Orbital Analysis for matched events on 20210929_210120.077_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 281.48° Bg 81.88° Vg 21.43km/s
mass 0.01601g, abs. mag 2.3
Path Details
------------
start -0.91° 53.00° 85.93km
end   -0.85° 52.97° 76.14km

Orbit Details
-------------
Semimajor axis 3.58A.U., eccentricity 0.72, inclination 32.94°, Period 6.78Y, LA Sun 186.64°, last Perihelion 2014-12-22

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: 2459487.375926825684
Time: 2021-09-29 21:01:20.114713 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK002Z
 Convergence angle = 75.42646 deg
 R.A. = 277.33833  Dec = +59.30692 deg
Intersection 2 - Stations: UK000Z and UK0035
 Convergence angle = 31.89527 deg
 R.A. = 276.92456  Dec = +59.22252 deg
Intersection 3 - Stations: UK002Z and UK0035
 Convergence angle = 72.67851 deg
 R.A. = 277.19225  Dec = +59.40859 deg

Best intersection: Stations UK000Z and UK002Z with Qconv = 75.43 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3124217.66 +/- 23.81 m
 Y =  -2332591.76 +/- 29.31 m
 Z =   5139775.88 +/- 28.97 m
 Vx =     1354.80 +/- 77.03 m/s
 Vy =   -12425.66 +/- 25.52 m/s
 Vz =    20658.88 +/- 166.88 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.826681e+02, -3.723717e+02, +5.558153e+02, +1.427670e+03, +9.165319e+02, -1.562598e+03
-3.723717e+02, +9.116469e+02, -5.057669e+02, -8.263846e+02, +1.971183e+03, -2.111093e+02
+5.558153e+02, -5.057669e+02, +8.864934e+02, +1.090207e+03, +7.164662e+02, -1.287563e+03
+1.427670e+03, -8.263846e+02, +1.090207e+03, +3.947783e+03, +2.786682e+03, -4.527892e+03
+9.165319e+02, +1.971183e+03, +7.164662e+02, +2.786682e+03, +1.552078e+04, -1.213747e+04
-1.562598e+03, -2.111093e+02, -1.287563e+03, -4.527892e+03, -1.213747e+04, +1.355258e+04

Timing offsets (from input data):
    UK000Z: -0.000080 s
    UK002Z: 0.000000 s
    UK0035: -0.001463 s

Reference point on the trajectory:
  Time: 2021-09-29 21:01:20.114713 UTC
  Lon     = +-0.918002 +/- 0.0003 deg
  Lat     = +52.999375 +/- 0.0001 deg
  Lat geo = +52.816723 +/- 0.0001 deg
  Ht      =   86693.12 +/- 39.97 m

  JD dynamic   = 2459487.376727994531 
  LST apparent = 323.2543826987 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 276.22252 +/- 0.3178 deg
  Dec       = +58.82468 +/- 0.1502 deg
  Azimuth   = 301.61091 +/- 0.3346 deg
  Elevation = +63.59066 +/- 0.1654 deg
  Vavg      =  22.38867 +/- 0.0339 km/s
  Vinit     =  24.14584 +/- 0.1570 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 277.12578 +/- 0.3178 deg
  Dec       = +59.24581 +/- 0.1502 deg
  Azimuth   = 302.42423 +/- 0.3346 deg
  Elevation = +64.10527 +/- 0.1654 deg
  Vavg      =  22.28241 +/- 0.0339 km/s
  Vinit     =  24.03959 +/- 0.1570 km/s
Radiant (geocentric, J2000):
  R.A.   = 273.09024 +/- 0.3059 deg
  Dec    = +58.56614 +/- 0.1570 deg
  Vg     =  21.43484 +/- 0.1774 km/s
  Vinf   =  24.14584 +/- 0.1570 km/s
  Zc     =  26.50550 +/- 0.1653 deg
  Zg     =  28.11059 +/- 0.1589 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 281.48176 +/- 1.1445 deg
  Bg     = +81.88054 +/- 0.1568 deg
  Vh     =  39.03412 +/- 0.1442 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 277.92854 +/- 0.1009 deg
  Bh     = +32.93461 +/- 0.1765 deg
  Vh_x   =  -4.51899 +/- 0.0559 km/s
  Vh_y   =  32.44784 +/- 0.0751 km/s
  Vh_z   = -21.22213 +/- 0.1720 km/s
Orbit:
  La Sun = 186.636448 +/- 0.0000 deg
  a      =   3.580810 +/- 0.1417 AU
  e      =   0.720404 +/- 0.0126
  i      =  32.941240 +/- 0.1758 deg
  peri   = 182.589316 +/- 0.2259 deg
  node   = 186.638616 +/- 0.0000 deg
  Pi     =   9.227932 +/- 0.2259 deg
  q      =   1.001179 +/- 0.0001 AU
  f      = 357.407892 +/- 0.2259 deg
  M      = 359.707748 +/- 0.0468 deg
  Q      =   6.160440 +/- 0.2834 AU
  n      =   0.145456 +/- 0.0102 deg/day
  T      =   6.775986 +/- 0.3899 years
  Last perihelion JD = 2457014.414076 (2014-12-22 21:56:16.141414) +/- 142.5348 days
  Tj     =   2.418987 +/- 0.0637
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.598200e-04, +5.318044e-07, -1.809709e+00, -2.935094e-09, -2.887818e-05, +3.214166e-05
q   , +5.318044e-07, +6.102683e-09, -6.010722e-03, -1.576002e-11, -3.095544e-07, +1.726465e-07
Tp  , -1.809709e+00, -6.010722e-03, +2.059262e+04, +3.223544e-05, +3.270209e-01, -3.531482e-01
node, -2.935094e-09, -1.576002e-11, +3.223544e-05, +7.530722e-14, +8.227463e-10, -8.231368e-10
peri, -2.887818e-05, -3.095544e-07, +3.270209e-01, +8.227463e-10, +1.574611e-05, -9.013923e-06
i   , +3.214166e-05, +1.726465e-07, -3.531482e-01, -8.231368e-10, -9.013923e-06, +8.997441e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 9.862928
 a2 = 9.009317

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 4.403e-06 s
  Stddev    = 2.10e-03 s

Begin point on the trajectory:
  Lon =    -0.913274 +/- 0.0003 deg
  Lat =    52.997619 +/- 0.0001 deg
  Ht  = 85932.45 +/- 21.70 m
End point on the trajectory:
  Lon =    -0.854373 +/- 0.0002 deg
  Lat =    52.974951 +/- 0.0001 deg
  Ht  = 76135.03 +/- 14.65 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
    UK000Z,   False,    -1.740490,    53.069201,  230.00,  22.130937,   7.389965,    82315.80,    76135.03,          0.008285,     14.15,      0.96,              56.92, 0.7021,   False,    True, {"ff_name": "FF_UK000Z_20210929_210119_873_0238336.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   2.397935,  12.353999,    85891.48,    78496.74,          0.017113,     32.69,      0.98,              46.01, 0.5177,    True,    True, {"ff_name": "FF_UK002Z_20210929_210121_085_0246528.fits"}
    UK0035,   False,     1.010397,    52.949859,   25.00,   0.592177,  16.618745,    85932.45,    78522.15,          0.011928,     31.90,      2.68,              35.55, 0.3380,    True,    True, {"ff_name": "FF_UK0035_20210929_210117_316_0253696.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,     UK000Z,       0,  0.208339, 2459487.375929237809,   8.25887,  36.78375,               98.54656,  54.48687,        98.53765,       54.48584,      8.25887,     +36.78375,       8.26503,      +36.78690,  3123943.42, -2330076.55,  5135594.10,      52.989263,       -0.891500,   82315.80,  100520.04,       0.00,             4887.62,  -102.27,      0.00,           22263.15,     -0.63,     -9.24,          19.01,  +1.92,  +1.91
  1,     UK000Z,       0,  0.329499, 2459487.375930640381,   9.36005,  35.56020,               99.05044,  53.00417,        99.03957,       53.00291,      9.36005,     +35.56020,       9.36806,      +35.56411,  3123772.68, -2328510.57,  5132990.51,      52.982958,       -0.875048,   79590.65,   99020.63,    3043.04,             7930.66,    15.26,  25115.91,           22263.15,     -0.78,    -11.49,          23.98,  +2.75,  +2.77
  2,     UK000Z,       0,  0.369747, 2459487.375931106042,   9.58595,  35.30072,               99.15436,  52.69229,        99.14205,       52.69086,      9.58595,     +35.30072,       9.59504,      +35.30517,  3123737.20, -2328185.16,  5132449.48,      52.981647,       -0.871691,   79024.33,   98715.29,    3675.39,             8563.01,  -324.21,  15711.31,           22263.15,     -0.89,    -13.06,          27.35,  +1.96,  +1.99
  3,     UK000Z,       0,  0.410051, 2459487.375931572635,   9.87000,  34.98352,               99.26962,  52.30545,        99.26594,       52.30502,      9.87000,     +34.98352,       9.87399,      +34.98486,  3123693.77, -2327786.87,  5131787.27,      52.980041,       -0.867544,   78331.19,   98347.25,    4449.37,             9336.99,  -523.40,  19203.52,           22263.15,     -0.27,     -3.93,           8.26,  +2.59,  +2.63
  4,     UK000Z,       0,  0.450347, 2459487.375932038762,  10.13752,  34.67352,               99.38694,  51.93244,        99.38374,       51.93207,     10.13752,     +34.67352,      10.14139,      +34.67469,  3123652.09, -2327404.59,  5131151.70,      52.978500,       -0.863570,   77665.93,   97998.13,    5192.22,            10079.84,  -753.53,  18434.84,           21443.48,     -0.23,     -3.43,           7.23,  +2.29,  +2.33
  5,     UK000Z,       0,  0.490651, 2459487.375932505354,  10.39961,  34.33873,               99.53347,  51.54450,        99.50496,       51.54120,     10.39961,     +34.33873,      10.41947,      +34.34916,  3123608.76, -2327007.15,  5130490.92,      52.976897,       -0.859431,   76974.30,   97640.02,    5964.53,            10852.15,  -954.40,  19162.04,           20882.24,     -2.09,    -30.66,          64.92,  +3.38,  +3.43
  6,     UK000Z,       0,  0.531039, 2459487.375932972878,  10.75960,  33.95179,               99.64377,  51.06104,        99.65004,       51.06176,     10.75960,     +33.95179,      10.75788,      +33.94949,  3123556.17, -2326524.85,  5129689.04,      52.974951,       -0.854373,   76135.03,   97213.33,    6901.75,            11789.37,  -992.38,  23205.50,           20793.30,      0.46,      6.77,          14.40,  +4.46,  +4.52
  0,     UK002Z,       1,  0.000000, 2459487.375926825684, 303.74004,  17.42642,              211.07088,  50.67018,       211.02651,       50.69226,    303.74004,     +17.42642,     303.77538,      +17.43830,  3124222.24, -2332633.75,  5139845.69,      52.999544,       -0.918302,   86766.20,  111595.57,       0.00,               81.60,   122.23,      0.00,           24507.67,      2.09,    -69.59,         128.68,  +5.24,  +5.00
  1,     UK002Z,       0,  0.040000, 2459487.375927288551, 303.93543,  17.10857,              210.63295,  50.42849,       210.68246,       50.40392,    303.93543,     +17.10857,     303.89614,      +17.09527,  3124167.44, -2332131.15,  5139010.07,      52.997525,       -0.913032,   85891.48,  110923.34,     976.66,              895.07,   -30.14,  24416.56,           24507.67,     -2.31,     77.38,         143.96,  +3.64,  +3.41
  2,     UK002Z,       0,  0.080088, 2459487.375927752815, 304.03858,  16.73665,              210.30315,  50.10659,       210.32196,       50.09729,    304.03858,     +16.73665,     304.02391,      +16.73160,  3124110.06, -2331604.94,  5138135.19,      52.995410,       -0.907506,   84975.67,  110224.16,    1999.22,             1917.62,    24.46,  25507.80,           24507.67,     -0.88,     29.29,          54.83,  +1.91,  +1.70
  3,     UK002Z,       0,  0.120160, 2459487.375928216614, 304.14406,  16.39713,              209.98946,  49.81543,       209.99407,       49.81316,    304.14406,     +16.39713,     304.14088,      +16.39589,  3124057.76, -2331125.19,  5137337.56,      52.993481,       -0.902482,   84140.74,  109591.37,    2931.48,             2849.88,   -10.85,  23264.63,           24507.67,     -0.21,      7.16,          13.48,  +2.10,  +1.90
  4,     UK002Z,       0,  0.160216, 2459487.375928679947, 304.26641,  16.07544,              209.66367,  49.54554,       209.68069,       49.53718,    304.26641,     +16.07544,     304.25348,      +16.07087,  3124007.69, -2330666.03,  5136574.15,      52.991635,       -0.897680,   83341.65,  108989.84,    3823.74,             3742.14,   -85.78,  22275.24,           23970.21,     -0.79,     26.34,          49.86,  +1.91,  +1.72
  5,     UK002Z,       0,  0.200288, 2459487.375929143745, 304.39647,  15.69727,              209.30394,  49.22332,       209.31963,       49.21564,    304.39647,     +15.69727,     304.38475,      +15.69305,  3123950.18, -2330138.54,  5135697.17,      52.989513,       -0.892137,   82423.69,  108303.13,    4848.75,             4767.15,   -28.34,  25579.31,           24046.62,     -0.73,     24.19,          46.08,  +1.72,  +1.55
  6,     UK002Z,       0,  0.240372, 2459487.375929607544, 304.51624,  15.31088,              208.95893,  48.88940,       208.95918,       48.88928,    304.51624,     +15.31088,     304.51704,      +15.31081,  3123892.74, -2329611.69,  5134821.22,      52.987392,       -0.886600,   81506.84,  107622.54,    5872.54,             5790.94,    27.59,  25541.09,           24234.13,     -0.01,      0.39,           0.74,  +1.60,  +1.44
  7,     UK002Z,       0,  0.280428, 2459487.375930071343, 304.65744,  14.96052,              208.60404,  48.59519,       208.62779,       48.58365,    304.65744,     +14.96052,     304.63955,      +14.95412,  3123839.79, -2329126.13,  5134013.92,      52.985437,       -0.881510,   80661.83,  107000.30,    6816.11,             6734.51,     3.97,  23556.22,           24255.75,     -1.09,     36.38,          70.17,  +1.49,  +1.34
  8,     UK002Z,       0,  0.320500, 2459487.375930535141, 304.75578,  14.63339,              208.32248,  48.31027,       208.33185,       48.30573,    304.75578,     +14.63339,     304.74959,      +14.63087,  3123792.35, -2328691.02,  5133290.52,      52.983685,       -0.876965,   79904.65,  106447.03,    7661.61,             7580.02,  -118.09,  21099.63,           24055.40,     -0.43,     14.32,          27.75,  +1.76,  +1.62
  9,     UK002Z,       0,  0.360564, 2459487.375930998940, 304.88215,  14.28941,              207.99751,  48.01648,       208.01742,       48.00686,    304.88215,     +14.28941,     304.86764,      +14.28404,  3123742.00, -2328229.18,  5132522.66,      52.981824,       -0.872129,   79100.94,  105863.70,    8559.08,             8477.48,  -188.01,  22400.76,           23863.16,     -0.91,     30.34,          59.14,  +2.16,  +2.04
 10,     UK002Z,       0,  0.400636, 2459487.375931462739, 304.94967,  14.01923,              207.78842,  47.77641,       207.78322,       47.77892,    304.94967,     +14.01923,     304.95554,      +14.02064,  3123704.14, -2327881.99,  5131945.43,      52.980425,       -0.868535,   78496.74,  105428.87,    9233.74,             9152.14,  -480.92,  16836.22,           23438.84,      0.24,     -7.91,          15.49,  +4.11,  +4.00
 11,     UK002Z,       1,  0.440660, 2459487.375931926072, 305.14158,  13.66436,              207.37401,  47.48889,       207.44850,       47.45308,    305.14158,     +13.66436,     305.08333,      +13.64417,  3123650.55, -2327390.51,  5131128.28,      52.978443,       -0.863377,   77641.47,  104816.15,   10188.81,            10107.21,  -492.26,  23862.41,           23210.35,     -3.39,    112.99,         222.45,  +5.24,  +5.14
  0,     UK0035,       0,  0.035507, 2459487.375927253626, 254.26949,  27.40746,              273.11510,  32.83964,       273.12297,       32.83685,    254.26949,     +27.40746,     254.26204,      +27.40988,  3124170.01, -2332154.70,  5139049.21,      52.997619,       -0.913274,   85932.45,  155988.65,       0.00,              849.32,    32.60,      0.00,           24819.19,     -1.64,    -19.46,          25.83,  +3.46,  +2.49
  1,     UK0035,       0,  0.075683, 2459487.375927718822, 254.16989,  27.22665,              273.04696,  32.64667,       273.03141,       32.65218,    254.16989,     +27.22665,     254.18524,      +27.22185,  3124117.45, -2331672.64,  5138247.75,      52.995682,       -0.908226,   85093.50,  155230.86,     936.74,             1786.06,    -0.74,  23315.97,           24819.19,      3.22,     38.34,          51.12,  +3.42,  +2.47
  2,     UK0035,       0,  0.115887, 2459487.375928184018, 254.08639,  27.00248,              272.93217,  32.43124,       272.92371,       32.43423,    254.08639,     +27.00248,     254.09506,      +26.99987,  3124055.98, -2331108.89,  5137310.46,      52.993416,       -0.902294,   84112.39,  154345.45,    2032.24,             2881.56,   123.99,  27248.35,           24819.19,      1.75,     20.79,          27.88,  +2.49,  +1.55
  3,     UK0035,       0,  0.156067, 2459487.375928649213, 253.98368,  26.82037,              272.86672,  32.23504,       272.83197,       32.24734,    253.98368,     +26.82037,     254.01795,      +26.80963,  3124003.94, -2330631.64,  5136516.99,      52.991497,       -0.897296,   83281.83,  153599.42,    2959.63,             3808.95,    81.21,  23081.11,           24819.19,      7.15,     85.12,         114.71,  +2.86,  +1.93
  4,     UK0035,       0,  0.196255, 2459487.375929113943, 253.93645,  26.60198,              272.72978,  32.04522,       272.73263,       32.04421,    253.93645,     +26.60198,     253.93452,      +26.60286,  3123947.93, -2330117.88,  5135662.81,      52.989430,       -0.891903,   82387.74,  152797.73,    3957.98,             4807.31,   109.19,  24842.00,           24730.97,     -0.58,     -6.96,           9.43,  +2.64,  +1.72
  5,     UK0035,       0,  0.236423, 2459487.375929579139, 253.85873,  26.42312,              272.64866,  31.86608,       272.64644,       31.86687,    253.85873,     +26.42312,     253.86187,      +26.42244,  3123899.60, -2329674.66,  5134925.91,      52.987646,       -0.887272,   81616.41,  152109.24,    4819.27,             5668.59,     0.58,  21442.03,           24236.16,      0.45,      5.40,           7.35,  +2.25,  +1.34
  6,     UK0035,       0,  0.276583, 2459487.375930043869, 253.79498,  26.25049,              272.56206,  31.69981,       272.56512,       31.69873,    253.79498,     +26.25049,     253.79319,      +26.25143,  3123854.24, -2329258.59,  5134234.15,      52.985971,       -0.882934,   80892.32,  151465.05,    5627.79,             6477.11,  -160.59,  20132.56,           23620.04,     -0.62,     -7.41,          10.13,  +2.36,  +1.46
  7,     UK0035,       0,  0.316783, 2459487.375930509064, 253.71295,  26.03382,              272.45564,  31.48969,       272.46295,       31.48710,    253.71295,     +26.03382,     253.70720,      +26.03608,  3123797.54, -2328738.63,  5133369.67,      52.983877,       -0.877471,   79987.49,  150659.81,    6638.18,             7487.50,  -120.86,  25134.11,           23489.46,     -1.49,    -17.69,          24.31,  +3.02,  +2.13
  8,     UK0035,       0,  0.356955, 2459487.375930974260, 253.62863,  25.85215,              272.37915,  31.30398,       272.37569,       31.30520,    253.62863,     +25.85215,     253.63348,      +25.85109,  3123749.40, -2328297.10,  5132635.57,      52.982098,       -0.872856,   79219.12,  149979.36,    7496.18,             8345.50,  -232.85,  21358.16,           23286.48,      0.70,      8.34,          11.51,  +3.22,  +2.34
  9,     UK0035,       0,  0.397111, 2459487.375931438990, 253.55977,  25.68311,              272.30094,  31.13680,       272.29614,       31.13850,    253.55977,     +25.68311,     253.56609,      +25.68163,  3123705.73, -2327896.59,  5131969.70,      52.980483,       -0.868685,   78522.15,  149364.56,    8274.45,             9123.77,  -424.19,  19381.00,           22970.26,      0.97,     11.55,          16.00,  +3.89,  +3.02

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.