Orbital Analysis for matched events on 20210813_214441.997_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.84° Bg 38.57° Vg 60.63km/s
mass 0.00850g, abs. mag 0.4
Path Details
------------
start -1.48° 52.07° 109.55km
end   -1.59° 51.96° 100.89km

Orbit Details
-------------
Semimajor axis -13.86A.U., eccentricity 1.07, inclination 113.99°, Period 1000000000.00Y, LA Sun 141.06°, 

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: 2459440.406041637063
Time: 2021-08-13 21:44:41.997442 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK0027
 Convergence angle = 69.26953 deg
 R.A. =  47.08789  Dec = +56.49495 deg
Intersection 2 - Stations: UK000S and UK002W
 Convergence angle = 75.16221 deg
 R.A. =  48.61115  Dec = +58.69807 deg
Intersection 3 - Stations: UK0027 and UK002W
 Convergence angle = 6.30257 deg
 R.A. = 186.40238  Dec = -65.06867 deg

Best intersection: Stations UK000S and UK002W with Qconv = 75.16 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1184205.97 +/- 90.16 m
 Y =  -3816781.59 +/- 93.02 m
 Z =   5094030.28 +/- 322.52 m
 Vx =    21023.67 +/- 767.14 m/s
 Vy =    23968.46 +/- 788.99 m/s
 Vz =    52746.71 +/- 1169.38 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.315018e+04, +1.816885e+04, +4.232612e+04, -2.723390e+02, +2.876577e+03, +2.031412e+04
+1.816885e+04, +2.693854e+04, +6.583582e+04, -1.072775e+04, +5.907282e+03, +5.681759e+04
+4.232612e+04, +6.583582e+04, +1.657131e+05, -4.235875e+04, +1.700453e+04, +1.805993e+05
-2.723390e+02, -1.072775e+04, -4.235875e+04, +5.837794e+04, -1.095915e+04, -1.625470e+05
+2.876577e+03, +5.907282e+03, +1.700453e+04, -1.095915e+04, +2.664472e+03, +3.471675e+04
+2.031412e+04, +5.681759e+04, +1.805993e+05, -1.625470e+05, +3.471675e+04, +4.816792e+05

Timing offsets (from input data):
    UK000S: 0.000937 s
    UK0027: -0.000031 s
    UK002W: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 21:44:41.997442 UTC
  Lon     = +-1.480893 +/- 0.0016 deg
  Lat     = +52.069386 +/- 0.0022 deg
  Lat geo = +51.885801 +/- 0.0022 deg
  Ht      =  109589.50 +/- 219.60 m

  JD dynamic   = 2459440.406842377968 
  LST apparent = 287.2371809641 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.74473 +/- 0.4970 deg
  Dec       = +58.84949 +/- 0.5598 deg
  Azimuth   =  30.81774 +/- 0.4925 deg
  Elevation = +30.58700 +/- 0.4490 deg
  Vavg      =  60.22779 +/- 1.1689 km/s
  Vinit     =  61.63358 +/- 1.0005 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.47316 +/- 0.4970 deg
  Dec       = +58.65195 +/- 0.5598 deg
  Azimuth   =  31.08724 +/- 0.4925 deg
  Elevation = +30.51625 +/- 0.4490 deg
  Vavg      =  60.35687 +/- 1.1689 km/s
  Vinit     =  61.76265 +/- 1.0005 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.94949 +/- 0.4953 deg
  Dec    = +58.34126 +/- 0.5779 deg
  Vg     =  60.62650 +/- 1.0173 km/s
  Vinf   =  61.63358 +/- 1.0005 km/s
  Zc     =  59.57071 +/- 0.4484 deg
  Zg     =  60.11097 +/- 0.4703 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.83946 +/- 0.4207 deg
  Bg     = +38.57404 +/- 0.5418 deg
  Vh     =  42.60708 +/- 1.1697 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  82.20961 +/- 0.8748 deg
  Bh     = +62.52768 +/- 0.2147 deg
  Vh_x   =  -2.66429 +/- 0.2853 km/s
  Vh_y   = -19.47409 +/- 0.5048 km/s
  Vh_z   = -37.80244 +/- 1.0699 km/s
Orbit:
  La Sun = 141.058574 +/- 0.0000 deg
  a      = -13.864057 +/- 46.4598 AU
  e      =   1.069046 +/- 0.1076
  i      = 113.987664 +/- 0.2452 deg
  peri   = 153.297616 +/- 1.4809 deg
  node   = 141.056725 +/- 0.0000 deg
  Pi     = 294.354341 +/- 1.4809 deg
  q      =   0.957258 +/- 0.0038 AU
  f      =  26.698219 +/- 1.4809 deg
  M      =        nan +/- nan deg
  Q      = -28.685372 +/- 92.9196 AU
  n      =   0.019093 +/- 0.0420 deg/day
  T      = 1000000000.000000 +/- 399999933.6948 years
  Last perihelion JD = NaN 
  Tj     =  -0.876973 +/- 0.5930
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.663146e-03, -4.153547e-05, +3.437706e-02, +1.822175e-08, +3.493525e-04, -2.286115e-04
q   , -4.153547e-05, +7.000707e-07, -3.598822e-04, -2.501107e-10, -3.061087e-06, +3.146272e-06
Tp  , +3.437706e-02, -3.598822e-04, +3.265189e-01, +1.653245e-07, +3.396037e-03, -2.073083e-03
node, +1.822175e-08, -2.501107e-10, +1.653245e-07, +9.889996e-14, +1.566901e-09, -1.242395e-09
peri, +3.493525e-04, -3.061087e-06, +3.396037e-03, +1.566901e-09, +3.685402e-05, -1.962560e-05
i   , -2.286115e-04, +3.146272e-06, -2.073083e-03, -1.242395e-09, -1.962560e-05, +1.560741e-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: UK002W
  Avg. res. = 7.776e-07 s
  Stddev    = 8.82e-04 s

Begin point on the trajectory:
  Lon =    -1.481377 +/- 0.0010 deg
  Lat =    52.068886 +/- 0.0012 deg
  Ht  = 109550.55 +/- 156.70 m
End point on the trajectory:
  Lon =    -1.590259 +/- 0.0010 deg
  Lat =    51.957321 +/- 0.0009 deg
  Ht  = 100891.69 +/- 147.97 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   109005.71,   102797.52,          0.012525,     19.70,     31.17,              20.06, 0.1177,    True,    True, {"ff_name": "FF_UK000S_20210813_214432_007_0144128.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   0.287139,  24.970114,   109245.32,   100891.69,          0.047860,     82.36,     86.35,              18.27, 0.0983,    True,    True, {"ff_name": "FF_UK0027_20210813_214439_059_0137728.fits"}
    UK002W,   False,    -2.374601,    51.371449,   48.00,   0.000000,   0.000000,   109550.55,   102218.98,          0.036719,     62.49,     66.32,              18.27, 0.0983,    True,    True, {"ff_name": "FF_UK002W_20210813_214435_600_0138752.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,     UK000S,       0,  0.019937, 2459440.406042051967,  78.79244,  75.79586,                8.44394,  37.97302,         8.43840,       37.96011,     78.79244,     +75.79586,      78.82876,      +75.78554,  1183814.58, -3817227.81,  5093048.29,      52.061890,       -1.488298,  109005.71,  174793.70,       0.00,             1147.43,   191.19,      0.00,           59586.73,     35.18,     22.18,          49.08,  +3.73,  +2.52
  1,     UK000S,       0,  0.059917, 2459440.406042514835,  79.68243,  75.94453,                8.11779,  38.03009,         8.12303,       38.04249,     79.68243,     +75.94453,      79.64805,      +75.95455,  1183040.04, -3818110.84,  5091105.04,      52.047051,       -1.502818,  107850.87,  172660.81,    2270.66,             3418.09,    -2.26,  56794.89,           59586.73,    -33.28,    -21.05,          47.04,  +1.95,  +0.76
  2,     UK000S,       0,  0.099845, 2459440.406042976771,  80.57866,  76.15158,                7.76668,  38.14495,         7.76270,       38.13545,     80.57866,     +76.15158,      80.60534,      +76.14382,  1182178.61, -3819092.92,  5088943.79,      52.030539,       -1.518943,  106567.17,  170293.13,    4796.03,             5943.46,    62.20,  63248.19,           59586.73,     25.14,     15.86,          36.00,  +2.54,  +1.38
  3,     UK000S,       0,  0.139813, 2459440.406043439638,  81.54476,  76.31119,                7.42157,  38.21384,         7.42468,       38.22137,     81.54476,     +76.31119,      81.52461,      +76.31741,  1181394.65, -3819986.70,  5086976.89,      52.015504,       -1.533628,  105399.52,  168142.36,    7094.33,             8241.76,  -102.87,  57503.31,           59586.73,    -19.63,    -12.41,          28.49,  +2.65,  +1.52
  4,     UK000S,       0,  0.179745, 2459440.406043901574,  82.57765,  76.52005,                7.04079,  38.32833,         7.03683,       38.31862,     82.57765,     +76.52005,      82.60473,      +76.51193,  1180519.98, -3820983.89,  5084782.41,      51.998721,       -1.549988,  104097.46,  165747.71,    9658.53,            10805.96,     0.18,  64214.38,           60425.32,     24.94,     15.74,          36.70,  +2.63,  +1.53
  5,     UK000S,       0,  0.219713, 2459440.406044363976,  83.79193,  76.69253,                6.63012,  38.40026,         6.63695,       38.41727,     83.79193,     +76.69253,      83.74727,      +76.70697,  1179646.23, -3821980.02,  5082590.24,      51.981947,       -1.566325,  102797.52,  163360.87,   12220.05,            13367.48,    98.33,  64089.10,           61188.62,    -42.97,    -27.19,          64.20,  +3.53,  +2.46
  0,     UK0027,       0,  0.010073, 2459440.406041758135,  10.74494,  64.99760,               38.25121,  47.20117,        38.18978,       47.21842,     10.74494,     +64.99760,      10.74743,      +65.04274,  1183975.23, -3817044.65,  5093451.37,      52.064967,       -1.485214,  109245.32,  147722.73,       0.00,              676.45,   328.13,      0.00,           58625.38,     84.26,    -80.35,         162.58,  +2.86,  +2.01
  1,     UK0027,       0,  0.049833, 2459440.406042218674,  10.08739,  64.97424,               38.44730,  47.44649,        38.34011,       47.47677,     10.08739,     +64.97424,      10.08976,      +65.05278,  1183221.27, -3817904.22,  5091559.75,      52.050523,       -1.499353,  108121.04,  145624.40,    2210.32,             2886.77,    87.90,  55591.65,           58625.38,    144.26,   -138.00,         282.77,  +1.92,  +1.10
  2,     UK0027,       0,  0.089573, 2459440.406042678282,   9.38051,  64.99459,               38.59385,  47.72932,        38.50392,       47.75467,      9.38051,     +64.99459,       9.38106,      +65.06016,  1182432.87, -3818803.06,  5089581.70,      52.035413,       -1.514126,  106945.99,  143434.19,    4521.64,             5198.08,   -50.10,  58160.93,           58625.38,    118.73,   -113.36,         236.07,  +1.52,  +0.74
  3,     UK0027,       0,  0.129289, 2459440.406043138355,   8.59868,  65.01504,               38.75497,  48.04217,        38.68728,       48.06120,      8.59868,     +65.01504,       8.59801,      +65.06413,  1181589.09, -3819765.02,  5087464.72,      52.019234,       -1.529919,  105689.06,  141094.94,    6995.29,             7671.73,   -24.30,  62283.36,           58625.38,     87.53,    -83.38,         176.72,  +1.57,  +0.82
  4,     UK0027,       0,  0.168985, 2459440.406043597497,   7.75739,  65.04039,               38.91920,  48.38102,        38.88691,       48.39006,      7.75739,     +65.04039,       7.75679,      +65.06365,  1180712.79, -3820764.06,  5085266.16,      52.002421,       -1.546309,  104384.43,  138670.86,    9564.26,            10240.71,    98.07,  64716.20,           60192.40,     40.84,    -38.78,          83.77,  +1.59,  +0.88
  5,     UK0027,       0,  0.208693, 2459440.406044057105,   6.95629,  65.02420,               39.12810,  48.69000,        39.07936,       48.70367,      6.95629,     +65.02420,       6.95420,      +65.05914,  1179904.31, -3821685.79,  5083237.76,      51.986902,       -1.561439,  103181.41,  136438.86,   11934.42,            12610.86,    20.88,  59689.70,           60568.69,     60.35,    -57.34,         125.85,  +2.14,  +1.47
  6,     UK0027,       0,  0.248417, 2459440.406044517178,   6.19420,  65.02668,               39.29827,  48.99166,        39.26382,       49.00131,      6.19420,     +65.02668,       6.19245,      +65.05123,  1179160.46, -3822533.83,  5081371.49,      51.972617,       -1.575368,  102075.11,  134389.21,   14115.12,            14791.56,  -246.75,  54896.24,           60095.37,     41.82,    -39.68,          88.48,  +2.32,  +1.68
  7,     UK0027,       0,  0.288113, 2459440.406044976320,   5.34656,  65.06985,               39.42507,  49.34216,        39.47057,       49.32953,      5.34656,     +65.06985,       5.35188,      +65.03768,  1178364.36, -3823441.44,  5079374.14,      51.957321,       -1.590259,  100891.69,  132200.77,   16448.98,            17125.43,  -359.49,  58793.41,           59789.71,    -54.09,     51.01,         116.01,  +3.08,  +2.47
  0,     UK002W,       0,  0.000000, 2459440.406041637063,  10.92757,  65.10173,               38.06521,  47.17290,        38.14992,       47.14955,     10.92757,     +65.10173,      10.92262,      +65.03962,  1184179.87, -3816811.36,  5093964.78,      52.068886,       -1.481377,  109550.55,  148292.79,       0.00,               76.53,   349.05,      0.00,           58629.81,   -117.04,    110.32,         223.71,  +4.98,  +4.12
  1,     UK002W,       0,  0.039904, 2459440.406042098999,  10.26415,  65.05888,               38.28862,  47.41167,        38.30019,       47.40845,     10.26415,     +65.05888,      10.26377,      +65.05042,  1183418.62, -3817679.23,  5092054.88,      52.054305,       -1.495653,  108415.27,  146173.30,    2231.68,             2308.21,   121.30,  55926.22,           58629.81,    -15.67,     14.85,          30.47,  +2.88,  +2.06
  2,     UK002W,       0,  0.079764, 2459440.406042560469,   9.56065,  65.06673,               38.45110,  47.68738,        38.46228,       47.68427,      9.56065,     +65.06673,       9.56066,      +65.05859,  1182630.37, -3818577.89,  5090077.21,      52.039199,       -1.510424,  107240.29,  143982.51,    4542.55,             4619.09,   -24.54,  57974.73,           58629.81,    -14.85,     14.07,          29.31,  +1.94,  +1.15
  3,     UK002W,       0,  0.119604, 2459440.406043021474,   8.78161,  65.08118,               38.61966,  47.99593,        38.64411,       47.98914,      8.78161,     +65.08118,       8.78209,      +65.06347,  1181784.91, -3819541.78,  5087956.02,      52.022989,       -1.526251,  105980.70,  141637.50,    7021.13,             7097.66,    -1.44,  62213.26,           58629.81,    -31.81,     30.09,          63.77,  +1.57,  +0.81
  4,     UK002W,       0,  0.159432, 2459440.406043482479,   7.97152,  65.09313,               38.79523,  48.31666,        38.83532,       48.30554,      7.97152,     +65.09313,       7.97308,      +65.06424,  1180935.22, -3820510.48,  5085824.23,      52.006690,       -1.542150,  104715.52,  139285.64,    9512.08,             9588.62,    34.77,  62542.80,           59747.99,    -51.06,     48.23,         104.01,  +1.62,  +0.90
  5,     UK002W,       0,  0.199252, 2459440.406043943483,   7.18948,  65.12484,               38.93235,  48.63460,        39.02130,       48.61006,      7.18948,     +65.12484,       7.19404,      +65.06115,  1180143.29, -3821413.34,  5083837.33,      51.991490,       -1.556975,  103536.94,  137097.87,   11833.74,            11910.27,   -97.82,  58303.77,           59861.59,   -111.04,    104.47,         229.37,  +2.06,  +1.37
  6,     UK002W,       0,  0.239112, 2459440.406044404488,   6.29068,  65.06715,               39.21876,  48.96775,        39.24005,       48.96182,      6.29068,     +65.06715,       6.29304,      +65.05199,  1179257.21, -3822423.53,  5081614.22,      51.974475,       -1.573538,  102218.98,  134656.11,   14431.40,            14507.94,    43.13,  65169.71,           60471.07,    -25.93,     24.50,          54.65,  +3.33,  +2.68
  7,     UK002W,       1,  0.278992, 2459440.406044866424,   5.76153,  65.07837,               39.32113,  49.18074,        39.36667,       49.16810,      5.76153,     +65.07837,       5.76633,      +65.04607,  1178754.23, -3822996.96,  5080352.28,      51.964813,       -1.583009,  101471.13,  133270.64,   15905.95,            15982.48,  -940.27,  36974.57,           58765.28,    -54.73,     51.61,         116.43,  +6.42,  +5.80

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.