Orbital Analysis for matched events on 20210816_015429.096_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 30.93° Bg -6.06° Vg 74.27km/s
mass 0.02324g, abs. mag -1.5
Path Details
------------
start -3.54° 53.29° 99.08km
end   -3.66° 53.34° 92.64km

Orbit Details
-------------
Semimajor axis -1.42A.U., eccentricity 1.51, inclination 168.63°, Period 1000000000.00Y, LA Sun 143.15°, 

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: 2459442.579503437039
Time: 2021-08-16 01:54:29.137354 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0027 and UK003F
 Convergence angle = 6.94179 deg
 R.A. =  31.06971  Dec = +15.15228 deg

Best intersection: Stations UK0027 and UK003F with Qconv = 6.94 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3821243.56 +/- 400.22 m
 Y =   -687866.75 +/- 294.54 m
 Z =   5169378.08 +/- 771.52 m
 Vx =    63921.26 +/- 4282.57 m/s
 Vy =    38473.82 +/- 3088.63 m/s
 Vz =     8531.79 +/- 8086.13 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.098041e+05, +7.981973e+04, -2.093228e+05, +8.312148e+05, +5.979476e+05, -1.426557e+06
+7.981973e+04, +6.153469e+04, -1.529155e+05, +5.886867e+05, +4.529906e+05, -1.030951e+06
-2.093228e+05, -1.529155e+05, +4.166622e+05, -1.614877e+06, -1.161772e+06, +2.775034e+06
+8.312148e+05, +5.886867e+05, -1.614877e+06, +7.294906e+06, +5.040534e+06, -1.227809e+07
+5.979476e+05, +4.529906e+05, -1.161772e+06, +5.040534e+06, +3.750216e+06, -8.672676e+06
-1.426557e+06, -1.030951e+06, +2.775034e+06, -1.227809e+07, -8.672676e+06, +2.081072e+07

Timing offsets (from input data):
    UK0027: 0.000000 s
    UK003F: -0.000684 s

Reference point on the trajectory:
  Time: 2021-08-16 01:54:29.137354 UTC
  Lon     = +-3.511352 +/- 0.0053 deg
  Lat     = +53.271958 +/- 0.0065 deg
  Lat geo = +53.090199 +/- 0.0065 deg
  Ht      =  100606.55 +/- 418.39 m

  JD dynamic   = 2459442.580304645468 
  LST apparent = 349.7954030877 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  31.04348 +/- 0.5469 deg
  Dec       =  +6.52383 +/- 6.4124 deg
  Azimuth   = 129.01626 +/- 4.7477 deg
  Elevation = +32.53242 +/- 5.5247 deg
  Vavg      =  72.80130 +/- 2.1856 km/s
  Vinit     =  75.09296 +/- 2.2488 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  31.20656 +/- 0.5469 deg
  Dec       =  +6.50766 +/- 6.4124 deg
  Azimuth   = 128.85551 +/- 4.7477 deg
  Elevation = +32.44227 +/- 5.5247 deg
  Vavg      =  72.98707 +/- 2.1856 km/s
  Vinit     =  75.27873 +/- 2.2488 km/s
Radiant (geocentric, J2000):
  R.A.   =  30.92359 +/- 0.5457 deg
  Dec    =  +6.11495 +/- 6.4414 deg
  Vg     =  74.26741 +/- 2.2781 km/s
  Vinf   =  75.09296 +/- 2.2488 km/s
  Zc     =  57.35327 +/- 5.5119 deg
  Zg     =  57.69970 +/- 5.5345 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  30.93404 +/- 1.9721 deg
  Bg     =  -6.05624 +/- 6.1620 deg
  Vh     =  48.76290 +/- 2.2011 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  17.20154 +/- 2.2021 deg
  Bh     =  -9.24668 +/- 10.3350 deg
  Vh_x   = -45.97645 +/- 3.8278 km/s
  Vh_y   = -14.23345 +/- 0.3646 km/s
  Vh_z   =   7.83549 +/- 6.9673 km/s
Orbit:
  La Sun = 143.146616 +/- 0.0000 deg
  a      =  -1.417722 +/- 81.9629 AU
  e      =   1.512594 +/- 0.1590
  i      = 168.627345 +/- 10.0802 deg
  peri   =  57.947049 +/- 31.4930 deg
  node   = 323.164592 +/- 31.2165 deg
  Pi     =  21.111641 +/- 4.0587 deg
  q      =   0.726716 +/- 0.0381 AU
  f      = 302.069970 +/- 4.0750 deg
  M      =        nan +/- nan deg
  Q      =  -3.562159 +/- 163.9310 AU
  n      =   0.583872 +/- 0.1061 deg/day
  T      = 1000000000.000000 +/- 427919564.9781 years
  Last perihelion JD = NaN 
  Tj     =  -4.832266 +/- 1.1752
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.015043e-03, -2.056285e-03, -6.692668e+03, -6.484985e-06, +3.499241e-03, +8.653348e-03
q   , -2.056285e-03, +1.478914e-03, +2.056904e+03, +3.156683e-06, -2.879166e-03, -5.291880e-03
Tp  , -6.692668e+03, +2.056904e+03, +3.266556e+10, +1.464936e+01, -2.565269e+03, -1.296230e+04
node, -6.484985e-06, +3.156683e-06, +1.464936e+01, +1.143455e-08, -5.289513e-06, -1.427624e-05
peri, +3.499241e-03, -2.879166e-03, -2.565269e+03, -5.289513e-06, +5.831453e-03, +9.772338e-03
i   , +8.653348e-03, -5.291880e-03, -1.296230e+04, -1.427624e-05, +9.772338e-03, +2.120837e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.647176
 a2 = 29.188365

Mean time residuals from time vs. length:
  Station with reference time: UK0027
  Avg. res. = 1.427e-05 s
  Stddev    = 3.78e-03 s

Begin point on the trajectory:
  Lon =    -3.538736 +/- 0.0037 deg
  Lat =    53.285251 +/- 0.0046 deg
  Ht  = 99084.33 +/- 288.36 m
End point on the trajectory:
  Lon =    -3.655797 +/- 0.0049 deg
  Lat =    53.341586 +/- 0.0057 deg
  Ht  = 92642.65 +/- 332.80 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
    UK0027,   False,    -2.374601,    51.371449,   48.00,   0.000000,   0.000000,    99084.33,    92642.65,          0.027625,    120.79,     15.62,             101.74, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210816_015425_555_0515840.fits"}
    UK003F,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,    99027.32,    94378.09,          0.010427,     48.98,      4.32,             106.42, 1.0000,    True,    True, {"ff_name": "FF_UK003F_20210816_015426_881_0523264.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,     UK0027,       1,  0.000000, 2459442.579503437039, 206.58052,  57.70986,              340.24362,  22.91731,       340.32246,       22.87837,    206.58052,     +57.70986,     206.42668,      +57.70269,  3821236.93,  -687870.74,  5169377.19,      53.271994,       -3.511259,  100602.36,  248264.36,       0.00,                7.79,   153.11,      0.00,           74836.60,     45.62,    354.16,         296.67,  +4.63,  +2.66
  1,     UK0027,       0,  0.040388, 2459442.579503904562, 206.59569,  57.12247,              339.98453,  22.38074,       340.02062,       22.36291,    206.59569,     +57.12247,     206.52624,      +57.11920,  3818833.47,  -689317.37,  5169056.40,      53.285251,       -3.538736,   99084.33,  249503.90,    2823.52,             2831.31,   -56.22,  69909.76,           74836.60,     21.09,    163.42,         136.22,  +1.15,  -0.84
  2,     UK0027,       0,  0.080768, 2459442.579504372086, 206.64631,  56.52862,              339.70505,  21.84558,       339.71692,       21.83972,    206.64631,     +56.52862,     206.62393,      +56.52755,  3816371.72,  -690799.08,  5168727.82,      53.298828,       -3.566906,   97530.37,  250800.17,    5715.51,             5723.31,  -196.48,  71619.58,           74836.60,      7.00,     54.16,          44.91,  +1.48,  -0.52
  3,     UK0027,       0,  0.121196, 2459442.579504840076, 206.75081,  55.84131,              339.35768,  21.23618,       339.36739,       21.23139,    206.75081,     +55.84131,     206.73298,      +55.84045,  3813479.62,  -692539.82,  5168341.80,      53.314780,       -3.600012,   95705.92,  252356.45,    9113.08,             9120.88,   165.23,  84040.00,           74836.60,      5.78,     44.72,          36.85,  +1.44,  -0.57
  4,     UK0027,       0,  0.161544, 2459442.579505307134, 206.85392,  55.26911,              339.06011,  20.73257,       339.07790,       20.72381,    206.85392,     +55.26911,     206.82153,      +55.26756,  3811041.48,  -694007.32,  5168016.37,      53.328227,       -3.627980,   94168.81,  253697.12,   11977.34,            11985.13,    -0.36,  70988.80,           74881.69,     10.67,     82.57,          67.69,  +1.50,  -0.52
  5,     UK0027,       0,  0.201924, 2459442.579505774193, 206.83292,  54.70089,              338.83490,  20.20483,       338.79522,       20.22440,    206.83292,     +54.70089,     206.90615,      +54.70436,  3808619.31,  -695465.22,  5167693.08,      53.341586,       -3.655797,   92642.65,  255054.08,   14822.84,            14830.64,  -187.11,  70468.17,           74264.24,    -24.06,   -185.74,         151.46,  +2.56,  +0.53
  0,     UK003F,       0,  0.041047, 2459442.579503919464, 217.67190,  52.27010,              331.84836,  20.67178,       331.84484,       20.67305,    217.67190,     +52.27010,     217.67761,      +52.26963,  3818743.18,  -689371.72,  5169044.35,      53.285749,       -3.539768,   99027.32,  266549.10,       0.00,             2937.38,     0.36,      0.00,           72552.42,     -1.45,    -16.35,          12.70,  +0.51,  -1.62
  1,     UK003F,       0,  0.081547, 2459442.579504388385, 217.54187,  51.71193,              331.63734,  20.14372,       331.62684,       20.14751,    217.54187,     +51.71193,     217.55892,      +51.71054,  3816130.05,  -690944.55,  5168695.56,      53.300161,       -3.569663,   97377.87,  268145.35,    3069.84,             6007.22,    28.94,  75798.46,           72552.42,     -4.35,    -49.21,          38.00,  +0.77,  -1.37
  2,     UK003F,       0,  0.122091, 2459442.579504857305, 217.43919,  51.10070,              331.38682,  19.57610,       331.39118,       19.57453,    217.43919,     +51.10070,     217.43259,      +51.10128,  3813246.16,  -692680.34,  5168310.64,      53.316067,       -3.602678,   95558.70,  269936.19,    6457.75,             9395.14,   372.28,  83561.45,           72552.42,      1.82,     20.64,          15.84,  +0.83,  -1.33
  3,     UK003F,       0,  0.162439, 2459442.579505324364, 217.38038,  50.70723,              331.22305,  19.21232,       331.23995,       19.20624,    217.38038,     +50.70723,     217.35415,      +50.70944,  3811373.53,  -693807.47,  5168060.69,      53.326395,       -3.624198,   94378.09,  271117.35,    8657.67,            11595.05,  -457.65,  54523.52,           72552.42,      7.10,     80.50,          61.48,  +1.44,  -0.73

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.