Orbital Analysis for matched events on 20210810_030435.288_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 65.20° Bg 23.15° Vg 57.38km/s
mass 0.00415g, abs. mag 0.9
Path Details
------------
start -2.72° 50.36° 105.70km
end   -2.83° 50.35° 95.76km

Orbit Details
-------------
Semimajor axis 1.60A.U., eccentricity 0.56, inclination 132.75°, Period 2.01Y, LA Sun 137.43°, last Perihelion 2021-06-19

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: 2459436.628186205402
Time: 2021-08-10 03:04:35.288147 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0038
 Convergence angle = 27.72235 deg
 R.A. =  57.55799  Dec = +43.88179 deg

Best intersection: Stations UK000H and UK0038 with Qconv = 27.72 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4141117.81 +/- 97.41 m
 Y =    162131.72 +/- 54.69 m
 Z =   4970081.06 +/- 40.46 m
 Vx =    22482.01 +/- 559.55 m/s
 Vy =    35458.34 +/- 507.94 m/s
 Vz =    40661.62 +/- 249.96 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.017876e+04, -5.405302e+03, +3.647268e+03, +5.486423e+04, -3.076205e+04, +1.889094e+04
-5.405302e+03, +3.208209e+03, -2.116804e+03, -3.030301e+04, +1.861367e+04, -1.214236e+04
+3.647268e+03, -2.116804e+03, +1.754424e+03, +1.838405e+04, -1.259457e+04, +9.049682e+03
+5.486423e+04, -3.030301e+04, +1.838405e+04, +3.307414e+05, -1.864473e+05, +1.103613e+05
-3.076205e+04, +1.861367e+04, -1.259457e+04, -1.864473e+05, +1.205055e+05, -7.927722e+04
+1.889094e+04, -1.214236e+04, +9.049682e+03, +1.103613e+05, -7.927722e+04, +5.630175e+04

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK0038: -0.000067 s

Reference point on the trajectory:
  Time: 2021-08-10 03:04:35.288147 UTC
  Lon     = +-2.724494 +/- 0.0008 deg
  Lat     = +50.363130 +/- 0.0005 deg
  Lat geo = +50.177042 +/- 0.0005 deg
  Ht      =  105685.35 +/- 89.06 m

  JD dynamic   = 2459436.628986946307 
  LST apparent = 2.2420809545 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  57.62366 +/- 0.8730 deg
  Dec       = +44.08267 +/- 0.2057 deg
  Azimuth   =  77.64164 +/- 0.3881 deg
  Elevation = +52.75812 +/- 0.6162 deg
  Vavg      =  56.05258 +/- 0.1694 km/s
  Vinit     =  58.44743 +/- 0.1416 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  57.85657 +/- 0.8730 deg
  Dec       = +43.91334 +/- 0.2057 deg
  Azimuth   =  77.74554 +/- 0.3881 deg
  Elevation = +52.52840 +/- 0.6162 deg
  Vavg      =  56.23174 +/- 0.1694 km/s
  Vinit     =  58.62659 +/- 0.1416 km/s
Radiant (geocentric, J2000):
  R.A.   =  57.67750 +/- 0.8797 deg
  Dec    = +43.84293 +/- 0.2098 deg
  Vg     =  57.38392 +/- 0.1443 km/s
  Vinf   =  58.44743 +/- 0.1416 km/s
  Zc     =  37.28209 +/- 0.6171 deg
  Zg     =  37.63700 +/- 0.6253 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  65.20319 +/- 0.6408 deg
  Bg     = +23.14806 +/- 0.3162 deg
  Vh     =  34.55587 +/- 0.0850 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  84.61167 +/- 1.2176 deg
  Bh     = +40.75552 +/- 0.6307 deg
  Vh_x   =  -2.45808 +/- 0.5519 km/s
  Vh_y   = -26.06048 +/- 0.2160 km/s
  Vh_z   = -22.55920 +/- 0.3413 km/s
Orbit:
  La Sun = 137.432120 +/- -0.0000 deg
  a      =   1.595179 +/- 0.0164 AU
  e      =   0.560833 +/- 0.0103
  i      = 132.752522 +/- 0.2882 deg
  peri   =  98.056095 +/- 2.6416 deg
  node   = 137.430759 +/- 0.0000 deg
  Pi     = 235.486854 +/- 2.6417 deg
  q      =   0.700549 +/- 0.0209 AU
  f      =  81.939481 +/- 2.6416 deg
  M      =  25.041952 +/- 0.5667 deg
  Q      =   2.489808 +/- 0.0218 AU
  n      =   0.489204 +/- 0.0078 deg/day
  T      =   2.014720 +/- 0.0309 years
  Last perihelion JD = 2459385.439818 (2021-06-19 22:33:20.239027) +/- 0.3407 days
  Tj     =   2.640182 +/- 0.0381
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.146573e-04, -2.224537e-04, -2.822701e-03, -1.114618e-09, -4.820982e-04, +1.050239e-05
q   , -2.224537e-04, +4.672120e-04, +6.851080e-03, +5.243921e-09, +1.030777e-03, -4.948866e-05
Tp  , -2.822701e-03, +6.851080e-03, +1.247955e-01, +1.436523e-07, +1.557496e-02, -1.356425e-03
node, -1.114618e-09, +5.243921e-09, +1.436523e-07, +3.037189e-13, +1.292237e-08, -2.867266e-09
peri, -4.820982e-04, +1.030777e-03, +1.557496e-02, +1.292237e-08, +2.283008e-03, -1.219671e-04
i   , +1.050239e-05, -4.948866e-05, -1.356425e-03, -2.867266e-09, -1.219671e-04, +2.706905e-05

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: UK000H
  Avg. res. = 7.166e-06 s
  Stddev    = 2.68e-03 s

Begin point on the trajectory:
  Lon =    -2.724316 +/- 0.0008 deg
  Lat =    50.363155 +/- 0.0005 deg
  Ht  = 105702.72 +/- 90.25 m
End point on the trajectory:
  Lon =    -2.827439 +/- 0.0004 deg
  Lat =    50.348780 +/- 0.0002 deg
  Ht  = 95761.98 +/- 37.75 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   105702.72,    96249.84,          0.007649,     16.77,      7.14,              74.99, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210810_030432_507_0608512.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000001,  89.922349,   102668.81,    95761.98,          0.013955,     37.14,      2.46,              69.79, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210810_030434_520_0604416.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,     UK000H,       0,  0.000000, 2459436.628186205402, 331.13958,  19.83092,              230.99847,  50.03428,       230.97530,       50.02977,    331.13958,     +19.83092,     331.15058,      +19.81931,  4141126.21,   162144.96,  4970096.24,      50.363155,       -2.724316,  105702.72,  137116.59,       0.00,               21.82,    91.32,      0.00,           57997.21,    -14.59,     34.24,          55.99,  +3.50,  +2.81
  1,     UK000H,       0,  0.040756, 2459436.628186677117, 330.37596,  19.16443,              231.40883,  49.09008,       231.41278,       49.09085,    330.37596,     +19.16443,     330.37421,      +19.16644,  4140194.59,   160675.63,  4968411.30,      50.360379,       -2.744285,  103774.74,  136470.58,    2421.95,             2400.13,    87.55,  59425.63,           57997.21,      2.52,     -5.92,           9.73,  +2.35,  +1.67
  2,     UK000H,       0,  0.081484, 2459436.628187148366, 329.61703,  18.53173,              231.83460,  48.17521,       231.82409,       48.17317,    329.61703,     +18.53173,     329.62254,      +18.52633,  4139293.85,   159255.00,  4966782.19,      50.357689,       -2.763607,  101910.95,  135884.54,    4763.65,             4741.83,    48.80,  57495.98,           57997.21,     -6.78,     15.92,          26.26,  +1.50,  +0.83
  3,     UK000H,       0,  0.122220, 2459436.628187620081, 328.87247,  17.88123,              232.22355,  47.25059,       232.22251,       47.25039,    328.87247,     +17.88123,     328.87350,      +17.88069,  4138397.01,   157840.50,  4965160.13,      50.355007,       -2.782855,  100055.52,  135339.04,    7095.21,             7073.39,    -0.55,  57236.02,           57997.21,     -0.68,      1.59,           2.63,  +1.86,  +1.20
  4,     UK000H,       0,  0.162972, 2459436.628188091796, 328.10554,  17.21488,              232.62196,  46.29966,       232.61836,       46.29896,    328.10554,     +17.21488,     328.10805,      +17.21299,  4137480.84,   156395.54,  4963503.13,      50.352262,       -2.802523,   98160.41,  134821.25,    9477.01,             9455.19,    -0.61,  58446.09,           57994.19,     -2.38,      5.58,           9.28,  +1.48,  +0.83
  5,     UK000H,       0,  0.203736, 2459436.628188563511, 327.33076,  16.53651,              233.01542,  45.33287,       233.00659,       45.33116,    327.33076,     +16.53651,     327.33618,      +16.53180,  4136557.05,   154938.55,  4961832.34,      50.349489,       -2.822363,   96249.84,  134340.08,   11878.62,            11856.80,    18.46,  58915.09,           58124.96,     -5.92,     13.89,          23.18,  +2.45,  +1.81
  0,     UK0038,       0,  0.061261, 2459436.628186837770, 352.41496,   3.17230,              193.52513,  41.06196,       193.51420,       41.05608,    352.41496,      +3.17230,     352.42250,       +3.16527,  4139660.13,   159832.68,  4967444.65,      50.358783,       -2.755706,  102668.81,  154466.21,       0.00,             3789.61,   278.58,      0.00,           56839.21,      1.81,     27.25,          36.46,  +2.78,  +1.84
  1,     UK0038,       0,  0.101569, 2459436.628187304363, 351.97356,   2.67727,              194.00360,  40.50686,       194.02335,       40.51743,    351.97356,      +2.67727,     351.96070,       +2.68999,  4138936.35,   158691.15,  4966135.60,      50.356621,       -2.771267,  101171.29,  153840.19,    1881.64,             5671.25,  -195.68,  46681.51,           56839.21,     -3.28,    -49.19,          66.10,  +2.14,  +1.20
  2,     UK0038,       0,  0.141953, 2459436.628187771887, 351.31921,   2.03146,              194.71754,  39.76752,       194.71481,       39.76607,    351.31921,      +2.03146,     351.32161,       +2.02970,  4137940.73,   157120.87,  4964334.90,      50.353640,       -2.792619,   99111.67,  153012.10,    4469.98,             8259.59,    32.32,  64093.32,           56839.21,      0.45,      6.79,           9.17,  +1.59,  +0.67
  3,     UK0038,       0,  0.182313, 2459436.628188238945, 350.73857,   1.43887,              195.33473,  39.08875,       195.32659,       39.08444,    350.73857,      +1.43887,     350.74483,       +1.43357,  4137051.15,   155717.83,  4962725.97,      50.350973,       -2.811724,   97271.68,  152306.04,    6782.68,            10572.28,   -13.92,  57301.64,           56839.21,      1.34,     20.30,          27.56,  +2.77,  +1.86
  4,     UK0038,       0,  0.222605, 2459436.628188705072, 350.25052,   0.95520,              195.84784,  38.53004,       195.82489,       38.51792,    350.25052,      +0.95520,     350.26705,       +0.94021,  4136321.14,   154566.48,  4961405.67,      50.348780,       -2.827439,   95761.98,  151751.11,    8680.49,            12470.10,  -471.07,  47101.60,           55182.70,      3.77,     57.23,          77.96,  +4.60,  +3.69

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.