Orbital Analysis for matched events on 20210813_013343.382_UK

Summary for Event
-----------------
shower ID 26 NDA
Lg 351.32° Bg 10.72° Vg 35.43km/s
mass 0.01375g, abs. mag 0.8
Path Details
------------
start -2.01° 54.03° 93.40km
end   -2.02° 54.11° 85.25km

Orbit Details
-------------
Semimajor axis 1.33A.U., eccentricity 0.92, inclination 29.94°, Period 1.53Y, LA Sun 140.25°, last Perihelion 2020-03-10

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: 2459439.565085451119
Time: 2021-08-13 01:33:43.382977 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Y and UK002Z
 Convergence angle = 39.42035 deg
 R.A. = 348.87125  Dec =  +6.87574 deg

Best intersection: Stations UK000Y and UK002Z with Qconv = 39.42 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3645239.45 +/- 38.86 m
 Y =  -1104827.49 +/- 23.22 m
 Z =   5214621.30 +/- 68.33 m
 Vx =    35994.63 +/- 91.70 m/s
 Vy =    -7657.19 +/- 160.42 m/s
 Vz =     4957.62 +/- 285.65 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.614706e+03, +2.714914e+02, -1.644321e+03, +2.160115e+03, +2.431340e+03, -6.975478e+03
+2.714914e+02, +5.775199e+02, -3.936412e+02, +8.921539e+02, +2.902494e+03, -1.416251e+03
-1.644321e+03, -3.936412e+02, +4.910867e+03, -3.642962e+03, -4.433223e+01, +1.629934e+04
+2.160115e+03, +8.921539e+02, -3.642962e+03, +8.507053e+03, +1.046991e+04, -2.389609e+04
+2.431340e+03, +2.902494e+03, -4.433223e+01, +1.046991e+04, +2.991506e+04, -1.433629e+04
-6.975478e+03, -1.416251e+03, +1.629934e+04, -2.389609e+04, -1.433629e+04, +8.256617e+04

Timing offsets (from input data):
    UK000Y: 0.000000 s
    UK002Z: 0.000414 s

Reference point on the trajectory:
  Time: 2021-08-13 01:33:43.382977 UTC
  Lon     = +-2.006390 +/- 0.0004 deg
  Lat     = +54.034421 +/- 0.0005 deg
  Lat geo = +53.853946 +/- 0.0005 deg
  Ht      =   93387.52 +/- 46.73 m

  JD dynamic   = 2459439.565886192024 
  LST apparent = 343.1385856510 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 347.99041 +/- 0.2703 deg
  Dec       =  +7.67256 +/- 0.4362 deg
  Azimuth   = 173.36721 +/- 0.3514 deg
  Elevation = +43.47325 +/- 0.4415 deg
  Vavg      =  35.37318 +/- 0.0177 km/s
  Vinit     =  37.13252 +/- 0.0370 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 348.42103 +/- 0.2703 deg
  Dec       =  +7.66751 +/- 0.4362 deg
  Azimuth   = 172.78130 +/- 0.3514 deg
  Elevation = +43.43772 +/- 0.4415 deg
  Vavg      =  35.39749 +/- 0.0177 km/s
  Vinit     =  37.15684 +/- 0.0370 km/s
Radiant (geocentric, J2000):
  R.A.   = 347.79612 +/- 0.2746 deg
  Dec    =  +6.40766 +/- 0.4461 deg
  Vg     =  35.43129 +/- 0.0388 km/s
  Vinf   =  37.13252 +/- 0.0370 km/s
  Zc     =  46.34748 +/- 0.4415 deg
  Zg     =  47.49745 +/- 0.4515 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 351.31618 +/- 0.2568 deg
  Bg     = +10.71650 +/- 0.4578 deg
  Vh     =  32.89550 +/- 0.1247 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 299.46758 +/- 0.1902 deg
  Bh     = +11.55431 +/- 0.4913 deg
  Vh_x   = -15.85439 +/- 0.0831 km/s
  Vh_y   =  28.05956 +/- 0.1582 km/s
  Vh_z   =  -6.58886 +/- 0.2734 km/s
Orbit:
  La Sun = 140.250995 +/- 0.0000 deg
  a      =   1.326061 +/- 0.0162 AU
  e      =   0.920865 +/- 0.0020
  i      =  29.940310 +/- 1.0599 deg
  peri   = 330.439767 +/- 0.5190 deg
  node   = 140.258172 +/- 0.0003 deg
  Pi     = 110.697939 +/- 0.5191 deg
  q      =   0.104938 +/- 0.0030 AU
  f      = 209.553316 +/- 0.5191 deg
  M      = 335.845036 +/- 0.4584 deg
  Q      =   2.547184 +/- 0.0311 AU
  n      =   0.645445 +/- 0.0119 deg/day
  T      =   1.527024 +/- 0.0279 years
  Last perihelion JD = 2458919.234346 (2020-03-10 17:37:27.499551) +/- 10.2239 days
  Tj     =   4.265686 +/- 0.0444
Shower association:
  IAU No.  =   26
  IAU code =  NDA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.519548e-06, -6.273094e-06, +1.977186e-03, +9.687016e-09, +1.687455e-05, -3.546511e-05
q   , -6.273094e-06, +1.018085e-05, -1.541052e-02, -1.024719e-08, -2.977138e-05, +3.808001e-05
Tp  , +1.977186e-03, -1.541052e-02, +1.097622e+02, -2.329961e-05, +6.195654e-02, +8.031420e-02
node, +9.687016e-09, -1.024719e-08, -2.329961e-05, +2.815834e-11, +2.240676e-08, -1.014209e-07
peri, +1.687455e-05, -2.977138e-05, +6.195654e-02, +2.240676e-08, +9.036408e-05, -8.444554e-05
i   , -3.546511e-05, +3.808001e-05, +8.031420e-02, -1.014209e-07, -8.444554e-05, +3.662851e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.505995
 a2 = 15.934851

Mean time residuals from time vs. length:
  Station with reference time: UK000Y
  Avg. res. = 7.185e-06 s
  Stddev    = 2.68e-03 s

Begin point on the trajectory:
  Lon =    -2.006363 +/- 0.0004 deg
  Lat =    54.034281 +/- 0.0005 deg
  Ht  = 93402.62 +/- 46.75 m
End point on the trajectory:
  Lon =    -2.022767 +/- 0.0006 deg
  Lat =    54.110020 +/- 0.0003 deg
  Ht  = 85253.55 +/- 40.20 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
    UK000Y,   False,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,    93402.62,    85427.04,          0.015913,     25.66,     30.95,              96.71, 1.0000,    True,    True, {"ff_name": "FF_UK000Y_20210813_013338_208_0471296.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   2.105182,  15.486159,    91055.96,    85253.55,          0.018529,     13.49,     47.40,              84.91, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_013342_698_0476672.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,     UK000Y,       0,  0.000000, 2459439.565085451119, 192.43720,  75.39165,              350.82363,  39.86807,       350.79026,       39.86716,    192.43720,     +75.39165,     192.52973,      +75.38107,  3645260.73, -1104832.02,  5214624.23,      54.034281,       -2.006363,   93402.62,  143883.82,       0.00,               21.95,   400.19,      0.00,           33189.83,     49.51,     41.13,          92.27,  +3.83,  +3.04
  1,     UK000Y,       0,  0.040444, 2459439.565085919108, 191.71732,  74.91514,              350.81418,  39.35716,       350.80798,       39.35699,    191.71732,     +74.91514,     191.73438,      +74.91321,  3644012.01, -1104566.38,  5214452.24,      54.042504,       -2.008156,   92516.37,  144017.61,    1288.20,             1266.25,   142.71,  31851.37,           33189.83,      9.28,      7.70,          17.28,  +2.41,  +1.62
  2,     UK000Y,       0,  0.080908, 2459439.565086387563, 190.99637,  74.41164,              350.80771,  38.81879,       350.82669,       38.81931,    190.99637,     +74.41164,     190.94600,      +74.41740,  3642693.30, -1104285.85,  5214270.61,      54.051191,       -2.010042,   91580.57,  144171.19,    2648.59,             2626.65,     0.58,  33619.93,           33189.83,    -28.65,    -23.76,          53.26,  +2.03,  +1.24
  3,     UK000Y,       0,  0.121372, 2459439.565086856019, 190.15310,  73.92032,              350.86280,  38.27799,       350.84532,       38.27751,    190.15310,     +73.92032,     190.19952,      +73.91513,  3641361.49, -1104002.53,  5214087.18,      54.059966,       -2.011947,   90635.62,  144339.14,    4022.51,             4000.56,  -128.04,  33953.97,           33189.83,     26.62,     22.10,          49.44,  +1.08,  +0.28
  4,     UK000Y,       0,  0.161956, 2459439.565087325405, 189.35202,  73.28553,              350.86046,  37.60414,       350.86944,       37.60439,    189.35202,     +73.28553,     189.32964,      +73.28813,  3639702.10, -1103649.52,  5213858.62,      54.070904,       -2.014280,   89458.45,  144566.07,    5734.35,             5712.40,    76.81,  42180.22,           35084.26,    -13.83,    -11.47,          25.63,  +0.88,  +0.08
  5,     UK000Y,       0,  0.202440, 2459439.565087794326, 188.67050,  72.76271,              350.88226,  37.04501,       350.88824,       37.04518,    188.67050,     +72.76271,     188.65625,      +72.76440,  3638319.58, -1103355.42,  5213668.21,      54.080019,       -2.016254,   88477.85,  144770.57,    7160.57,             7138.63,    -0.23,  35229.33,           35645.24,     -9.30,     -7.71,          17.21,  +1.13,  +0.33
  6,     UK000Y,       0,  0.242964, 2459439.565088263247, 187.94918,  72.19499,              350.91567,  36.43778,       350.90885,       36.43759,    187.94918,     +72.19499,     187.96705,      +72.19311,  3636812.79, -1103034.88,  5213460.67,      54.089957,       -2.018391,   87409.28,  145008.98,    8715.00,             8693.06,    49.44,  38358.28,           36136.44,     10.69,      8.86,          19.75,  +1.87,  +1.06
  7,     UK000Y,       0,  0.283336, 2459439.565088730305, 187.49102,  71.79006,              350.92883,  36.00893,       350.92165,       36.00873,    187.49102,     +71.79006,     187.50974,      +71.78811,  3635746.46, -1102808.04,  5213313.81,      54.096992,       -2.019953,   86653.16,  145187.93,    9815.03,             9793.09,  -349.65,  27247.36,           35602.63,     11.34,      9.41,          20.94,  +2.07,  +1.26
  8,     UK000Y,       0,  0.323940, 2459439.565089200623, 186.89647,  71.12171,              350.90556,  35.31461,       350.94532,       35.31572,    186.89647,     +71.12171,     186.80292,      +71.13228,  3634016.96, -1102440.12,  5213075.60,      54.108405,       -2.022385,   85427.04,  145494.55,   11599.21,            11577.27,   -73.20,  43940.96,           35910.83,    -63.49,    -52.59,         116.87,  +3.12,  +2.31
  0,     UK002Z,       0,  0.097815, 2459439.565086575225, 257.59417,  44.86158,              298.91478,  36.02422,       298.92019,       36.02753,    257.59417,     +44.86158,     257.59381,      +44.86704,  3641953.93, -1104128.56,  5214168.77,      54.056062,       -2.011073,   91055.96,  152758.84,       0.00,             3389.39,   135.51,      0.00,           36169.50,    -14.07,      4.00,          19.75,  +3.65,  +2.73
  1,     UK002Z,       0,  0.138047, 2459439.565087040886, 256.91835,  44.82150,              299.28105,  35.64598,       299.27378,       35.64155,    256.91835,     +44.82150,     256.92005,      +44.81416,  3640708.87, -1103863.69,  5213997.29,      54.064267,       -2.012864,   90172.62,  152657.34,    1284.42,             4673.81,   -73.99,  31925.39,           36169.50,     18.91,     -5.38,          26.57,  +2.14,  +1.22
  2,     UK002Z,       0,  0.178323, 2459439.565087507013, 256.12216,  44.76537,              299.70551,  35.19570,       299.68747,       35.18476,    256.12216,     +44.76537,     256.12595,      +44.74714,  3639240.33, -1103551.29,  5213795.02,      54.073948,       -2.014948,   89130.90,  152550.04,    2799.39,             6188.78,   -54.57,  37614.57,           36169.50,     47.02,    -13.38,          66.10,  +1.59,  +0.67
  3,     UK002Z,       0,  0.218607, 2459439.565087973140, 255.30895,  44.69752,              300.13095,  34.73009,       300.10658,       34.71535,    255.30895,     +44.69752,     255.31433,      +44.67285,  3637737.69, -1103231.63,  5213588.06,      54.083856,       -2.017078,   88065.17,  152455.57,    4349.52,             7738.91,    -0.28,  38480.22,           36169.50,     63.66,    -18.11,          89.55,  +2.01,  +1.09
  4,     UK002Z,       0,  0.258879, 2459439.565088439267, 254.61371,  44.60181,              300.46296,  34.30705,       300.46473,       34.30812,    254.61371,     +44.60181,     254.61444,      +44.60360,  3636440.09, -1102955.59,  5213409.34,      54.092416,       -2.018942,   87144.99,  152387.71,    5688.15,             9077.54,  -157.06,  33239.62,           35862.71,     -4.63,      1.32,           6.51,  +3.98,  +3.07
  5,     UK002Z,       0,  0.299123, 2459439.565088904928, 253.86371,  44.55679,              300.87321,  33.89233,       300.84227,       33.87370,    253.86371,     +44.55679,     253.87142,      +44.52540,  3635060.18, -1102662.04,  5213219.28,      54.101520,       -2.020914,   86166.59,  152327.92,    7111.68,            10501.07,  -227.88,  35372.56,           35705.10,     81.12,    -23.08,         114.21,  +5.51,  +4.60
  6,     UK002Z,       0,  0.339383, 2459439.565089371055, 253.17387,  44.46640,              301.20954,  33.47779,       301.19126,       33.46681,    253.17387,     +44.46640,     253.17933,      +44.44783,  3633772.26, -1102388.06,  5213041.89,      54.110020,       -2.022767,   85253.55,  152284.64,    8440.31,            11829.70,  -394.21,  33001.20,           35359.15,     48.04,    -13.67,          67.65,  +4.63,  +3.72

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.