Orbital Analysis for matched events on 20211103_001743.556_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 95.62° Bg 17.82° Vg 62.68km/s
mass 0.01981g, abs. mag -0.5
best visual mag 1.1
Path Details
------------
start 3.19° 51.37° 107.89km
end   3.09° 51.36° 97.55km

Orbit Details
-------------
Semimajor axis -6.72A.U., eccentricity 1.06, inclination 134.62°, Period nanY, LA Sun 220.50°, 

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: 2459521.512309677899
Time: 2021-11-03 00:17:43.556170 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0004 and UK003W
 Convergence angle = 35.39675 deg
 R.A. =  96.83315  Dec = +41.35162 deg

Best intersection: Stations UK0004 and UK003W with Qconv = 35.40 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2602538.58 +/- 209.10 m
 Y =   3113112.87 +/- 348.78 m
 Z =   5043382.04 +/- 155.27 m
 Vx =    -6001.21 +/- 1040.52 m/s
 Vy =    47484.75 +/- 2054.74 m/s
 Vz =    41968.67 +/- 2024.85 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.984123e+04, -4.828388e+04, -2.134070e+04, +1.212816e+05, -1.717934e+05, -7.241486e+04
-4.828388e+04, +8.333117e+04, +3.690356e+04, -1.831942e+05, +2.794503e+05, +1.001977e+05
-2.134070e+04, +3.690356e+04, +1.676486e+04, -8.333391e+04, +1.229475e+05, +4.748101e+04
+1.212816e+05, -1.831942e+05, -8.333391e+04, +6.086625e+05, -7.900960e+05, -3.813333e+05
-1.717934e+05, +2.794503e+05, +1.229475e+05, -7.900960e+05, +1.148603e+06, +4.337678e+05
-7.241486e+04, +1.001977e+05, +4.748101e+04, -3.813333e+05, +4.337678e+05, +2.772579e+05

Timing offsets (from input data):
    UK0004: 0.000501 s
    UK003W: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 00:17:43.556170 UTC
  Lon     = ++3.188386 +/- 0.0054 deg
  Lat     = +51.366171 +/- 0.0002 deg
  Lat geo = +51.181472 +/- 0.0002 deg
  Ht      =  107875.56 +/- 206.29 m

  JD dynamic   = 2459521.513110418804 
  LST apparent = 50.1046343597 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  97.20296 +/- 1.4511 deg
  Dec       = +41.24622 +/- 0.8717 deg
  Azimuth   =  88.77248 +/- 0.6526 deg
  Elevation = +56.57134 +/- 1.3320 deg
  Vavg      =  61.28544 +/- 1.9500 km/s
  Vinit     =  63.65677 +/- 1.9932 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  97.44300 +/- 1.4511 deg
  Dec       = +41.11768 +/- 0.8717 deg
  Azimuth   =  88.78275 +/- 0.6526 deg
  Elevation = +56.34969 +/- 1.3320 deg
  Vavg      =  61.44889 +/- 1.9500 km/s
  Vinit     =  63.82022 +/- 1.9932 km/s
Radiant (geocentric, J2000):
  R.A.   =  97.11159 +/- 1.4392 deg
  Dec    = +41.11456 +/- 0.8714 deg
  Vg     =  62.68199 +/- 2.0280 km/s
  Vinf   =  63.65677 +/- 1.9932 km/s
  Zc     =  33.43307 +/- 1.3310 deg
  Zg     =  33.69860 +/- 1.3249 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  95.62229 +/- 1.1495 deg
  Bg     = +17.81555 +/- 0.8379 deg
  Vh     =  43.82236 +/- 1.1483 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  69.20748 +/- 3.1807 deg
  Bh     = +25.95271 +/- 1.0624 deg
  Vh_x   = -13.98751 +/- 1.2560 km/s
  Vh_y   = -36.83687 +/- 2.1051 km/s
  Vh_z   = -19.17794 +/- 0.3038 km/s
Orbit:
  La Sun = 220.498621 +/- 0.0000 deg
  a      =  -6.715119 +/- 32.1323 AU
  e      =   1.058288 +/- 0.0359
  i      = 134.622272 +/- 4.6790 deg
  peri   = 280.233494 +/- 5.4063 deg
  node   = 220.500134 +/- 0.0001 deg
  Pi     = 140.733628 +/- 5.4062 deg
  q      =   0.391409 +/- 0.0323 AU
  f      = 259.767570 +/- 5.4063 deg
  M      =        nan +/- nan deg
  Q      = -13.821647 +/- 64.2749 AU
  n      =   0.056640 +/- 0.0296 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -1.327748 +/- 0.6346
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.429322e-04, +2.927055e-04, -2.697309e+02, +8.042052e-07, -4.839390e-02, +4.137143e-02
q   , +2.927055e-04, +3.938346e-04, -3.160727e+02, +9.187787e-07, -6.353367e-02, +4.710215e-02
Tp  , -2.697309e+02, -3.160727e+02, +4.385354e+08, -7.888427e-01, +5.205259e+04, -3.964894e+04
node, +8.042052e-07, +9.187787e-07, -7.888427e-01, +2.876081e-09, -1.544816e-04, +1.495492e-04
peri, -4.839390e-02, -6.353367e-02, +5.205259e+04, -1.544816e-04, +1.030709e+01, -7.932609e+00
i   , +4.137143e-02, +4.710215e-02, -3.964894e+04, +1.495492e-04, -7.932609e+00, +7.790349e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 105.536824

Mean time residuals from time vs. length:
  Station with reference time: UK003W
  Avg. res. = 3.653e-07 s
  Stddev    = 6.04e-04 s

Begin point on the trajectory:
  Lon =     3.188507 +/- 0.0054 deg
  Lat =    51.366173 +/- 0.0002 deg
  Ht  = 107888.46 +/- 200.78 m
End point on the trajectory:
  Lon =     3.091115 +/- 0.0027 deg
  Lat =    51.364838 +/- 0.0003 deg
  Ht  = 97547.37 +/- 93.96 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
    UK0004,   False,     0.265784,    50.757315,   55.00,   0.000000,   0.000000,   106178.22,    97956.57,          0.025850,     96.73,     46.63,              33.25, 1.0000,    True,    True, {"ff_name": "FF_UK0004_20211103_001735_125_0647424.fits"}
    UK003W,   False,     0.164950,    51.426540,   67.00,   0.000000,   0.000000,   107888.46,    97547.37,          0.005597,     22.13,      3.88,              31.07, 1.0000,    True,    True, {"ff_name": "FF_UK003W_20211103_001742_984_0648448.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,     UK0004,       0,  0.029021, 2459521.512310011778, 134.87724,  31.39576,               70.44384,  25.16174,        70.49125,       25.14870,    134.87724,     +31.39576,     134.85205,      +31.35646,  2602730.32,  3111595.69,  5042041.10,      51.365958,       +3.172444,  106178.22,  241089.93,       0.00,             2033.90,   284.26,      0.00,           61707.64,     82.09,    169.95,         161.48,  +2.46,  +0.55
  1,     UK0004,       0,  0.069265, 2459521.512310477905, 135.14624,  31.22166,               70.39616,  24.87667,        70.39890,       24.87592,    135.14624,     +31.22166,     135.14505,      +31.21938,  2602945.10,  3109896.23,  5040539.06,      51.365716,       +3.154543,  104277.18,  239142.97,    2278.25,             4312.14,     0.70,  56610.84,           61707.64,      4.71,      9.78,           9.36,  +2.17,  +0.28
  2,     UK0004,       0,  0.109517, 2459521.512310943566, 135.46724,  31.07208,               70.29364,  24.57804,        70.29823,       24.57678,    135.46724,     +31.07208,     135.46521,      +31.06827,  2603176.56,  3108064.81,  5038920.39,      51.365453,       +3.135254,  102228.78,  237052.38,    4733.40,             6767.29,  -106.46,  60994.53,           61707.64,      7.82,     16.25,          15.69,  +1.97,  +0.10
  3,     UK0004,       0,  0.149801, 2459521.512311409693, 135.83558,  30.91073,               70.16719,  24.24267,        70.18490,       24.23781,    135.83558,     +30.91073,     135.82657,      +30.89603,  2603433.85,  3106029.01,  5037121.08,      51.365156,       +3.113818,   99952.11,  234738.05,    7462.54,             9496.44,    58.33,  67747.55,           61707.64,     30.00,     62.25,          60.72,  +1.54,  -0.31
  4,     UK0004,       0,  0.190073, 2459521.512311875820, 136.12901,  30.71380,               70.11756,  23.92605,        70.08410,       23.93519,    136.12901,     +30.71380,     136.14814,      +30.74156,  2603659.40,  3104244.36,  5035543.74,      51.364893,       +3.094993,   97956.57,  232715.50,    9855.00,            11888.90,  -112.80,  59407.48,           61827.97,    -56.12,   -116.88,         114.92,  +1.43,  -0.40
  0,     UK003W,       0,  0.000000, 2459521.512309677899, 119.71703,  19.64012,               90.64889,  25.97851,        90.64615,       25.97830,    119.71703,     +19.64012,     119.71913,      +19.64160,  2602537.12,  3113124.41,  5043392.24,      51.366173,       +3.188507,  107888.46,  238099.56,       0.00,               15.46,   113.18,      0.00,           62403.62,      1.77,    -10.11,           8.89,  +2.86,  +0.98
  1,     UK003W,       0,  0.040408, 2459521.512310145423, 119.91943,  19.39035,               90.67349,  25.66499,        90.67584,       25.66517,    119.91943,     +19.39035,     119.91779,      +19.38908,  2602790.71,  3111117.87,  5041618.79,      51.365890,       +3.167411,  105643.69,  235736.81,    2689.92,             2674.45,   199.92,  66568.92,           62403.62,     -1.51,      8.62,           7.66,  +1.76,  -0.10
  2,     UK003W,       0,  0.080760, 2459521.512310612481, 120.09101,  19.17083,               90.69942,  25.39320,        90.70153,       25.39336,    120.09101,     +19.17083,     120.08972,      +19.16970,  2603006.94,  3109406.89,  5040106.56,      51.365646,       +3.149387,  103729.83,  233726.25,    4983.61,             4968.14,   -75.06,  56842.08,           62403.62,     -1.35,      7.69,           6.89,  +1.48,  -0.36
  3,     UK003W,       0,  0.121168, 2459521.512311080471, 120.28340,  18.90538,               90.74185,  25.07372,        90.73161,       25.07294,    120.28340,     +18.90538,     120.29182,      +18.91090,  2603257.00,  3107428.29,  5038357.81,      51.365361,       +3.128557,  101516.92,  231409.58,    7636.06,             7620.59,     5.14,  65641.72,           62403.62,      6.51,    -37.02,          33.50,  +1.38,  -0.44
  4,     UK003W,       0,  0.161580, 2459521.512311547995, 120.48761,  18.65350,               90.76430,  24.75685,        90.76116,       24.75661,    120.48761,     +18.65350,     120.49072,      +18.65520,  2603499.09,  3105512.80,  5036664.84,      51.365080,       +3.108373,   99374.88,  229173.56,   10203.91,            10188.45,     0.50,  63541.81,           62770.08,      1.98,    -11.29,          10.32,  +1.10,  -0.70
  5,     UK003W,       0,  0.201940, 2459521.512312015053, 120.66960,  18.43827,               90.77701,  24.48124,        90.78673,       24.48197,    120.66960,     +18.43827,     120.66291,      +18.43301,  2603705.65,  3103878.38,  5035220.28,      51.364838,       +3.091115,   97547.37,  227269.73,   12394.97,            12379.51,  -377.63,  54287.91,           61663.98,     -6.08,     34.69,          31.97,  +1.90,  +0.12

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.