Orbital Analysis for matched events on 20210813_230437.667_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 65.31° Bg 38.10° Vg 60.17km/s
mass 0.01392g, abs. mag 0.2
Path Details
------------
start -1.21° 52.43° 108.38km
end   -1.37° 52.31° 95.12km

Orbit Details
-------------
Semimajor axis -32.96A.U., eccentricity 1.03, inclination 113.96°, Period 1000000000.00Y, LA Sun 141.11°, 

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: 2459440.461547072046
Time: 2021-08-13 23:04:37.667870 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK000S
 Convergence angle = 25.23652 deg
 R.A. =  49.83797  Dec = +57.55896 deg
Intersection 2 - Stations: UK000C and UK002H
 Convergence angle = 59.81933 deg
 R.A. =  50.26434  Dec = +58.15135 deg
Intersection 3 - Stations: UK000S and UK002H
 Convergence angle = 34.58509 deg
 R.A. =  51.15788  Dec = +58.22315 deg

Best intersection: Stations UK000C and UK002H with Qconv = 59.82 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2415197.37 +/- 58.47 m
 Y =  -3142796.93 +/- 42.83 m
 Z =   5117721.74 +/- 90.74 m
 Vx =    19995.72 +/- 462.04 m/s
 Vy =    24747.78 +/- 353.85 m/s
 Vz =    52260.09 +/- 525.86 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.098719e+03, -1.552296e+02, -2.031521e+03, +1.042763e+04, -1.938994e+03, -1.232779e+04
-1.552296e+02, +2.082913e+03, +2.161584e+03, -2.812973e+03, +9.721746e+03, +9.628235e+03
-2.031521e+03, +2.161584e+03, +9.011065e+03, -1.193473e+04, +2.642246e+03, +2.488943e+04
+1.042763e+04, -2.812973e+03, -1.193473e+04, +5.757665e+04, -9.784670e+02, -2.680447e+04
-1.938994e+03, +9.721746e+03, +2.642246e+03, -9.784670e+02, +7.050941e+04, +6.327276e+04
-1.232779e+04, +9.628235e+03, +2.488943e+04, -2.680447e+04, +6.327276e+04, +1.552111e+05

Timing offsets (from input data):
    UK000C: 0.001743 s
    UK000S: 0.002259 s
    UK002H: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:04:37.667870 UTC
  Lon     = +-1.212947 +/- 0.0008 deg
  Lat     = +52.425585 +/- 0.0007 deg
  Lat geo = +52.242547 +/- 0.0007 deg
  Ht      =  108337.09 +/- 60.15 m

  JD dynamic   = 2459440.462347822729 
  LST apparent = 307.5417955525 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  51.06247 +/- 0.5019 deg
  Dec       = +58.66660 +/- 0.2370 deg
  Azimuth   =  39.32337 +/- 0.3863 deg
  Elevation = +37.07316 +/- 0.1752 deg
  Vavg      =  59.04020 +/- 0.3178 km/s
  Vinit     =  61.18332 +/- 0.4600 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  50.94185 +/- 0.5019 deg
  Dec       = +58.44230 +/- 0.2370 deg
  Azimuth   =  39.58481 +/- 0.3863 deg
  Elevation = +36.96972 +/- 0.1752 deg
  Vavg      =  59.18684 +/- 0.3178 km/s
  Vinit     =  61.32996 +/- 0.4600 km/s
Radiant (geocentric, J2000):
  R.A.   =  51.31199 +/- 0.4945 deg
  Dec    = +58.27062 +/- 0.2398 deg
  Vg     =  60.16848 +/- 0.4681 km/s
  Vinf   =  61.18332 +/- 0.4600 km/s
  Zc     =  53.06852 +/- 0.1753 deg
  Zg     =  53.54703 +/- 0.1743 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  65.30666 +/- 0.3762 deg
  Bg     = +38.10378 +/- 0.1955 deg
  Vh     =  42.16989 +/- 0.4759 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  85.50102 +/- 0.7316 deg
  Bh     = +61.69964 +/- 0.3614 deg
  Vh_x   =  -1.56824 +/- 0.2361 km/s
  Vh_y   = -19.93088 +/- 0.4163 km/s
  Vh_z   = -37.12951 +/- 0.3538 km/s
Orbit:
  La Sun = 141.111883 +/- -0.0000 deg
  a      = -32.963290 +/- 23.2861 AU
  e      =   1.028561 +/- 0.0415
  i      = 113.957259 +/- 0.3454 deg
  peri   = 149.380983 +/- 0.6111 deg
  node   = 141.110553 +/- 0.0000 deg
  Pi     = 290.491536 +/- 0.6111 deg
  q      =   0.941458 +/- 0.0025 AU
  f      =  30.614954 +/- 0.6111 deg
  M      =        nan +/- nan deg
  Q      = -66.868038 +/- 46.5727 AU
  n      =   0.005208 +/- 0.0180 deg/day
  T      = 1000000000.000000 +/- 249443794.9020 years
  Last perihelion JD = NaN 
  Tj     =  -0.649840 +/- 0.2361
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.246067e-03, -1.298440e-05, +1.384757e-02, -5.193978e-09, +1.547749e-04, +6.756525e-05
q   , -1.298440e-05, +6.486377e-06, +7.796186e-04, -1.767152e-10, +2.411538e-05, +2.279047e-06
Tp  , +1.384757e-02, +7.796186e-04, +2.885300e-01, -9.451669e-08, +5.466332e-03, +1.226465e-03
node, -5.193978e-09, -1.767152e-10, -9.451669e-08, +2.259388e-13, -1.633004e-09, -2.922985e-09
peri, +1.547749e-04, +2.411538e-05, +5.466332e-03, -1.633004e-09, +1.235031e-04, +2.115987e-05
i   , +6.756525e-05, +2.279047e-06, +1.226465e-03, -2.922985e-09, +2.115987e-05, +3.781507e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 13.209180
 a2 = 10.762102

Mean time residuals from time vs. length:
  Station with reference time: UK002H
  Avg. res. = 5.460e-06 s
  Stddev    = 2.34e-03 s

Begin point on the trajectory:
  Lon =    -1.212430 +/- 0.0007 deg
  Lat =    52.425971 +/- 0.0005 deg
  Ht  = 108379.70 +/- 36.72 m
End point on the trajectory:
  Lon =    -1.374998 +/- 0.0004 deg
  Lat =    52.305443 +/- 0.0011 deg
  Ht  = 95119.91 +/- 60.09 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   1.854979,  18.780540,   108379.70,    97023.28,          0.026984,     40.95,     67.56,              42.55, 0.4573,    True,    True, {"ff_name": "FF_UK000C_20210813_230433_048_0265216.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,  25.797261,   7.454803,   108194.06,    95119.91,          0.037376,    109.73,     70.08,              23.16, 0.1546,    True,    True, {"ff_name": "FF_UK000S_20210813_230429_026_0262656.fits"}
    UK002H,   False,    -2.412630,    53.386080,   20.00,   0.007268,  36.132077,   108329.24,    97034.69,          0.015034,     45.16,      0.84,              75.94, 0.9409,    True,    True, {"ff_name": "FF_UK002H_20210813_230432_034_0244736.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,     UK000C,       0,  0.004329, 2459440.461547081824, 171.25395,  73.54011,              345.69681,  38.23368,       345.71103,       38.19067,    171.25395,     +73.54011,     171.13814,      +73.51013,  2415220.47, -3142768.33,  5117782.13,      52.425971,       -1.212430,  108379.70,  172900.56,       0.00,               70.69,    -0.08,      0.00,           64758.74,    114.79,     69.35,         159.99,  +3.48,  +2.29
  1,     UK000C,       0,  0.044213, 2459440.461547543760, 172.37049,  73.12717,              345.06779,  38.06528,       345.07034,       38.05779,    172.37049,     +73.12717,     172.35047,      +73.12206,  2414462.96, -3143705.87,  5115802.34,      52.413326,       -1.229536,  106982.66,  171182.99,    2317.83,             2247.14,  -263.87,  58114.38,           64758.74,     19.80,     11.99,          27.89,  +2.88,  +1.71
  2,     UK000C,       0,  0.084069, 2459440.461548004765, 173.69871,  72.58392,              344.27024,  37.83536,       344.25361,       37.88255,    173.69871,     +72.58392,     173.82463,      +72.61532,  2413513.45, -3144881.04,  5113320.71,      52.397464,       -1.250932,  105232.23,  169049.87,    5223.19,             5152.50,   202.97,  72896.34,           64758.74,   -123.52,    -75.03,         176.34,  +1.74,  +0.60
  3,     UK000C,       0,  0.123869, 2459440.461548465770, 175.01315,  72.17684,              343.56261,  37.72950,       343.56269,       37.72928,    175.01315,     +72.17684,     175.01295,      +72.17670,  2412725.83, -3145855.84,  5111262.22,      52.384298,       -1.268705,  103780.88,  167298.70,    7633.16,             7562.46,   177.84,  60551.96,           64758.74,      0.55,      0.34,           0.80,  +1.48,  +0.36
  4,     UK000C,       0,  0.163725, 2459440.461548926774, 176.08483,  71.73506,              342.89676,  37.56400,       342.89228,       37.57610,    176.08483,     +71.73506,     176.11722,      +71.74277,  2411974.14, -3146786.17,  5109297.63,      52.371724,       -1.285673,  102396.24,  165643.12,    9933.20,             9862.50,    39.36,  57708.78,           63199.60,    -31.18,    -18.90,          45.40,  +1.87,  +0.77
  5,     UK000C,       0,  0.203561, 2459440.461549387779, 177.22721,  71.26181,              342.17564,  37.39701,       342.17202,       37.40655,    177.22721,     +71.26181,     177.25282,      +71.26775,  2411179.17, -3147770.07,  5107219.92,      52.358417,       -1.303606,  100932.44,  163909.15,   12365.67,            12294.97,    34.53,  61062.05,           62448.75,    -24.37,    -14.77,          35.86,  +1.46,  +0.39
  6,     UK000C,       0,  0.243429, 2459440.461549849249, 178.13248,  70.84023,              341.56199,  37.23591,       341.55381,       37.25697,    178.13248,     +70.84023,     178.18789,      +70.85310,  2410507.91, -3148600.85,  5105465.56,      52.347175,       -1.318771,   99696.87,  162459.57,   14419.58,            14348.88,  -350.82,  51517.75,           61008.58,    -53.44,    -32.41,          79.35,  +1.31,  +0.26
  7,     UK000C,       0,  0.283265, 2459440.461550310254, 179.18800,  70.33997,              340.83140,  37.05118,       340.82197,       37.07488,    179.18800,     +70.33997,     179.24980,      +70.35413,  2409724.12, -3149570.92,  5103417.06,      52.334040,       -1.336449,   98254.67,  160783.28,   16817.86,            16747.16,  -389.84,  60203.87,           60341.57,    -59.66,    -36.18,          89.51,  +1.99,  +0.96
  8,     UK000C,       0,  0.323125, 2459440.461550771724, 180.06629,  69.89905,              340.19756,  36.88641,       340.18694,       36.91256,    180.06629,     +69.89905,     180.13395,      +69.91439,  2409054.67, -3150399.47,  5101667.40,      52.322814,       -1.351571,   97023.28,  159366.74,   18866.26,            18795.56,  -780.20,  51389.85,           59433.26,    -65.40,    -39.67,          99.00,  +1.84,  +0.83
  0,     UK000S,       0,  0.007354, 2459440.461547436658,  98.18423,  67.34105,               12.39354,  30.17171,        12.39066,       30.17821,     98.18423,     +67.34105,      98.18435,      +67.34802,  2415119.82, -3142892.90,  5117519.08,      52.424291,       -1.214809,  108194.06,  210121.43,       0.00,              237.26,   -18.59,      0.00,           60691.56,    -13.77,    -21.50,          25.07,  +4.04,  +2.43
  1,     UK000S,       0,  0.047510, 2459440.461547901388,  98.92176,  67.30182,               12.10106,  30.03615,        12.08260,       30.07733,     98.92176,     +67.30182,      98.92422,      +67.34598,  2414243.01, -3143978.09,  5115227.48,      52.409653,       -1.234583,  106577.12,  207641.36,    2682.88,             2920.15,   207.42,  66811.51,           60691.56,    -86.11,   -134.92,         159.00,  +2.71,  +1.12
  2,     UK000S,       0,  0.087602, 2459440.461548365653,  99.53602,  67.31124,               11.83996,  29.96459,        11.82706,       29.99324,     99.53602,     +67.31124,      99.53869,      +67.34198,  2413531.83, -3144858.29,  5113368.75,      52.397771,       -1.250651,  105266.10,  205633.21,    4858.99,             5096.26,   -69.44,  54277.88,           60691.56,    -59.43,    -92.98,         110.69,  +2.34,  +0.77
  3,     UK000S,       0,  0.127738, 2459440.461548829917, 100.26209,  67.28784,               11.54394,  29.84963,        11.52445,       29.89257,    100.26209,     +67.28784,     100.26757,      +67.33395,  2412704.02, -3145882.82,  5111205.23,      52.383933,       -1.269324,  103740.70,  203300.62,    7391.92,             7629.18,     7.83,  63108.55,           60691.56,    -88.11,   -138.03,         166.14,  +1.97,  +0.43
  4,     UK000S,       0,  0.167842, 2459440.461549294181, 100.93504,  67.29065,               11.25954,  29.76831,        11.24549,       29.79914,    100.93504,     +67.29065,     100.94015,      +67.32376,  2411956.89, -3146807.52,  5109252.56,      52.371435,       -1.286191,  102364.48,  201199.43,    9678.01,             9915.27,  -159.77,  57004.03,           59982.47,    -62.70,    -98.08,         119.35,  +2.05,  +0.53
  5,     UK000S,       0,  0.207978, 2459440.461549758911, 101.65640,  67.25786,               10.96691,  29.64942,        10.94481,       29.69748,    101.65640,     +67.25786,     101.66582,      +67.30951,  2411166.63, -3147785.59,  5107187.16,      52.358207,       -1.304020,  100909.35,  198981.64,   12096.07,            12333.33,  -197.37,  60246.67,           59817.57,    -96.70,   -151.51,         186.32,  +1.63,  +0.14
  6,     UK000S,       0,  0.248078, 2459440.461550222710, 102.38083,  67.26947,               10.65626,  29.57469,        10.64652,       29.59580,    102.38083,     +67.26947,     102.38622,      +67.29215,  2410398.35, -3148736.45,  5105179.22,      52.345339,       -1.321354,   99495.24,  196830.16,   14446.85,            14684.12,  -300.03,  58623.14,           59630.78,    -42.12,    -65.80,          81.87,  +1.56,  +0.09
  7,     UK000S,       0,  0.288238, 2459440.461550687440, 103.19340,  67.21420,               10.33029,  29.42850,        10.30687,       29.47876,    103.19340,     +67.21420,     103.20701,      +67.26822,  2409540.58, -3149798.08,  5102937.36,      52.330963,       -1.340686,   97917.04,  194433.86,   17071.50,            17308.76,  -132.51,  65354.71,           60030.44,    -99.03,   -155.13,         195.24,  +1.56,  +0.12
  8,     UK000S,       0,  0.328338, 2459440.461551151704, 103.93036,  67.22079,               10.01445,  29.35266,        10.00455,       29.37384,    103.93036,     +67.22079,     103.93756,      +67.24356,  2408794.05, -3150722.02,  5100986.26,      52.318442,       -1.357529,   96544.04,  192353.10,   19355.74,            19593.01,  -301.71,  56963.65,           60012.56,    -41.41,    -64.67,          82.35,  +1.76,  +0.34
  9,     UK000S,       0,  0.368478, 2459440.461551616434, 104.69918,  67.18023,                9.69937,  29.23062,         9.68469,       29.26180,    104.69918,     +67.18023,     104.71042,      +67.21372,  2408019.42, -3151680.74,  5098961.73,      52.305443,       -1.374998,   95119.91,  190199.17,   21725.95,            21963.22,  -387.40,  59048.63,           59950.85,    -60.31,    -94.26,         121.36,  +3.17,  +1.77
  0,     UK002H,       0,  0.000000, 2459440.461547072046, 335.24814,   7.07387,              142.44354,  38.09657,       142.46653,       38.12032,    335.24814,      +7.07387,     335.22228,       +7.08934,  2415193.11, -3142802.19,  5117710.63,      52.425514,       -1.213038,  108329.24,  173131.69,       0.00,               13.01,   207.09,      0.00,           58863.08,      1.64,    -90.20,         107.48,  +4.10,  +2.91
  1,     UK002H,       0,  0.081208, 2459440.461548011750, 334.36477,   5.73568,              144.08468,  37.16267,       144.06724,       37.14505,    334.36477,      +5.73568,     334.38429,       +5.72407,  2413583.12, -3144794.80,  5113502.82,      52.398629,       -1.249377,  105360.66,  172046.67,    4926.28,             4939.29,   164.79,  60662.49,           58863.08,     -1.29,     67.37,          80.79,  +2.45,  +1.27
  2,     UK002H,       0,  0.121788, 2459440.461548481602, 333.99180,   5.09143,              144.80081,  36.68814,       144.79736,       36.68469,    333.99180,      +5.09143,     333.99598,       +5.08915,  2412841.46, -3145712.73,  5111564.43,      52.386231,       -1.266126,  103993.91,  171591.91,    7195.64,             7208.65,   -48.67,  55923.13,           58863.08,     -0.25,     13.24,          15.92,  +2.67,  +1.50
  3,     UK002H,       0,  0.162388, 2459440.461548951454, 333.58236,   4.42525,              145.56050,  36.20149,       145.55505,       36.19609,    333.58236,      +4.42525,     333.58890,       +4.42166,  2412066.13, -3146672.32,  5109538.05,      52.373263,       -1.283626,  102565.66,  171147.78,    9568.02,             9581.03,  -160.33,  58432.93,           58863.08,     -0.40,     20.81,          25.08,  +1.82,  +0.65
  4,     UK002H,       0,  0.203068, 2459440.461549422238, 333.13382,   3.67153,              146.39254,  35.64088,       146.39368,       35.64200,    333.13382,      +3.67153,     333.13329,       +3.67227,  2411200.58, -3147743.57,  5107275.88,      52.358776,       -1.303140,  100971.85,  170690.32,   12216.45,            12229.46,    -0.84,  65103.99,           59660.18,      0.08,     -4.33,           5.23,  +1.49,  +0.33
  5,     UK002H,       0,  0.243736, 2459440.461549893022, 332.68069,   2.93109,              147.21376,  35.08914,       147.21246,       35.08788,    332.68069,      +2.93109,     332.68299,       +2.93024,  2410348.12, -3148798.62,  5105047.93,      52.344498,       -1.322358,   99402.82,  170278.94,   14824.81,            14837.82,   119.32,  64137.94,           60462.40,     -0.09,      4.90,           5.94,  +1.29,  +0.13
  6,     UK002H,       0,  0.284264, 2459440.461550361942, 332.30773,   2.34443,              147.87304,  34.65278,       147.86054,       34.64074,    332.30773,      +2.34443,     332.32237,       +2.33627,  2409668.74, -3149639.46,  5103272.31,      52.333111,       -1.337705,   98152.79,  169978.16,   16903.60,            16916.62,  -281.52,  51292.80,           59971.73,     -0.91,     46.97,          57.01,  +1.46,  +0.31
  7,     UK002H,       0,  0.324748, 2459440.461550830863, 331.98924,   1.80791,              148.44422,  34.24377,       148.43674,       34.23661,    331.98924,      +1.80791,     331.99858,       +1.80304,  2409060.87, -3150391.79,  5101683.62,      52.322918,       -1.351454,   97034.69,  169729.76,   18763.56,            18776.58,  -898.51,  45943.09,           58728.85,     -0.54,     28.01,          34.05,  +2.50,  +1.35

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.