Orbital Analysis for matched events on 20210813_224412.109_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.18° Bg 38.02° Vg 61.01km/s
mass 0.02004g, abs. mag 0.0
Path Details
------------
start 0.03° 53.57° 111.80km
end   -0.20° 53.41° 93.78km

Orbit Details
-------------
Semimajor axis -15.76A.U., eccentricity 1.06, inclination 115.30°, Period 1000000000.00Y, LA Sun 141.10°, 

Full details below
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Detailed report below graphs

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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: 2459440.447362381034
Time: 2021-08-13 22:44:12.149753 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK003G
 Convergence angle = 29.35848 deg
 R.A. =  47.32245  Dec = +57.73002 deg

Best intersection: Stations UK000Z and UK003G with Qconv = 29.36 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2141784.57 +/- 248.90 m
 Y =  -3213573.96 +/- 104.74 m
 Z =   5200456.00 +/- 293.00 m
 Vx =    22637.49 +/- 589.78 m/s
 Vy =    24099.23 +/- 418.72 m/s
 Vz =    52463.67 +/- 632.94 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: 0.000000 s
    UK003G: 0.005714 s

Reference point on the trajectory:
  Time: 2021-08-13 22:44:12.149753 UTC
  Lon     = ++0.048248 +/- 0.0039 deg
  Lat     = +53.582918 +/- 0.0012 deg
  Lat geo = +53.402102 +/- 0.0012 deg
  Ht      =  113204.79 +/- 266.98 m

  JD dynamic   = 2459440.448163585272 
  LST apparent = 303.6826847171 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.79140 +/- 0.6379 deg
  Dec       = +57.77976 +/- 0.1393 deg
  Azimuth   =  40.89655 +/- 0.4146 deg
  Elevation = +37.51773 +/- 0.1639 deg
  Vavg      =  61.90242 +/- 0.0671 km/s
  Vinit     =  62.01343 +/- 0.6536 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.68163 +/- 0.6379 deg
  Dec       = +57.56583 +/- 0.1393 deg
  Azimuth   =  41.14359 +/- 0.4146 deg
  Elevation = +37.41397 +/- 0.1639 deg
  Vavg      =  62.04912 +/- 0.0671 km/s
  Vinit     =  62.16013 +/- 0.6536 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.00214 +/- 0.6310 deg
  Dec    = +57.38197 +/- 0.1406 deg
  Vg     =  61.01310 +/- 0.6641 km/s
  Vinf   =  62.01343 +/- 0.6536 km/s
  Zc     =  52.61904 +/- 0.1647 deg
  Zg     =  53.07973 +/- 0.1619 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.18314 +/- 0.4603 deg
  Bg     = +38.02311 +/- 0.0535 deg
  Vh     =  42.51692 +/- 0.6272 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  77.76748 +/- 0.9341 deg
  Bh     = +62.12329 +/- 0.4018 deg
  Vh_x   =  -4.21209 +/- 0.3235 km/s
  Vh_y   = -19.42830 +/- 0.5645 km/s
  Vh_z   = -37.58308 +/- 0.4163 km/s
Orbit:
  La Sun = 141.098260 +/- -0.0000 deg
  a      = -15.756172 +/- 24.5238 AU
  e      =   1.061548 +/- 0.0588
  i      = 115.298797 +/- 0.3575 deg
  peri   = 156.485994 +/- 0.8254 deg
  node   = 141.096733 +/- 0.0000 deg
  Pi     = 297.582727 +/- 0.8253 deg
  q      =   0.969757 +/- 0.0031 AU
  f      =  23.509855 +/- 0.8254 deg
  M      =        nan +/- nan deg
  Q      = -32.482101 +/- 49.0473 AU
  n      =   0.015759 +/- 0.0304 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -0.860026 +/- 0.3308
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 = 2.120910
 a2 = 10.659218

Mean time residuals from time vs. length:
  Station with reference time: UK000Z
  Avg. res. = 2.267e-05 s
  Stddev    = 4.76e-03 s

Begin point on the trajectory:
  Lon =     0.030481 +/- 0.0034 deg
  Lat =    53.570707 +/- 0.0009 deg
  Ht  = 111800.42 +/- 231.33 m
End point on the trajectory:
  Lon =    -0.199890 +/- 0.0020 deg
  Lat =    53.412886 +/- 0.0004 deg
  Ht  = 93776.45 +/- 142.21 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,  35.490851,   4.436356,   111800.42,    93776.45,          0.010803,     29.21,      5.29,              19.21, 1.0000,    True,    True, {"ff_name": "FF_UK000Z_20210813_224411_976_0221184.fits"}
    UK003G,   False,    -1.802002,    51.351948,  130.00,   0.332793,  15.078957,   108366.90,    94760.14,          0.011829,     55.54,     19.72,              18.10, 1.0000,    True,    True, {"ff_name": "FF_UK003G_20210813_224412_638_0231680.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,       1,  0.000000, 2459440.447362381034,  22.77585,  45.66809,               63.68291,  39.66710,        63.68258,       39.67360,     22.77585,     +45.66809,      22.76863,      +45.67243,  2141721.25, -3213641.37,  5200309.24,      53.582000,       +0.047079,  113099.15,  174613.23,       0.00,              173.47,  -102.31,      0.00,           63775.69,     -3.57,    -19.51,          23.43,  +4.50,  +3.29
  1,     UK000Z,       0,  0.040000, 2459440.447362844367,  22.52611,  45.51699,               63.97894,  39.70548,        63.97994,       39.68438,     22.52611,     +45.51699,      22.54851,      +45.50294,  2140942.66, -3214470.23,  5198504.82,      53.570707,       +0.030481,  111800.42,  172590.27,    2132.87,             2306.34,  -449.98,  53321.80,           63775.69,     11.37,     62.60,          76.04,  +2.84,  +1.65
  2,     UK000Z,       0,  0.080064, 2459440.447363307700,  22.26018,  45.26530,               64.38568,  39.68879,        64.38535,       39.69708,     22.26018,     +45.26530,      22.25140,      +45.27079,  2139911.75, -3215567.70,  5196115.64,      53.555744,       +0.008562,  110081.48,  169918.59,    4956.95,             5130.41,  -110.41,  70489.10,           63775.69,     -4.43,    -24.20,          29.87,  +2.11,  +0.96
  3,     UK000Z,       0,  0.120092, 2459440.447363771033,  21.97178,  45.04793,               64.77188,  39.70649,        64.77183,       39.70805,     21.97178,     +45.04793,      21.97034,      +45.04896,  2138958.19, -3216582.85,  5193905.69,      53.541892,       -0.011722,  108492.17,  167451.37,    7569.16,             7742.63,    19.54,  65259.75,           63775.69,     -0.82,     -4.49,           5.62,  +1.59,  +0.47
  4,     UK000Z,       0,  0.160124, 2459440.447364234366,  21.70122,  44.83204,               65.14684,  39.71578,        65.14678,       39.71760,     21.70122,     +44.83204,      21.69968,      +44.83324,  2138059.10, -3217539.99,  5191822.01,      53.528823,       -0.030854,  106994.24,  165128.91,   10032.13,            10205.60,    -0.02,  61525.02,           63697.75,     -0.94,     -5.16,           6.55,  +1.66,  +0.57
  5,     UK000Z,       0,  0.200164, 2459440.447364698164,  21.41682,  44.60016,               65.54663,  39.72271,        65.54654,       39.72636,     21.41682,     +44.60016,      21.41350,      +44.60255,  2137127.99, -3218531.22,  5189664.11,      53.515279,       -0.050658,  105443.57,  162728.53,   12582.83,            12756.30,    67.67,  63703.79,           63676.34,     -1.86,    -10.22,          13.16,  +1.25,  +0.19
  6,     UK000Z,       0,  0.240192, 2459440.447365161031,  21.15150,  44.38926,               65.91483,  39.73294,        65.91482,       39.73347,     21.15150,     +44.38926,      21.15166,      +44.38961,  2136293.52, -3219419.57,  5187730.19,      53.503132,       -0.068421,  104054.37,  160580.59,   14868.78,            15042.24,  -128.66,  57108.62,           62965.14,     -0.27,     -1.47,           1.92,  +1.37,  +0.34
  7,     UK000Z,       0,  0.280236, 2459440.447365624830,  20.86128,  44.14247,               66.33436,  39.73412,        66.33429,       39.73989,     20.86128,     +44.14247,      20.85606,      +44.14622,  2135370.12, -3220402.60,  5185590.15,      53.489681,       -0.088056,  102517.69,  158209.23,   17398.36,            17571.83,   -82.35,  63170.09,           62685.87,     -2.86,    -15.68,          20.79,  +1.10,  +0.10
  8,     UK000Z,       0,  0.320268, 2459440.447366088163,  20.57111,  43.91169,               66.73867,  39.74585,        66.73868,       39.74480,     20.57111,     +43.91169,      20.57328,      +43.91101,  2134505.21, -3221323.36,  5183585.67,      53.477074,       -0.106456,  101078.89,  155992.27,   19767.70,            19941.17,  -195.53,  59186.18,           62322.26,      0.51,      2.80,           3.77,  +1.08,  +0.11
  9,     UK000Z,       0,  0.360308, 2459440.447366551496,  20.26166,  43.65291,               67.18328,  39.75055,        67.18328,       39.74841,     20.26166,     +43.65291,      20.26516,      +43.65153,  2133582.21, -3222305.96,  5181446.56,      53.463611,       -0.126077,   99544.05,  153632.14,   22296.19,            22469.66,  -150.06,  63149.07,           62182.25,      1.03,      5.65,           7.71,  +1.01,  +0.08
 10,     UK000Z,       0,  0.400328, 2459440.447367014829,  19.94394,  43.41324,               67.61477,  39.77247,        67.61468,       39.75044,     19.94394,     +43.41324,      19.96859,      +43.39909,  2132712.72, -3223231.59,  5179431.48,      53.450920,       -0.144567,   98098.75,  151413.54,   24678.07,            24851.53,  -249.96,  59517.19,           61984.80,     10.35,     57.31,          79.33,  +0.84,  -0.06
 11,     UK000Z,       0,  0.440400, 2459440.447367478628,  19.65040,  43.11425,               68.09133,  39.74300,        68.09143,       39.75063,     19.65040,     +43.11425,      19.64392,      +43.11912,  2131780.85, -3224223.64,  5177271.81,      53.437308,       -0.164369,   96550.36,  149042.11,   27230.85,            27404.32,  -182.17,  63704.94,           61937.09,     -3.55,    -19.53,          27.47,  +1.07,  +0.20
 12,     UK000Z,       0,  0.480436, 2459440.447367941961,  19.29848,  42.82859,               68.59129,  39.75494,        68.59118,       39.74870,     19.29848,     +42.82859,      19.30679,      +42.82462,  2130834.83, -3225230.74,  5175079.37,      53.423480,       -0.184466,   94979.11,  146641.26,   29822.37,            29995.84,   -73.42,  64729.77,           62000.33,      2.85,     15.72,          22.48,  +1.10,  +0.27
 13,     UK000Z,       0,  0.520460, 2459440.447368405294,  19.02119,  42.60458,               68.98496,  39.76530,        68.98451,       39.74631,     19.02119,     +42.60458,      19.04306,      +42.59254,  2130110.51, -3226001.83,  5173400.71,      53.412886,       -0.199890,   93776.45,  144805.70,   31806.59,            31980.06,  -571.23,  49575.64,           61685.20,      8.53,     47.25,          68.39,  +2.70,  +1.90
  0,     UK003G,       0,  0.131672, 2459440.447363145184,  79.14064,  52.96432,               25.81397,  20.30112,        25.82993,       20.29047,     79.14064,     +52.96432,      79.12644,      +52.94805,  2138883.02, -3216662.87,  5193731.49,      53.540800,       -0.013082,  108366.90,  295080.44,       0.00,             7948.54,  -492.68,      0.00,           66366.84,    -31.70,     89.17,          66.15,  +3.91,  +1.56
  1,     UK003G,       0,  0.211956, 2459440.447364074178,  79.66202,  52.78904,               25.59824,  20.00325,        25.60486,       19.99884,     79.66202,     +52.78904,      79.65640,      +52.78232,  2136830.03, -3218848.42,  5188973.58,      53.510942,       -0.056716,  104947.49,  289752.74,    5623.98,            13572.52,   152.61,  70051.04,           66366.84,    -12.93,     36.33,          27.45,  +1.56,  -0.75
  2,     UK003G,       0,  0.252084, 2459440.447364538908,  79.89227,  52.70627,               25.50466,  19.86710,        25.50371,       19.86773,     79.89227,     +52.70627,      79.89363,      +52.70723,  2135931.27, -3219805.21,  5186890.66,      53.497856,       -0.075834,  103451.47,  287423.48,    8086.05,            16034.59,   126.20,  61355.36,           66366.84,      1.83,     -5.14,           3.92,  +1.90,  -0.39
  3,     UK003G,       0,  0.292208, 2459440.447365003172,  80.15100,  52.63513,               25.38858,  19.73388,        25.39665,       19.72851,     80.15100,     +52.63513,      80.14434,      +52.62696,  2134993.17, -3220803.89,  5184716.55,      53.484188,       -0.095778,  101890.58,  284994.95,   10655.90,            18604.44,   207.83,  64047.81,           66366.84,    -15.50,     43.60,          33.49,  +1.12,  -1.15
  4,     UK003G,       0,  0.332332, 2459440.447365467437,  80.39390,  52.56163,               25.28223,  19.60296,        25.29410,       19.59505,     80.39390,     +52.56163,      80.38392,      +52.54962,  2134108.91, -3221745.24,  5182667.24,      53.471295,       -0.114585,  100419.85,  282707.93,   13078.24,            21026.78,   141.94,  60371.38,           65118.88,    -22.62,     63.68,          49.31,  +1.57,  -0.69
  5,     UK003G,       0,  0.372452, 2459440.447365932167,  80.63654,  52.49363,               25.17295,  19.47722,        25.19328,       19.46368,     80.63654,     +52.49363,      80.61893,      +52.47308,  2133252.51, -3222656.95,  5180682.46,      53.458799,       -0.132802,   98995.96,  280495.04,   15424.29,            23372.84,     0.02,  58475.89,           63906.05,    -38.39,    108.27,          84.48,  +1.39,  -0.85
  6,     UK003G,       0,  0.412580, 2459440.447366396431,  80.82960,  52.40003,               25.10383,  19.34173,        25.10104,       19.34358,     80.82960,     +52.40003,      80.83334,      +52.40283,  2132481.33, -3223477.93,  5178895.21,      53.447541,       -0.149220,   97714.20,  278503.85,   17536.88,            25485.42,  -375.87,  52646.09,           62385.02,      5.24,    -14.71,          11.57,  +1.64,  -0.58
  7,     UK003G,       0,  0.452708, 2459440.447366860695,  81.08610,  52.32439,               24.98894,  19.20574,        24.99347,       19.20273,     81.08610,     +52.32439,      81.08325,      +52.31983,  2131591.43, -3224425.29,  5176832.81,      53.434540,       -0.168137,   96235.68,  276209.21,   19974.68,            27923.22,  -426.55,  60750.70,           61562.66,     -8.44,     23.76,          18.83,  +1.15,  -1.06
  8,     UK003G,       0,  0.492844, 2459440.447367325425,  81.33441,  52.23498,               24.88453,  19.05965,        24.88446,       19.05969,     81.33441,     +52.23498,      81.33598,      +52.23505,  2130702.99, -3225371.09,  5174773.81,      53.421552,       -0.187020,   94760.14,  273920.90,   22408.48,            30357.02,  -481.72,  60638.74,           61094.57,      0.13,     -0.36,           0.28,  +1.30,  -0.89

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.