Orbital Analysis for matched events on 20210810_214815.084_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 14.29° Bg 33.24° Vg 47.65km/s
mass 0.00608g, abs. mag 1.1
Path Details
------------
start -0.40° 50.39° 106.71km
end   -0.55° 50.37° 98.02km

Orbit Details
-------------
Semimajor axis 1.62A.U., eccentricity 0.71, inclination 98.05°, Period 2.06Y, LA Sun 138.18°, last Perihelion 2019-09-06

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: 2459437.408507918939
Time: 2021-08-10 21:48:15.084196 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK002D
 Convergence angle = 6.40325 deg
 R.A. = 357.56141  Dec = +36.30093 deg

Best intersection: Stations UK0001 and UK002D with Qconv = 6.40 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1159456.09 +/- 329.18 m
 Y =  -3976937.57 +/- 294.78 m
 Z =   4972871.92 +/- 54.24 m
 Vx =    39352.76 +/- 2337.02 m/s
 Vy =    -1681.26 +/- 2001.92 m/s
 Vz =    29027.91 +/- 1993.25 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.224872e+05, -1.108007e+05, +1.629744e+04, +6.185003e+05, -4.664149e+05, +1.343350e+05
-1.108007e+05, +1.023439e+05, -1.467702e+04, -5.780355e+05, +4.387327e+05, -1.300674e+05
+1.629744e+04, -1.467702e+04, +2.859088e+03, +7.040383e+04, -5.391553e+04, +1.787025e+04
+6.185003e+05, -5.780355e+05, +7.040383e+04, +4.888272e+06, -3.853040e+06, +9.988994e+05
-4.664149e+05, +4.387327e+05, -5.391553e+04, -3.853040e+06, +3.089391e+06, -7.748157e+05
+1.343350e+05, -1.300674e+05, +1.787025e+04, +9.988994e+05, -7.748157e+05, +2.410630e+05

Timing offsets (from input data):
    UK0001: 0.002764 s
    UK002D: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 21:48:15.084196 UTC
  Lon     = +-0.397718 +/- 0.0032 deg
  Lat     = +50.391010 +/- 0.0023 deg
  Lat geo = +50.204985 +/- 0.0023 deg
  Ht      =  106702.37 +/- 274.05 m

  JD dynamic   = 2459437.409308659844 
  LST apparent = 286.2537777359 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 357.55365 +/- 3.1829 deg
  Dec       = +36.38878 +/- 1.3208 deg
  Azimuth   =  76.76137 +/- 3.2215 deg
  Elevation = +38.43347 +/- 1.0926 deg
  Vavg      =  47.98913 +/- 2.1012 km/s
  Vinit     =  48.92940 +/- 1.8814 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 357.69352 +/- 3.1829 deg
  Dec       = +36.19085 +/- 1.3208 deg
  Azimuth   =  76.86400 +/- 3.2215 deg
  Elevation = +38.22040 +/- 1.0926 deg
  Vavg      =  48.21985 +/- 2.1012 km/s
  Vinit     =  49.16012 +/- 1.8814 km/s
Radiant (geocentric, J2000):
  R.A.   = 357.97840 +/- 3.2857 deg
  Dec    = +35.80282 +/- 1.2597 deg
  Vg     =  47.65414 +/- 1.9399 km/s
  Vinf   =  48.92940 +/- 1.8814 km/s
  Zc     =  51.60935 +/- 1.1022 deg
  Zg     =  52.34092 +/- 1.1971 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  14.28888 +/- 3.4209 deg
  Bg     = +33.23752 +/- 0.2166 deg
  Vh     =  34.68463 +/- 2.4994 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 327.49275 +/- 0.8654 deg
  Bh     = +48.85882 +/- 2.8981 deg
  Vh_x   = -19.24430 +/- 2.2146 km/s
  Vh_y   =  12.26339 +/- 1.5253 km/s
  Vh_z   = -26.12067 +/- 1.1430 km/s
Orbit:
  La Sun = 138.180855 +/- -0.0000 deg
  a      =   1.620512 +/- 0.2284 AU
  e      =   0.709027 +/- 0.0475
  i      =  98.046611 +/- 0.6558 deg
  peri   = 286.798348 +/- 10.2283 deg
  node   = 138.180131 +/- 0.0000 deg
  Pi     =  64.978479 +/- 10.2283 deg
  q      =   0.471526 +/- 0.0289 AU
  f      = 253.197772 +/- 10.2283 deg
  M      = 336.379633 +/- 18.2630 deg
  Q      =   2.769499 +/- 0.4290 AU
  n      =   0.477778 +/- 0.2415 deg/day
  T      =   2.062904 +/- 0.3783 years
  Last perihelion JD = 2458733.358410 (2019-09-06 20:36:06.654445) +/- 142.5493 days
  Tj     =   3.101331 +/- 0.9009
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.794044e-03, +1.513589e-03, -8.891397e+00, -4.714120e-08, -9.114268e-03, +6.925991e-04
q   , +1.513589e-03, +8.732210e-04, -4.776737e+00, -2.365199e-08, -5.191326e-03, +3.475363e-04
Tp  , -8.891397e+00, -4.776737e+00, +2.892868e+04, +1.536475e-04, +2.843272e+01, -2.256889e+00
node, -4.714120e-08, -2.365199e-08, +1.536475e-04, +9.098204e-13, +1.424759e-07, -1.336596e-08
peri, -9.114268e-03, -5.191326e-03, +2.843272e+01, +1.424759e-07, +3.127320e-02, -2.093641e-03
i   , +6.925991e-04, +3.475363e-04, -2.256889e+00, -1.336596e-08, -2.093641e-03, +1.963569e-04

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

Mean time residuals from time vs. length:
  Station with reference time: UK002D
  Avg. res. = 1.221e-05 s
  Stddev    = 3.49e-03 s

Begin point on the trajectory:
  Lon =    -0.397627 +/- 0.0032 deg
  Lat =    50.391024 +/- 0.0023 deg
  Ht  = 106707.72 +/- 272.37 m
End point on the trajectory:
  Lon =    -0.546485 +/- 0.0036 deg
  Lat =    50.368710 +/- 0.0030 deg
  Ht  = 98019.75 +/- 321.53 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   104831.85,    99099.80,          0.018679,     45.86,     12.18,              35.23, 1.0000,    True,    True, {"ff_name": "FF_UK0001_20210810_214810_487_0140544.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   106707.72,    98019.75,          0.010169,     29.18,     11.25,              51.28, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210810_214806_116_0136448.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,     UK0001,       0,  0.062752, 2459437.408508577850, 327.41501,  18.23622,              118.25991,  43.19180,       118.25913,       43.18495,    327.41501,     +18.23622,     327.41995,      +18.23099,  1157035.41, -3976834.15,  4971086.35,      50.386231,       -0.429704,  104831.85,  151767.16,       0.00,             3009.76,   185.96,      0.00,           46533.66,     -4.66,    -17.60,          24.74,  +2.22,  +1.31
  1,     UK0001,       0,  0.102604, 2459437.408509039320, 327.14007,  17.98851,              118.74907,  43.14317,       118.75079,       43.15732,    327.14007,     +17.98851,     327.13075,      +17.99928,  1155616.97, -3976773.55,  4970040.06,      50.383425,       -0.448479,  103736.17,  150269.01,    1763.62,             4773.39,    -0.35,  44254.30,           46533.66,      9.56,     35.99,          51.11,  +2.04,  +1.16
  2,     UK0001,       0,  0.142396, 2459437.408509499859, 326.79160,  17.72620,              119.32777,  43.12179,       119.32776,       43.12171,    326.79160,     +17.72620,     326.79222,      +17.72615,  1153984.57, -3976703.81,  4968835.95,      50.380190,       -0.470067,  102475.57,  148553.48,    3793.27,             6803.04,    82.30,  51006.49,           46533.66,     -0.05,     -0.18,           0.26,  +1.63,  +0.77
  3,     UK0001,       0,  0.182224, 2459437.408509960864, 326.49403,  17.49886,              119.82473,  43.09931,       119.82334,       43.08926,    326.49403,     +17.49886,     326.50168,      +17.49121,  1152611.74, -3976645.16,  4967823.30,      50.377467,       -0.488252,  101415.70,  147115.92,    5500.18,             8509.95,  -159.55,  42857.08,           46533.66,     -6.63,    -25.07,          36.36,  +1.65,  +0.81
  4,     UK0001,       0,  0.222040, 2459437.408510421403, 326.15676,  17.17097,              120.44282,  43.01446,       120.44732,       43.04459,    326.15676,     +17.17097,     326.13687,      +17.19385,  1150916.26, -3976572.72,  4966572.66,      50.374098,       -0.510677,  100107.11,  145350.58,    7608.26,            10618.02,     0.35,  52945.43,           47597.18,     19.75,     74.30,         109.10,  +1.86,  +1.05
  5,     UK0001,       0,  0.261872, 2459437.408510882407, 325.86851,  16.93803,              120.93382,  42.97919,       120.93830,       43.00772,    325.86851,     +16.93803,     325.84988,      +16.95968,  1149610.80, -3976516.95,  4965609.71,      50.371500,       -0.527987,   99099.80,  143996.07,    9231.41,            12241.18,  -325.45,  40749.98,           46922.58,     18.53,     69.73,         103.35,  +4.05,  +3.26
  0,     UK002D,       0,  0.000000, 2459437.408507918939, 319.00332,   4.63461,              136.69577,  35.32678,       136.69350,       35.32210,    319.00332,      +4.63461,     319.00702,       +4.63118,  1159463.01, -3976937.86,  4972877.03,      50.391024,       -0.397627,  106707.72,  181412.69,       0.00,                8.61,   255.24,      0.00,           47294.77,     -5.73,    -14.87,          18.12,  +5.60,  +4.31
  1,     UK002D,       0,  0.080504, 2459437.408508850727, 318.42235,   3.98950,              137.67285,  34.98963,       137.67927,       35.00248,    318.42235,      +3.98950,     318.41248,       +3.99894,  1156524.20, -3976812.31,  4970709.27,      50.385220,       -0.436508,  104436.93,  178951.97,    3653.98,             3645.37,   -47.00,  45388.85,           47294.77,     15.60,     40.47,          49.99,  +2.96,  +1.70
  2,     UK002D,       0,  0.120740, 2459437.408509316389, 318.11005,   3.68506,              138.17355,  34.84397,       138.17109,       34.83911,    318.11005,      +3.68506,     318.11441,       +3.68149,  1155079.07, -3976750.57,  4969643.29,      50.382359,       -0.455637,  103320.74,  177757.15,    5450.79,             5442.18,  -218.92,  44656.67,           47294.77,     -5.86,    -15.22,          18.92,  +2.24,  +0.99
  3,     UK002D,       0,  0.161068, 2459437.408509782981, 317.74470,   3.26765,              138.78795,  34.61539,       138.79424,       34.62764,    317.74470,      +3.26765,     317.73560,       +3.27667,  1153264.60, -3976673.05,  4968304.88,      50.378762,       -0.479618,  101919.70,  176273.30,    7706.82,             7698.21,    63.88,  55942.00,           47294.77,     14.71,     38.16,          47.85,  +1.97,  +0.74
  4,     UK002D,       0,  0.201348, 2459437.408510249574, 317.39278,   2.91095,              139.35443,  34.43400,       139.35452,       34.43416,    317.39278,      +2.91095,     317.39349,       +2.91107,  1151652.08, -3976604.16,  4967115.42,      50.375560,       -0.500955,  100674.98,  174967.93,    9711.76,             9703.15,    97.95,  49775.03,           48291.75,      0.20,      0.52,           0.65,  +2.62,  +1.41
  5,     UK002D,       0,  0.241624, 2459437.408510715701, 317.08906,   2.56141,              139.86183,  34.23736,       139.87020,       34.25327,    317.08906,      +2.56141,     317.07731,       +2.57319,  1150183.19, -3976541.40,  4966031.93,      50.372639,       -0.520410,   99541.44,  173790.06,   11538.10,            11529.49,   -46.39,  45345.62,           48317.31,     18.93,     49.12,          62.48,  +4.51,  +3.31
  6,     UK002D,       0,  0.281972, 2459437.408511182293, 316.64608,   2.11217,              140.56889,  34.00265,       140.56882,       34.00253,    316.64608,      +2.11217,     316.64735,       +2.11209,  1148210.66, -3976457.13,  4964576.92,      50.368710,       -0.546485,   98019.75,  172228.53,   13990.66,            13982.05,   431.97,  60785.26,           49454.46,     -0.14,     -0.37,           0.48,  +5.76,  +4.58

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.