Orbital Analysis for matched events on 20210816_002842.004_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 86.60° Bg 69.89° Vg 46.22km/s
mass 0.14040g, abs. mag -2.6
Path Details
------------
start -4.05° 52.68° 93.98km
end   -4.05° 52.59° 79.99km

Orbit Details
-------------
Semimajor axis -1.91A.U., eccentricity 1.52, inclination 69.58°, Period 1000000000.00Y, LA Sun 143.09°, 

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: 2459442.519930602051
Time: 2021-08-16 00:28:42.044130 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK001L
 Convergence angle = 31.70479 deg
 R.A. = 277.44906  Dec = +85.19548 deg

Best intersection: Stations UK000S and UK001L with Qconv = 31.70 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3325667.61 +/- 78.82 m
 Y =  -2098511.36 +/- 95.31 m
 Z =   5124886.85 +/- 109.23 m
 Vx =     1399.43 +/- 565.93 m/s
 Vy =    -2735.80 +/- 693.05 m/s
 Vz =    47438.31 +/- 655.82 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):
    UK000S: 0.001339 s
    UK001L: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 00:28:42.044130 UTC
  Lon     = +-4.053927 +/- 0.0017 deg
  Lat     = +52.683385 +/- 0.0007 deg
  Lat geo = +52.500410 +/- 0.0007 deg
  Ht      =   95036.01 +/- 90.22 m

  JD dynamic   = 2459442.520731807221 
  LST apparent = 327.7478883073 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 297.09085 +/- 16.1160 deg
  Dec       = +86.29369 +/- 0.4453 deg
  Azimuth   = 356.63588 +/- 1.9220 deg
  Elevation = +55.82693 +/- 0.2144 deg
  Vavg      =  47.16352 +/- 0.6037 km/s
  Vinit     =  47.53774 +/- 0.6331 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 297.09085 +/- 16.1160 deg
  Dec       = +86.29369 +/- 0.4453 deg
  Azimuth   = 356.63588 +/- 1.9220 deg
  Elevation = +55.82693 +/- 0.2144 deg
  Vavg      =  47.16352 +/- 0.6037 km/s
  Vinit     =  47.53774 +/- 0.6331 km/s
Radiant (geocentric, J2000):
  R.A.   = 289.21644 +/- 18.8201 deg
  Dec    = +86.44393 +/- 0.4897 deg
  Vg     =  46.22152 +/- 0.6523 km/s
  Vinf   =  47.53774 +/- 0.6331 km/s
  Zc     =  34.37407 +/- 0.2145 deg
  Zg     =  34.87163 +/- 0.2133 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  86.59632 +/- 1.5431 deg
  Bg     = +69.88806 +/- 1.0199 deg
  Vh     =  47.07526 +/- 1.0723 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 205.50106 +/- 0.8616 deg
  Bh     = +67.21943 +/- 0.3183 deg
  Vh_x   =  16.45189 +/- 0.5091 km/s
  Vh_y   =   7.84752 +/- 0.4465 km/s
  Vh_z   = -43.40313 +/- 0.9036 km/s
Orbit:
  La Sun = 143.089368 +/- nan deg
  a      =  -1.911807 +/- 4.9100 AU
  e      =   1.515553 +/- 0.1063
  i      =  69.584496 +/- 0.3941 deg
  peri   = 162.876004 +/- 0.9313 deg
  node   = 143.091474 +/- 0.0000 deg
  Pi     = 305.967478 +/- 0.9314 deg
  q      =   0.985637 +/- 0.0020 AU
  f      =  17.120207 +/- 0.9313 deg
  M      =        nan +/- nan deg
  Q      =  -4.809251 +/- 9.8192 AU
  n      =   0.372854 +/- 0.0825 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -2.240630 +/- 0.5423
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 = 0.122985
 a2 = 20.993166

Mean time residuals from time vs. length:
  Station with reference time: UK001L
  Avg. res. = 5.951e-06 s
  Stddev    = 2.44e-03 s

Begin point on the trajectory:
  Lon =    -4.053315 +/- 0.0014 deg
  Lat =    52.677065 +/- 0.0005 deg
  Ht  = 93983.02 +/- 51.65 m
End point on the trajectory:
  Lon =    -4.046696 +/- 0.0036 deg
  Lat =    52.592824 +/- 0.0010 deg
  Ht  = 79987.41 +/- 107.62 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.746179,   9.016392,    92909.94,    85019.36,          0.028600,     76.68,    110.12,              45.96, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210816_002834_165_0393984.fits"}
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.140133,  20.666763,    93983.02,    79987.41,          0.016457,     48.68,     42.12,              57.04, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210816_002834_279_0393728.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,     UK000S,       0,  0.062265, 2459442.519931232557, 206.00464,  46.55581,              323.01204,  18.67820,       322.99285,       18.68792,    206.00464,     +46.55581,     206.03472,      +46.55387,  3325591.95, -2098363.46,  5122322.30,      52.670622,       -4.052752,   92909.94,  273705.63,       0.00,             2569.93,    -0.57,      0.00,           46563.08,    -80.85,     56.27,          74.23,  +1.33,  -0.86
  1,     UK000S,       0,  0.102421, 2459442.519931697287, 205.96849,  46.25888,              322.86116,  18.41680,       322.84329,       18.42585,    205.96849,     +46.25888,     205.99656,      +46.25708,  3325531.84, -2098245.95,  5120284.58,      52.660474,       -4.051939,   91220.85,  272238.29,    2041.99,             4611.91,   132.49,  50851.33,           46563.08,    -74.96,     52.17,          69.20,  +1.11,  -1.06
  2,     UK000S,       0,  0.142541, 2459442.519932162017, 205.95239,  46.01126,              322.72730,  18.20399,       322.71913,       18.20813,    205.95239,     +46.01126,     205.96555,      +46.01044,  3325482.43, -2098149.35,  5118609.59,      52.652129,       -4.051301,   89832.55,  271038.91,    3720.49,             6290.41,   -96.22,  41837.01,           46563.08,    -34.12,     23.75,          31.64,  +0.46,  -1.71
  3,     UK000S,       0,  0.182677, 2459442.519932626281, 205.95204,  45.71996,              322.55895,  17.96059,       322.57427,       17.95282,    205.95204,     +45.71996,     205.92922,      +45.72148,  3325425.04, -2098037.16,  5116664.23,      52.642433,       -4.050532,   88220.33,  269651.23,    5669.92,             8239.85,   -54.76,  48570.74,           46563.08,     63.79,    -44.41,          59.46,  +0.45,  -1.70
  4,     UK000S,       0,  0.222809, 2459442.519933091011, 205.96348,  45.42007,              322.37886,  17.71440,       322.42596,       17.69050,    205.96348,     +45.42007,     205.89226,      +45.42471,  3325366.71, -2097923.12,  5114686.83,      52.632571,       -4.049748,   86581.73,  268247.74,    7651.47,            10221.40,    19.00,  49375.76,           47168.82,    195.29,   -136.02,         183.00,  +0.18,  -1.96
  5,     UK000S,       0,  0.262969, 2459442.519933555741, 205.90452,  45.13562,              322.25161,  17.45378,       322.28340,       17.43767,    205.90452,     +45.13562,     205.85711,      +45.13874,  3325311.08, -2097814.38,  5112801.22,      52.623163,       -4.049008,   85019.36,  266916.55,    9541.03,            12110.95,    -0.56,  47050.69,           47325.02,    131.27,    -91.42,         123.61,  +0.57,  -1.56
  0,     UK001L,       1,  0.000000, 2459442.519930602051, 235.22062,  34.48865,              296.49611,  23.49817,       296.49382,       23.49981,    235.22062,     +34.48865,     235.22384,      +34.48847,  3325669.08, -2098514.24,  5124936.82,      52.683634,       -4.053783,   95077.44,  229675.01,       0.00,               50.07,   439.53,      0.00,           45098.37,     -6.98,      8.06,           9.57,  +4.69,  +2.88
  1,     UK001L,       0,  0.040120, 2459442.519931066316, 235.21591,  34.21935,              296.30274,  23.29557,       296.31322,       23.28805,    235.21591,     +34.21935,     235.20134,      +34.22020,  3325630.14, -2098438.11,  5123616.74,      52.677065,       -4.053315,   93983.02,  228906.28,    1322.85,             1272.77,  -244.98,  32972.25,           45098.37,     31.94,    -36.92,          43.99,  +2.26,  +0.46
  2,     UK001L,       0,  0.080360, 2459442.519931531977, 235.13628,  33.78011,              296.03701,  22.92468,       296.01723,       22.93883,    235.13628,     +33.78011,     235.16430,      +33.77849,  3325566.43, -2098313.58,  5121457.28,      52.666315,       -4.052444,   92192.89,  227653.68,    3486.83,             3436.76,     6.08,  53776.98,           45098.37,    -60.00,     69.30,          83.05,  +1.00,  -0.79
  3,     UK001L,       0,  0.120540, 2459442.519931997173, 235.11184,  33.40156,              295.77982,  22.62892,       295.76503,       22.63948,    235.11184,     +33.40156,     235.13297,      +33.40036,  3325512.48, -2098208.11,  5119628.49,      52.657206,       -4.051732,   90677.04,  226605.08,    5319.45,             5269.37,   -71.37,  45610.15,           45098.37,    -44.69,     51.62,          62.15,  +0.36,  -1.42
  4,     UK001L,       0,  0.160744, 2459442.519932462368, 235.07399,  32.98650,              295.50674,  22.29786,       295.48935,       22.31027,    235.07399,     +32.98650,     235.09883,      +32.98509,  3325453.78, -2098093.35,  5117638.66,      52.647290,       -4.050942,   89027.87,  225474.65,    7313.45,             7263.38,    11.43,  49597.21,           46339.01,    -52.35,     60.47,          73.17,  -0.13,  -1.90
  5,     UK001L,       0,  0.200920, 2459442.519932927564, 235.05061,  32.61416,              295.25589,  22.00624,       295.24352,       22.01505,    235.05061,     +32.61416,     235.06858,      +32.61316,  3325401.73, -2097991.59,  5115874.09,      52.638493,       -4.050261,   87565.55,  224483.34,    9081.72,             9031.64,  -130.18,  44012.91,           46361.18,    -37.09,     42.85,          52.07,  -0.47,  -2.23
  6,     UK001L,       0,  0.241152, 2459442.519933393225, 235.01219,  32.14019,              294.94418,  21.62947,       294.93180,       21.63828,    235.01219,     +32.14019,     235.03028,      +32.13919,  3325336.00, -2097863.08,  5113645.80,      52.627378,       -4.049356,   85719.14,  223242.68,   11314.69,            11264.61,   190.25,  55502.30,           47349.59,    -36.97,     42.71,          52.20,  -0.63,  -2.37
  7,     UK001L,       0,  0.281316, 2459442.519933857955, 235.00328,  31.77077,              294.68812,  21.34705,       294.69071,       21.34522,    235.00328,     +31.77077,     235.00090,      +31.77098,  3325285.47, -2097764.32,  5111933.23,      52.618831,       -4.048699,   84300.21,  222301.92,   13030.85,            12980.77,    -2.90,  42728.82,           47376.50,      7.69,     -8.89,          10.90,  -0.68,  -2.41
  8,     UK001L,       0,  0.321532, 2459442.519934323616, 234.95511,  31.34729,              294.42199,  21.00145,       294.41410,       21.00705,    234.95511,     +31.34729,     234.96727,      +31.34666,  3325227.75, -2097651.47,  5109976.44,      52.609060,       -4.047925,   82679.10,  221237.03,   14991.74,            14941.66,    46.22,  48758.98,           47481.27,    -23.38,     27.02,          33.31,  -0.25,  -1.97
  9,     UK001L,       0,  0.361684, 2459442.519934788346, 234.93106,  31.03915,              294.22173,  20.75576,       294.21397,       20.76126,    234.93106,     +31.03915,     234.94316,      +31.03853,  3325186.23, -2097570.31,  5108569.12,      52.602030,       -4.047416,   81513.28,  220481.49,   16402.01,            16351.93,  -452.25,  35123.28,           46861.30,    -22.92,     26.48,          32.76,  -0.10,  -1.82
 10,     UK001L,       0,  0.401852, 2459442.519935253076, 234.94090,  30.63067,              293.92848,  20.45313,       293.95130,       20.43696,    234.94090,     +30.63067,     234.91150,      +30.63247,  3325131.89, -2097464.07,  5106726.97,      52.592824,       -4.046696,   79987.41,  219499.22,   18248.01,            18197.94,  -515.74,  45957.08,           46482.02,     67.17,    -77.69,          96.51,  +1.76,  +0.05

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.