Orbital Analysis for matched events on 20210816_003439.880_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 51.97° Bg 39.09° Vg 49.27km/s
mass 0.15641g, abs. mag -3.5
Path Details
------------
start 3.09° 55.77° 108.13km
end   2.94° 55.74° 90.98km

Orbit Details
-------------
Semimajor axis 1.25A.U., eccentricity 0.19, inclination 105.86°, Period 1.40Y, LA Sun 143.09°, last Perihelion 2020-04-02

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: 2459442.524072689004
Time: 2021-08-16 00:34:39.880330 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0026 and UK003A
 Convergence angle = 13.70286 deg
 R.A. =  35.94271  Dec = +56.05893 deg

Best intersection: Stations UK0026 and UK003A with Qconv = 13.70 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3350317.22 +/- 543.38 m
 Y =  -1464641.07 +/- 1770.08 m
 Z =   5339733.32 +/- 1774.91 m
 Vx =    24061.44 +/- 5980.63 m/s
 Vy =    15453.01 +/- 4158.49 m/s
 Vz =    41626.34 +/- 5392.16 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.070045e+05, -2.911700e+05, -3.095049e+05, +3.453573e+05, -8.389330e+05, -8.800303e+05
-2.911700e+05, +8.724809e+05, +9.209515e+05, -9.286822e+05, +2.446557e+06, +2.524428e+06
-3.095049e+05, +9.209515e+05, +9.863734e+05, -9.900297e+05, +2.613632e+06, +2.747592e+06
+3.453573e+05, -9.286822e+05, -9.900297e+05, +1.289807e+06, -3.156043e+06, -3.251288e+06
-8.389330e+05, +2.446557e+06, +2.613632e+06, -3.156043e+06, +8.943030e+06, +9.075450e+06
-8.800303e+05, +2.524428e+06, +2.747592e+06, -3.251288e+06, +9.075450e+06, +9.515602e+06

Timing offsets (from input data):
    UK0026: 0.000000 s
    UK003A: 0.000385 s

Reference point on the trajectory:
  Time: 2021-08-16 00:34:39.880330 UTC
  Lon     = ++3.089858 +/- 0.0221 deg
  Lat     = +55.774143 +/- 0.0176 deg
  Lat geo = +55.597941 +/- 0.0176 deg
  Ht      =  108073.93 +/- 799.17 m

  JD dynamic   = 2459442.524873429909 
  LST apparent = 336.3867398420 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  32.70985 +/- 7.9512 deg
  Dec       = +55.51186 +/- 0.6623 deg
  Azimuth   =  66.59164 +/- 4.1047 deg
  Elevation = +59.10483 +/- 3.5308 deg
  Vavg      =  48.95526 +/- 5.4268 km/s
  Vinit     =  50.50248 +/- 6.1563 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  33.00380 +/- 7.9512 deg
  Dec       = +55.30453 +/- 0.6623 deg
  Azimuth   =  66.82350 +/- 4.1047 deg
  Elevation = +58.86700 +/- 3.5308 deg
  Vavg      =  49.08145 +/- 5.4268 km/s
  Vinit     =  50.62867 +/- 6.1563 km/s
Radiant (geocentric, J2000):
  R.A.   =  32.96906 +/- 7.8697 deg
  Dec    = +55.24992 +/- 0.6685 deg
  Vg     =  49.26785 +/- 6.2563 km/s
  Vinf   =  50.50248 +/- 6.1563 km/s
  Zc     =  30.96555 +/- 3.5410 deg
  Zg     =  31.35835 +/- 3.5092 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  51.96933 +/- 5.2785 deg
  Bg     = +39.08542 +/- 1.0956 deg
  Vh     =  32.31042 +/- 5.7149 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  46.10185 +/- 10.4751 deg
  Bh     = +74.02329 +/- 5.8327 deg
  Vh_x   =  -6.16645 +/- 1.5829 km/s
  Vh_y   =  -6.40830 +/- 6.9783 km/s
  Vh_z   = -31.06238 +/- 2.9123 km/s
Orbit:
  La Sun = 143.093348 +/- 0.0000 deg
  a      =   1.252834 +/- 7.9800 AU
  e      =   0.194508 +/- 0.5376
  i      = 105.863910 +/- 4.1803 deg
  peri   = 191.857635 +/- 10.1443 deg
  node   = 143.093336 +/- 0.0003 deg
  Pi     = 334.950971 +/- 10.1446 deg
  q      =   1.009148 +/- 0.0280 AU
  f      = 348.138694 +/- 10.1442 deg
  M      = 352.136069 +/- nan deg
  Q      =   1.496520 +/- 15.9534 AU
  n      =   0.702852 +/- 0.5086 deg/day
  T      =   1.402300 +/- 498887639.6816 years
  Last perihelion JD = 2458941.514492 (2020-04-02 00:20:52.115156) +/- 160.2804 days
  Tj     =   3.890880 +/- 3.1181
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.593989e-02, -3.486321e-03, +3.215610e+01, -8.237997e-07, -4.611860e-02, +1.169636e-02
q   , -3.486321e-03, +2.526744e-04, -1.663719e+00, +5.193403e-08, +2.793146e-03, -7.340813e-04
Tp  , +3.215610e+01, -1.663719e+00, +3.202685e+04, -5.084315e-04, -3.790051e+01, +7.339722e+00
node, -8.237997e-07, +5.193403e-08, -5.084315e-04, +1.290318e-11, +7.193834e-07, -1.834344e-07
peri, -4.611860e-02, +2.793146e-03, -3.790051e+01, +7.193834e-07, +4.921919e-02, -1.031535e-02
i   , +1.169636e-02, -7.340813e-04, +7.339722e+00, -1.834344e-07, -1.031535e-02, +2.608925e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.539836
 a2 = 17.019805

Mean time residuals from time vs. length:
  Station with reference time: UK0026
  Avg. res. = 1.355e-05 s
  Stddev    = 3.68e-03 s

Begin point on the trajectory:
  Lon =     3.090313 +/- 0.0218 deg
  Lat =    55.774254 +/- 0.0175 deg
  Ht  = 108126.77 +/- 765.30 m
End point on the trajectory:
  Lon =     2.940793 +/- 0.0064 deg
  Lat =    55.738058 +/- 0.0054 deg
  Ht  = 90981.72 +/- 206.24 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
    UK0026,   False,    -0.023645,    52.984073,    6.00,   0.323210,  17.929132,   108126.77,    90981.72,          0.017213,     98.61,     58.33,              36.21, 1.0000,    True,    True, {"ff_name": "FF_UK0026_20210816_003437_060_0403456.fits"}
    UK003A,   False,    -2.395630,    52.113500,   85.00,   0.001456,  35.156376,    99374.28,    92745.17,          0.021785,    150.74,    143.89,              37.66, 1.0000,    True,    True, {"ff_name": "FF_UK003A_20210816_003436_837_0395520.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,     UK0026,       0,  0.000000, 2459442.524072689004, 108.04502,  44.01160,               31.82277,  14.46772,        31.82568,       14.46659,    108.04502,     +44.01160,     108.04219,      +44.00934,  3350346.56, -1464622.22,  5339784.08,      55.774254,       +3.090313,  108126.77,  388996.87,       0.00,               61.58,    -0.50,      0.00,           51871.29,    -10.50,     17.73,          10.93,  +2.93,  -0.02
  1,     UK0026,       0,  0.040192, 2459442.524073154200, 108.29828,  43.86279,               31.72135,  14.25382,        31.73431,       14.24880,    108.29828,     +43.86279,     108.28585,      +43.85276,  3349319.78, -1465281.66,  5338007.75,      55.770369,       +3.074230,  106277.53,  387537.99,    2155.11,             2093.52,     1.65,  53620.33,           51871.29,    -46.63,     78.77,          48.72,  +2.81,  -0.13
  2,     UK0026,       0,  0.080360, 2459442.524073618930, 108.51584,  43.72926,               31.63608,  14.06500,        31.65423,       14.05796,    108.51584,     +43.72926,     108.49852,      +43.71524,  3348426.38, -1465855.42,  5336462.17,      55.766986,       +3.060209,  104668.66,  386273.22,    4030.26,             3968.68,  -151.79,  46682.72,           51871.29,    -65.07,    109.97,          68.23,  +2.06,  -0.87
  3,     UK0026,       0,  0.120568, 2459442.524074084591, 108.77562,  43.55884,               31.53826,  13.82969,        31.55606,       13.82279,    108.77562,     +43.55884,     108.75879,      +43.54512,  3347333.81, -1466557.10,  5334572.03,      55.762843,       +3.043094,  102701.29,  384734.60,    6323.44,             6261.86,   110.79,  57033.02,           51871.29,    -63.63,    107.54,          66.99,  +0.91,  -2.02
  4,     UK0026,       0,  0.160764, 2459442.524074549787, 108.98430,  43.37582,               31.47945,  13.59911,        31.46508,       13.60467,    108.98430,     +43.37582,     108.99899,      +43.38688,  3346328.27, -1467202.90,  5332832.43,      55.759027,       +3.027323,  100890.79,  383324.80,    8433.98,             8372.40,   191.33,  52506.16,           52341.81,     51.28,    -86.51,          54.11,  +1.02,  -1.90
  5,     UK0026,       0,  0.200920, 2459442.524075014517, 109.19433,  43.26010,               31.38904,  13.42878,        31.39121,       13.42793,    109.19433,     +43.26010,     109.19304,      +43.25843,  3345518.77, -1467722.78,  5331432.00,      55.755951,       +3.014590,   99433.39,  382193.48,   10133.03,            10071.45,  -137.59,  42311.27,           51044.54,     -7.75,     13.08,           8.21,  +0.71,  -2.20
  6,     UK0026,       0,  0.241108, 2459442.524075479712, 109.46415,  43.12467,               31.26622,  13.22200,        31.30015,       13.20884,    109.46415,     +43.12467,     109.43198,      +43.09864,  3344522.29, -1468362.75,  5329708.08,      55.752161,       +2.998950,   97639.50,  380808.02,   12224.55,            12162.96,   -75.67,  52043.23,           50688.09,   -120.24,    203.44,         128.00,  +0.73,  -2.17
  7,     UK0026,       0,  0.281308, 2459442.524075944908, 109.68134,  42.94334,               31.19834,  12.99024,        31.20793,       12.98653,    109.68134,     +42.94334,     109.67313,      +42.93600,  3343518.61, -1469007.35,  5327971.72,      55.748340,       +2.983192,   95832.84,  379419.19,   14331.15,            14269.57,     0.73,  52403.19,           50682.53,    -33.91,     57.30,          36.19,  +0.77,  -2.13
  8,     UK0026,       0,  0.321492, 2459442.524076410104, 109.88910,  42.78153,               31.12748,  12.77904,        31.12268,       12.78090,    109.88910,     +42.78153,     109.89515,      +42.78520,  3342596.83, -1469599.34,  5326377.04,      55.744827,       +2.968701,   94173.71,  378149.11,   16265.88,            16204.30,   -93.93,  48146.66,           50510.89,     16.95,    -28.62,          18.15,  +0.51,  -2.38
  9,     UK0026,       0,  0.361664, 2459442.524076874834, 110.13067,  42.65185,               31.01885,  12.58647,        31.03895,       12.57868,    110.13067,     +42.65185,     110.11246,      +42.63651,  3341696.40, -1470177.63,  5324819.29,      55.741392,       +2.954538,   92553.15,  376913.83,   18155.80,            18094.21,  -232.80,  47045.65,           50234.57,    -70.68,    119.53,          75.99,  +0.39,  -2.49
 10,     UK0026,       0,  0.401844, 2459442.524077340029, 110.30592,  42.47860,               30.97363,  12.37499,        30.95731,       12.38130,    110.30592,     +42.47860,     110.32362,      +42.49102,  3340823.20, -1470738.42,  5323308.66,      55.738058,       +2.940793,   90981.72,  375720.99,   19988.54,            19926.96,  -429.25,  45613.33,           49873.82,     57.28,    -96.69,          61.69,  +0.96,  -1.91
  0,     UK003A,       0,  0.201515, 2459442.524075014517, 100.82703,  35.54996,               39.04886,   7.94390,        39.06836,        7.93858,    100.82703,     +35.54996,     100.81010,      +35.53609,  3345485.94, -1467743.87,  5331375.20,      55.755826,       +3.014080,   99374.28,  551774.33,       0.00,            10140.36,   -98.73,      0.00,           49697.95,   -133.11,    139.67,          72.13,  +2.07,  -1.64
  1,     UK003A,       0,  0.241647, 2459442.524075478781, 100.97138,  35.42076,               39.00638,   7.77438,        39.02078,        7.77045,    100.97138,     +35.42076,     100.95926,      +35.41053,  3344433.66, -1468419.67,  5329554.76,      55.751824,       +2.997574,   97479.97,  550332.06,    2208.62,            12348.98,    83.12,  55033.77,           49697.95,    -98.12,    102.94,          53.30,  +0.73,  -2.97
  2,     UK003A,       0,  0.281783, 2459442.524075943511, 101.09581,  35.27961,               38.98367,   7.60199,        38.97388,        7.60466,    101.09581,     +35.27961,     101.10591,      +35.28655,  3343401.40, -1469082.62,  5327768.95,      55.747894,       +2.981371,   95621.87,  548922.08,    4375.22,            14515.58,   222.75,  53981.54,           49697.95,     66.57,    -69.77,          36.23,  +1.06,  -2.64
  3,     UK003A,       0,  0.321863, 2459442.524076407310, 101.21955,  35.20515,               38.92935,   7.48861,        38.94001,        7.48570,    101.21955,     +35.20515,     101.21117,      +35.19760,  3342663.70, -1469556.39,  5326492.73,      55.745082,       +2.969741,   94294.07,  547915.46,    5923.57,            16063.93,  -253.04,  38631.53,           49697.95,    -72.31,     75.86,          39.45,  +2.04,  -1.65
  4,     UK003A,       0,  0.361991, 2459442.524076871574, 101.29780,  35.06629,               38.93854,   7.33598,        38.90049,        7.34633,    101.29780,     +35.06629,     101.33400,      +35.09321,  3341803.10, -1470109.10,  5325003.89,      55.741800,       +2.956198,   92745.17,  546745.56,    7729.88,            17870.25,  -473.29,  45013.82,           47797.94,    257.92,   -269.98,         140.86,  -0.58,  -4.27

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.