Orbital Analysis for matched events on 20211111_231940.088_UK

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Summary for Event
-----------------
shower ID 334 DAD (December alpha Draconids)
Lg 122.10° Bg 60.91° Vg 37.65km/s
mass 0.01637g, abs. mag 1.1
best visual mag 1.4
Path Details
------------
start -2.76° 50.94° 102.81km
end   -2.80° 50.83° 92.88km

Orbit Details
-------------
Semimajor axis 1.72A.U., eccentricity 0.45, inclination 69.02°, Period 2.26Y, LA Sun 229.49°, last Perihelion 2019-09-05

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: 2459530.471991762053
Time: 2021-11-11 23:19:40.088241 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003E and UK003J
 Convergence angle = 17.05160 deg
 R.A. = 168.58197  Dec = +75.86864 deg

Best intersection: Stations UK003E and UK003J with Qconv = 17.05 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3203853.22 +/- 143.40 m
 Y =   2546243.38 +/- 63.09 m
 Z =   5008858.57 +/- 78.68 m
 Vx =    -9579.45 +/- 543.88 m/s
 Vy =     1503.53 +/- 231.85 m/s
 Vz =    38036.42 +/- 261.78 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.206509e+04, +9.498349e+03, +1.198280e+04, +8.118151e+04, +3.479167e+04, +3.938150e+04
+9.498349e+03, +4.285385e+03, +5.242625e+03, +3.395684e+04, +1.554132e+04, +1.662042e+04
+1.198280e+04, +5.242625e+03, +6.663636e+03, +4.395066e+04, +1.909702e+04, +2.135895e+04
+8.118151e+04, +3.395684e+04, +4.395066e+04, +3.249907e+05, +1.315572e+05, +1.544361e+05
+3.479167e+04, +1.554132e+04, +1.909702e+04, +1.315572e+05, +5.901875e+04, +6.349313e+04
+3.938150e+04, +1.662042e+04, +2.135895e+04, +1.544361e+05, +6.349313e+04, +7.375524e+04

Timing offsets (from input data):
    UK003E: -0.000067 s
    UK003J: 0.000000 s
    UK003M: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-11 23:19:40.088241 UTC
  Lon     = +-2.757292 +/- 0.0006 deg
  Lat     = +50.935259 +/- 0.0006 deg
  Lat geo = +50.749817 +/- 0.0006 deg
  Ht      =  102791.57 +/- 155.80 m

  JD dynamic   = 2459530.472792502958 
  LST apparent = 38.4757136560 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 171.08000 +/- 2.1784 deg
  Dec       = +75.69808 +/- 0.7802 deg
  Azimuth   =  13.79571 +/- 0.2265 deg
  Elevation = +40.31481 +/- 0.9087 deg
  Vavg      =  39.32055 +/- 0.0999 km/s
  Vinit     =  39.25297 +/- 0.1441 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 169.91295 +/- 2.1784 deg
  Dec       = +75.38493 +/- 0.7802 deg
  Azimuth   =  14.34918 +/- 0.2265 deg
  Elevation = +40.24638 +/- 0.9087 deg
  Vavg      =  39.37591 +/- 0.0999 km/s
  Vinit     =  39.30833 +/- 0.1441 km/s
Radiant (geocentric, J2000):
  R.A.   = 173.32916 +/- 1.9896 deg
  Dec    = +74.92389 +/- 0.8277 deg
  Vg     =  37.65035 +/- 0.1502 km/s
  Vinf   =  39.25297 +/- 0.1441 km/s
  Zc     =  49.86530 +/- 0.9086 deg
  Zg     =  50.97540 +/- 0.9391 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 122.10298 +/- 1.9470 deg
  Bg     = +60.91460 +/- 0.1440 deg
  Vh     =  35.72688 +/- 0.3371 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 344.48200 +/- 1.6917 deg
  Bh     = +67.06730 +/- 0.5592 deg
  Vh_x   = -13.41350 +/- 0.5405 km/s
  Vh_y   =   3.72443 +/- 0.3188 km/s
  Vh_z   = -32.90314 +/- 0.1672 km/s
Orbit:
  La Sun = 229.492062 +/- 0.0000 deg
  a      =   1.719682 +/- 0.0940 AU
  e      =   0.449758 +/- 0.0290
  i      =  69.019171 +/- 0.2260 deg
  peri   = 210.942142 +/- 1.3365 deg
  node   = 229.491938 +/- 0.0000 deg
  Pi     =  80.434080 +/- 1.3365 deg
  q      =   0.946241 +/- 0.0062 AU
  f      = 329.058589 +/- 1.3365 deg
  M      = 349.186551 +/- 0.5591 deg
  Q      =   2.493122 +/- 0.1940 AU
  n      =   0.437051 +/- 0.0300 deg/day
  T      =   2.255136 +/- 0.1920 years
  Last perihelion JD = 2458731.511983 (2019-09-05 00:17:15.314924) +/- 69.5585 days
  Tj     =   3.393959 +/- 0.1370
Shower association:
  IAU No.  =  334
  IAU code =  DAD

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +9.028383e-04, -1.880028e-04, -2.150988e+00, -9.376162e-08, +3.945596e-02, -6.806974e-03
q   , -1.880028e-04, +4.086536e-05, +4.426133e-01, +1.865219e-08, -8.794477e-03, +1.353992e-03
Tp  , -2.150988e+00, +4.426133e-01, +5.167056e+03, +2.254011e-04, -9.195124e+01, +1.636190e+01
node, -9.376162e-08, +1.865219e-08, +2.254011e-04, +1.035445e-11, -3.803259e-06, +7.520004e-07
peri, +3.945596e-02, -8.794477e-03, -9.195124e+01, -3.803259e-06, +1.922490e+00, -2.760859e-01
i   , -6.806974e-03, +1.353992e-03, +1.636190e+01, +7.520004e-07, -2.760859e-01, +5.461507e-02

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: UK003J
  Avg. res. = 1.847e-05 s
  Stddev    = 4.30e-03 s

Begin point on the trajectory:
  Lon =    -2.757211 +/- 0.0006 deg
  Lat =    50.935467 +/- 0.0006 deg
  Ht  = 102812.10 +/- 153.64 m
End point on the trajectory:
  Lon =    -2.797946 +/- 0.0005 deg
  Lat =    50.834686 +/- 0.0005 deg
  Ht  = 92884.05 +/- 74.91 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
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,    98045.41,    92884.05,          0.012668,     20.94,     19.75,              79.91, 1.0000,   False,    True, {"ff_name": "FF_UK003E_20211111_231940_771_0569856.fits"}
    UK003J,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   102812.10,    94579.29,          0.006840,      7.80,     11.37,              75.25, 1.0000,    True,    True, {"ff_name": "FF_UK003J_20211111_231932_086_0566016.fits"}
    UK003M,    True,    -1.801740,    51.352050,  131.00,   0.000000,   0.000000,   100291.63,    94296.61,          0.035241,       nan,       nan,              79.92, 0.0000,    True,    True, {"ff_name": "FF_UK003M_20211111_231938_702_0567808.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,     UK003E,       0,  0.194265, 2459530.471994011197,   4.96955,  19.47669,              233.21605,  48.23388,       233.23020,       48.22873,      4.96955,     +19.47669,       4.95898,      +19.47733,  3205644.31,  2545962.26,  5001746.84,      50.887145,       -2.776781,   98045.41,  130508.50,       0.00,             7339.20,   -42.03,      0.00,           39596.44,    -16.79,     17.80,          38.67,  +1.93,  +1.35
  1,     UK003E,       0,  0.234789, 2459530.471994480118,   4.92436,  18.69399,              232.65462,  47.54634,       232.67945,       47.53734,      4.92436,     +18.69399,       4.90529,      +18.69512,  3206080.87,  2545893.74,  5000013.39,      50.875407,       -2.781501,   96889.26,  130353.40,    1788.89,             9128.08,   156.17,  44143.90,           39596.44,    -29.71,     31.48,          68.50,  +1.63,  +1.05
  2,     UK003E,       0,  0.275221, 2459530.471994948108,   4.85889,  18.06801,              232.25140,  46.97991,       232.24934,       46.98065,      4.85889,     +18.06801,       4.86171,      +18.06791,  3206430.13,  2545838.92,  4998626.62,      50.866012,       -2.785311,   95964.50,  130248.16,    3220.01,            10559.21,     0.21,  35395.81,           39596.44,      2.48,     -2.63,           5.72,  +1.54,  +0.97
  3,     UK003E,       0,  0.315709, 2459530.471995417029,   4.81672,  17.34551,              231.75762,  46.34056,       231.76433,       46.33814,      4.81672,     +17.34551,       4.81257,      +17.34582,  3206831.65,  2545775.90,  4997032.35,      50.855209,       -2.789664,   94901.60,  130145.63,    4865.27,            12204.47,    56.20,  40635.81,           39596.44,     -8.15,      8.64,          18.82,  +1.52,  +0.95
  4,     UK003E,       0,  0.356177, 2459530.471995885018,   4.76006,  16.67102,              231.32778,  45.73324,       231.32147,       45.73550,      4.76006,     +16.67102,       4.76670,      +16.67073,  3207206.47,  2545717.07,  4995544.05,      50.845121,       -2.793739,   93909.55,  130069.08,    6401.18,            13740.37,     3.62,  37953.50,           39231.91,      7.71,     -8.17,          17.81,  +2.14,  +1.57
  5,     UK003E,       0,  0.396665, 2459530.471996353939,   4.69649,  15.97323,              230.89915,  45.10069,       230.87292,       45.11010,      4.69649,     +15.97323,       4.71971,      +15.97202,  3207594.02,  2545656.25,  4994005.25,      50.834686,       -2.797946,   92884.05,  130008.80,    7989.19,            15328.39,     2.35,  39221.79,           39126.30,     32.31,    -34.29,          74.75,  +4.42,  +3.85
  0,     UK003J,       0,  0.000000, 2459530.471991762053,  23.97197,  25.44475,              209.29179,  61.70500,       209.31635,       61.70256,     23.97197,     +25.44475,      23.95892,      +25.44639,  3203845.48,  2546244.59,  5008889.32,      50.935467,       -2.757211,  102812.10,  116308.24,       0.00,               31.73,   275.99,      0.00,           37433.22,    -19.91,     13.66,          42.83,  +4.55,  +4.22
  1,     UK003J,       0,  0.081172, 2459530.471992701758,  23.72778,  24.02496,              208.74628,  60.29253,       208.74235,       60.29292,     23.72778,     +24.02496,      23.73027,      +24.02469,  3204571.14,  2546130.70,  5006007.98,      50.915983,       -2.765119,  100888.63,  115669.09,    2973.50,             2941.77,    -0.21,  36632.12,           37433.22,      3.31,     -2.27,           7.15,  +3.01,  +2.69
  2,     UK003J,       0,  0.121820, 2459530.471993172076,  23.60218,  23.23896,              208.45181,  59.51200,       208.44477,       59.51270,     23.60218,     +23.23896,      23.60661,      +23.23847,  3204969.12,  2546068.23,  5004427.75,      50.905292,       -2.769439,   99834.05,  115349.41,    4604.27,             4572.53,    35.00,  40119.24,           37433.22,      6.04,     -4.15,          13.11,  +2.14,  +1.83
  3,     UK003J,       0,  0.162404, 2459530.471993641928,  23.48269,  22.53896,              208.21586,  58.81380,       208.19196,       58.81618,     23.48269,     +22.53896,      23.49689,      +22.53727,  3205322.20,  2546012.82,  5003025.81,      50.895804,       -2.773290,   98898.62,  115084.76,    6051.06,             6019.32,  -111.26,  35649.21,           37433.22,     20.87,    -14.33,          45.37,  +1.91,  +1.60
  4,     UK003J,       0,  0.203104, 2459530.471994112711,  23.37027,  21.69016,              207.89093,  57.97575,       207.89792,       57.97505,     23.37027,     +21.69016,      23.36709,      +21.69066,  3205746.43,  2545946.23,  5001341.34,      50.884400,       -2.777883,   97774.93,  114789.57,    7789.40,             7757.67,    29.49,  42711.17,           38161.31,     -6.23,      4.28,          13.58,  +1.63,  +1.33
  5,     UK003J,       0,  0.243688, 2459530.471994582564,  23.26321,  20.98985,              207.65924,  57.27933,       207.66675,       57.27859,     23.26321,     +20.98985,      23.25985,      +20.99040,  3206095.67,  2545891.42,  4999954.65,      50.875009,       -2.781693,   96850.07,  114566.34,    9220.44,             9188.71,  -132.51,  35261.20,           38094.57,     -6.81,      4.68,          14.87,  +1.75,  +1.45
  6,     UK003J,       0,  0.284452, 2459530.471995054279,  23.11674,  20.07687,              207.38364,  56.36851,       207.37490,       56.36938,     23.11674,     +20.07687,      23.12312,      +20.07622,  3206549.68,  2545820.16,  4998151.95,      50.862796,       -2.786595,   95648.02,  114301.48,   11080.80,            11049.06,   127.74,  45637.26,           38749.48,      8.09,     -5.56,          17.72,  +1.46,  +1.17
  7,     UK003J,       0,  0.325136, 2459530.471995525062,  22.99920,  19.25986,              207.12878,  55.55647,       207.12686,       55.55667,     22.99920,     +19.25986,      23.00172,      +19.25972,  3206953.42,  2545756.79,  4996548.82,      50.851932,       -2.790972,   94579.29,  114091.28,   12735.20,            12703.46,   185.17,  40664.62,           39191.50,      1.81,     -1.24,           3.97,  +1.70,  +1.41
  0,     UK003M,       1,  0.100579, 2459530.471992926206,   5.09265,  20.98316,              234.29836,  49.56671,       234.33840,       49.55204,      5.09265,     +20.98316,       5.06118,      +20.98496,  3204796.43,  2546095.34,  5005113.46,      50.909931,       -2.767549,  100291.63,  130890.07,       0.00,             3864.90,   161.15,      0.00,           37932.00,    -46.78,     49.54,         107.38,  +3.17,  +2.59
  1,     UK003M,       1,  0.141211, 2459530.471993396524,   5.00692,  20.22088,              233.77145,  48.88179,       233.77131,       48.88185,      5.00692,     +20.22088,       5.00763,      +20.22087,  3205225.20,  2546028.04,  5003410.95,      50.898410,       -2.772190,   99155.60,  130691.47,    1756.96,             5621.86,   323.18,  43240.77,           37932.00,      0.17,     -0.18,           0.39,  +2.16,  +1.58
  2,     UK003M,       1,  0.181651, 2459530.471993864514,   4.96268,  19.69799,              233.40142,  48.41770,       233.39343,       48.42061,      4.96268,     +19.69799,       4.96986,      +19.69763,  3205517.93,  2545982.09,  5002248.62,      50.890543,       -2.775411,   98380.14,  130571.26,    2956.47,             6821.37,   -64.70,  29661.40,           37932.00,      9.47,    -10.04,          21.80,  +2.10,  +1.52
  3,     UK003M,       1,  0.222299, 2459530.471994334832,   4.89138,  18.92490,              232.87426,  47.72624,       232.84422,       47.73714,      4.89138,     +18.92490,       4.91654,      +18.92354,  3205950.32,  2545914.23,  5000531.79,      50.878918,       -2.780088,   97234.99,  130410.81,    4728.20,             8593.10,   111.48,  43587.33,           37932.00,     35.84,    -38.03,          82.65,  +1.78,  +1.20
  4,     UK003M,       1,  0.262819, 2459530.471994803753,   4.84202,  18.30401,              232.45208,  47.17289,       232.41491,       47.18635,      4.84202,     +18.30401,       4.87322,      +18.30232,  3206296.48,  2545859.90,  4999157.28,      50.869608,       -2.783866,   96318.34,  130300.84,    6146.68,            10011.58,   -60.57,  35006.72,           37638.96,     44.65,    -47.39,         103.07,  +1.39,  +0.82
  5,     UK003M,       1,  0.303363, 2459530.471995273139,   4.78576,  17.65522,              232.02627,  46.59058,       231.97531,       46.60898,      4.78576,     +17.65522,       4.82846,      +17.65289,  3206657.81,  2545803.19,  4997722.60,      50.859887,       -2.787801,   95361.75,  130202.22,    7627.24,            11492.14,  -171.48,  36517.55,           37395.07,     61.63,    -65.43,         142.39,  +2.31,  +1.74
  6,     UK003M,       1,  0.343967, 2459530.471995742992,   4.70527,  16.93273,              231.58440,  45.93136,       231.49541,       45.96342,      4.70527,     +16.93273,       4.77943,      +16.92866,  3207060.22,  2545740.03,  4996124.79,      50.849057,       -2.792164,   94296.61,  130111.46,    9276.16,            13141.06,  -116.39,  40609.76,           37652.82,    108.45,   -115.25,         250.87,  +2.70,  +2.13

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.