Orbital Analysis for matched events on 20210929_032550.023_UK

Summary for Event
-----------------
shower ID 210 BAU
Lg 99.25° Bg 25.76° Vg 64.72km/s
mass 0.04108g, abs. mag -0.8
Path Details
------------
start -3.18° 49.63° 114.50km
end   -3.34° 49.60° 93.93km

Orbit Details
-------------
Semimajor axis 5.51A.U., eccentricity 0.82, inclination 135.33°, Period 12.92Y, LA Sun 185.92°, last Perihelion 2021-09-22

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: 2459486.642940083519
Time: 2021-09-29 03:25:50.023216 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK003C
 Convergence angle = 45.93768 deg
 R.A. = 103.05048  Dec = +48.76801 deg

Best intersection: Stations UK0021 and UK003C with Qconv = 45.94 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2332155.87 +/- 19.23 m
 Y =   3509091.08 +/- 57.94 m
 Z =   4923536.51 +/- 40.59 m
 Vx =    -9568.76 +/- 19.82 m/s
 Vy =    42144.32 +/- 505.17 m/s
 Vz =    49437.20 +/- 540.43 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.962182e+02, -5.750700e+02, -2.735342e+02, +1.888666e+03, -3.805490e+03, -4.716406e+03
-5.750700e+02, +3.063722e+03, +5.132120e+02, -2.354313e+03, +1.435380e+04, +6.178698e+03
-2.735342e+02, +5.132120e+02, +1.732137e+03, -2.149567e+03, +4.882426e+03, +1.080619e+04
+1.888666e+03, -2.354313e+03, -2.149567e+03, +1.625568e+04, -4.065718e+04, -5.089864e+04
-3.805490e+03, +1.435380e+04, +4.882426e+03, -4.065718e+04, +1.615633e+05, +1.431915e+05
-4.716406e+03, +6.178698e+03, +1.080619e+04, -5.089864e+04, +1.431915e+05, +2.026513e+05

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK003C: 0.000329 s

Reference point on the trajectory:
  Time: 2021-09-29 03:25:50.023216 UTC
  Lon     = +-3.182697 +/- 0.0006 deg
  Lat     = +49.630895 +/- 0.0003 deg
  Lat geo = +49.444235 +/- 0.0003 deg
  Ht      =  114451.37 +/- 46.16 m

  JD dynamic   = 2459486.643740824424 
  LST apparent = 56.3918298772 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 102.79199 +/- 0.0985 deg
  Dec       = +48.84073 +/- 0.1689 deg
  Azimuth   =  73.42633 +/- 0.3468 deg
  Elevation = +60.17991 +/- 0.0544 deg
  Vavg      =  65.20447 +/- 0.1760 km/s
  Vinit     =  65.66386 +/- 0.5495 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 103.07146 +/- 0.0985 deg
  Dec       = +48.69455 +/- 0.1689 deg
  Azimuth   =  73.57873 +/- 0.3468 deg
  Elevation = +59.95739 +/- 0.0544 deg
  Vavg      =  65.35147 +/- 0.1760 km/s
  Vinit     =  65.81085 +/- 0.5495 km/s
Radiant (geocentric, J2000):
  R.A.   = 102.69596 +/- 0.0979 deg
  Dec    = +48.79517 +/- 0.1697 deg
  Vg     =  64.72037 +/- 0.5574 km/s
  Vinf   =  65.66386 +/- 0.5495 km/s
  Zc     =  29.87382 +/- 0.0541 deg
  Zg     =  30.09503 +/- 0.0528 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  99.25103 +/- 0.0622 deg
  Bg     = +25.76436 +/- 0.1726 deg
  Vh     =  40.12420 +/- 0.5210 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 101.75090 +/- 0.1222 deg
  Bh     = +44.52185 +/- 0.3915 deg
  Vh_x   =   5.82620 +/- 0.1170 km/s
  Vh_y   = -28.00832 +/- 0.5147 km/s
  Vh_z   = -28.13434 +/- 0.2737 km/s
Orbit:
  La Sun = 185.916502 +/- 0.0000 deg
  a      =   5.506771 +/- 4.4632 AU
  e      =   0.819137 +/- 0.0478
  i      = 135.329438 +/- 0.3938 deg
  peri   = 170.770580 +/- 0.2602 deg
  node   = 185.917756 +/- 0.0000 deg
  Pi     = 356.688336 +/- 0.2602 deg
  q      =   0.995972 +/- 0.0002 AU
  f      =   9.228554 +/- 0.2602 deg
  M      =   0.528349 +/- 0.1655 deg
  Q      =  10.017570 +/- 8.9263 AU
  n      =   0.076271 +/- 0.0241 deg/day
  T      =  12.922489 +/- 21.8722 years
  Last perihelion JD = 2459479.716472 (2021-09-22 05:11:43.161035) +/- 0.2596 days
  Tj     =   0.105850 +/- 0.2644
Shower association:
  IAU No.  =  210
  IAU code =  BAU

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.647698e-03, +5.206924e-06, +1.277927e-02, -4.672311e-09, +1.951632e-04, +2.174837e-04
q   , +5.206924e-06, +5.491568e-08, +5.092269e-05, -1.489970e-11, +1.001735e-06, +6.953820e-07
Tp  , +1.277927e-02, +5.092269e-05, +7.659453e-02, -2.548019e-08, +1.299031e-03, +1.186992e-03
node, -4.672311e-09, -1.489970e-11, -2.548019e-08, +1.936420e-14, -4.182081e-10, -9.052561e-10
peri, +1.951632e-04, +1.001735e-06, +1.299031e-03, -4.182081e-10, +2.293698e-05, +1.949039e-05
i   , +2.174837e-04, +6.953820e-07, +1.186992e-03, -9.052561e-10, +1.949039e-05, +4.232252e-05

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: UK0021
  Avg. res. = 1.969e-06 s
  Stddev    = 1.40e-03 s

Begin point on the trajectory:
  Lon =    -3.182307 +/- 0.0004 deg
  Lat =    49.630970 +/- 0.0003 deg
  Ht  = 114503.56 +/- 20.28 m
End point on the trajectory:
  Lon =    -3.338024 +/- 0.0003 deg
  Lat =    49.601045 +/- 0.0003 deg
  Ht  = 93926.05 +/- 13.49 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   114503.56,    93926.05,          0.017662,      2.88,     49.37,              55.58, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210929_032546_548_0800256.fits"}
    UK003C,   False,    -4.949858,    50.224871,   55.00,   0.000000,   0.000000,   111789.72,    95745.42,          0.004694,      9.66,     10.47,              34.88, 1.0000,    True,    True, {"ff_name": "FF_UK003C_20210929_032544_384_0793856.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,     UK0021,       0,  0.000000, 2459486.642940083519,  64.52007,   3.99455,              168.46698,  42.76339,       168.45952,       42.75926,     64.52007,      +3.99455,      64.52604,       +3.99115,  2332147.10,  3509129.69,  4923581.80,      49.630970,       -3.182307,  114503.56,  166923.56,       0.00,               60.16,    36.50,      0.00,           66585.37,     19.93,      1.17,          24.67,  +2.55,  +1.44
  1,     UK0021,       0,  0.040620, 2459486.642940553837,  64.13100,   3.34089,              169.09869,  42.16267,       169.08036,       42.15259,     64.13100,      +3.34089,      64.14589,       +3.33251,  2332534.59,  3507423.05,  4921579.83,      49.627636,       -3.199715,  112196.67,  165426.28,    2659.07,             2598.92,   -92.01,  65462.15,           66585.37,     48.75,      2.87,          60.90,  +1.54,  +0.45
  2,     UK0021,       0,  0.081268, 2459486.642941024154,  63.76297,   2.65128,              169.69669,  41.52067,       169.70597,       41.52575,     63.76297,      +2.65128,      63.75582,       +2.65554,  2332925.67,  3505700.59,  4919559.31,      49.624267,       -3.217294,  109868.65,  163945.18,    5342.78,             5282.62,   -77.41,  66023.09,           66585.37,    -24.60,     -1.44,          31.00,  +0.81,  -0.26
  3,     UK0021,       0,  0.121948, 2459486.642941494938,  63.34700,   1.93817,              170.34974,  40.85752,       170.35379,       40.85972,     63.34700,      +1.93817,      63.34423,       +1.94003,  2333331.48,  3503913.28,  4917462.71,      49.620765,       -3.235539,  107453.26,  162441.16,    8127.54,             8067.38,    36.15,  68455.31,           66585.37,    -10.68,     -0.63,          13.58,  +0.21,  -0.84
  4,     UK0021,       0,  0.162596, 2459486.642941965256,  62.98639,   1.24875,              170.91506,  40.20896,       170.95251,       40.22922,     62.98639,      +1.24875,      62.95660,       +1.26605,  2333707.00,  3502259.34,  4915522.58,      49.617519,       -3.252444,  105218.36,  161079.82,   10704.49,            10644.33,   -56.01,  63396.61,           66115.99,    -98.35,     -5.71,         126.15,  +0.07,  -0.97
  5,     UK0021,       0,  0.203312, 2459486.642942436505,  62.55249,   0.50316,              171.57131,  39.50869,       171.60343,       39.52599,     62.55249,      +0.50316,      62.52705,       +0.51809,  2334116.49,  3500455.78,  4913406.92,      49.613975,       -3.270874,  102781.55,  159629.84,   13514.56,            13454.40,    80.50,  69016.47,           66396.94,    -84.07,     -4.89,         108.81,  +0.08,  -0.94
  6,     UK0021,       0,  0.244024, 2459486.642942907754,  62.10841,  -0.23031,              172.22621,  38.81778,       172.23736,       38.82376,     62.10841,      -0.23031,      62.10027,       -0.22511,  2334516.21,  3498695.29,  4911341.78,      49.610510,       -3.288879,  100403.20,  158249.96,   16257.54,            16197.38,   150.17,  67375.15,           66602.17,    -29.06,     -1.71,          37.95,  +0.12,  -0.88
  7,     UK0021,       0,  0.284716, 2459486.642943379004,  61.69919,  -0.94515,              172.82242,  38.13910,       172.83509,       38.14586,     61.69919,      -0.94515,      61.68991,       -0.93920,  2334893.90,  3497031.77,  4909390.40,      49.607231,       -3.305912,   98156.11,  156979.10,   18849.42,            18789.26,    70.05,  63695.03,           66445.20,    -32.93,     -1.93,          43.35,  +0.06,  -0.92
  8,     UK0021,       0,  0.325480, 2459486.642943850718,  61.24983,  -1.73742,              173.46484,  37.38308,       173.48283,       37.39264,     61.24983,      -1.73742,      61.23624,       -1.72892,  2335304.72,  3495222.37,  4907267.89,      49.603659,       -3.324434,   95712.25,  155634.33,   21668.59,            21608.43,   212.50,  69158.32,           66553.28,    -46.62,     -2.74,          61.89,  +0.19,  -0.77
  9,     UK0021,       0,  0.366048, 2459486.642944320105,  60.89867,  -2.31577,              173.95419,  36.83050,       173.95648,       36.83171,     60.89867,      -2.31577,      60.89829,       -2.31469,  2335605.01,  3493899.80,  4905716.45,      49.601045,       -3.338024,   93926.05,  154676.33,   23729.26,            23669.10,  -390.68,  50795.50,           65751.28,     -5.93,     -0.35,           7.92,  +2.12,  +1.17
  0,     UK003C,       0,  0.045289, 2459486.642940645572, 101.25778,  13.47099,              117.25480,  37.31998,       117.25652,       37.32103,    101.25778,     +13.47099,     101.25621,      +13.47104,  2332602.95,  3507121.97,  4921226.65,      49.627048,       -3.202791,  111789.72,  181643.18,       0.00,             3068.02,    70.53,      0.00,           65092.99,     -4.02,      3.71,           6.21,  +2.81,  +1.51
  1,     UK003C,       0,  0.085569, 2459486.642941111699, 101.24514,  12.99581,              117.61500,  36.94120,       117.62167,       36.94526,    101.24514,     +12.99581,     101.23863,      +12.99601,  2332978.16,  3505469.43,  4919288.15,      49.623814,       -3.219663,  109556.24,  179541.88,    2574.77,             5642.79,     0.36,  63921.87,           65092.99,    -15.44,     14.26,          24.14,  +1.33,  +0.06
  2,     UK003C,       0,  0.125857, 2459486.642941578291, 101.22163,  12.48876,              118.00540,  36.54150,       118.00746,       36.54275,    101.22163,     +12.48876,     101.22005,      +12.48882,  2333369.31,  3503746.63,  4917267.23,      49.620438,       -3.237255,  107228.06,  177365.08,    5259.01,             8327.03,    39.13,  66626.23,           65092.99,     -4.71,      4.35,           7.46,  +0.63,  -0.61
  3,     UK003C,       0,  0.166141, 2459486.642942044418, 101.19865,  11.98821,              118.38673,  36.14563,       118.38448,       36.14426,    101.19865,     +11.98821,     101.20169,      +11.98814,  2333746.30,  3502086.24,  4915319.51,      49.617180,       -3.254225,  104984.46,  175280.29,    7846.02,            10914.04,   -19.05,  64219.40,           65092.99,      5.13,     -4.73,           8.21,  +0.22,  -1.00
  4,     UK003C,       0,  0.206441, 2459486.642942511011, 101.17601,  11.45995,              118.78350,  35.72570,       118.77809,       35.72243,    101.17601,     +11.45995,     101.18246,      +11.45978,  2334134.65,  3500375.82,  4913313.12,      49.613818,       -3.271711,  102673.52,  173147.30,   10510.97,            13578.99,    -0.36,  66127.68,           65263.76,     12.15,    -11.21,          19.69,  +0.21,  -0.98
  5,     UK003C,       0,  0.246785, 2459486.642942977604, 101.16997,  10.88366,              119.19323,  35.25575,       119.20218,       35.26114,    101.16997,     +10.88366,     101.16177,      +10.88394,  2334547.29,  3498558.39,  4911181.18,      49.610240,       -3.290292,  100218.26,  170897.95,   13342.67,            16410.69,   182.19,  70188.79,           66017.16,    -19.90,     18.37,          32.69,  +0.20,  -0.96
  6,     UK003C,       0,  0.287077, 2459486.642943444196, 101.14176,  10.36542,              119.58018,  34.84465,       119.58028,       34.84472,    101.14176,     +10.36542,     101.14286,      +10.36542,  2334909.86,  3496961.50,  4909307.96,      49.607092,       -3.306648,   98061.19,  168935.13,   15830.73,            18898.75,    24.53,  61750.82,           65828.96,     -0.24,      0.22,           0.40,  +0.39,  -0.75
  7,     UK003C,       0,  0.327405, 2459486.642943910789, 101.12354,   9.79506,              119.98903,  34.38376,       119.99152,       34.38526,    101.12354,      +9.79506,     101.12234,       +9.79513,  2335299.14,  3495246.94,  4907296.71,      49.603708,       -3.324206,   95745.42,  166844.10,   18502.13,            21570.15,    47.83,  66241.77,           65784.99,     -5.44,      5.02,           9.15,  +0.47,  -0.64
  8,     UK003C,       1,  0.367625, 2459486.642944376450, 101.09599,   9.39611,              120.28697,  34.06879,       120.27773,       34.06327,    101.09599,      +9.39611,     101.10711,       +9.39582,  2335566.15,  3494070.95,  4905917.22,      49.601383,       -3.336307,   94157.18,  165416.95,   20334.41,            23402.42,  -760.89,  45556.36,           64418.85,     20.05,    -18.48,          34.00,  +5.67,  +4.58

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.