Orbital Analysis for matched events on 20211103_040916.872_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 111.01° Bg 47.88° Vg 50.52km/s
mass 0.01322g, abs. mag 0.4
best visual mag 1.1
Path Details
------------
start 1.45° 52.24° 108.33km
end   1.43° 52.22° 98.75km

Orbit Details
-------------
Semimajor axis 3.68A.U., eccentricity 0.76, inclination 92.87°, Period 7.07Y, LA Sun 220.66°, last Perihelion 2014-11-06

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: 2459521.673111950979
Time: 2021-11-03 04:09:16.872565 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0034 and UK003W
 Convergence angle = 61.10935 deg
 R.A. = 131.48619  Dec = +68.08407 deg

Best intersection: Stations UK0034 and UK003W with Qconv = 61.11 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -1124891.76 +/- 5.38 m
 Y =   3817728.95 +/- 6.89 m
 Z =   5105070.81 +/- 20.03 m
 Vx =   -12575.22 +/- 18.27 m/s
 Vy =    14594.60 +/- 89.13 m/s
 Vz =    48000.34 +/- 82.31 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.164790e+01, -1.713904e+01, -8.693431e+01, +9.094494e+01, -4.799173e+01, -1.957455e+00
-1.713904e+01, +4.526372e+01, -4.282272e+00, -4.131157e+01, +3.019117e+02, -3.797580e+02
-8.693431e+01, -4.282272e+00, +4.229875e+02, -5.442207e+01, -5.376070e+02, +9.050069e+02
+9.094494e+01, -4.131157e+01, -5.442207e+01, +9.783227e+02, -6.732860e+02, +3.371112e+02
-4.799173e+01, +3.019117e+02, -5.376070e+02, -6.732860e+02, +3.206824e+03, -4.171543e+03
-1.957455e+00, -3.797580e+02, +9.050069e+02, +3.371112e+02, -4.171543e+03, +6.161621e+03

Timing offsets (from input data):
    UK0034: 0.000135 s
    UK003W: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 04:09:16.872565 UTC
  Lon     = ++1.454023 +/- 0.0001 deg
  Lat     = +52.242725 +/- 0.0001 deg
  Lat geo = +52.059384 +/- 0.0001 deg
  Ht      =  108332.93 +/- 16.79 m

  JD dynamic   = 2459521.673912691884 
  LST apparent = 106.4175806970 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 130.74935 +/- 0.1089 deg
  Dec       = +68.13192 +/- 0.0844 deg
  Azimuth   =  27.09708 +/- 0.1397 deg
  Elevation = +70.31089 +/- 0.0806 deg
  Vavg      =  50.44497 +/- 0.0182 km/s
  Vinit     =  51.72205 +/- 0.0583 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 131.53094 +/- 0.1089 deg
  Dec       = +68.00725 +/- 0.0844 deg
  Azimuth   =  27.94013 +/- 0.1397 deg
  Elevation = +70.17114 +/- 0.0806 deg
  Vavg      =  50.49030 +/- 0.0182 km/s
  Vinit     =  51.76739 +/- 0.0583 km/s
Radiant (geocentric, J2000):
  R.A.   = 130.71492 +/- 0.1110 deg
  Dec    = +68.36831 +/- 0.0850 deg
  Vg     =  50.51752 +/- 0.0597 km/s
  Vinf   =  51.72205 +/- 0.0583 km/s
  Zc     =  19.85250 +/- 0.0807 deg
  Zg     =  20.08876 +/- 0.0812 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 111.00990 +/- 0.0394 deg
  Bg     = +47.87975 +/- 0.0904 deg
  Vh     =  39.33858 +/- 0.0871 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  49.67618 +/- 0.1672 deg
  Bh     = +72.27402 +/- 0.0594 deg
  Vh_x   =  -7.75054 +/- 0.0296 km/s
  Vh_y   =  -9.13143 +/- 0.0252 km/s
  Vh_z   = -37.47093 +/- 0.0947 km/s
Orbit:
  La Sun = 220.659690 +/- -0.0000 deg
  a      =   3.683053 +/- 0.1159 AU
  e      =   0.758929 +/- 0.0066
  i      =  92.867145 +/- 0.0562 deg
  peri   = 220.840972 +/- 0.3325 deg
  node   = 220.661633 +/- 0.0000 deg
  Pi     =  81.502605 +/- 0.3325 deg
  q      =   0.887879 +/- 0.0011 AU
  f      = 319.159881 +/- 0.3325 deg
  M      = 356.067977 +/- 0.1949 deg
  Q      =   6.478227 +/- 0.2307 AU
  n      =   0.139442 +/- 0.0058 deg/day
  T      =   7.068261 +/- 0.3422 years
  Last perihelion JD = 2456968.144908 (2014-11-06 15:28:40.070171) +/- 125.2546 days
  Tj     =   1.358229 +/- 0.0398
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +4.288222e-05, +7.026209e-06, -8.071658e-01, -3.319411e-09, -2.104521e-03, -2.225773e-04
q   , +7.026209e-06, +1.238152e-06, -1.337382e-01, -3.966857e-10, -3.623917e-04, -2.660735e-05
Tp  , -8.071658e-01, -1.337382e-01, +1.524198e+04, +6.199187e-05, +3.990904e+01, +4.156481e+00
node, -3.319411e-09, -3.966857e-10, +6.199187e-05, +7.129067e-13, +1.328038e-07, +4.775241e-08
peri, -2.104521e-03, -3.623917e-04, +3.990904e+01, +1.328038e-07, +1.068349e-01, +8.906678e-03
i   , -2.225773e-04, -2.660735e-05, +4.156481e+00, +4.775241e-08, +8.906678e-03, +3.198649e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.113331
 a2 = 36.589378

Mean time residuals from time vs. length:
  Station with reference time: UK003W
  Avg. res. = 6.924e-07 s
  Stddev    = 8.32e-04 s

Begin point on the trajectory:
  Lon =     1.454020 +/- 0.0001 deg
  Lat =    52.242722 +/- 0.0001 deg
  Ht  = 108331.76 +/- 7.00 m
End point on the trajectory:
  Lon =     1.430673 +/- 0.0001 deg
  Lat =    52.215709 +/- 0.0001 deg
  Ht  = 98751.52 +/- 5.34 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
    UK0034,   False,     1.010397,    52.949859,   25.00,   0.000000,   0.000000,   107106.43,    99364.49,          0.001844,      3.98,      1.68,              52.80, 1.0000,    True,    True, {"ff_name": "FF_UK0034_20211103_040910_928_1003776.fits"}
    UK003W,   False,     0.164950,    51.426540,   67.00,   0.000000,   0.000000,   108331.76,    98751.52,          0.004675,      2.39,     12.85,              30.60, 1.0000,    True,    True, {"ff_name": "FF_UK003W_20211103_040909_061_0995328.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,     UK0034,       0,  0.026920, 2459521.673112262506, 119.39175,  15.52122,              159.14115,  51.10193,       159.13815,       51.10132,    119.39175,     +15.52122,     119.39391,      +15.52103, -1124575.04,  3817361.37,  5103861.88,      52.239271,       +1.451032,  107106.43,  136859.39,       0.00,             1302.67,    28.69,      0.00,           51943.59,      1.84,     -4.37,           7.14,  +1.79,  +1.11
  1,     UK0034,       0,  0.067460, 2459521.673112731893, 119.32558,  14.87164,              159.46643,  50.48246,       159.46453,       50.48207,    119.32558,     +14.87164,     119.32717,      +14.87152, -1124105.24,  3816816.13,  5102068.63,      52.234146,       +1.446592,  105287.17,  135705.88,    1932.29,             3234.96,  -135.84,  47663.77,           51943.59,      1.17,     -2.78,           4.58,  +1.19,  +0.53
  2,     UK0034,       0,  0.108100, 2459521.673113202211, 119.25028,  14.10578,              159.83589,  49.75052,       159.83728,       49.75080,    119.25028,     +14.10578,     119.24977,      +14.10586, -1123561.46,  3816185.03,  5099993.00,      52.228211,       +1.441478,  103181.50,  134393.50,    4168.85,             5471.52,    -1.26,  55033.52,           51943.59,     -0.86,      2.03,           3.38,  +1.06,  +0.42
  3,     UK0034,       0,  0.148720, 2459521.673113672063, 119.17145,  13.36802,              160.19122,  49.04576,       160.18651,       49.04480,    119.17145,     +13.36802,     119.17538,      +13.36773, -1123047.02,  3815587.98,  5098029.33,      52.222591,       +1.436628,  101189.48,  133174.50,    6284.77,             7587.44,    13.71,  52090.60,           51943.59,      2.93,     -6.92,          11.64,  +1.31,  +0.69
  4,     UK0034,       0,  0.189296, 2459521.673114141915, 119.10492,  12.67964,              160.50431,  48.38592,       160.50386,       48.38583,    119.10492,     +12.67964,     119.10603,      +12.67961, -1122575.70,  3815040.97,  5096230.28,      52.217440,       +1.432169,   99364.49,  132077.39,    8223.32,             9525.99,  -146.41,  47775.70,           51228.26,      0.28,     -0.67,           1.13,  +2.23,  +1.63
  0,     UK003W,       0,  0.000000, 2459521.673111950979, 199.03611,  57.65439,               43.86932,  39.62551,        43.86997,       39.62561,    199.03611,     +57.65439,     199.03541,      +57.65405, -1124891.46,  3817728.60,  5105069.66,      52.242722,       +1.454020,  108331.76,  167738.61,       0.00,                1.24,   119.63,      0.00,           50113.40,      1.47,     -0.27,           1.84,  +3.90,  +2.78
  1,     UK003W,       0,  0.040468, 2459521.673112419434, 199.47714,  57.39930,               43.95367,  39.28360,        43.95693,       39.28412,    199.47714,     +57.39930,     199.47375,      +57.39757, -1124411.13,  3817171.14,  5103236.22,      52.237484,       +1.449486,  106471.69,  166040.78,    1975.59,             1976.84,     2.14,  48818.69,           50113.40,      7.34,     -1.37,           9.28,  +1.84,  +0.74
  2,     UK003W,       0,  0.080948, 2459521.673112887889, 199.92220,  57.13401,               44.04183,  38.93202,        44.04556,       38.93261,    199.92220,     +57.13401,     199.91845,      +57.13205, -1123926.86,  3816609.11,  5101387.74,      52.232200,       +1.444914,  104596.43,  164335.41,    3967.39,             3968.63,   -99.78,  49204.47,           50113.40,      8.35,     -1.55,          10.66,  +1.40,  +0.32
  3,     UK003W,       0,  0.121476, 2459521.673113356810, 200.40094,  56.84146,               44.13823,  38.54736,        44.14178,       38.54792,    200.40094,     +56.84146,     200.39756,      +56.83960, -1123408.41,  3816007.40,  5099408.78,      52.226539,       +1.440030,  102588.84,  162517.35,    6099.80,             6101.04,   -63.56,  52615.62,           50113.40,      7.89,     -1.47,          10.18,  +1.56,  +0.51
  4,     UK003W,       0,  0.162024, 2459521.673113826197, 200.88135,  56.53212,               44.24471,  38.14945,        44.24054,       38.14879,    200.88135,     +56.53212,     200.88663,      +56.53431, -1122882.60,  3815397.16,  5097401.75,      52.220795,       +1.435076,  100552.85,  160681.54,    8262.44,             8263.68,     1.85,  53335.30,           50978.80,     -9.23,      1.72,          12.05,  +1.64,  +0.61
  5,     UK003W,       0,  0.202520, 2459521.673114295118, 201.30778,  56.25075,               44.34063,  37.79006,        44.32846,       37.78814,    201.30778,     +56.25075,     201.32207,      +56.25710, -1122417.39,  3814857.24,  5095626.00,      52.215709,       +1.430673,   98751.52,  159063.42,   10175.87,            10177.11,  -179.25,  47249.93,           50693.21,    -26.77,      4.98,          35.31,  +4.74,  +3.73

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.