459436.571939358022,  47.95347,   8.35519,              105.28264,  22.10434,       105.30539,       22.11878,     47.95347,      +8.35519,      47.92884,       +8.35404,  3941003.10,  -951636.48,  5030173.48,      51.316645,       +1.762350,   95438.54,  242880.10,   16278.28,            16259.94,  -360.31,  55148.04,           58834.50,   -103.97,    -30.43,          92.00,  +1.34,  -0.59
  0,     UK002K,       0,  0.040422, 2459436.571936567780,  15.98441, -12.01399,              147.04503,  19.09396,       147.04417,       19.09340,     15.98441,     -12.01399,      15.98555,      -12.01425,  3946473.64,  -946298.05,  5042241.05,      51.355233,       +1.854748,  107404.22,  308234.47,       0.00,             1975.27,    -0.41,      0.00,           62299.83,      3.41,      4.04,           3.54,  +3.91,  +1.47
  1,     UK002K,       0,  0.080602, 2459436.571937032975,  15.87005, -12.36582,              147.27925,  18.79865,       147.26730,       18.79085,     15.87005,     -12.36582,      15.88395,      -12.36947,  3945683.88,  -947068.74,  5040498.90,      51.349676,       +1.841398,  105676.23,  307647.56,    2062.22,             4037.49,  -381.60,  51324.62,           62299.83,     47.52,     56.44,          49.47,  +3.20,  +0.76
  2,     UK002K,       0,  0.120882, 2459436.571937499102,  15.72761, -12.89244,              147.59988,  18.34668,       147.59453,       18.34320,     15.72761,     -12.89244,      15.73420,      -12.89408,  3944522.51,  -948202.06,  5037937.02,      51.341495,       +1.821838,  103135.52,  306810.41,    5094.79,             7070.05,   201.46,  75287.06,           62299.83,     21.24,     25.22,          22.17,  +1.64,  -0.79
  3,     UK002K,       0,  0.161086, 2459436.571937964763,  15.61812, -13.28398,              147.84028,  18.01126,       147.83766,       18.00955,     15.61812,     -13.28398,      15.62179,      -13.28478,  3943661.64,  -949042.14,  5036038.00,      51.335425,       +1.807290,  101252.45,  306206.38,    7342.70,             9317.96,     4.50,  55912.65,           62299.83,     10.41,     12.36,          10.88,  +0.96,  -1.47
  4,     UK002K,       0,  0.201294, 2459436.571938429959,  15.50714, -13.68412,              148.08381,  17.66772,       148.08497,       17.66848,     15.50714,     -13.68412,      15.50665,      -13.68376,  3942785.87,  -949896.76,  5034106.13,      51.329244,       +1.792488,   99337.02,  305607.81,    9629.50,            11604.77,  -153.82,  56874.31,           61010.03,     -4.62,     -5.49,           4.84,  +1.08,  -1.35
  5,     UK002K,       0,  0.241542, 2459436.571938895620,  15.37123, -14.15934,              148.37532,  17.26040,       148.37778,       17.26200,     15.37123,     -14.15934,      15.36941,      -14.15858,  3941747.74,  -950909.82,  5031816.10,      51.321910,       +1.774968,   97066.79,  304920.10,   12340.27,            14315.53,   109.39,  67351.59,           61547.91,     -9.76,    -11.58,          10.25,  +1.21,  -1.21
  6,     UK002K,       0,  0.281766, 2459436.571939361282,  15.26414, -14.58028,              148.61928,  16.89493,       148.63420,       16.90461,     15.26414,     -14.58028,      15.24815,      -14.57567,  3940839.56,  -951796.06,  5029812.74,      51.315488,       +1.759614,   95081.00,  304336.37,   14711.70,            16686.96,    34.73,  58955.60,           61462.23,    -59.03,    -70.05,          62.09,  +2.20,  -0.22

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.