Orbital Analysis for matched events on 20210813_234316.853_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.71° Bg 38.65° Vg 58.10km/s
mass 0.01918g, abs. mag -1.1
Path Details
------------
start -3.66° 49.74° 108.99km
end   -3.80° 49.63° 96.04km

Orbit Details
-------------
Semimajor axis 7.32A.U., eccentricity 0.87, inclination 112.30°, Period 19.80Y, LA Sun 141.14°, last Perihelion 2021-07-23

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: 2459440.488389510661
Time: 2021-08-13 23:43:16.894196 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0024 and UK002D
 Convergence angle = 9.78705 deg
 R.A. =  49.07793  Dec = +58.39013 deg
Intersection 2 - Stations: UK0024 and UK003E
 Convergence angle = 9.86773 deg
 R.A. =  51.13351  Dec = +58.01384 deg
Intersection 3 - Stations: UK002D and UK003E
 Convergence angle = 0.21167 deg
 R.A. = 284.38737  Dec =  -5.04106 deg

Best intersection: Stations UK0024 and UK003E with Qconv = 9.87 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2959855.47 +/- 146.94 m
 Y =  -2980442.74 +/- 279.60 m
 Z =   4928957.92 +/- 15.16 m
 Vx =    20395.30 +/- 963.83 m/s
 Vy =    22946.18 +/- 1393.87 m/s
 Vz =    50564.28 +/- 907.73 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.553716e+04, -2.946215e+04, +4.494999e+02, +4.101826e+04, -1.061609e+05, -2.260398e+04
-2.946215e+04, +5.752799e+04, -1.019831e+03, -7.882641e+04, +2.153754e+05, +4.389407e+04
+4.494999e+02, -1.019831e+03, +1.716524e+02, +3.629321e+02, -3.663275e+03, -2.881862e+02
+4.101826e+04, -7.882641e+04, +3.629321e+02, +1.537389e+05, -4.166113e+05, -9.814718e+04
-1.061609e+05, +2.153754e+05, -3.663275e+03, -4.166113e+05, +1.275584e+06, +2.834405e+05
-2.260398e+04, +4.389407e+04, -2.881862e+02, -9.814718e+04, +2.834405e+05, +7.307749e+04

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK0024: 0.000000 s
    UK002D: 0.000487 s
    UK003E: 0.000460 s

Reference point on the trajectory:
  Time: 2021-08-13 23:43:16.894196 UTC
  Lon     = +-3.643212 +/- 0.0013 deg
  Lat     = +49.749072 +/- 0.0020 deg
  Lat geo = +49.562415 +/- 0.0020 deg
  Ht      =  110212.41 +/- 200.17 m

  JD dynamic   = 2459440.489190720022 
  LST apparent = 314.8014310623 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.36828 +/- 2.2519 deg
  Dec       = +58.73598 +/- 0.5379 deg
  Azimuth   =  41.91701 +/- 0.4059 deg
  Elevation = +39.16299 +/- 1.2749 deg
  Vavg      =  59.04133 +/- 0.6034 km/s
  Vinit     =  59.15439 +/- 0.7143 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.33306 +/- 2.2519 deg
  Dec       = +58.48355 +/- 0.5379 deg
  Azimuth   =  42.20047 +/- 0.4059 deg
  Elevation = +39.03781 +/- 1.2749 deg
  Vavg      =  59.20056 +/- 0.6034 km/s
  Vinit     =  59.31363 +/- 0.7143 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.72284 +/- 2.2269 deg
  Dec    = +58.38418 +/- 0.5465 deg
  Vg     =  58.10460 +/- 0.7265 km/s
  Vinf   =  59.15439 +/- 0.7143 km/s
  Zc     =  50.97602 +/- 1.2757 deg
  Zg     =  51.46509 +/- 1.2776 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.71451 +/- 1.2380 deg
  Bg     = +38.65431 +/- 0.8740 deg
  Vh     =  40.37569 +/- 0.4582 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.85542 +/- 1.6066 deg
  Bh     = +64.01340 +/- 1.9002 deg
  Vh_x   =  -1.89361 +/- 0.4969 km/s
  Vh_y   = -17.58941 +/- 1.4419 km/s
  Vh_z   = -36.29357 +/- 0.3043 km/s
Orbit:
  La Sun = 141.137664 +/- 0.0000 deg
  a      =   7.319852 +/- 25.7827 AU
  e      =   0.869943 +/- 0.0402
  i      = 112.298651 +/- 1.2628 deg
  peri   = 150.507264 +/- 2.6691 deg
  node   = 141.136648 +/- 0.0001 deg
  Pi     = 291.643912 +/- 2.6691 deg
  q      =   0.951999 +/- 0.0149 AU
  f      =  29.488819 +/- 2.6690 deg
  M      =   1.054821 +/- nan deg
  Q      =  13.687704 +/- 51.5642 AU
  n      =   0.049768 +/- 0.0126 deg/day
  T      =  19.804052 +/- 304543437.5640 years
  Last perihelion JD = 2459419.294441 (2021-07-23 19:03:59.691827) +/- 1.0552 days
  Tj     =   0.267147 +/- 0.2463
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +9.910261e-04, -3.420861e-04, -3.243923e-02, -3.958749e-08, -1.129825e-03, +5.215980e-04
q   , -3.420861e-04, +1.267995e-04, +1.216319e-02, +1.456221e-08, +4.196505e-04, -1.915902e-04
Tp  , -3.243923e-02, +1.216319e-02, +1.173358e+00, +1.404120e-06, +4.035228e-02, -1.847449e-02
node, -3.958749e-08, +1.456221e-08, +1.404120e-06, +1.768878e-12, +4.834977e-08, -2.327475e-08
peri, -1.129825e-03, +4.196505e-04, +4.035228e-02, +4.834977e-08, +1.390516e-03, -6.361918e-04
i   , +5.215980e-04, -1.915902e-04, -1.847449e-02, -2.327475e-08, -6.361918e-04, +3.062662e-04

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: UK0024
  Avg. res. = 4.213e-06 s
  Stddev    = 2.05e-03 s

Begin point on the trajectory:
  Lon =    -3.656804 +/- 0.0011 deg
  Lat =    49.739260 +/- 0.0018 deg
  Ht  = 108994.68 +/- 174.74 m
End point on the trajectory:
  Lon =    -3.803373 +/- 0.0022 deg
  Lat =    49.634146 +/- 0.0024 deg
  Ht  = 96040.44 +/- 128.33 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
    UK000H,    True,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   111524.29,   106821.54,          0.047697,       nan,       nan,             112.47, 0.0000,    True,   False, {"ff_name": "FF_UK000H_20210813_234311_913_0322304.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   108994.68,   103086.41,          0.005833,     16.27,      7.61,             102.72, 0.9515,    True,   False, {"ff_name": "FF_UK0024_20210813_234308_562_0315904.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   108359.83,    96040.44,          0.019658,     71.27,     49.71,             117.05, 0.7931,    True,    True, {"ff_name": "FF_UK002D_20210813_234314_684_0319488.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   108214.01,    96175.77,          0.016977,     62.42,     43.46,             117.05, 0.7931,    True,    True, {"ff_name": "FF_UK003E_20210813_234308_293_0320000.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,     UK000H,       1, -0.743937, 2459440.488380900118, 277.05765,   1.93740,              227.89483,  30.81514,       227.84775,       30.81775,    277.05765,      +1.93740,     277.09151,       +1.92077,  2960571.56, -2979637.09,  4930733.26,      49.759660,       -3.625259,  111524.29,  212637.92,       0.00,             2076.95, 46727.38,     -0.00,           59794.78,   -106.55,    106.11,         145.86,  +3.81,  +2.17
  1,     UK000H,       1, -0.703333, 2459440.488381370436, 276.73243,   1.27502,              227.86809,  30.07765,       227.79595,       30.08167,    276.73243,      +1.27502,     276.78655,       +1.24936,  2959575.09, -2980758.19,  4928262.79,      49.744925,       -3.645850,  109698.86,  213569.36,    2890.16,              813.22, 43061.75,  71179.21,           59794.78,   -165.27,    164.44,         225.17,  +2.83,  +1.18
  2,     UK000H,       1, -0.662941, 2459440.488381837960, 276.55725,   0.83346,              227.80829,  29.60545,       227.76397,       29.60791,    276.55725,      +0.83346,     276.58970,       +0.81761,  2958929.66, -2981484.34,  4926662.63,      49.735375,       -3.659244,  108516.90,  214194.06,    4762.16,             2685.22, 42544.39,  46345.81,           59794.78,   -102.28,    101.84,         138.99,  +1.98,  +0.33
  3,     UK000H,       1, -0.622393, 2459440.488382306881, 276.27163,   0.22116,              227.76951,  28.93067,       227.71781,       28.93354,    276.27163,      +0.22116,     276.31038,       +0.20256,  2958003.58, -2982526.26,  4924366.67,      49.721663,       -3.678390,  106821.54,  215112.56,    7448.18,             5371.23, 42831.81,  66242.95,           59794.78,   -120.64,    120.09,         163.23,  +1.64,  -0.02
  0,     UK0024,       1,  0.000000, 2459440.488389510661, 298.54180,   1.31695,              201.83899,  38.40620,       201.74237,       38.38439,    298.54180,      +1.31695,     298.61032,       +1.27799,  2959856.03, -2980442.11,  4928959.30,      49.749080,       -3.643031,  110210.80,  175026.85,       0.00,                1.62,   644.89,      0.00,           54003.86,   -102.29,    217.91,         283.69,  +4.87,  +3.65
  1,     UK0024,       0,  0.040464, 2459440.488389979117, 298.29736,   0.73879,              201.96785,  37.78677,       201.96543,       37.78622,    298.29736,      +0.73879,     298.29926,       +0.73781,  2959192.17, -2981189.00,  4927313.44,      49.739260,       -3.656804,  108994.68,  175341.53,    1925.46,             1923.84,   173.49,  47584.54,           54003.86,     -2.58,      5.52,           7.17,  +2.28,  +1.06
  2,     UK0024,       0,  0.081040, 2459440.488390448503, 297.93614,   0.10082,              202.21907,  37.08130,       202.22246,       37.08206,    297.93614,      +0.10082,     297.93404,       +0.10221,  2958407.90, -2982071.36,  4925369.08,      49.727651,       -3.673044,  107558.47,  175739.30,    4200.14,             4198.52,    47.92,  56059.64,           54003.86,      3.65,     -7.81,          10.11,  +1.28,  +0.06
  3,     UK0024,       0,  0.121632, 2459440.488390918355, 297.56846,  -0.55366,              202.46851,  36.35772,       202.48062,       36.36046,    297.56846,      -0.55366,     297.56016,       -0.54865,  2957600.97, -2982979.21,  4923368.53,      49.715699,       -3.689749,  106081.24,  176178.35,    6540.56,             6538.94,   -12.85,  57657.14,           54003.86,     13.20,    -28.22,          36.48,  +0.90,  -0.33
  4,     UK0024,       0,  0.162248, 2459440.488391388673, 297.17310,  -1.21520,              202.74415,  35.62005,       202.74054,       35.61923,    297.17310,      -1.21520,     297.17643,       -1.21671,  2956768.35, -2983915.98,  4921304.28,      49.703359,       -3.706979,  104557.51,  176662.80,    8955.49,             8953.88,    -0.53,  59457.80,           55530.51,     -3.98,      8.50,          10.95,  +0.74,  -0.50
  5,     UK0024,       0,  0.202836, 2459440.488391858526, 296.80081,  -1.85490,              202.99383,  34.90860,       202.98583,       34.90680,    296.80081,      -1.85490,     296.80758,       -1.85827,  2955964.22, -2984820.68,  4919310.66,      49.691433,       -3.723624,  103086.41,  177160.95,   11287.80,            11286.18,   -69.19,  57462.87,           56242.33,     -8.92,     19.06,          24.50,  +0.58,  -0.66
  0,     UK002D,       1,  0.023209, 2459440.488389773294, 283.38784,  -6.97343,              216.93231,  25.06072,       216.93578,       25.06102,    283.38784,      -6.97343,     283.38511,       -6.97197,  2959472.04, -2980874.13,  4928007.29,      49.743401,       -3.650995,  109507.33,  248979.53,       0.00,             1112.12,   382.50,      0.00,           56560.92,      7.84,    -11.26,          11.37,  +5.27,  +3.29
  1,     UK002D,       0,  0.063513, 2459440.488390239421, 283.20535,  -7.31121,              216.97618,  24.67955,       216.97801,       24.67970,    283.20535,      -7.31121,     283.20412,       -7.31043,  2958845.55, -2981578.97,  4926454.11,      49.734130,       -3.664001,  108359.83,  249716.58,    1817.05,             2929.17,  -184.61,  45083.62,           56560.92,      4.17,     -5.98,           6.02,  +2.21,  +0.22
  2,     UK002D,       0,  0.103909, 2459440.488390706945, 282.94186,  -7.74345,              217.06157,  24.18053,       217.03239,       24.17803,    282.94186,      -7.74345,     282.96620,       -7.75587,  2958015.25, -2982513.12,  4924395.61,      49.721836,       -3.681183,  106839.56,  250708.46,    4225.26,             5337.37,  -166.01,  59614.93,           56560.92,    -66.94,     95.97,          96.27,  +1.48,  -0.52
  3,     UK002D,       0,  0.144341, 2459440.488391174935, 282.68797,  -8.21737,              217.11878,  23.64660,       217.08962,       23.64410,    282.68797,      -8.21737,     282.71257,       -8.22984,  2957124.15, -2983515.67,  4922186.39,      49.708633,       -3.699611,  105208.58,  251793.93,    6809.79,             7921.91,    26.80,  63923.08,           56560.92,    -67.45,     96.70,          96.58,  +1.38,  -0.63
  4,     UK002D,       0,  0.184741, 2459440.488391642459, 282.44841,  -8.65916,              217.17395,  23.14783,       217.14282,       23.14517,    282.44841,      -8.65916,     282.47492,       -8.67254,  2956284.49, -2984460.36,  4920104.68,      49.696183,       -3.716984,  103672.28,  252837.12,    9245.15,            10357.27,    72.32,  60281.06,           58143.83,    -72.58,    104.05,         103.49,  +0.98,  -1.03
  5,     UK002D,       0,  0.225189, 2459440.488392110914, 282.20137,  -9.15247,              217.21413,  22.59869,       217.20050,       22.59753,    282.20137,      -9.15247,     282.21363,       -9.15836,  2955354.64, -2985506.51,  4917799.38,      49.682387,       -3.736205,  101971.64,  254014.07,   11942.08,            13054.20,   376.58,  66676.60,           59816.65,    -32.05,     45.97,          45.50,  +0.85,  -1.17
  6,     UK002D,       0,  0.265537, 2459440.488392577972, 281.99869,  -9.53609,              217.25504,  22.16773,       217.24601,       22.16696,    281.99869,      -9.53609,     282.00732,       -9.54000,  2954617.68, -2986335.63,  4915972.31,      49.671444,       -3.751472,  100624.17,  254964.68,   14079.55,            15191.66,   127.28,  52975.66,           59681.53,    -21.36,     30.64,          30.21,  +0.86,  -1.17
  7,     UK002D,       0,  0.305881, 2459440.488393044565, 281.77070,  -9.91326,              217.32264,  21.73320,       217.29180,       21.73057,    281.77070,      -9.91326,     281.79780,       -9.92669,  2953865.06, -2987182.39,  4914106.40,      49.660263,       -3.767060,   99248.50,  255950.24,   16262.45,            17374.57,   -76.35,  54107.25,           59161.39,    -73.53,    105.38,         103.56,  +0.82,  -1.22
  8,     UK002D,       0,  0.346329, 2459440.488393513020, 281.54357, -10.40602,              217.34065,  21.19234,       217.34729,       21.19291,    281.54357,     -10.40602,     281.53943,      -10.40312,  2952929.44, -2988235.03,  4911786.80,      49.646353,       -3.786397,   97539.04,  257194.59,   18976.11,            20088.23,   244.64,  67090.19,           59447.85,     15.95,    -22.88,          22.37,  +0.81,  -1.24
  9,     UK002D,       0,  0.386697, 2459440.488393980078, 281.30265, -10.81182,              217.40700,  20.72661,       217.39546,       20.72563,    281.30265,     -10.81182,     281.31402,      -10.81690,  2952108.95, -2989158.13,  4909752.65,      49.634146,       -3.803373,   96040.44,  258305.23,   21355.84,            22467.95,   236.42,  58950.74,           59566.56,    -27.96,     40.10,          39.04,  +1.82,  -0.24
  0,     UK003E,       0,  0.064283, 2459440.488390248735, 283.17723,  -7.35146,              216.98777,  24.63173,       216.98260,       24.63129,    283.17723,      -7.35146,     283.18171,       -7.35365,  2958765.92, -2981668.57,  4926256.67,      49.732951,       -3.665636,  108214.01,  249809.78,       0.00,             3160.15,     0.78,      0.00,           59343.24,    -11.76,     16.88,          16.98,  +1.69,  -0.30
  1,     UK003E,       0,  0.104799, 2459440.488390717655, 282.91218,  -7.84641,              217.04851,  24.07412,       217.04272,       24.07362,    282.91218,      -7.84641,     282.91736,       -7.84888,  2957841.69, -2982708.39,  4923965.32,      49.719266,       -3.684744,  106521.91,  250916.46,    2680.61,             5840.76,   284.69,  66161.72,           59343.24,    -13.30,     19.08,          19.12,  +1.41,  -0.59
  2,     UK003E,       0,  0.145199, 2459440.488391185179, 282.71280,  -8.23382,              217.08711,  23.64074,       217.08952,       23.64095,    282.71280,      -8.23382,     282.71143,       -8.23279,  2957119.20, -2983521.25,  4922174.10,      49.708560,       -3.699717,  105199.51,  251799.53,    4776.14,             7936.28,    -9.62,  51869.48,           59343.24,      5.56,     -7.98,           7.96,  +1.02,  -0.99
  3,     UK003E,       0,  0.185675, 2459440.488391653635, 282.46018,  -8.69024,              217.14934,  23.12354,       217.14463,       23.12314,    282.46018,      -8.69024,     282.46484,       -8.69226,  2956247.55, -2984501.92,  4920013.10,      49.695636,       -3.717745,  103604.72,  252882.74,    7304.26,            10464.41,   124.17,  62459.77,           59343.24,    -10.97,     15.74,          15.65,  +0.60,  -1.41
  4,     UK003E,       0,  0.226087, 2459440.488392121624, 282.26154,  -9.09365,              217.17900,  22.67577,       217.19210,       22.67689,    282.26154,      -9.09365,     282.25161,       -9.08799,  2955490.44, -2985353.72,  4918136.07,      49.684402,       -3.733427,  102219.91,  253841.22,    9500.17,            12660.32,   -70.47,  54338.12,           58406.14,     30.73,    -44.12,          43.69,  +0.44,  -1.58
  5,     UK003E,       0,  0.266527, 2459440.488392589614, 282.03213,  -9.51102,              217.23249,  22.20353,       217.24187,       22.20433,    282.03213,      -9.51102,     282.02542,       -9.50695,  2954682.32, -2986262.91,  4916132.56,      49.672404,       -3.750152,  100742.30,  254880.86,   11844.04,            15004.19,  -118.81,  57959.13,           58074.38,     22.18,    -31.84,          31.40,  +0.60,  -1.43
  6,     UK003E,       0,  0.306987, 2459440.488393058069, 281.80681,  -9.96488,              217.26593,  21.69920,       217.29428,       21.70164,    281.80681,      -9.96488,     281.78435,       -9.95252,  2953815.23, -2987238.44,  4913982.88,      49.659522,       -3.768086,   99157.46,  256015.19,   14358.92,            17519.07,     2.69,  62157.31,           58393.48,     67.54,    -97.01,          95.24,  +0.36,  -1.68
  7,     UK003E,       0,  0.347447, 2459440.488393526059, 281.57067, -10.40997,              217.31261,  21.19897,       217.34601,       21.20184,    281.57067,     -10.40997,     281.54403,      -10.39533,  2952945.43, -2988217.04,  4911826.45,      49.646591,       -3.786074,   97568.23,  257172.85,   16881.70,            20041.85,   132.08,  62352.42,           58856.49,     80.20,   -115.21,         112.59,  +0.60,  -1.45
  8,     UK003E,       0,  0.387851, 2459440.488393994048, 281.35510, -10.79161,              217.36450,  20.76515,       217.39098,       20.76742,    281.35510,     -10.79161,     281.33436,      -10.77996,  2952183.09, -2989074.72,  4909936.44,      49.635249,       -3.801860,   96175.77,  258204.38,   19092.79,            22252.93,   -46.90,  54724.42,           58797.35,     64.03,    -91.96,          89.52,  +1.61,  -0.45

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.