Orbital Analysis for matched events on 20210810_010923.747_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 80.47° Bg 15.55° Vg 77.21km/s
mass 0.05669g, abs. mag -1.4
Path Details
------------
start -4.61° 50.13° 132.05km
end   -5.04° 49.91° 117.92km

Orbit Details
-------------
Semimajor axis -0.64A.U., eccentricity 1.93, inclination 147.82°, Period 1000000000.00Y, LA Sun 137.36°, 

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: 2459436.548191520851
Time: 2021-08-10 01:09:23.747402 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000T and UK0021
 Convergence angle = 21.89478 deg
 R.A. =  77.93239  Dec = +39.01761 deg

Best intersection: Stations UK000T and UK0021 with Qconv = 21.89 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3674269.67 +/- 46.58 m
 Y =  -1996992.35 +/- 66.44 m
 Z =   4973081.49 +/- 24.52 m
 Vx =    12354.50 +/- 288.08 m/s
 Vy =    59399.79 +/- 380.97 m/s
 Vz =    49022.42 +/- 345.71 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):
    UK000T: 0.000000 s
    UK0021: -0.000195 s

Reference point on the trajectory:
  Time: 2021-08-10 01:09:23.747402 UTC
  Lon     = +-4.614046 +/- 0.0005 deg
  Lat     = +50.124935 +/- 0.0005 deg
  Lat geo = +49.939321 +/- 0.0005 deg
  Ht      =  132037.15 +/- 53.82 m

  JD dynamic   = 2459436.548992261756 
  LST apparent = 331.4755973867 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  78.25062 +/- 0.2947 deg
  Dec       = +38.93836 +/- 0.2340 deg
  Azimuth   =  52.31792 +/- 0.0623 deg
  Elevation = +19.77953 +/- 0.3211 deg
  Vavg      =  72.78777 +/- 0.2195 km/s
  Vinit     =  78.00106 +/- 0.1581 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  78.16790 +/- 0.2947 deg
  Dec       = +38.80393 +/- 0.2340 deg
  Azimuth   =  52.46295 +/- 0.0623 deg
  Elevation = +19.71966 +/- 0.3211 deg
  Vavg      =  73.01514 +/- 0.2195 km/s
  Vinit     =  78.22843 +/- 0.1581 km/s
Radiant (geocentric, J2000):
  R.A.   =  78.22407 +/- 0.2937 deg
  Dec    = +38.60278 +/- 0.2348 deg
  Vg     =  77.21062 +/- 0.1597 km/s
  Vinf   =  78.00106 +/- 0.1581 km/s
  Zc     =  70.33399 +/- 0.3212 deg
  Zg     =  70.74516 +/- 0.3220 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  80.47064 +/- 0.2163 deg
  Bg     = +15.55381 +/- 0.2530 deg
  Vh     =  56.03683 +/- 0.1869 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  98.15505 +/- 0.2187 deg
  Bh     = +21.68370 +/- 0.3922 deg
  Vh_x   =   7.38647 +/- 0.2351 km/s
  Vh_y   = -51.54498 +/- 0.2886 km/s
  Vh_z   = -20.70462 +/- 0.2833 km/s
Orbit:
  La Sun = 137.355373 +/- nan deg
  a      =  -0.638257 +/- 0.0101 AU
  e      =   1.934990 +/- 0.0073
  i      = 147.822988 +/- 0.4017 deg
  peri   = 112.085772 +/- 0.3921 deg
  node   = 137.350666 +/- 0.0001 deg
  Pi     = 249.436437 +/- 0.3922 deg
  q      =   0.596764 +/- 0.0047 AU
  f      =  67.907515 +/- 0.3921 deg
  M      =        nan +/- nan deg
  Q      =  -1.873279 +/- 0.0249 AU
  n      =   1.932905 +/- 0.0428 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -9.135919 +/- 0.1238
Shower association:
  IAU No.  =   -1
  IAU code =  ...

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 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK000T
  Avg. res. = 1.272e-04 s
  Stddev    = 1.13e-02 s

Begin point on the trajectory:
  Lon =    -4.613768 +/- 0.0005 deg
  Lat =    50.125073 +/- 0.0004 deg
  Ht  = 132046.39 +/- 53.64 m
End point on the trajectory:
  Lon =    -5.044794 +/- 0.0017 deg
  Lat =    49.910528 +/- 0.0010 deg
  Ht  = 117918.84 +/- 145.89 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
    UK000T,   False,    -3.557111,    51.483925,   37.50,   0.000000,   0.000000,   132046.39,   123717.90,          0.009163,     35.38,      4.91,             116.10, 1.0000,    True,   False, {"ff_name": "FF_UK000T_20210810_010920_379_0423424.fits"}
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   130727.09,   117918.84,          0.013572,     35.81,     20.38,             106.83, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210810_010921_244_0428544.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,     UK000T,       0,  0.000000, 2459436.548191520851, 311.54397,   1.54236,              206.64909,  37.03231,       206.64108,       37.02892,    311.54397,      +1.54236,     311.54892,       +1.53731,  3674273.99, -1996971.56,  4973098.65,      50.125073,       -4.613768,  132046.39,  215431.92,       0.00,               27.30,  2129.75,      0.00,           66699.27,     -3.75,     26.95,          26.05,  +4.07,  +2.40
  1,     UK000T,       0,  0.040648, 2459436.548191991169, 311.12874,   1.11320,              206.99583,  36.50378,       206.99225,       36.50226,    311.12874,      +1.11320,     311.13100,       +1.11093,  3673875.65, -1998886.76,  4971518.04,      50.112327,       -4.639595,  131195.72,  216574.18,    2514.95,             2487.65,  1419.50,  61871.43,           66699.27,     -1.69,     12.19,          11.72,  +2.52,  +0.84
  2,     UK000T,       0,  0.081356, 2459436.548192462418, 310.66677,   0.64397,              207.37917,  35.92250,       207.37373,       35.92020,    310.66677,      +0.64397,     310.67044,       +0.64050,  3673431.24, -2001023.48,  4969754.61,      50.098096,       -4.668383,  130247.65,  217875.48,    5320.80,             5293.49,  1050.08,  68926.17,           66699.27,     -2.60,     18.71,          17.88,  +2.20,  +0.51
  3,     UK000T,       0,  0.122064, 2459436.548192933667, 310.22102,   0.17495,              207.73808,  35.34495,       207.74317,       35.34709,    310.22102,      +0.17495,     310.21794,       +0.17821,  3672989.26, -2003148.51,  4968000.84,      50.083932,       -4.697005,  129305.82,  219197.87,    8111.28,             8083.98,   665.30,  68548.80,           66699.27,      2.46,    -17.70,          16.82,  +1.88,  +0.18
  4,     UK000T,       0,  0.162748, 2459436.548193404451, 309.76915,  -0.27958,              208.10421,  34.77841,       208.10397,       34.77831,    309.76915,      -0.27958,     309.76975,       -0.27973,  3672546.07, -2005279.33,  4966242.28,      50.069718,       -4.725695,  128362.47,  220551.55,   10909.38,            10882.07,   290.00,  68776.31,           67373.82,     -0.12,      0.84,           0.80,  +1.73,  +0.01
  5,     UK000T,       0,  0.203420, 2459436.548193875235, 309.34758,  -0.72596,              208.43323,  34.22755,       208.44502,       34.23250,    309.34758,      -0.72596,     309.34035,       -0.71834,  3672116.37, -2007345.33,  4964537.22,      50.055926,       -4.753510,  127448.81,  221890.21,   13622.35,            13595.05,  -169.49,  66703.71,           67470.84,      5.82,    -41.95,          39.37,  +1.58,  -0.15
  6,     UK000T,       0,  0.244100, 2459436.548194346018, 308.91913,  -1.17636,              208.76430,  33.66991,       208.78578,       33.67893,    308.91913,      -1.17636,     308.90556,       -1.16240,  3671675.87, -2009463.18,  4962789.36,      50.041777,       -4.782011,  126513.25,  223288.45,   16403.42,            16376.12,  -561.49,  68364.64,           67601.24,     10.72,    -77.28,          72.07,  +1.44,  -0.30
  7,     UK000T,       0,  0.284756, 2459436.548194816336, 308.46146,  -1.61111,              209.12982,  33.11744,       209.12701,       33.11627,    308.46146,      -1.61111,     308.46429,       -1.61294,  3671223.12, -2011640.00,  4960992.84,      50.027222,       -4.811291,  125552.73,  224752.50,   19261.92,            19234.62,  -874.21,  70309.31,           67881.06,     -1.42,     10.20,           9.45,  +1.26,  -0.50
  8,     UK000T,       0,  0.325412, 2459436.548195287120, 308.03869,  -2.04711,              209.45064,  32.57339,       209.45148,       32.57374,    308.03869,      -2.04711,     308.03925,       -2.04656,  3670781.59, -2013762.87,  4959240.84,      50.013017,       -4.839841,  124617.06,  226206.26,   22049.58,            22022.27, -1257.76,  68566.96,           68057.36,      0.43,     -3.07,           2.83,  +1.22,  -0.55
  9,     UK000T,       0,  0.366044, 2459436.548195757437, 307.64411,  -2.46827,              209.74113,  32.05133,       209.75618,       32.05762,    307.64411,      -2.46827,     307.63521,       -2.45834,  3670356.82, -2015805.14,  4957555.37,      49.999341,       -4.867306,  123717.90,  227628.66,   24731.39,            24704.09, -1745.29,  66002.44,           68035.20,      7.78,    -55.97,          51.20,  +1.09,  -0.70
  0,     UK0021,       1,  0.035993, 2459436.548192183487, 301.11181,  21.15114,              231.51774,  51.54945,       231.51521,       51.54940,    301.11181,     +21.15114,     301.11322,      +21.15026,  3674044.01, -1998077.33,  4972186.06,      50.117715,       -4.628822,  131555.14,  166906.94,       0.00,             1424.74,   719.73,      0.00,           71648.77,     -2.27,      4.00,           5.68,  +4.84,  +3.73
  1,     UK0021,       0,  0.076653, 2459436.548192654271, 300.65893,  20.47212,              231.51555,  50.74928,       231.55530,       50.74999,    300.65893,     +20.47212,     300.63673,      +20.48604,  3673656.05, -1999942.61,  4970646.65,      50.105296,       -4.653977,  130727.09,  167676.07,    2449.40,             3874.15,    -2.39,  60241.09,           71648.77,     36.36,    -64.01,          90.56,  +1.64,  +0.52
  2,     UK0021,       0,  0.117457, 2459436.548193126451, 300.05282,  19.67862,              231.61583,  49.77480,       231.60148,       49.77455,    300.05282,     +19.67862,     300.06139,      +19.67352,  3673177.40, -2002243.95,  4968747.37,      50.089963,       -4.684964,  129706.59,  168668.15,    5471.41,             6896.15,  -163.14,  74061.56,           71648.77,    -13.50,     23.73,          33.39,  +1.39,  +0.25
  3,     UK0021,       0,  0.158321, 2459436.548193599097, 299.45118,  18.80822,              231.65433,  48.73576,       231.64836,       48.73566,    299.45118,     +18.80822,     299.45518,      +18.80606,  3672661.09, -2004726.32,  4966698.67,      50.073408,       -4.718365,  128607.19,  169791.94,    8731.15,            10155.89,   -90.84,  79770.38,           71648.77,     -5.78,     10.16,          14.19,  +1.03,  -0.12
  4,     UK0021,       0,  0.199181, 2459436.548194072209, 298.85384,  17.94612,              231.70151,  47.70446,       231.69301,       47.70432,    298.85384,     +17.94612,     298.85956,      +17.94301,  3672141.52, -2007224.39,  4964637.03,      50.056734,       -4.751963,  127502.27,  170978.44,   12011.50,            13436.24,     2.39,  80282.63,           74272.47,     -8.44,     14.84,          20.60,  +0.71,  -0.45
  5,     UK0021,       0,  0.239981, 2459436.548194544390, 298.31430,  17.14123,              231.72974,  46.74941,       231.73302,       46.74946,    298.31430,     +17.14123,     298.31317,      +17.14245,  3671653.90, -2009568.83,  4962702.17,      50.041071,       -4.783496,  126466.62,  172142.09,   15090.11,            16514.85,  -101.44,  75456.24,           75189.83,      3.34,     -5.88,           8.10,  +0.65,  -0.53
  6,     UK0021,       0,  0.280769, 2459436.548195016570, 297.78203,  16.35524,              231.76904,  45.81302,       231.77094,       45.81305,    297.78203,     +16.35524,     297.78189,      +16.35595,  3671169.09, -2011899.77,  4960778.46,      50.025484,       -4.814837,  125438.20,  173345.84,   18150.98,            19575.73,  -222.07,  75043.49,           75501.61,      1.98,     -3.49,           4.78,  +0.60,  -0.59
  7,     UK0021,       0,  0.321629, 2459436.548195489682, 297.18566,  15.51482,              231.84785,  44.79711,       231.81033,       44.79647,    297.18566,     +15.51482,     297.21016,      +15.50052,  3670634.77, -2014468.75,  4958658.28,      50.008291,       -4.849349,  124306.23,  174724.74,   21524.46,            22949.20,   -35.72,  82561.74,           76220.64,    -40.19,     70.56,          95.87,  +0.48,  -0.73
  8,     UK0021,       0,  0.362473, 2459436.548195962328, 296.63621,  14.67209,              231.87508,  43.80151,       231.84760,       43.80104,    296.63621,     +14.67209,     296.65490,      +14.66148,  3670103.11, -2017024.95,  4956548.66,      49.991167,       -4.883678,  123181.41,  176150.56,   24881.14,            26305.89,   135.09,  82183.13,           76953.93,    -30.18,     53.00,          71.41,  +0.33,  -0.90
  9,     UK0021,       0,  0.403289, 2459436.548196434509, 296.11301,  13.86021,              231.89888,  42.84445,       231.88236,       42.84416,    296.11301,     +13.86021,     296.12511,      +13.85374,  3669583.68, -2019522.34,  4954487.57,      49.974422,       -4.917209,  122083.94,  177594.27,   28160.60,            29585.35,   230.85,  80347.34,           77512.21,    -18.59,     32.65,          43.63,  +0.35,  -0.90
 10,     UK0021,       0,  0.444073, 2459436.548196906690, 295.61147,  13.07766,              231.92265,  41.92251,       231.91491,       41.92237,    295.61147,     +13.07766,     295.61819,      +13.07459,  3669075.07, -2021967.70,  4952469.43,      49.958010,       -4.950034,  121010.74,  179055.28,   31371.73,            32796.47,   260.78,  78734.93,           77872.18,     -8.91,     15.66,          20.75,  +0.31,  -0.95
 11,     UK0021,       0,  0.484893, 2459436.548197378870, 295.07957,  12.27335,              231.96899,  40.96595,       231.94753,       40.96558,    295.07957,     +12.27335,     295.09551,      +12.26476,  3668538.02, -2024549.81,  4950338.42,      49.940665,       -4.984672,  119879.04,  180647.08,   34762.44,            36187.19,   467.50,  83065.07,           78279.59,    -25.29,     44.40,          58.35,  +0.18,  -1.10
 12,     UK0021,       0,  0.525597, 2459436.548197850119, 294.63938,  11.57310,              231.98649,  40.14397,       231.97521,       40.14377,    294.63938,     +11.57310,     294.64890,      +11.56855,  3668069.09, -2026804.40,  4948477.72,      49.925507,       -5.014927,  118892.14,  182078.39,   37723.07,            39147.81,   253.16,  72735.42,           78343.57,    -13.56,     23.81,          31.04,  +0.77,  -0.53
 13,     UK0021,       0,  0.566285, 2459436.548198320903, 294.21546,  10.89079,              232.00040,  39.34502,       232.00152,       39.34504,    294.21546,     +10.89079,     294.21693,      +10.89125,  3667606.07, -2029030.57,  4946640.47,      49.910528,       -5.044794,  117918.84,  183527.93,   40646.36,            42071.11,     2.75,  71846.68,           78198.82,      1.37,     -2.41,           3.12,  +2.88,  +1.56

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.