Orbital Analysis for matched events on 20211015_040852.785_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 83.01° Bg 29.65° Vg 57.00km/s
mass 0.02049g, abs. mag -0.3
best visual mag 0.8
Path Details
------------
start -1.88° 53.40° 108.01km
end   -1.87° 53.40° 92.18km

Orbit Details
-------------
Semimajor axis 4.24A.U., eccentricity 0.86, inclination 115.72°, Period 8.74Y, LA Sun 201.73°, last Perihelion 2013-03-01

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: 2459502.672833163757
Time: 2021-10-15 04:08:52.785349 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002X and UK002Z
 Convergence angle = 75.42327 deg
 R.A. =  80.07275  Dec = +53.03628 deg

Best intersection: Stations UK002X and UK002Z with Qconv = 75.42 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    387787.12 +/- 45.49 m
 Y =   3856288.37 +/- 35.70 m
 Z =   5183662.51 +/- 74.37 m
 Vx =     5853.61 +/- 281.66 m/s
 Vy =    34563.22 +/- 376.66 m/s
 Vz =    46289.69 +/- 389.69 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.174666e+03, +8.745584e+02, +3.047447e+03, +1.112684e+04, +2.675542e+03, +1.210595e+04
+8.745584e+02, +1.387537e+03, +2.035987e+03, +6.029192e+03, +4.175250e+03, +7.315439e+03
+3.047447e+03, +2.035987e+03, +5.876171e+03, +1.684215e+04, +3.880849e+03, +2.221807e+04
+1.112684e+04, +6.029192e+03, +1.684215e+04, +8.329581e+04, +3.109497e+04, +8.902670e+04
+2.675542e+03, +4.175250e+03, +3.880849e+03, +3.109497e+04, +4.128880e+04, +2.801269e+04
+1.210595e+04, +7.315439e+03, +2.221807e+04, +8.902670e+04, +2.801269e+04, +1.114490e+05

Timing offsets (from input data):
    UK002X: -0.000211 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-10-15 04:08:52.785349 UTC
  Lon     = +-1.878110 +/- 0.0006 deg
  Lat     = +53.396473 +/- 0.0003 deg
  Lat geo = +53.215154 +/- 0.0003 deg
  Ht      =  107932.63 +/- 78.20 m

  JD dynamic   = 2459502.673633904662 
  LST apparent = 84.2576589534 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  80.38762 +/- 0.4268 deg
  Dec       = +52.86318 +/- 0.1752 deg
  Azimuth   = 258.61850 +/- 3.9146 deg
  Elevation = +87.61784 +/- 0.2444 deg
  Vavg      =  57.26457 +/- 0.0937 km/s
  Vinit     =  58.06562 +/- 0.3552 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  80.84874 +/- 0.4268 deg
  Dec       = +52.87730 +/- 0.1752 deg
  Azimuth   = 257.12307 +/- 3.9146 deg
  Elevation = +87.89033 +/- 0.2444 deg
  Vavg      =  57.25374 +/- 0.0937 km/s
  Vinit     =  58.05479 +/- 0.3552 km/s
Radiant (geocentric, J2000):
  R.A.   =  79.91505 +/- 0.4305 deg
  Dec    = +52.83854 +/- 0.1763 deg
  Vg     =  56.99518 +/- 0.3617 km/s
  Vinf   =  58.06562 +/- 0.3552 km/s
  Zc     =   2.35310 +/- 0.2507 deg
  Zg     =   2.37500 +/- 0.2527 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  83.00935 +/- 0.2904 deg
  Bg     = +29.64528 +/- 0.1863 deg
  Vh     =  39.62428 +/- 0.4298 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  50.92455 +/- 0.2465 deg
  Bh     = +45.35655 +/- 0.2469 deg
  Vh_x   = -17.55109 +/- 0.2838 km/s
  Vh_y   = -21.61552 +/- 0.2661 km/s
  Vh_z   = -28.19241 +/- 0.2806 km/s
Orbit:
  La Sun = 201.733023 +/- -0.0000 deg
  a      =   4.241871 +/- 1.6053 AU
  e      =   0.860950 +/- 0.0227
  i      = 115.718714 +/- 0.2878 deg
  peri   = 263.281802 +/- 1.1075 deg
  node   = 201.734877 +/- 0.0000 deg
  Pi     = 105.016679 +/- 1.1075 deg
  q      =   0.589831 +/- 0.0042 AU
  f      = 276.718006 +/- 1.1075 deg
  M      = 355.319780 +/- 1.0034 deg
  Q      =   7.893912 +/- 3.2075 AU
  n      =   0.112815 +/- 0.0237 deg/day
  T      =   8.736488 +/- 6.3446 years
  Last perihelion JD = 2456353.101650 (2013-03-01 14:26:22.584590) +/- 2317.9875 days
  Tj     =   0.828292 +/- 0.2068
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +5.362198e-04, +7.829543e-05, -4.995608e+01, +1.034009e-09, -2.513646e-02, -2.697491e-04
q   , +7.829543e-05, +1.825403e-05, -7.133603e+00, +1.698374e-09, -4.515217e-03, -4.567355e-04
Tp  , -4.995608e+01, -7.133603e+00, +5.184354e+06, -3.133436e-04, +2.307288e+03, +8.432685e+01
node, +1.034009e-09, +1.698374e-09, -3.133436e-04, +1.183618e-12, -2.321754e-07, -3.202600e-07
peri, -2.513646e-02, -4.515217e-03, +2.307288e+03, -2.321754e-07, +1.283432e+00, +6.216965e-02
i   , -2.697491e-04, -4.567355e-04, +8.432685e+01, -3.202600e-07, +6.216965e-02, +8.666314e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000252
 a2 = 52.327226

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 8.931e-06 s
  Stddev    = 2.99e-03 s

Begin point on the trajectory:
  Lon =    -1.878157 +/- 0.0006 deg
  Lat =    53.396468 +/- 0.0003 deg
  Ht  = 108011.16 +/- 41.76 m
End point on the trajectory:
  Lon =    -1.869772 +/- 0.0007 deg
  Lat =    53.397619 +/- 0.0003 deg
  Ht  = 92175.09 +/- 40.38 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
    UK002X,   False,    -3.059440,    54.994170,   18.00,  74.410589,   0.000000,   107215.48,    92980.37,          0.013991,     40.38,     35.78,              61.05, 1.0000,    True,    True, {"ff_name": "FF_UK002X_20211015_040846_041_0539904.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,   108011.16,    92175.09,          0.018023,     37.63,     25.03,              40.10, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20211015_040846_088_0939008.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,     UK002X,       0,  0.020605, 2459502.672833397519, 104.14296,  -4.63056,              156.09107,  27.86857,       156.07361,       27.86929,    104.14296,      -4.63056,     104.15794,       -4.62626,   387714.76,  3855861.12,  5183090.31,      53.396525,       -1.877762,  107215.48,  222912.01,       0.00,              717.77,  -466.90,      0.00,           62395.99,     39.88,    -45.00,          55.64,  +3.32,  +1.58
  1,     UK002X,       0,  0.061141, 2459502.672833866905, 104.30602,  -5.23100,              156.07099,  27.24680,       156.04402,       27.24791,    104.30602,      -5.23100,     104.32943,       -5.22431,   387436.94,  3854220.74,  5180893.38,      53.396725,       -1.876270,  104462.03,  221580.72,    2755.81,             3473.58,   -64.84,  67984.37,           62395.99,     61.60,    -69.49,          86.44,  +2.87,  +1.14
  2,     UK002X,       0,  0.101661, 2459502.672834335826, 104.47833,  -5.81265,              156.03657,  26.64116,       156.01558,       26.64202,    104.47833,      -5.81265,     104.49688,       -5.80741,   387169.20,  3852639.82,  5178776.09,      53.396918,       -1.874837,  101808.38,  220322.54,    5411.74,             6129.51,   238.27,  65545.97,           62395.99,     47.91,    -54.05,          67.62,  +2.33,  +0.61
  3,     UK002X,       0,  0.142085, 2459502.672834803816, 104.63417,  -6.27797,              155.99021,  26.15247,       155.99342,       26.15234,    104.63417,      -6.27797,     104.63197,       -6.27878,   386954.95,  3851374.76,  5177081.84,      53.397072,       -1.873723,   99684.91,  219332.92,    7537.00,             8254.77,    16.29,  52574.37,           62395.99,     -7.33,      8.28,          10.40,  +1.71,  +0.00
  4,     UK002X,       0,  0.182553, 2459502.672835271806, 104.79150,  -6.79830,              155.95731,  25.60999,       155.96877,       25.60951,    104.79150,      -6.79830,     104.78226,       -6.80119,   386719.69,  3849985.67,  5175221.46,      53.397242,       -1.872482,   97353.22,  218265.31,    9870.66,            10588.43,     0.14,  57666.63,           60575.03,    -26.13,     29.51,          37.25,  +1.44,  -0.25
  5,     UK002X,       0,  0.223033, 2459502.672835740726, 104.94529,  -7.34001,              155.93443,  25.04756,       155.94340,       25.04719,    104.94529,      -7.34001,     104.93834,       -7.34229,   386478.38,  3848560.79,  5173313.16,      53.397416,       -1.871204,   94961.45,  217190.88,   12264.42,            12982.19,    43.41,  59134.53,           59848.55,    -20.45,     23.09,          29.29,  +1.76,  +0.08
  6,     UK002X,       0,  0.263433, 2459502.672836208250, 105.06315,  -7.79575,              155.92785,  24.57712,       155.92289,       24.57733,    105.06315,      -7.79575,     105.06862,       -7.79449,   386278.50,  3847380.60,  5171732.55,      53.397560,       -1.870173,   92980.37,  216316.28,   14247.13,            14964.90,  -319.73,  49076.97,           58437.42,     11.31,    -12.77,          16.27,  +3.17,  +1.49
  0,     UK002Z,       0,  0.000000, 2459502.672833163757,  32.55667,  31.47781,              261.62075,  46.35148,       261.60089,       46.35145,     32.55667,     +31.47781,      32.56829,      +31.46834,   387795.04,  3856335.16,  5183725.17,      53.396468,       -1.878157,  108011.16,  148119.20,       0.00,               78.60,    90.39,      0.00,           57726.98,     19.63,     29.51,          49.36,  +2.42,  +1.57
  1,     UK002Z,       0,  0.040536, 2459502.672833633143,  32.03854,  31.04660,              261.65657,  45.73384,       261.60373,       45.73375,     32.03854,     +31.04660,      32.06995,      +31.02123,   387550.85,  3854893.33,  5181794.17,      53.396643,       -1.876867,  105591.01,  146289.81,    2422.24,             2343.64,     1.68,  59755.32,           57726.98,     52.12,     78.43,         132.77,  +1.62,  +0.79
  2,     UK002Z,       0,  0.081028, 2459502.672834101599,  31.60592,  30.60828,              261.61470,  45.16002,       261.60640,       45.16000,     31.60592,     +30.60828,      31.61121,      +30.60427,   387329.47,  3853586.17,  5180043.52,      53.396803,       -1.875712,  103396.88,  144647.04,    4618.25,             4539.65,  -153.50,  54233.12,           57726.98,      8.19,     12.30,          21.06,  +1.28,  +0.48
  3,     UK002Z,       0,  0.121596, 2459502.672834570985,  31.08247,  30.13415,              261.62514,  44.50527,       261.60927,       44.50524,     31.08247,     +30.13415,      31.09256,      +30.12644,   387082.67,  3852128.88,  5178091.80,      53.396980,       -1.874404,  100950.73,  142832.19,    7066.48,             6987.88,   -60.88,  60348.75,           57726.98,     15.64,     23.50,          40.76,  +0.95,  +0.18
  4,     UK002Z,       0,  0.162196, 2459502.672835040838,  30.54057,  29.62223,              261.62267,  43.81040,       261.61220,       43.81039,     30.54057,     +29.62223,      30.54763,      +29.61712,   386827.36,  3850621.37,  5176072.84,      53.397164,       -1.873044,   98420.30,  140974.67,    9599.06,             9520.45,   114.23,  62378.76,           58805.00,     10.30,     15.47,          27.19,  +0.84,  +0.09
  5,     UK002Z,       0,  0.202724, 2459502.672835510224,  30.08594,  29.14942,              261.58591,  43.19415,       261.61489,       43.19419,     30.08594,     +29.14942,      30.06892,      +29.16367,   386606.56,  3849317.68,  5174326.83,      53.397323,       -1.871890,   96231.94,  139386.47,   11789.24,            11710.64,   -48.87,  54041.32,           58432.37,    -28.51,    -42.77,          76.07,  +0.79,  +0.07
  6,     UK002Z,       0,  0.243320, 2459502.672835980076,  29.55321,  28.64138,              261.59198,  42.50450,       261.61774,       42.50453,     29.55321,     +28.64138,      29.53818,      +28.65412,   386365.14,  3847892.17,  5172417.69,      53.397498,       -1.870611,   93839.11,  137668.01,   14184.07,            14105.47,   -11.27,  58991.72,           58359.31,    -25.30,    -37.96,          68.36,  +0.96,  +0.27
  7,     UK002Z,       0,  0.283748, 2459502.672836448066,  29.16645,  28.28717,              261.61347,  42.01378,       261.62004,       42.01379,     29.16645,     +28.28717,      29.16351,      +28.29044,   386197.25,  3846900.87,  5171090.06,      53.397619,       -1.869772,   92175.09,  136487.46,   15849.44,            15770.83,  -693.38,  41193.37,           56903.11,     -6.45,     -9.68,          17.58,  +3.96,  +3.28

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.