Orbital Analysis for matched events on 20210929_013827.663_UK

Summary for Event
-----------------
shower ID 715 ACL
Lg 70.58° Bg 37.74° Vg 57.93km/s
mass 0.21512g, abs. mag -2.4
Path Details
------------
start 2.28° 51.44° 105.48km
end   2.22° 51.41° 85.31km

Orbit Details
-------------
Semimajor axis -35.69A.U., eccentricity 1.02, inclination 108.27°, Period 1000000000.00Y, LA Sun 185.84°, 

Full details below
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Detailed report below graphs

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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: 2459486.568375736475
Time: 2021-09-29 01:38:27.703865 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK002F
 Convergence angle = 14.77067 deg
 R.A. =  61.47580  Dec = +58.30905 deg

Best intersection: Stations UK002C and UK002F with Qconv = 14.77 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3320079.89 +/- 95.14 m
 Y =   2320026.08 +/- 421.94 m
 Z =   5048787.22 +/- 97.69 m
 Vx =    15416.34 +/- 823.86 m/s
 Vy =    26041.23 +/- 1499.33 m/s
 Vz =    50631.51 +/- 1240.20 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):
    UK000F: 0.000000 s
    UK002C: 0.000138 s
    UK002F: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 01:38:27.703865 UTC
  Lon     = ++2.287285 +/- 0.0056 deg
  Lat     = +51.446437 +/- 0.0007 deg
  Lat geo = +51.261845 +/- 0.0007 deg
  Ht      =  107543.77 +/- 179.19 m

  JD dynamic   = 2459486.569176943041 
  LST apparent = 34.9453195016 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  59.37458 +/- 1.8421 deg
  Dec       = +59.13334 +/- 0.8143 deg
  Azimuth   =  51.35069 +/- 3.3111 deg
  Elevation = +74.23567 +/- 0.8374 deg
  Vavg      =  57.15978 +/- 0.8515 km/s
  Vinit     =  58.98609 +/- 0.9220 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  59.88166 +/- 1.8421 deg
  Dec       = +59.03061 +/- 0.8143 deg
  Azimuth   =  52.00082 +/- 3.3111 deg
  Elevation = +74.01929 +/- 0.8374 deg
  Vavg      =  57.22316 +/- 0.8515 km/s
  Vinit     =  59.04947 +/- 0.9220 km/s
Radiant (geocentric, J2000):
  R.A.   =  59.18735 +/- 1.8475 deg
  Dec    = +59.11824 +/- 0.8223 deg
  Vg     =  57.93271 +/- 0.9379 km/s
  Vinf   =  58.98609 +/- 0.9220 km/s
  Zc     =  15.88026 +/- 0.8286 deg
  Zg     =  16.02426 +/- 0.8313 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  70.58144 +/- 0.9626 deg
  Bg     = +37.74022 +/- 1.0237 deg
  Vh     =  42.37754 +/- 0.2036 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  36.13901 +/- 3.2440 deg
  Bh     = +56.80458 +/- 1.1104 deg
  Vh_x   = -18.73731 +/- 0.3615 km/s
  Vh_y   = -13.68303 +/- 1.5617 km/s
  Vh_z   = -35.46186 +/- 0.3157 km/s
Orbit:
  La Sun = 185.843283 +/- nan deg
  a      = -35.694020 +/- 6.7683 AU
  e      =   1.021862 +/- 0.0160
  i      = 108.265086 +/- 2.4047 deg
  peri   = 235.768866 +/- 1.2829 deg
  node   = 185.844442 +/- 0.0000 deg
  Pi     =  61.613308 +/- 1.2830 deg
  q      =   0.780326 +/- 0.0078 AU
  f      = 304.230249 +/- 1.2829 deg
  M      =        nan +/- nan deg
  Q      = -72.168366 +/- 13.5299 AU
  n      =   0.004622 +/- 0.0072 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -0.490932 +/- 0.1484
Shower association:
  IAU No.  =  715
  IAU code =  ACL

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 = 0.157138
 a2 = 19.353306

Mean time residuals from time vs. length:
  Station with reference time: UK002F
  Avg. res. = 3.656e-06 s
  Stddev    = 1.91e-03 s

Begin point on the trajectory:
  Lon =     2.280858 +/- 0.0049 deg
  Lat =    51.443225 +/- 0.0006 deg
  Ht  = 105483.49 +/- 150.04 m
End point on the trajectory:
  Lon =     2.216225 +/- 0.0031 deg
  Lat =    51.411645 +/- 0.0004 deg
  Ht  = 85310.59 +/- 78.06 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,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   108391.93,    88390.01,          0.210303,       nan,       nan,              54.20, 0.0000,    True,    True, {"ff_name": "FF_UK000F_20210929_013819_950_0653312.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.535591,  16.064635,    98662.85,    85310.59,          0.013992,     63.88,     33.63,              53.65, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210929_013827_796_0650752.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   105483.49,    85602.83,          0.011618,     40.49,     36.88,              54.20, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210929_013820_523_0652288.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,       1, -0.011486, 2459486.568375603762, 100.53250,  11.43249,               99.40364,  21.77616,        99.60176,       21.82391,    100.53250,     +11.43249,     100.35512,      +11.35568,  3320310.22,  2320415.16,  5049543.70,      51.447759,       +2.290146,  108391.93,  277594.83,       0.00,              881.30,  2070.40,     -0.00,           57284.89,   -617.48,    683.01,         684.16,  +5.14,  +2.92
  1,     UK000F,       1,  0.028882, 2459486.568376070820, 100.71595,  11.04601,               99.50994,  21.36147,        99.71827,       21.41166,    100.71595,     +11.04601,     100.52932,      +10.96512,  3319666.52,  2319327.82,  5047429.60,      51.444065,       +2.282585,  106021.63,  276240.34,    2462.94,             1581.63,   389.58,  61012.10,           57284.89,   -647.72,    716.73,         721.33,  +1.69,  -0.52
  2,     UK000F,       1,  0.069194, 2459486.568376537412, 100.89584,  10.72253,               99.57632,  20.99813,        99.81827,       21.05636,    100.89584,     +10.72253,     100.67898,      +10.62843,  3319116.63,  2318398.94,  5045623.60,      51.440906,       +2.276097,  103996.81,  275093.91,    4566.94,             3685.64,   115.73,  52192.94,           57284.89,   -750.23,    831.25,         839.58,  +1.09,  -1.11
  3,     UK000F,       1,  0.109570, 2459486.568377004471, 101.05757,  10.32349,               99.70693,  20.58630,        99.93439,       20.64106,    101.05757,     +10.32349,     100.85354,      +10.23493,  3318479.94,  2317323.45,  5043532.55,      51.437246,       +2.268609,  101652.44,  273782.46,    7003.03,             6121.73,   170.21,  60335.26,           57284.89,   -704.03,    779.58,         791.39,  +0.80,  -1.39
  4,     UK000F,       1,  0.149938, 2459486.568377471995, 101.21872,   9.93056,               99.83290,  20.17933,       100.04836,       20.23122,    101.21872,      +9.93056,     101.02534,       +9.84659,  3317857.60,  2316272.20,  5041488.60,      51.433666,       +2.261281,   99360.93,  272515.29,    9384.25,             8502.94,   170.27,  58987.62,           57761.19,   -665.65,    736.70,         751.51,  +0.60,  -1.58
  5,     UK000F,       1,  0.190282, 2459486.568377938587, 101.38813,   9.56661,               99.93204,  19.78990,       100.15561,       19.84372,    101.38813,      +9.56661,     101.18735,       +9.47936,  3317274.44,  2315287.13,  5039573.35,      51.430308,       +2.254400,   97213.75,  271340.89,   11615.53,            10734.23,    21.81,  55306.39,           57546.62,   -689.17,    762.95,         781.55,  +0.11,  -2.06
  6,     UK000F,       1,  0.230650, 2459486.568378406111, 101.53478,   9.17140,              100.06952,  19.38947,       100.26751,       19.43716,    101.53478,      +9.17140,     101.35694,       +9.09408,  3316668.10,  2314262.90,  5037581.97,      51.426814,       +2.247249,   94981.26,  270134.38,   13935.50,            13054.20,   -39.36,  57470.61,           57461.84,   -609.43,    673.96,         693.81,  +0.10,  -2.06
  7,     UK000F,       1,  0.271030, 2459486.568378873169, 101.75703,   8.77904,              100.14186,  18.94509,       100.38610,       19.00383,    101.75703,      +8.77904,     101.53729,       +8.68345,  3316027.91,  2313181.48,  5035479.38,      51.423122,       +2.239704,   92624.16,  268877.02,   16385.03,            15503.73,    28.31,  60661.99,           57693.37,   -749.37,    830.21,         857.96,  -0.17,  -2.32
  8,     UK000F,       1,  0.311386, 2459486.568379340693, 101.88220,   8.39168,              100.29005,  18.56341,       100.49280,       18.61224,    101.88220,      +8.39168,     101.69986,       +8.31230,  3315454.39,  2312212.70,  5033595.79,      51.419812,       +2.232924,   90512.61,  267763.53,   18579.43,            17698.13,  -157.74,  54375.95,           57580.24,   -621.46,    687.35,         713.81,  -0.18,  -2.32
  9,     UK000F,       1,  0.351742, 2459486.568379807752, 102.04640,   8.01534,              100.39811,  18.16652,       100.60046,       18.21524,    102.04640,      +8.01534,     101.86433,       +7.93602,  3314877.86,  2311238.83,  5031702.32,      51.416482,       +2.226105,   88390.01,  266657.83,   20785.34,            19904.03,  -332.27,  54661.24,           57363.44,   -619.02,    684.61,         713.93,  +0.80,  -1.33
  0,     UK002C,       0,  0.164360, 2459486.568377637304, 112.06934,  15.90502,               86.60296,  17.80480,        86.59590,       17.80342,    112.06934,     +15.90502,     112.07628,      +15.90833,  3317668.01,  2315951.94,  5040865.93,      51.432574,       +2.259039,   98662.85,  301480.80,       0.00,             9228.36,    45.01,      0.00,           57377.21,     16.84,    -31.93,          24.70,  +0.74,  -1.66
  1,     UK002C,       0,  0.204700, 2459486.568378103897, 112.26556,  15.55654,               86.68881,  17.41696,        86.67917,       17.41508,    112.26556,     +15.55654,     112.27496,      +15.56106,  3317024.75,  2314865.35,  5038753.30,      51.428870,       +2.251466,   96294.41,  300161.88,    2461.23,            11689.59,   126.75,  61012.19,           57377.21,     22.94,    -43.50,          33.79,  +0.98,  -1.41
  2,     UK002C,       0,  0.245012, 2459486.568378570490, 112.46907,  15.24724,               86.74158,  17.05417,        86.75567,       17.05690,    112.46907,     +15.24724,     112.45760,      +15.24062,  3316436.34,  2313871.41,  5036820.79,      51.425478,       +2.244520,   94127.95,  298967.14,    4712.61,            13940.97,     0.28,  55848.90,           57377.21,    -33.44,     63.48,          49.50,  +0.70,  -1.68
  3,     UK002C,       0,  0.285328, 2459486.568379037082, 112.64094,  14.91850,               86.83102,  16.69600,        86.83239,       16.69627,    112.64094,     +14.91850,     112.64092,      +14.91786,  3315848.63,  2312878.65,  5034890.59,      51.422088,       +2.237579,   91964.10,  297786.06,    6961.32,            16189.68,  -129.10,  55776.97,           57377.21,     -3.24,      6.16,           4.82,  +0.68,  -1.69
  4,     UK002C,       0,  0.325668, 2459486.568379504140, 112.84367,  14.57011,               86.90904,  16.30329,        86.91538,       16.30452,    112.84367,     +14.57011,     112.83941,      +14.56713,  3315215.58,  2311809.30,  5032811.47,      51.418433,       +2.230111,   89633.38,  296528.58,    9383.50,            18611.86,   -86.41,  60044.27,           57699.90,    -14.97,     28.41,          22.34,  +0.38,  -1.98
  5,     UK002C,       0,  0.365984, 2459486.568379970733, 113.02725,  14.24255,               86.98698,  15.93818,        86.99247,       15.93925,    113.02725,     +14.24255,     113.02390,      +14.23997,  3314630.03,  2310820.20,  5030888.39,      51.415049,       +2.223187,   87477.61,  295377.59,   11623.91,            20852.27,  -224.09,  55571.19,           57488.04,    -12.94,     24.56,          19.39,  +0.65,  -1.70
  6,     UK002C,       0,  0.406308, 2459486.568380437326, 113.23685,  13.92334,               87.03847,  15.56299,        87.07028,       15.56917,    113.23685,     +13.92334,     113.21027,      +13.90838,  3314041.43,  2309825.93,  5028955.24,      51.411645,       +2.216225,   85310.59,  294233.33,   13876.05,            23104.41,  -350.51,  55851.03,           57236.98,    -74.76,    142.04,         112.52,  +1.01,  -1.33
  0,     UK002F,       1,  0.000000, 2459486.568375736475, 100.44276,  11.22707,               99.61518,  21.66977,        99.64341,       21.67661,    100.44276,     +11.22707,     100.41746,      +11.21616,  3320079.59,  2320025.58,  5048786.24,      51.446436,       +2.287450,  107542.67,  277108.56,       0.00,                1.14,   512.72,      0.00,           54957.45,    -88.26,     96.96,          97.60,  +4.64,  +2.43
  1,     UK002F,       0,  0.040248, 2459486.568376202136, 100.57250,  10.87750,               99.74073,  21.31655,        99.74482,       21.31754,    100.57250,     +10.87750,     100.56899,      +10.87592,  3319520.38,  2319080.95,  5046949.62,      51.443225,       +2.280858,  105483.49,  275934.38,    2139.67,             2140.81,   278.33,  53162.25,           54957.45,    -12.77,     14.02,          14.18,  +1.50,  -0.70
  2,     UK002F,       0,  0.080544, 2459486.568376668729, 100.75151,  10.51623,               99.83239,  20.92393,        99.85389,       20.92914,    100.75151,     +10.51623,     100.73252,      +10.50790,  3318920.97,  2318068.44,  5044981.01,      51.439782,       +2.273801,  103276.36,  274689.53,    4433.13,             4434.27,   194.87,  56915.13,           54957.45,    -66.96,     73.54,          74.68,  +0.77,  -1.42
  3,     UK002F,       0,  0.120808, 2459486.568377134856, 100.89853,  10.15932,               99.94672,  20.55397,        99.95796,       20.55669,    100.89853,     +10.15932,     100.88891,      +10.15496,  3318351.25,  2317106.07,  5043109.89,      51.436506,       +2.267081,  101178.58,  273518.43,    6612.98,             6614.12,    -0.28,  54139.13,           54957.45,    -34.97,     38.39,          39.16,  +0.45,  -1.73
  4,     UK002F,       0,  0.161100, 2459486.568377600983, 101.06250,   9.77718,              100.06275,  20.15362,       100.06950,       20.15526,    101.06250,      +9.77718,     101.05709,       +9.77457,  3317742.77,  2316078.22,  5041111.46,      51.433005,       +2.259913,   98938.12,  272282.13,    8941.17,             8942.31,   -48.77,  57782.83,           55506.26,    -20.93,     22.97,          23.54,  +0.19,  -1.99
  5,     UK002F,       0,  0.201408, 2459486.568378067575, 101.23984,   9.37941,              100.17702,  19.73260,       100.18568,       19.73470,    101.23984,      +9.37941,     101.23286,       +9.37605,  3317111.30,  2315011.55,  5039037.55,      51.429368,       +2.252475,   96613.07,  271014.76,   11357.30,            11358.44,   -10.25,  59941.72,           56297.20,    -26.81,     29.43,          30.30,  +0.25,  -1.91
  6,     UK002F,       0,  0.241728, 2459486.568378534168, 101.42053,   8.95774,              100.30310,  19.29044,       100.30740,       19.29148,    101.42053,      +8.95774,     101.41765,       +8.95607,  3316452.28,  2313898.33,  5036873.14,      51.425570,       +2.244717,   94186.63,  269709.34,   13878.85,            13879.99,   132.99,  62538.50,           57248.98,    -13.28,     14.58,          15.08,  +0.02,  -2.13
  7,     UK002F,       0,  0.282004, 2459486.568379000295, 101.57244,   8.59072,              100.41637,  18.90862,       100.41237,       18.90765,    101.57244,      +8.59072,     101.57724,       +8.59228,  3315886.56,  2312942.72,  5035015.16,      51.422306,       +2.238029,   92103.75,  268601.08,   16043.41,            16044.55,   -78.18,  53743.16,           57353.28,     12.32,    -13.52,          14.05,  +0.03,  -2.12
  8,     UK002F,       0,  0.322312, 2459486.568379466888, 101.75873,   8.20954,              100.50967,  18.49455,       100.52382,       18.49798,    101.75873,      +8.20954,     101.74724,       +8.20401,  3315287.98,  2311931.61,  5033049.27,      51.418851,       +2.230959,   89899.95,  267443.19,   18333.68,            18334.82,  -165.52,  56819.27,           57366.32,    -43.54,     47.80,          49.86,  -0.24,  -2.38
  9,     UK002F,       0,  0.362632, 2459486.568379933480, 101.93542,   7.78337,              100.63905,  18.05055,       100.64449,       18.05186,    101.93542,      +7.78337,     101.93199,       +7.78124,  3314642.18,  2310840.72,  5030928.27,      51.415119,       +2.223341,   87522.33,  266211.30,   20804.67,            20805.81,   -72.86,  61284.28,           57586.85,    -16.71,     18.34,          19.22,  -0.19,  -2.32
 10,     UK002F,       0,  0.402904, 2459486.568380399607, 102.09920,   7.44523,              100.72157,  17.68377,       100.74239,       17.68881,    102.09920,      +7.44523,     102.08195,       +7.43709,  3314120.81,  2309960.02,  5029215.95,      51.412105,       +2.217155,   85602.83,  265227.33,   22799.54,            22800.68,  -453.47,  49534.89,           57341.29,    -63.78,     70.04,          73.67,  +0.23,  -1.89

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.