Orbital Analysis for matched events on 20210813_223129.377_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.40° Bg 37.16° Vg 66.54km/s
mass 0.00636g, abs. mag 0.3
Path Details
------------
start 0.12° 51.88° 110.33km
end   0.03° 51.82° 104.26km

Orbit Details
-------------
Semimajor axis -1.86A.U., eccentricity 1.52, inclination 119.35°, Period 1000000000.00Y, LA Sun 141.09°, 

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: 2459440.438534462359
Time: 2021-08-13 22:31:29.377548 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK002F
 Convergence angle = 20.00876 deg
 R.A. =  47.75189  Dec = +56.79574 deg

Best intersection: Stations UK002C and UK002F with Qconv = 20.01 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2040680.78 +/- 426.75 m
 Y =  -3455585.35 +/- 133.30 m
 Z =   5081814.61 +/- 427.11 m
 Vx =    24722.53 +/- 4240.29 m/s
 Vy =    27181.77 +/- 3347.84 m/s
 Vz =    56577.94 +/- 5646.81 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):
    UK000F: 0.000000 s
    UK002C: 0.000000 s
    UK002F: 0.000565 s

Reference point on the trajectory:
  Time: 2021-08-13 22:31:29.377548 UTC
  Lon     = ++0.116271 +/- 0.0062 deg
  Lat     = +51.885352 +/- 0.0016 deg
  Lat geo = +51.701500 +/- 0.0016 deg
  Ht      =  110372.81 +/- 402.72 m

  JD dynamic   = 2459440.439335203264 
  LST apparent = 300.5637886420 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  47.71266 +/- 3.1495 deg
  Dec       = +56.99935 +/- 0.8304 deg
  Azimuth   =  38.94242 +/- 2.1744 deg
  Elevation = +34.10549 +/- 0.7266 deg
  Vavg      =  63.87442 +/- 4.1414 km/s
  Vinit     =  67.46195 +/- 6.0911 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.57912 +/- 3.1495 deg
  Dec       = +56.80055 +/- 0.8304 deg
  Azimuth   =  39.17512 +/- 2.1744 deg
  Elevation = +34.01788 +/- 0.7266 deg
  Vavg      =  64.02718 +/- 4.1414 km/s
  Vinit     =  67.61472 +/- 6.0911 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.84336 +/- 3.2236 deg
  Dec    = +56.62503 +/- 0.7850 deg
  Vg     =  66.54326 +/- 6.1645 km/s
  Vinf   =  67.46195 +/- 6.0911 km/s
  Zc     =  56.03758 +/- 0.7309 deg
  Zg     =  56.45562 +/- 0.7960 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.40247 +/- 2.4446 deg
  Bg     = +37.15559 +/- 0.2094 deg
  Vh     =  47.20064 +/- 5.5377 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  75.13702 +/- 6.6431 deg
  Bh     = +58.37480 +/- 1.9967 deg
  Vh_x   =  -6.34862 +/- 4.5220 km/s
  Vh_y   = -23.92206 +/- 3.1479 km/s
  Vh_z   = -40.19118 +/- 3.6717 km/s
Orbit:
  La Sun = 141.089781 +/- -0.0000 deg
  a      =  -1.861680 +/- 5.7230 AU
  e      =   1.523572 +/- 0.6595
  i      = 119.351467 +/- 2.9685 deg
  peri   = 159.601651 +/- 6.3473 deg
  node   = 141.087817 +/- 0.0003 deg
  Pi     = 300.689467 +/- 6.3470 deg
  q      =   0.974724 +/- 0.0177 AU
  f      =  20.394050 +/- 6.3474 deg
  M      =        nan +/- nan deg
  Q      =  -4.698084 +/- 11.4324 AU
  n      =   0.388013 +/- 1.0238 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -3.469439 +/- 3.5484
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 = -0.202769
 a2 = 48.232380

Mean time residuals from time vs. length:
  Station with reference time: UK002C
  Avg. res. = 9.922e-06 s
  Stddev    = 3.15e-03 s

Begin point on the trajectory:
  Lon =     0.115731 +/- 0.0064 deg
  Lat =    51.884938 +/- 0.0017 deg
  Ht  = 110332.06 +/- 419.11 m
End point on the trajectory:
  Lon =     0.034508 +/- 0.0035 deg
  Lat =    51.823179 +/- 0.0001 deg
  Ht  = 104260.08 +/- 198.60 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
    UK000F,    True,    -1.306160,    51.883100,   80.00,   0.147940,  53.792783,   110027.12,   104713.70,          0.670583,       nan,       nan,              39.28, 0.0000,    True,    True, {"ff_name": "FF_UK000F_20210813_223123_872_0202240.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   110332.06,   104578.70,          0.018664,     56.98,     11.62,              21.53, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210813_223122_446_0211712.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.414609,  43.820715,   109940.75,   104260.08,          0.020010,     49.31,      7.57,              39.28, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210813_223121_885_0174848.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,     UK000F,       1,  0.000858, 2459440.438534472603, 354.58093,  36.31648,               89.48545,  48.42568,        89.52427,       47.71337,    354.58093,     +36.31648,     355.23326,      +35.83683,  2040454.84, -3455833.77,  5081297.54,      51.881844,       +0.111687,  110027.12,  147591.95,       0.00,              616.54,   487.04,      0.00,           61524.55,   -311.78,   1809.40,        2566.04,  +4.28,  +3.43
  1,     UK000F,       1,  0.041190, 2459440.438534939196, 354.01786,  35.77926,               90.54663,  48.42627,        90.56989,       47.72729,    354.01786,     +35.77926,     354.65723,      +35.31205,  2039447.67, -3456941.13,  5078992.61,      51.866199,       +0.091101,  108486.65,  145506.55,    2748.33,             3364.87,   514.49,  68142.55,           61524.55,   -300.54,   1749.88,        2516.95,  +2.83,  +2.02
  2,     UK000F,       1,  0.081474, 2459440.438535405323, 353.60129,  35.33896,               91.38247,  48.39652,        91.39304,       47.73239,    353.60129,     +35.33896,     354.20846,      +34.89771,  2038674.83, -3457790.85,  5077223.95,      51.854187,       +0.075268,  107305.10,  143919.77,    4857.23,             5473.77,   -94.24,  52350.88,           61524.55,   -280.70,   1644.49,        2391.01,  +1.75,  +0.96
  3,     UK000F,       1,  0.121818, 2459440.438535872381, 353.02435,  34.78332,               92.48055,  48.38724,        92.47678,       47.72911,    353.02435,     +34.78332,     353.62538,      +34.34907,  2037682.49, -3458881.90,  5074952.97,      51.838754,       +0.054991,  105788.67,  141904.72,    7565.09,             8181.63,  -108.07,  67119.21,           61524.55,   -273.75,   1606.82,        2369.30,  +2.55,  +1.79
  4,     UK000F,       1,  0.162094, 2459440.438536338508, 352.64488,  34.35242,               93.27787,  48.33552,        93.26405,       47.72137,    352.64488,     +34.35242,     353.20560,      +33.94941,  2036978.76, -3459655.64,  5073342.45,      51.827803,       +0.040565,  104713.70,  140487.69,    9485.42,            10101.96,  -904.83,  47679.33,           59012.45,   -251.15,   1484.92,        2211.17,  +2.53,  +1.79
  0,     UK002C,       0,  0.000000, 2459440.438534462359,  20.46313,  42.32247,               65.18980,  36.26833,        65.18988,       36.25812,     20.46313,     +42.32247,      20.47361,      +42.31586,  2040654.15, -3455614.64,  5081753.66,      51.884938,       +0.115731,  110332.06,  183482.16,       0.00,               72.68,     1.07,      0.00,           69003.70,      6.49,     32.03,          36.74,  +4.00,  +2.68
  1,     UK002C,       0,  0.040108, 2459440.438534926623,  20.24000,  42.06963,               65.56176,  36.23258,        65.56172,       36.26139,     20.24000,     +42.06963,      20.21040,      +42.08817,  2039748.51, -3456610.37,  5079681.08,      51.870873,       +0.097204,  108946.69,  181195.89,    2471.28,             2543.96,  -233.42,  61615.59,           69003.70,    -18.25,    -89.28,         103.73,  +2.40,  +1.11
  2,     UK002C,       0,  0.080176, 2459440.438535390422,  19.86167,  41.79090,               66.05089,  36.26883,        66.05087,       36.26334,     19.86167,     +41.79090,      19.86761,      +41.78737,  2038592.17, -3457881.73,  5077034.79,      51.852902,       +0.073599,  107178.76,  178286.55,    5626.65,             5699.33,   218.88,  78750.33,           69003.70,      3.40,     16.76,          19.78,  +2.09,  +0.83
  3,     UK002C,       0,  0.120280, 2459440.438535854686,  19.60469,  41.52518,               66.45633,  36.24466,        66.45651,       36.26386,     19.60469,     +41.52518,      19.58539,      +41.53744,  2037660.24, -3458906.36,  5074902.04,      51.838408,       +0.054546,  105754.67,  175946.44,    8169.67,             8242.35,    56.41,  63410.79,           69003.70,    -11.78,    -57.79,          69.15,  +2.35,  +1.12
  4,     UK002C,       0,  0.160348, 2459440.438536318485,  19.36821,  41.31294,               66.79924,  36.24341,        66.79953,       36.26361,     19.36821,     +41.31294,      19.34808,      +41.32580,  2036890.36, -3459752.83,  5073140.15,      51.826427,       +0.038781,  104578.70,  174016.17,   10270.50,            10343.18,  -545.82,  52431.61,           65456.50,    -12.25,    -60.13,          72.73,  +3.26,  +2.06
  0,     UK002F,       0,  0.013134, 2459440.438534603454, 355.21184,  35.80020,               89.58247,  47.70286,        89.58210,       47.71516,    355.21184,     +35.80020,     355.20051,      +35.80837,  2040398.39, -3455895.85,  5081168.33,      51.880967,       +0.110495,  109940.75,  147472.72,       0.00,              770.60,  -187.05,      0.00,           66733.81,      4.77,    -31.30,          44.28,  +5.26,  +4.42
  1,     UK002F,       0,  0.052886, 2459440.438535063528, 354.53241,  35.19137,               90.80462,  47.72524,        90.80459,       47.72927,    354.53241,     +35.19137,     354.52887,      +35.19403,  2039225.57, -3457185.33,  5078484.32,      51.862748,       +0.086554,  108147.04,  145049.30,    3200.34,             3970.94,   331.55,  80507.73,           66733.81,      1.54,    -10.09,          14.51,  +2.68,  +1.87
  2,     UK002F,       0,  0.092674, 2459440.438535524067, 353.99377,  34.75095,               91.72975,  47.76789,        91.72943,       47.73225,    353.99377,     +34.75095,     354.02683,      +34.72758,  2038363.80, -3458132.82,  5076512.15,      51.849351,       +0.068922,  106829.72,  143286.16,    5551.90,             6322.51,    -1.07,  59102.27,           66733.81,    -13.55,     88.09,         128.30,  +1.07,  +0.29
  3,     UK002F,       0,  0.132494, 2459440.438535985071, 353.46930,  34.22273,               92.74423,  47.74098,        92.74381,       47.72673,    353.46930,     +34.22273,     353.48287,      +34.21345,  2037442.19, -3459146.11,  5074403.03,      51.835015,       +0.050081,  105421.56,  141420.27,    8066.76,             8837.36,  -172.54,  63155.65,           66733.81,     -5.33,     34.76,          51.30,  +1.18,  +0.43
  4,     UK002F,       0,  0.172354, 2459440.438536446076, 353.04447,  33.76513,               93.60004,  47.69672,        93.60092,       47.71572,    353.04447,     +33.76513,     353.02772,      +33.77744,  2036681.72, -3459982.23,  5072662.67,      51.823179,       +0.034508,  104260.08,  139894.72,   10141.92,            10912.52,  -786.42,  52061.09,           63181.61,      7.00,    -45.89,          68.44,  +1.80,  +1.07

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.