Orbital Analysis for matched events on 20210929_002210.689_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 67.18° Bg -4.14° Vg 67.30km/s
mass 0.00550g, abs. mag 1.1
Path Details
------------
start -5.45° 50.84° 110.53km
end   -5.67° 50.88° 99.90km

Orbit Details
-------------
Semimajor axis -5.22A.U., eccentricity 1.09, inclination 170.55°, Period 1000000000.00Y, LA Sun 185.79°, 

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: 2459486.515401503071
Time: 2021-09-29 00:22:10.689865 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0020 and UK0024
 Convergence angle = 8.39376 deg
 R.A. =  66.19024  Dec = +17.85385 deg

Best intersection: Stations UK0020 and UK0024 with Qconv = 8.39 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4064711.25 +/- 159.65 m
 Y =    577368.10 +/- 236.56 m
 Z =   5008210.77 +/- 158.24 m
 Vx =    26299.33 +/- 1255.45 m/s
 Vy =    59387.49 +/- 1260.75 m/s
 Vz =    20830.35 +/- 1158.26 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):
    UK0020: 0.000000 s
    UK0024: 0.000023 s

Reference point on the trajectory:
  Time: 2021-09-29 00:22:10.689865 UTC
  Lon     = +-5.450485 +/- 0.0036 deg
  Lat     = +50.841942 +/- 0.0002 deg
  Lat geo = +50.656597 +/- 0.0002 deg
  Ht      =  110533.77 +/- 200.97 m

  JD dynamic   = 2459486.516202243976 
  LST apparent = 8.0844428434 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  66.11418 +/- 1.2504 deg
  Dec       = +17.78170 +/- 0.9278 deg
  Azimuth   = 103.77935 +/- 0.3928 deg
  Elevation = +33.72281 +/- 1.4659 deg
  Vavg      =  65.02594 +/- 0.5984 km/s
  Vinit     =  68.20874 +/- 0.3748 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  66.25347 +/- 1.2504 deg
  Dec       = +17.71673 +/- 0.9278 deg
  Azimuth   = 103.70770 +/- 0.3928 deg
  Elevation = +33.58767 +/- 1.4659 deg
  Vavg      =  65.26801 +/- 0.5984 km/s
  Vinit     =  68.45081 +/- 0.3748 km/s
Radiant (geocentric, J2000):
  R.A.   =  66.07916 +/- 1.2560 deg
  Dec    = +17.41973 +/- 0.9338 deg
  Vg     =  67.30032 +/- 0.3800 km/s
  Vinf   =  68.20874 +/- 0.3748 km/s
  Zc     =  56.23324 +/- 1.4670 deg
  Zg     =  56.64370 +/- 1.4767 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.17664 +/- 1.0126 deg
  Bg     =  -4.14281 +/- 1.1238 deg
  Vh     =  44.05524 +/- 0.2916 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  47.61614 +/- 1.5365 deg
  Bh     =  -6.33311 +/- 1.7290 deg
  Vh_x   = -29.51616 +/- 0.9955 km/s
  Vh_y   = -32.34261 +/- 0.7169 km/s
  Vh_z   =   4.85968 +/- 1.3198 km/s
Orbit:
  La Sun = 185.791267 +/- 0.0000 deg
  a      =  -5.221625 +/- 0.7777 AU
  e      =   1.090804 +/- 0.0118
  i      = 170.549439 +/- 2.5088 deg
  peri   =  90.558019 +/- 21.7973 deg
  node   =   5.798645 +/- 21.6593 deg
  Pi     =  96.356664 +/- 2.9879 deg
  q      =   0.474143 +/- 0.0279 AU
  f      = 269.448653 +/- 3.1598 deg
  M      =        nan +/- nan deg
  Q      = -10.917393 +/- 1.5615 AU
  n      =   0.082603 +/- 0.0191 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -1.857722 +/- 0.1487
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 = 2.325230
 a2 = 20.333606

Mean time residuals from time vs. length:
  Station with reference time: UK0020
  Avg. res. = 6.827e-06 s
  Stddev    = 2.61e-03 s

Begin point on the trajectory:
  Lon =    -5.450515 +/- 0.0035 deg
  Lat =    50.841947 +/- 0.0002 deg
  Ht  = 110532.25 +/- 201.33 m
End point on the trajectory:
  Lon =    -5.668469 +/- 0.0036 deg
  Lat =    50.875370 +/- 0.0002 deg
  Ht  = 99904.24 +/- 143.00 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
    UK0020,   False,    -3.515726,    50.691998,   17.00,   1.480039,  21.717214,   110532.25,   100248.91,          0.011219,     32.99,     12.64,             105.16, 1.0000,    True,    True, {"ff_name": "FF_UK0020_20210929_002204_506_0524800.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   3.674510,  18.879333,   110095.84,    99904.24,          0.008567,     30.82,      7.36,             110.30, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210929_002203_860_0530176.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,     UK0020,       0,  0.000000, 2459486.515401503071, 301.49130,  32.87104,              277.71914,  37.93119,       277.71639,       37.93094,    301.49130,     +32.87104,     301.49279,      +32.86926,  4064710.20,   577365.72,  5008209.94,      50.841947,       -5.450515,  110532.25,  177339.58,       0.00,                2.74,   119.76,      0.00,           67831.01,     -2.41,     -6.30,           7.84,  +2.49,  +1.25
  1,     UK0020,       0,  0.040648, 2459486.515401973389, 300.71118,  32.39103,              277.82032,  37.12150,       277.83215,       37.12257,    300.71118,     +32.39103,     300.70482,      +32.39876,  4063694.65,   575072.47,  5007405.57,      50.846554,       -5.480388,  109070.32,  178127.19,    2633.88,             2636.62,   -18.90,  64797.27,           67831.01,     10.55,     27.56,          34.17,  +3.24,  +1.99
  2,     UK0020,       0,  0.081308, 2459486.515402444173, 299.91829,  31.90228,              277.93066,  36.29583,       277.94781,       36.29739,    299.91829,     +31.90228,     299.90902,      +31.91355,  4062648.47,   572710.05,  5006576.95,      50.851295,       -5.511176,  107565.05,  178975.47,    5347.21,             5349.94,   -78.95,  66732.07,           67831.01,     15.54,     40.59,          50.08,  +1.81,  +0.55
  3,     UK0020,       0,  0.122032, 2459486.515402915422, 299.05131,  31.40028,              278.08975,  35.41263,       278.06945,       35.41079,    299.05131,     +31.40028,     299.06339,      +31.38687,  4061512.91,   570145.80,  5005677.53,      50.856435,       -5.544604,  105932.05,  179937.51,    8292.35,             8295.08,    88.46,  72319.55,           67831.01,    -18.72,    -48.83,          59.94,  +1.90,  +0.62
  4,     UK0020,       0,  0.162664, 2459486.515403385740, 298.31703,  30.89722,              278.16175,  34.60983,       278.17679,       34.61120,    298.31703,     +30.89722,     298.30903,      +30.90719,  4060478.42,   567809.79,  5004858.16,      50.861110,       -5.575092,  104445.19,  180852.33,   10975.34,            10978.08,    -0.00,  66031.50,           67884.14,     14.05,     36.69,          44.81,  +1.88,  +0.59
  5,     UK0020,       0,  0.203260, 2459486.515403855592, 297.61538,  30.47511,              278.28907,  33.88100,       278.27314,       33.87956,    297.61538,     +30.47511,     297.62555,      +30.46449,  4059522.76,   565651.76,  5004101.23,      50.865425,       -5.603288,  103072.29,  181729.53,   13453.91,            13456.65,  -290.43,  61054.62,           66925.58,    -15.11,    -39.42,          47.91,  +1.59,  +0.29
  6,     UK0020,       0,  0.243924, 2459486.515404326376, 296.84845,  29.96006,              278.38809,  33.04575,       278.38115,       33.04512,    296.84845,     +29.96006,     296.85358,      +29.95542,  4058420.91,   563163.65,  5003228.51,      50.870393,       -5.635791,  101490.19,  182776.23,   16311.60,            16314.34,  -206.38,  70275.72,           66941.88,     -6.69,    -17.45,          21.09,  +1.57,  +0.26
  7,     UK0020,       0,  0.284448, 2459486.515404795296, 296.25182,  29.56334,              278.47372,  32.39733,       278.46354,       32.39641,    296.25182,     +29.56334,     296.25910,      +29.55650,  4057556.03,   561210.63,  5002543.49,      50.874289,       -5.661357,  100248.91,  183627.11,   18554.72,            18557.46,  -727.35,  55352.83,           65986.34,     -9.92,    -25.89,          31.15,  +2.93,  +1.61
  0,     UK0024,       0,  0.014260, 2459486.515401667915, 301.44049,  23.31633,              269.74035,  30.88768,       269.74298,       30.88825,    301.44049,     +23.31633,     301.43920,      +23.31830,  4064407.09,   576681.26,  5007969.86,      50.843322,       -5.459438,  110095.84,  209464.80,       0.00,              788.87,   -66.74,      0.00,           69510.72,      1.97,     -8.27,           8.37,  +4.88,  +3.27
  1,     UK0024,       0,  0.054860, 2459486.515402137768, 300.76297,  22.94610,              269.97166,  30.19085,       269.94974,       30.18606,    300.76297,     +22.94610,     300.77462,      +22.92963,  4063301.67,   574185.06,  5007094.31,      50.848336,       -5.491946,  108504.80,  210571.58,    2866.97,             3655.84,    30.95,  70615.05,           69510.72,    -16.70,     69.87,          70.37,  +3.10,  +1.48
  2,     UK0024,       0,  0.095512, 2459486.515402608551, 300.05559,  22.50891,              270.17543,  29.42562,       270.17059,       29.42457,    300.05559,     +22.50891,     300.05854,      +22.50526,  4062089.73,   571448.35,  5006134.40,      50.853825,       -5.527596,  106761.45,  211822.26,    6010.19,             6799.05,   401.34,  77320.03,           69510.72,     -3.73,     15.64,          15.66,  +3.20,  +1.57
  3,     UK0024,       0,  0.135996, 2459486.515403077006, 299.53636,  22.18296,              270.32285,  28.85968,       270.33158,       28.86159,    299.53636,     +22.18296,     299.53229,      +22.18957,  4061185.37,   569406.18,  5005418.10,      50.857916,       -5.554259,  105461.20,  212783.78,    8355.70,             9144.57,   -14.50,  57936.85,           69510.72,      6.79,    -28.48,          28.38,  +3.17,  +1.53
  4,     UK0024,       0,  0.176504, 2459486.515403545927, 298.97144,  21.85241,              270.50358,  28.26106,       270.50151,       28.26061,    298.97144,     +21.85241,     298.97329,      +21.85084,  4060210.87,   567205.62,  5004646.25,      50.862319,       -5.582994,  104060.76,  213843.24,   10883.11,            11671.98,  -250.09,  62392.97,           67195.63,     -1.63,      6.83,           6.77,  +2.46,  +0.81
  5,     UK0024,       0,  0.217044, 2459486.515404014848, 298.38719,  21.48703,              270.67402,  27.62416,       270.67905,       27.62526,    298.38719,     +21.48703,     298.38538,      +21.49085,  4059170.11,   564855.44,  5003821.92,      50.867016,       -5.613691,  102565.84,  215001.31,   13582.39,            14371.25,  -316.00,  66582.91,           66445.60,      3.99,    -16.72,          16.50,  +2.37,  +0.71
  6,     UK0024,       0,  0.257572, 2459486.515404484235, 297.81614,  21.12846,              270.84129,  27.00005,       270.85110,       27.00219,    297.81614,     +21.12846,     297.81186,      +21.13595,  4058138.71,   562526.40,  5003005.00,      50.871665,       -5.644133,  101085.12,  216176.43,   16257.38,            17046.25,  -405.37,  66003.56,           66130.21,      7.88,    -33.03,          32.40,  +2.57,  +0.90
  7,     UK0024,       0,  0.297988, 2459486.515404951759, 297.35715,  20.85700,              270.98960,  26.51037,       270.98569,       26.50952,    297.35715,     +20.85700,     297.36054,      +20.85401,  4057315.82,   560668.19,  5002353.22,      50.875370,       -5.668469,   99904.24,  217135.33,   18391.61,            19180.47, -1027.87,  52806.50,           64892.39,     -3.17,     13.27,          12.96,  +3.97,  +2.29

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.