Orbital Analysis for matched events on 20210816_025019.689_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 83.18° Bg 21.71° Vg 60.29km/s
mass 0.01256g, abs. mag 0.4
Path Details
------------
start 0.33° 51.30° 107.80km
end   0.09° 51.24° 91.29km

Orbit Details
-------------
Semimajor axis 7.13A.U., eccentricity 0.93, inclination 130.57°, Period 19.02Y, LA Sun 143.18°, last Perihelion 2021-07-05

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: 2459442.618283445016
Time: 2021-08-16 02:50:19.689649 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002C
 Convergence angle = 23.41599 deg
 R.A. =  81.30862  Dec = +45.34521 deg

Best intersection: Stations UK000F and UK002C with Qconv = 23.42 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4027388.25 +/- 94.93 m
 Y =    539667.29 +/- 227.28 m
 Z =   5038645.55 +/- 122.60 m
 Vx =     6800.58 +/- 356.63 m/s
 Vy =    42655.11 +/- 787.43 m/s
 Vz =    43494.34 +/- 823.03 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.391554e+03, +1.673395e+04, +8.693595e+03, +2.485869e+04, +5.622656e+04, +2.827994e+04
+1.673395e+04, +4.310880e+04, +2.269812e+04, +5.747809e+04, +1.421574e+05, +6.786006e+04
+8.693595e+03, +2.269812e+04, +1.255263e+04, +2.894715e+04, +7.078540e+04, +3.484195e+04
+2.485869e+04, +5.747809e+04, +2.894715e+04, +1.072545e+05, +2.419604e+05, +1.209831e+05
+5.622656e+04, +1.421574e+05, +7.078540e+04, +2.419604e+05, +5.924231e+05, +2.873867e+05
+2.827994e+04, +6.786006e+04, +3.484195e+04, +1.209831e+05, +2.873867e+05, +1.485835e+05

Timing offsets (from input data):
    UK000F: 0.001350 s
    UK002C: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 02:50:19.689649 UTC
  Lon     = ++0.326519 +/- 0.0030 deg
  Lat     = +51.300568 +/- 0.0003 deg
  Lat geo = +51.115772 +/- 0.0003 deg
  Ht      =  107747.69 +/- 170.42 m

  JD dynamic   = 2459442.619084185921 
  LST apparent = 7.6321318145 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  80.94147 +/- 0.3164 deg
  Dec       = +45.19862 +/- 0.3312 deg
  Azimuth   =  67.05838 +/- 0.5306 deg
  Elevation = +42.86679 +/- 0.0886 deg
  Vavg      =  59.90173 +/- 0.6747 km/s
  Vinit     =  61.29816 +/- 0.8126 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  81.05361 +/- 0.3164 deg
  Dec       = +45.01094 +/- 0.3312 deg
  Azimuth   =  67.20478 +/- 0.5306 deg
  Elevation = +42.69375 +/- 0.0886 deg
  Vavg      =  60.10212 +/- 0.6747 km/s
  Vinit     =  61.49854 +/- 0.8126 km/s
Radiant (geocentric, J2000):
  R.A.   =  81.02872 +/- 0.3321 deg
  Dec    = +44.94015 +/- 0.3263 deg
  Vg     =  60.28523 +/- 0.8271 km/s
  Vinf   =  61.29816 +/- 0.8126 km/s
  Zc     =  47.20547 +/- 0.0884 deg
  Zg     =  47.62262 +/- 0.0890 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  83.17645 +/- 0.2703 deg
  Bg     = +21.71472 +/- 0.3130 deg
  Vh     =  40.34372 +/- 0.5773 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 108.56255 +/- 1.1038 deg
  Bh     = +33.56395 +/- 0.5378 deg
  Vh_x   =  10.70168 +/- 0.3459 km/s
  Vh_y   = -31.86830 +/- 0.8483 km/s
  Vh_z   = -22.30473 +/- 0.1068 km/s
Orbit:
  La Sun = 143.183882 +/- 0.0000 deg
  a      =   7.126603 +/- 1.0850 AU
  e      =   0.927427 +/- 0.0216
  i      = 130.572820 +/- 1.3831 deg
  peri   =  89.032921 +/- 2.5538 deg
  node   = 143.182867 +/- 0.0001 deg
  Pi     = 232.215788 +/- 2.5537 deg
  q      =   0.517199 +/- 0.0143 AU
  f      =  90.962963 +/- 2.5539 deg
  M      =   2.140251 +/- 1.6639 deg
  Q      =  13.736007 +/- 2.1568 AU
  n      =   0.051806 +/- 0.0370 deg/day
  T      =  19.024992 +/- 3.6600 years
  Last perihelion JD = 2459401.306293 (2021-07-05 19:21:03.678508) +/- 0.6676 days
  Tj     =   0.160937 +/- 0.2914
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.479976e-04, +3.369812e-04, +1.671096e-02, -4.779417e-08, +1.065574e-03, +5.359542e-04
q   , +3.369812e-04, +2.177604e-04, +1.032239e-02, -2.987499e-08, +6.798210e-04, +3.360996e-04
Tp  , +1.671096e-02, +1.032239e-02, +5.100849e-01, -1.461686e-06, +3.261940e-02, +1.640486e-02
node, -4.779417e-08, -2.987499e-08, -1.461686e-06, +4.320228e-12, -9.417909e-08, -4.866118e-08
peri, +1.065574e-03, +6.798210e-04, +3.261940e-02, -9.417909e-08, +2.130294e-03, +1.059177e-03
i   , +5.359542e-04, +3.360996e-04, +1.640486e-02, -4.866118e-08, +1.059177e-03, +5.485827e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.624975
 a2 = 15.322797

Mean time residuals from time vs. length:
  Station with reference time: UK002C
  Avg. res. = 4.579e-06 s
  Stddev    = 2.14e-03 s

Begin point on the trajectory:
  Lon =     0.327275 +/- 0.0031 deg
  Lat =    51.300769 +/- 0.0002 deg
  Ht  = 107801.73 +/- 180.17 m
End point on the trajectory:
  Lon =     0.094038 +/- 0.0019 deg
  Lat =    51.239019 +/- 0.0002 deg
  Ht  = 91293.21 +/- 105.82 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.000000,  69.946666,   105229.57,    93868.46,          0.013237,     21.24,     31.47,              40.31, 1.0000,    True,    True, {"ff_name": "FF_UK000F_20210816_025012_460_0604928.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   107801.73,    91293.21,          0.009343,      5.65,     28.58,              21.67, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210816_025016_068_0606464.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,     UK000F,       0,  0.059104, 2459442.618284133729,  50.34190,  14.26537,              120.13431,  38.44102,       120.12167,       38.41757,     50.34190,     +14.26537,      50.36401,      +14.25125,  4026977.51,   537090.99,  5036018.56,      51.291210,       +0.291027,  105229.57,  167088.84,       0.00,             3702.30,   173.17,      0.00,           60479.81,     61.53,     41.55,          91.66,  +2.21,  +1.10
  1,     UK000F,       0,  0.099384, 2459442.618284599856,  50.08401,  13.85368,              120.68897,  38.23415,       120.68749,       38.23146,     50.08401,     +13.85368,      50.08694,      +13.85206,  4026739.65,   535599.09,  5034497.31,      51.285783,       +0.270445,  103771.85,  165451.67,    2143.96,             5846.26,  -151.96,  53226.44,           60479.81,      7.02,      4.74,          10.56,  +1.08,  -0.01
  2,     UK000F,       0,  0.139700, 2459442.618285066448,  49.72236,  13.36486,              121.40196,  38.01529,       121.39035,       37.99442,     49.72236,     +13.36486,      49.74246,      +13.35228,  4026448.65,   533773.87,  5032636.17,      51.279135,       +0.245295,  101988.96,  163466.69,    4766.93,             8469.23,    -0.29,  65060.14,           60479.81,     53.87,     36.38,          82.02,  +0.80,  -0.27
  3,     UK000F,       0,  0.180032, 2459442.618285533041,  49.40363,  12.87037,              122.07101,  37.76611,       122.06792,       37.76064,     49.40363,     +12.87037,      49.40951,      +12.86707,  4026172.94,   532044.55,  5030872.83,      51.272827,       +0.221452,  100300.26,  161602.61,    7252.07,            10954.37,    12.57,  61617.10,           60479.81,     14.02,      9.46,          21.59,  +0.60,  -0.44
  4,     UK000F,       0,  0.220368, 2459442.618286000099,  49.07128,  12.36560,              122.75768,  37.51251,       122.75987,       37.51631,     49.07128,     +12.36560,      49.06863,      +12.36789,  4025896.00,   530307.48,  5029101.59,      51.266484,       +0.197496,   98604.49,  159747.46,    9748.35,            13450.65,    36.33,  61887.17,           61027.85,     -9.66,     -6.51,          15.04,  +0.34,  -0.68
  5,     UK000F,       0,  0.260716, 2459442.618286467157,  48.72452,  11.84294,              123.46764,  37.24819,       123.47356,       37.25831,     48.72452,     +11.84294,      48.71607,      +11.84907,  4025615.02,   528545.13,  5027304.56,      51.260040,       +0.173189,   96884.55,  157883.73,   12280.96,            15983.26,    95.68,  62769.19,           61433.32,    -25.52,    -17.20,          40.20,  +0.27,  -0.72
  6,     UK000F,       0,  0.301036, 2459442.618286933750,  48.38772,  11.35517,              124.14050,  37.00537,       124.14370,       37.01076,     48.38772,     +11.35517,      48.38389,      +11.35844,  4025355.44,   526916.94,  5025644.34,      51.254079,       +0.150714,   95296.00,  156178.26,   14620.77,            18323.07,   -36.05,  58031.00,           61213.55,    -13.48,     -9.09,          21.47,  +0.51,  -0.46
  7,     UK000F,       0,  0.341332, 2459442.618287399877,  48.08131,  10.90605,              124.75321,  36.77739,       124.75510,       36.78053,     48.08131,     +10.90605,      48.07976,      +10.90796,  4025122.10,   525453.40,  5024152.01,      51.248714,       +0.130490,   93868.46,  154658.83,   16723.97,            20426.27,  -402.92,  52193.76,           60370.94,     -7.80,     -5.27,          12.56,  +1.89,  +0.94
  0,     UK002C,       0,  0.000000, 2459442.618283445016,  70.94462,  25.86943,               91.37048,  35.05270,        91.36532,       35.04404,     70.94462,     +25.86943,      70.95469,      +25.86613,  4027397.06,   539722.56,  5038701.91,      51.300769,       +0.327275,  107801.73,  184453.71,       0.00,               79.43,   173.23,      0.00,           59308.76,     30.44,      6.04,          34.70,  +3.74,  +2.41
  1,     UK002C,       0,  0.040164, 2459442.618283909746,  70.85383,  25.55631,               91.70723,  34.88362,        91.71941,       34.90383,     70.85383,     +25.55631,      70.83050,      +25.56398,  4027078.81,   537726.40,  5036666.48,      51.293520,       +0.299802,  105850.53,  181767.72,    2868.61,             2789.18,   421.00,  71422.30,           59308.76,    -70.16,    -13.82,          81.14,  +2.82,  +1.52
  2,     UK002C,       0,  0.080264, 2459442.618284374010,  70.73963,  25.32394,               91.99372,  34.78699,        91.99748,       34.79320,     70.73963,     +25.32394,      70.73274,      +25.32630,  4026834.63,   536194.81,  5035104.75,      51.287951,       +0.278678,  104353.88,  179708.60,    5069.60,             4990.17,   163.94,  54887.73,           59308.76,    -21.35,     -4.22,          24.97,  +2.16,  +0.89
  3,     UK002C,       0,  0.120376, 2459442.618284838274,  70.64243,  25.08903,               92.26836,  34.67757,        92.27180,       34.68322,     70.64243,     +25.08903,      70.63637,      +25.09118,  4026598.47,   534713.57,  5033594.36,      51.282558,       +0.258240,  102906.80,  177720.28,    7198.25,             7118.82,  -166.21,  53067.55,           59308.76,    -19.23,     -3.81,          22.75,  +1.81,  +0.56
  4,     UK002C,       0,  0.160520, 2459442.618285303004,  70.52115,  24.78237,               92.62168,  34.53073,        92.62671,       34.53895,     70.52115,     +24.78237,      70.51228,      +24.78549,  4026299.59,   532838.91,  5031682.82,      51.275726,       +0.232411,  101075.91,  175211.41,    9892.25,             9812.82,    67.04,  67108.35,           60098.02,    -27.62,     -5.46,          33.14,  +1.69,  +0.47
  5,     UK002C,       0,  0.200636, 2459442.618285767268,  70.39949,  24.52231,               92.93574,  34.41749,        92.93327,       34.41348,     70.39949,     +24.52231,      70.40498,      +24.52078,  4026047.37,   531256.94,  5030069.72,      51.269952,       +0.210583,   99531.31,  173097.25,   12165.65,            12086.22,  -118.60,  56670.68,           59833.98,     13.35,      2.65,          16.22,  +1.56,  +0.37
  6,     UK002C,       0,  0.240776, 2459442.618286231998,  70.27874,  24.22535,               93.27909,  34.27634,        93.27612,       34.27156,     70.27874,     +24.22535,      70.28529,      +24.22353,  4025771.50,   529526.60,  5028305.34,      51.263630,       +0.186718,   97842.33,  170790.63,   14652.26,            14572.83,   -92.49,  61948.53,           59966.32,     15.72,      3.12,          19.35,  +1.38,  +0.22
  7,     UK002C,       0,  0.280920, 2459442.618286696263,  70.14886,  23.91300,               93.64170,  34.12910,        93.63651,       34.12076,     70.14886,     +23.91300,      70.15969,      +23.90983,  4025488.35,   527750.60,  5026494.40,      51.257132,       +0.162221,   96109.31,  168428.98,   17204.49,            17125.06,    -1.02,  63576.72,           60322.48,     27.05,      5.38,          33.78,  +1.55,  +0.42
  8,     UK002C,       0,  0.321068, 2459442.618287160993,  70.03281,  23.60983,               93.98474,  33.97937,        93.98193,       33.97488,     70.03281,     +23.60983,      70.03935,      +23.60813,  4025223.30,   526088.14,  5024799.23,      51.251041,       +0.139275,   94487.55,  166223.01,   19593.54,            19514.11,   -72.96,  59506.29,           60434.22,     14.39,      2.86,          18.21,  +1.64,  +0.54
  9,     UK002C,       0,  0.361228, 2459442.618287625723,  69.91269,  23.27857,               94.35317,  33.81097,        94.35582,       33.81517,     69.91269,     +23.27857,      69.90933,      +23.28016,  4024943.10,   524330.62,  5023007.13,      51.244595,       +0.115020,   92773.56,  163897.27,   22119.22,            22039.79,    -9.02,  62890.36,           60625.18,    -13.32,     -2.64,          17.09,  +1.90,  +0.83
 10,     UK002C,       0,  0.401364, 2459442.618288090453,  69.79368,  22.98900,               94.68579,  33.67196,        94.68638,       33.67289,     69.79368,     +22.98900,      69.79428,      +22.98935,  4024701.02,   522812.26,  5021458.90,      51.239019,       +0.094038,   91293.21,  161891.72,   24301.19,            24221.76,  -287.31,  54364.45,           60444.70,     -2.92,     -0.58,           3.79,  +3.19,  +2.14

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.