Orbital Analysis for matched events on 20210929_212713.906_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 206.44° Bg 81.19° Vg 21.97km/s
mass 0.01014g, abs. mag 2.7
Path Details
------------
start -1.45° 52.60° 95.58km
end   -1.38° 52.56° 86.83km

Orbit Details
-------------
Semimajor axis 2.61A.U., eccentricity 0.62, inclination 35.12°, Period 4.23Y, LA Sun 186.65°, last Perihelion 2021-09-21

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: 2459487.393910949584
Time: 2021-09-29 21:27:13.906044 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003U and UK003X
 Convergence angle = 76.36892 deg
 R.A. = 230.65580  Dec = +58.96416 deg

Best intersection: Stations UK003U and UK003X with Qconv = 76.37 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3385322.15 +/- 38.43 m
 Y =  -2016576.03 +/- 29.60 m
 Z =   5119378.01 +/- 55.36 m
 Vx =    -2429.71 +/- 137.49 m/s
 Vy =   -11169.63 +/- 15.53 m/s
 Vz =    21806.66 +/- 95.31 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.560700e+03, -2.715970e+02, -2.221573e+02, +5.586021e+03, -1.265314e+03, -3.414293e+02
-2.715970e+02, +8.527973e+02, -1.425221e+03, -1.434762e+03, +4.926268e+02, -6.869369e+01
-2.221573e+02, -1.425221e+03, +3.024440e+03, +1.221629e+02, +5.047899e+01, +9.784490e+02
+5.586021e+03, -1.434762e+03, +1.221629e+02, +2.338711e+04, -4.046178e+03, -7.352957e+02
-1.265314e+03, +4.926268e+02, +5.047899e+01, -4.046178e+03, +3.897143e+03, -1.823850e+03
-3.414293e+02, -6.869369e+01, +9.784490e+02, -7.352957e+02, -1.823850e+03, +7.478183e+03

Timing offsets (from input data):
    UK003U: 0.000026 s
    UK003X: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 21:27:13.906044 UTC
  Lon     = +-1.445744 +/- 0.0004 deg
  Lat     = +52.597320 +/- 0.0003 deg
  Lat geo = +52.414210 +/- 0.0003 deg
  Ht      =   95531.67 +/- 56.05 m

  JD dynamic   = 2459487.394711690489 
  LST apparent = 329.2184971073 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 257.72773 +/- 0.7448 deg
  Dec       = +62.33692 +/- 0.1118 deg
  Azimuth   = 313.71238 +/- 0.2541 deg
  Elevation = +52.47679 +/- 0.3290 deg
  Vavg      =  24.66792 +/- 0.0333 km/s
  Vinit     =  24.62102 +/- 0.0824 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 258.19611 +/- 0.7448 deg
  Dec       = +62.90063 +/- 0.1118 deg
  Azimuth   = 314.48163 +/- 0.2541 deg
  Elevation = +52.85961 +/- 0.3290 deg
  Vavg      =  24.54278 +/- 0.0333 km/s
  Vinit     =  24.49587 +/- 0.0824 km/s
Radiant (geocentric, J2000):
  R.A.   = 253.24680 +/- 0.7679 deg
  Dec    = +61.58623 +/- 0.1211 deg
  Vg     =  21.97265 +/- 0.0921 km/s
  Vinf   =  24.62102 +/- 0.0824 km/s
  Zc     =  37.64994 +/- 0.3294 deg
  Zg     =  39.87016 +/- 0.3498 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 206.44117 +/- 1.5220 deg
  Bg     = +81.18853 +/- 0.3021 deg
  Vh     =  37.84278 +/- 0.0708 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 271.68580 +/- 0.2559 deg
  Bh     = +35.01802 +/- 0.1240 deg
  Vh_x   =  -0.91174 +/- 0.1392 km/s
  Vh_y   =  30.97875 +/- 0.0526 km/s
  Vh_z   = -21.71548 +/- 0.0938 km/s
Orbit:
  La Sun = 186.654116 +/- 0.0000 deg
  a      =   2.614297 +/- 0.0442 AU
  e      =   0.619394 +/- 0.0059
  i      =  35.119530 +/- 0.1256 deg
  peri   = 169.357225 +/- 0.5676 deg
  node   = 186.656114 +/- 0.0000 deg
  Pi     = 356.013339 +/- 0.5676 deg
  q      =   0.995018 +/- 0.0007 AU
  f      =  10.640233 +/- 0.5676 deg
  M      =   1.971979 +/- 0.1325 deg
  Q      =   4.233575 +/- 0.0880 AU
  n      =   0.233170 +/- 0.0055 deg/day
  T      =   4.227006 +/- 0.1089 years
  Last perihelion JD = 2459478.937436 (2021-09-21 10:29:54.480416) +/- 0.4518 days
  Tj     =   2.900966 +/- 0.0304
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.906495e-05, +1.991870e-06, +1.447987e-03, -5.779849e-10, +3.000421e-05, +7.580499e-06
q   , +1.991870e-06, +5.657922e-07, +3.503032e-04, +1.361538e-11, +7.701535e-06, -1.762489e-07
Tp  , +1.447987e-03, +3.503032e-04, +2.184008e-01, +4.877417e-09, +4.789381e-03, -6.262482e-05
node, -5.779849e-10, +1.361538e-11, +4.877417e-09, +3.226554e-14, +1.426995e-10, -4.244220e-10
peri, +3.000421e-05, +7.701535e-06, +4.789381e-03, +1.426995e-10, +1.051318e-04, -1.841543e-06
i   , +7.580499e-06, -1.762489e-07, -6.262482e-05, -4.244220e-10, -1.841543e-06, +5.582990e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.650604
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK003X
  Avg. res. = 2.312e-05 s
  Stddev    = 4.81e-03 s

Begin point on the trajectory:
  Lon =    -1.446099 +/- 0.0002 deg
  Lat =    52.597527 +/- 0.0003 deg
  Ht  = 95575.65 +/- 23.60 m
End point on the trajectory:
  Lon =    -1.377335 +/- 0.0002 deg
  Lat =    52.556363 +/- 0.0002 deg
  Ht  = 86833.75 +/- 24.57 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
    UK003U,   False,    -1.740490,    53.069201,  240.00,   0.000000,   0.000000,    94246.73,    87213.80,          0.008244,     15.53,      0.91,              71.44, 1.0000,    True,    True, {"ff_name": "FF_UK003U_20210929_212707_594_0275456.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,  27.092019,   0.000000,    95575.65,    86833.75,          0.021786,     55.86,     14.16,              53.64, 1.0000,    True,    True, {"ff_name": "FF_UK003X_20210929_212705_489_0274432.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,     UK003U,       0,  0.069557, 2459487.393911754712, 340.82332,  22.71065,              158.76742,  58.31719,       158.75728,       58.31876,    340.82332,     +22.71065,     340.82882,      +22.71344,  3385482.04, -2015841.00,  5117942.99,      52.591281,       -1.435662,   94246.73,  110163.17,       0.00,             1620.23,   -32.21,      0.00,           24484.87,      0.63,    -10.66,          19.99,  +5.53,  +5.32
  1,     UK003U,       0,  0.110001, 2459487.393912222702, 341.10521,  22.26375,              158.48922,  57.82129,       158.49127,       57.82097,    341.10521,     +22.26375,     341.10461,      +22.26318,  3385589.08, -2015348.93,  5116982.32,      52.587236,       -1.428886,   93386.60,  109738.72,    1084.66,             2704.89,    56.68,  26818.73,           24484.87,     -0.13,      2.17,           4.09,  +3.87,  +3.67
  2,     UK003U,       0,  0.150417, 2459487.393912690692, 341.36676,  21.83883,              158.23956,  57.35074,       158.24690,       57.34961,    341.36676,     +21.83883,     341.36354,      +21.83677,  3385689.61, -2014886.80,  5116080.10,      52.583436,       -1.422533,   92578.85,  109348.16,    2103.32,             3723.55,    80.25,  25204.38,           24484.87,     -0.46,      7.85,          14.83,  +4.02,  +3.83
  3,     UK003U,       0,  0.190769, 2459487.393913157750, 341.59252,  21.48348,              158.02189,  56.95533,       158.04701,       56.95144,    341.59252,     +21.48348,     341.58004,      +21.47640,  3385773.96, -2014499.03,  5115323.04,      52.580246,       -1.417228,   91901.09,  109026.25,    2958.08,             4578.31,   -58.49,  21182.61,           24484.87,     -1.59,     27.05,          51.26,  +2.94,  +2.75
  4,     UK003U,       0,  0.231253, 2459487.393913626205, 341.87542,  20.98367,              157.77683,  56.40648,       157.77716,       56.40643,    341.87542,     +20.98367,     341.87621,      +20.98357,  3385888.38, -2013973.03,  5114296.12,      52.575917,       -1.409972,   90981.79,  108599.52,    4117.54,             5737.76,   104.21,  28639.92,           25011.59,     -0.02,      0.35,           0.68,  +2.50,  +2.32
  5,     UK003U,       0,  0.271641, 2459487.393914093729, 342.11650,  20.58453,              157.55922,  55.96438,       157.56542,       55.96343,    342.11650,     +20.58453,     342.11430,      +20.58275,  3385980.72, -2013548.51,  5113467.33,      52.572423,       -1.404148,   90239.89,  108262.40,    5053.29,             6673.52,    45.57,  23169.05,           24898.92,     -0.40,      6.79,          12.95,  +2.51,  +2.34
  6,     UK003U,       0,  0.312041, 2459487.393914561253, 342.36049,  20.17628,              157.34367,  55.51245,       157.35409,       55.51084,    342.36049,     +20.17628,     342.35612,      +20.17327,  3386074.40, -2013117.88,  5112626.59,      52.568877,       -1.398236,   89487.34,  107927.57,    6002.53,             7622.76,     0.12,  23496.13,           24708.44,     -0.68,     11.50,          22.01,  +3.00,  +2.83
  7,     UK003U,       0,  0.352521, 2459487.393915029708, 342.63015,  19.67266,              157.13126,  54.96177,       157.10446,       54.96591,    342.63015,     +19.67266,     342.64636,      +19.68048,  3386186.26, -2012603.65,  5111622.65,      52.564641,       -1.391145,   88588.76,  107537.72,    7136.04,             8756.27,   136.97,  28001.75,           24903.98,      1.75,    -29.85,          57.35,  +2.75,  +2.59
  8,     UK003U,       0,  0.392809, 2459487.393915496301, 342.82739,  19.38468,              156.94316,  54.63661,       156.95939,       54.63411,    342.82739,     +19.38468,     342.82005,      +19.37991,  3386254.08, -2012291.85,  5111013.91,      52.562072,       -1.386911,   88043.89,  107305.38,    7823.34,             9443.57,  -167.66,  17059.55,           24474.00,     -1.07,     18.17,          34.99,  +3.00,  +2.85
  9,     UK003U,       0,  0.433253, 2459487.393915964290, 343.09130,  18.92154,              156.72768,  54.12583,       156.73660,       54.12445,    343.09130,     +18.92154,     343.08813,      +18.91890,  3386357.43, -2011816.77,  5110086.41,      52.558157,       -1.380371,   87213.80,  106960.19,    8870.55,            10490.77,  -116.23,  25892.80,           24332.41,     -0.59,     10.07,          19.45,  +3.46,  +3.31
  0,     UK003X,       0,  0.000000, 2459487.393910949584,  78.07873,  64.13155,               31.35953,  37.91305,        31.34312,       37.89872,     78.07873,     +64.13155,      78.12297,      +64.13147,  3385316.68, -2016601.19,  5119427.13,      52.597527,       -1.446099,   95575.65,  153532.19,       0.00,               55.46,   115.57,      0.00,           24978.07,     12.72,    -50.14,          69.49,  +5.23,  +4.30
  1,     UK003X,       0,  0.040140, 2459487.393911414314,  78.13073,  63.91304,               31.54441,  37.74890,        31.54687,       37.75105,     78.13073,     +63.91304,      78.12431,      +63.91305,  3385389.50, -2016266.42,  5118773.55,      52.594777,       -1.441543,   94990.41,  153089.92,     737.94,              682.48,  -245.69,  18384.07,           24978.07,     -1.90,      7.50,          10.43,  +4.53,  +3.61
  2,     UK003X,       0,  0.080336, 2459487.393911879510,  78.25608,  63.63298,               31.75741,  37.51858,        31.80704,       37.56163,     78.25608,     +63.63298,      78.12510,      +63.63322,  3385481.86, -2015841.83,  5117944.61,      52.591287,       -1.435719,   94248.17,  152533.50,    1673.86,             1618.40,  -299.43,  23284.03,           24978.07,    -38.16,    150.51,         209.96,  +6.14,  +5.22
  3,     UK003X,       0,  0.120540, 2459487.393912344705,  78.13683,  63.22142,               32.18320,  37.27815,        32.18803,       37.28232,     78.13683,     +63.22142,      78.12473,      +63.22144,  3385616.03, -2015225.05,  5116740.47,      52.586217,       -1.427182,   93170.08,  151733.99,    3033.40,             2977.94,    70.24,  33815.96,           24978.07,     -3.70,     14.58,          20.45,  +3.26,  +2.35
  4,     UK003X,       0,  0.160680, 2459487.393912809435,  78.07086,  62.94225,               32.46536,  37.10990,        32.44444,       37.09187,     78.07086,     +62.94225,      78.12554,      +62.94216,  3385706.61, -2014808.63,  5115927.48,      52.582793,       -1.421472,   92442.21,  151197.03,    3951.32,             3895.86,    -0.13,  22867.92,           25384.08,     15.94,    -62.85,          88.45,  +3.42,  +2.52
  5,     UK003X,       0,  0.200856, 2459487.393913274165,  78.12305,  62.66264,               32.70073,  36.90153,        32.69976,       36.90069,     78.12305,     +62.66264,      78.12637,      +62.66264,  3385796.64, -2014394.75,  5115119.45,      52.579388,       -1.415798,   91718.83,  150666.90,    4863.63,             4808.17,   -76.99,  22707.89,           25117.82,      0.74,     -2.91,           4.10,  +3.13,  +2.24
  6,     UK003X,       0,  0.241064, 2459487.393913739827,  78.16238,  62.32106,               32.99570,  36.65415,        33.01023,       36.66660,     78.16238,     +62.32106,      78.12668,      +62.32112,  3385905.55, -2013894.11,  5114142.04,      52.575268,       -1.408899,   90843.86,  150031.52,    5967.19,             5911.73,    36.60,  27446.20,           25272.40,    -10.97,     43.28,          61.38,  +3.34,  +2.46
  7,     UK003X,       0,  0.281216, 2459487.393914204556,  78.10575,  62.02807,               33.28319,  36.47190,        33.27500,       36.46490,     78.10575,     +62.02807,      78.12741,      +62.02803,  3385998.45, -2013467.01,  5113308.21,      52.571752,       -1.403037,   90097.46,  149492.96,    6908.63,             6853.17,   -10.54,  23446.89,           25184.76,      6.16,    -24.29,          34.58,  +3.22,  +2.35
  8,     UK003X,       0,  0.321396, 2459487.393914669286,  78.10978,  61.71766,               33.56080,  36.25652,        33.55398,       36.25072,     78.10978,     +61.71766,      78.12800,      +61.71763,  3386096.06, -2013018.27,  5112432.13,      52.568057,       -1.396869,   89313.28,  148931.62,    7897.77,             7842.31,   -10.67,  24617.82,           25106.06,      5.11,    -20.15,          28.80,  +2.88,  +2.02
  9,     UK003X,       0,  0.361576, 2459487.393915134482,  78.08923,  61.39520,               33.85767,  36.04063,        33.84224,       36.02753,     78.08923,     +61.39520,      78.12851,      +61.39513,  3386196.68, -2012555.75,  5111529.14,      52.564247,       -1.390506,   88505.06,  148357.79,    8917.30,             8861.84,    19.59,  25374.07,           25080.62,     11.51,    -45.39,          65.11,  +2.82,  +1.96
 10,     UK003X,       0,  0.401788, 2459487.393915599678,  78.09430,  61.03178,               34.17879,  35.78678,        34.16526,       35.77534,     78.09430,     +61.03178,      78.12871,      +61.03172,  3386309.00, -2012039.41,  5110521.07,      52.559992,       -1.383383,   87602.85,  147723.40,   10055.47,            10000.01,   167.70,  28304.28,           25213.41,     10.05,    -39.62,          57.07,  +2.61,  +1.76
 11,     UK003X,       0,  0.441988, 2459487.393916065339,  78.15983,  60.71995,               34.42702,  35.54680,        34.44052,       35.55818,     78.15983,     +60.71995,      78.12933,      +60.72001,  3386404.75, -2011599.22,  5109661.69,      52.556363,       -1.377335,   86833.75,  147186.50,   11025.76,            10970.31,   148.23,  24136.62,           25248.57,     -9.99,     39.39,          56.95,  +3.51,  +2.67
 12,     UK003X,       1,  0.482096, 2459487.393916529603,  78.16186,  60.53644,               34.58754,  35.41800,        34.60136,       35.42963,     78.16186,     +60.53644,      78.13097,      +60.53650,  3386461.25, -2011339.46,  5109154.55,      52.554221,       -1.373834,   86379.82,  146869.48,   11598.35,            11542.90,  -266.68,  14276.21,           24908.77,    -10.20,     40.21,          58.26,  +6.97,  +6.14

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.