Orbital Analysis for matched events on 20210816_224341.521_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 69.44° Bg 37.10° Vg 60.58km/s
mass 0.03689g, abs. mag -0.5
Path Details
------------
start -0.97° 52.43° 110.37km
end   -1.17° 52.25° 94.03km

Orbit Details
-------------
Semimajor axis -25.70A.U., eccentricity 1.04, inclination 115.16°, Period 1000000000.00Y, LA Sun 143.98°, 

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: 2459443.447008347604
Time: 2021-08-16 22:43:41.561225 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK000S
 Convergence angle = 27.76140 deg
 R.A. =  57.43405  Dec = +58.56856 deg

Best intersection: Stations UK000C and UK000S with Qconv = 27.76 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2302707.18 +/- 49.53 m
 Y =  -3227249.49 +/- 102.41 m
 Z =   5120759.14 +/- 257.78 m
 Vx =    17141.42 +/- 189.74 m/s
 Vy =    27021.34 +/- 140.27 m/s
 Vz =    52620.13 +/- 227.95 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK000C: 0.002068 s
    UK000S: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 22:43:41.561225 UTC
  Lon     = +-0.954970 +/- 0.0014 deg
  Lat     = +52.435544 +/- 0.0018 deg
  Lat geo = +52.252606 +/- 0.0018 deg
  Ht      =  111302.50 +/- 167.75 m

  JD dynamic   = 2459443.447809551377 
  LST apparent = 305.5086182313 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  57.61035 +/- 0.1659 deg
  Dec       = +58.69510 +/- 0.1311 deg
  Azimuth   =  35.46198 +/- 0.1790 deg
  Elevation = +33.92319 +/- 0.0496 deg
  Vavg      =  60.06169 +/- 0.3892 km/s
  Vinit     =  61.58620 +/- 0.1817 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  57.41721 +/- 0.1659 deg
  Dec       = +58.48252 +/- 0.1311 deg
  Azimuth   =  35.72512 +/- 0.1790 deg
  Elevation = +33.83603 +/- 0.0496 deg
  Vavg      =  60.20138 +/- 0.3892 km/s
  Vinit     =  61.72589 +/- 0.1817 km/s
Radiant (geocentric, J2000):
  R.A.   =  57.82408 +/- 0.1675 deg
  Dec    = +58.26058 +/- 0.1309 deg
  Vg     =  60.57858 +/- 0.1847 km/s
  Vinf   =  61.58620 +/- 0.1817 km/s
  Zc     =  56.22588 +/- 0.0494 deg
  Zg     =  56.73081 +/- 0.0497 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  69.43800 +/- 0.1469 deg
  Bg     = +37.09779 +/- 0.1056 deg
  Vh     =  42.27153 +/- 0.1614 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  90.13870 +/- 0.4420 deg
  Bh     = +59.81475 +/- 0.1296 deg
  Vh_x   =   0.05145 +/- 0.1616 km/s
  Vh_y   = -21.25395 +/- 0.1394 km/s
  Vh_z   = -36.53969 +/- 0.1270 km/s
Orbit:
  La Sun = 143.980371 +/- -0.0000 deg
  a      = -25.702182 +/- 280.5234 AU
  e      =   1.035988 +/- 0.0142
  i      = 115.155907 +/- 0.2346 deg
  peri   = 146.105757 +/- 0.3647 deg
  node   = 143.978852 +/- 0.0000 deg
  Pi     = 290.084609 +/- 0.3647 deg
  q      =   0.924964 +/- 0.0014 AU
  f      =  33.890137 +/- 0.3647 deg
  M      =        nan +/- nan deg
  Q      = -52.329327 +/- 561.0465 AU
  n      =   0.007564 +/- 0.0037 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -0.713899 +/- 0.0834
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 28.572911
 a2 = 6.462272

Mean time residuals from time vs. length:
  Station with reference time: UK000S
  Avg. res. = 4.979e-06 s
  Stddev    = 2.23e-03 s

Begin point on the trajectory:
  Lon =    -0.966552 +/- 0.0007 deg
  Lat =    52.425604 +/- 0.0014 deg
  Ht  = 110373.52 +/- 130.82 m
End point on the trajectory:
  Lon =    -1.172631 +/- 0.0004 deg
  Lat =    52.249533 +/- 0.0011 deg
  Ht  = 94027.41 +/- 92.92 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,  16.472443,   7.925249,   107426.02,    94362.31,          0.006077,      7.10,     14.87,              34.11, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20210816_224337_531_0245504.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,  31.586962,   5.921937,   110373.52,    94027.41,          0.010325,     29.22,     21.66,              14.59, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210816_224341_382_0237824.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,       1,  0.040762, 2459443.447008798365, 151.38272,  77.14129,              352.83775,  39.41462,       352.83848,       39.40302,    151.38272,     +77.14129,     151.36224,      +77.13062,  2302243.92, -3227979.76,  5119337.04,      52.425607,       -0.966545,  110373.75,  171656.00,       0.00,             1664.42,  -389.46,      0.00,           65015.55,     31.41,     14.99,          41.82,  +4.00,  +2.83
  1,     UK000C,       1,  0.080530, 2459443.447009258904, 153.63757,  76.92717,              352.12705,  39.39984,       352.12895,       39.37378,    153.63757,     +76.92717,     153.58831,      +76.90360,  2301449.59, -3229231.93,  5116898.63,      52.408558,       -0.986561,  108781.94,  169309.33,    2853.90,             4518.32,    15.28,  71763.81,           65015.55,     69.62,     33.18,          93.96,  +1.85,  +0.71
  2,     UK000C,       0,  0.120354, 2459443.447009719908, 155.47772,  76.69188,              351.50819,  39.34708,       351.50839,       39.34464,    155.47772,     +76.69188,     155.47333,      +76.68971,  2300772.64, -3230299.05,  5114820.56,      52.394019,       -1.003639,  107426.02,  167322.23,    5286.06,             6950.48,    -5.17,  61072.66,           65015.55,      6.46,      3.08,           8.82,  +1.65,  +0.53
  3,     UK000C,       0,  0.160150, 2459443.447010180447, 157.41543,  76.44813,              350.84820,  39.31104,       350.84830,       39.30999,    157.41543,     +76.44813,     157.41389,      +76.44721,  2300068.89, -3231408.42,  5112660.23,      52.378895,       -1.021382,  106017.09,  165269.19,    7814.49,             9478.91,    72.38,  63534.82,           65015.55,      2.75,      1.31,           3.80,  +1.10,  +0.01
  4,     UK000C,       0,  0.199954, 2459443.447010640986, 159.24717,  76.18899,              350.19851,  39.26647,       350.19793,       39.27216,    159.24717,     +76.18899,     159.26031,      +76.19388,  2299391.67, -3232475.99,  5110581.30,      52.364333,       -1.038459,  104661.87,  163306.32,   10247.66,            11912.08,    54.17,  61128.72,           63958.60,    -14.68,     -7.01,          20.55,  +0.71,  -0.36
  5,     UK000C,       0,  0.239758, 2459443.447011101991, 160.96543,  75.93724,              349.57469,  39.23123,       349.57455,       39.23245,    160.96543,     +75.93724,     160.96915,      +75.93828,  2298757.05, -3233476.38,  5108633.19,      52.350679,       -1.054468,  103392.48,  161478.83,   12527.71,            14192.13,  -117.16,  57281.98,           62702.75,     -3.12,     -1.49,           4.42,  +0.51,  -0.53
  6,     UK000C,       0,  0.279542, 2459443.447011562064, 162.76721,  75.65744,              348.90104,  39.19571,       348.90222,       39.18586,    162.76721,     +75.65744,     162.74581,      +75.64928,  2298087.18, -3234532.35,  5106576.83,      52.336259,       -1.071354,  102053.16,  159562.51,   14934.45,            16598.87,  -160.56,  60495.15,           62017.86,     24.87,     11.87,          35.63,  +0.45,  -0.56
  7,     UK000C,       0,  0.319334, 2459443.447012022603, 164.52682,  75.33879,              348.20374,  39.13751,       348.20429,       39.13333,    164.52682,     +75.33879,     164.51836,      +75.33539,  2297407.34, -3235604.03,  5104489.89,      52.321615,       -1.088484,  100694.52,  157631.57,   17377.00,            19041.42,  -168.65,  61382.89,           61679.56,     10.44,      4.98,          15.14,  +0.16,  -0.83
  8,     UK000C,       0,  0.359142, 2459443.447012483608, 166.08644,  75.02584,              347.55560,  39.07391,       347.55467,       39.08060,    166.08644,     +75.02584,     166.10384,      +75.03117,  2296788.68, -3236579.28,  5102590.73,      52.308282,       -1.104084,   99458.66,  155887.17,   19599.76,            21264.18,  -397.52,  55837.06,           61132.07,    -16.53,     -7.90,          24.23,  +0.19,  -0.77
  9,     UK000C,       0,  0.398918, 2459443.447012943681, 167.80202,  74.68091,              346.83073,  39.01952,       346.83103,       39.01753,    167.80202,     +74.68091,     167.79888,      +74.67936,  2296113.83, -3237643.10,  5100519.10,      52.293729,       -1.121082,   98111.18,  153998.41,   22024.37,            23688.79,  -422.56,  60956.63,           60843.80,      4.86,      2.32,           7.21,  +0.18,  -0.76
 10,     UK000C,       0,  0.438690, 2459443.447013404220, 169.43627,  74.32592,              346.11058,  38.96177,       346.11240,       38.95035,    169.43627,     +74.32592,     169.41028,      +74.31722,  2295458.54, -3238676.08,  5098507.51,      52.279590,       -1.137588,   96803.32,  152179.14,   24378.72,            26043.14,  -517.61,  59196.24,           60611.72,     27.57,     13.16,          41.40,  -0.25,  -1.16
 11,     UK000C,       0,  0.478482, 2459443.447013864759, 170.94950,  73.94727,              345.39717,  38.88191,       345.39766,       38.87902,    170.94950,     +73.94727,     170.94441,      +73.94511,  2294820.81, -3239681.38,  5096549.85,      52.265823,       -1.153652,   95531.08,  150423.13,   26669.96,            28334.37,  -677.02,  57580.24,           60361.23,      6.89,      3.29,          10.47,  -0.02,  -0.91
 12,     UK000C,       0,  0.518278, 2459443.447014325298, 172.34106,  73.59123,              344.72552,  38.81559,       344.72688,       38.80796,    172.34106,     +73.59123,     172.32441,      +73.58565,  2294234.72, -3240605.28,  5094750.69,      52.253163,       -1.168426,   94362.31,  148822.45,   28775.68,            30440.10, -1022.18,  52912.96,           59964.27,     18.06,      8.62,          27.73,  +3.13,  +2.27
  0,     UK000S,       1,  0.000000, 2459443.447008347604,  85.70559,  65.32038,               17.65311,  29.98933,        17.64235,       30.02795,     85.70559,     +65.32038,      85.68298,      +65.35898,  2302635.74, -3227362.11,  5120539.84,      52.434012,       -0.956589,  111159.26,  216663.51,       0.00,              256.68,   713.19,      0.00,           57329.25,    -89.09,   -120.99,         143.04,  +6.05,  +4.37
  1,     UK000S,       0,  0.040008, 2459443.447008810472,  85.90911,  65.38245,               17.53317,  30.00570,        17.53295,       30.00651,     85.90911,     +65.38245,      85.90880,      +65.38326,  2302243.80, -3227979.94,  5119336.69,      52.425604,       -0.966552,  110373.52,  215297.98,    1408.16,             1664.84,  -342.59,  35196.90,           57329.25,     -1.87,     -2.52,           3.00,  +3.89,  +2.22
  2,     UK000S,       0,  0.080072, 2459443.447009274270,  86.35540,  65.44332,               17.31025,  29.97557,        17.31399,       29.96211,     86.35540,     +65.44332,      86.36342,      +65.42984,  2301461.70, -3229212.84,  5116935.81,      52.408818,       -0.986264,  108806.20,  212577.96,    4218.12,             4474.80,    -0.02,  70136.92,           57329.25,     30.63,     41.26,          49.86,  +1.94,  +0.30
  3,     UK000S,       0,  0.120152, 2459443.447009738069,  86.77976,  65.47013,               17.11463,  29.92025,        17.11431,       29.92140,     86.77976,     +65.47013,      86.77962,      +65.47128,  2300766.24, -3230309.15,  5114800.91,      52.393881,       -1.003806,  107413.21,  210161.04,    6716.80,             6973.48,    30.28,  62342.20,           57329.25,     -2.58,     -3.48,           4.26,  +1.70,  +0.09
  4,     UK000S,       0,  0.160208, 2459443.447010201868,  87.18494,  65.52548,               16.91263,  29.89497,        16.91661,       29.88080,     87.18494,     +65.52548,      87.19329,      +65.51125,  2300092.90, -3231370.58,  5112733.92,      52.379411,       -1.020791,  106065.14,  207822.88,    9135.99,             9392.66,   -17.43,  60395.11,           58870.70,     31.54,     42.46,          52.50,  +1.42,  -0.17
  5,     UK000S,       0,  0.200296, 2459443.447010665666,  87.63206,  65.54244,               16.71235,  29.82856,        16.70968,       29.83793,     87.63206,     +65.54244,      87.62801,      +65.55188,  2299403.11, -3232457.95,  5110616.42,      52.364579,       -1.038183,  104684.76,  205429.72,   11614.29,            11870.97,    -7.99,  61821.68,           59732.93,    -20.59,    -27.81,          34.74,  +1.19,  -0.37
  6,     UK000S,       0,  0.240364, 2459443.447011129465,  88.07680,  65.58681,               16.49925,  29.78825,        16.49771,       29.79363,     88.07680,     +65.58681,      88.07508,      +65.59224,  2298712.20, -3233547.09,  5108495.49,      52.349714,       -1.055598,  103302.78,  203034.88,   14096.61,            14353.29,     6.70,  61952.71,           60278.62,    -11.69,    -15.78,          19.96,  +1.20,  -0.34
  7,     UK000S,       0,  0.280444, 2459443.447011593264,  88.50473,  65.60811,               16.30493,  29.73119,        16.29894,       29.75186,     88.50473,     +65.60811,      88.49580,      +65.62901,  2298079.23, -3234544.89,  5106552.42,      52.336087,       -1.071563,  102037.25,  200842.60,   16370.77,            16627.45,  -187.52,  56740.37,           60210.96,    -44.42,    -60.07,          76.73,  +1.15,  -0.36
  8,     UK000S,       0,  0.320504, 2459443.447012057062,  88.93762,  65.65880,               16.09406,  29.70080,        16.09197,       29.70798,     88.93762,     +65.65880,      88.93555,      +65.66608,  2297433.71, -3235562.46,  5104570.83,      52.322183,       -1.087838,  100747.20,  198608.95,   18690.00,            18946.68,  -335.43,  57893.93,           60024.94,    -15.29,    -20.63,          26.67,  +0.98,  -0.51
  9,     UK000S,       0,  0.360584, 2459443.447012520861,  89.42679,  65.70098,               15.86335,  29.65403,        15.86199,       29.65868,     89.42679,     +65.70098,      89.42617,      +65.70570,  2296731.45, -3236669.49,  5102415.06,      52.307048,       -1.105525,   99344.38,  196181.61,   21213.10,            21469.78,  -280.71,  62951.61,           60089.94,     -9.80,    -13.22,          17.30,  +0.97,  -0.49
 10,     UK000S,       0,  0.400636, 2459443.447012984660,  89.84504,  65.75130,               15.65940,  29.62805,        15.66298,       29.61587,     89.84504,     +65.75130,      89.85213,      +65.73893,  2296138.66, -3237603.95,  5100595.33,      52.294265,       -1.120477,   98160.74,  194134.21,   23342.90,            23599.58,  -617.56,  53175.83,           59811.25,     25.39,     34.17,          45.23,  +0.93,  -0.51
 11,     UK000S,       0,  0.440736, 2459443.447013448924,  90.37408,  65.76919,               15.42333,  29.55487,        15.42089,       29.56308,     90.37408,     +65.76919,      90.37246,      +65.77755,  2295431.23, -3238719.13,  5098423.69,      52.279001,       -1.138285,   96748.83,  191693.92,   25884.57,            26141.25,  -545.49,  63383.37,           59787.95,    -16.91,    -22.81,          30.55,  +0.34,  -1.07
 12,     UK000S,       0,  0.480820, 2459443.447013912722,  90.91283,  65.80605,               15.17408,  29.49883,        15.17129,       29.50813,     90.91283,     +65.80605,      90.91111,      +65.81555,  2294719.40, -3239841.24,  5096238.54,      52.263633,       -1.156197,   95328.83,  189241.31,   28442.05,            28698.73,  -456.63,  63803.02,           59906.30,    -18.91,    -25.51,          34.61,  +0.73,  -0.66
 13,     UK000S,       0,  0.520896, 2459443.447014376521,  91.41764,  65.84869,               14.93688,  29.45513,        14.93659,       29.45609,     91.41764,     +65.84869,      91.41944,      +65.84968,  2294066.72, -3240870.11,  5094234.96,      52.249533,       -1.172631,   94027.41,  186994.87,   30787.03,            31043.70,  -579.79,  58513.22,           59940.87,     -1.94,     -2.61,           3.59,  +2.21,  +0.85

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.