Orbital Analysis for matched events on 20210813_222406.635_UK

Summary for Event
-----------------
shower ID 546 FTC
Lg 49.22° Bg 48.56° Vg 50.53km/s
mass 0.02977g, abs. mag -0.2
Path Details
------------
start -2.36° 52.01° 106.79km
end   -2.45° 51.95° 96.71km

Orbit Details
-------------
Semimajor axis 2.97A.U., eccentricity 0.66, inclination 96.06°, Period 5.12Y, LA Sun 141.08°, last Perihelion 2016-07-05

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: 2459440.433410132769
Time: 2021-08-13 22:24:06.635471 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK0027
 Convergence angle = 25.23743 deg
 R.A. =  20.64099  Dec = +64.22010 deg

Best intersection: Stations UK000S and UK0027 with Qconv = 25.24 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1768059.05 +/- 48.05 m
 Y =  -3587638.00 +/- 34.28 m
 Z =   5087864.41 +/- 368.52 m
 Vx =    22199.48 +/- 1555.56 m/s
 Vy =     8001.15 +/- 438.92 m/s
 Vz =    46034.59 +/- 1788.83 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.557388e+03, -1.592845e+02, +3.225827e+02, +2.820074e+03, -3.092339e+03, -1.096938e+04
-1.592845e+02, +1.143815e+03, +7.094252e+03, -6.225190e+03, +5.892714e+03, +3.251151e+04
+3.225827e+02, +7.094252e+03, +9.343660e+04, -6.744500e+04, +2.919564e+04, +4.160198e+05
+2.820074e+03, -6.225190e+03, -6.744500e+04, +8.068321e+04, -3.587593e+04, -3.346926e+05
-3.092339e+03, +5.892714e+03, +2.919564e+04, -3.587593e+04, +4.077644e+04, +1.787889e+05
-1.096938e+04, +3.251151e+04, +4.160198e+05, -3.346926e+05, +1.787889e+05, +2.245280e+06

Timing offsets (from input data):
    UK000S: -0.000502 s
    UK0027: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 22:24:06.635471 UTC
  Lon     = +-2.362717 +/- 0.0006 deg
  Lat     = +52.012329 +/- 0.0022 deg
  Lat geo = +51.828575 +/- 0.0022 deg
  Ht      =  106804.56 +/- 278.94 m

  JD dynamic   = 2459440.434210873675 
  LST apparent = 296.2349908576 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  19.82020 +/- 0.7132 deg
  Dec       = +62.86029 +/- 1.0840 deg
  Azimuth   =  41.76847 +/- 1.6039 deg
  Elevation = +47.11614 +/- 0.3069 deg
  Vavg      =  50.21556 +/- 1.4486 km/s
  Vinit     =  51.73025 +/- 1.5258 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  19.89836 +/- 0.7132 deg
  Dec       = +62.57533 +/- 1.0840 deg
  Azimuth   =  42.12057 +/- 1.6039 deg
  Elevation = +46.95833 +/- 0.3069 deg
  Vavg      =  50.34843 +/- 1.4486 km/s
  Vinit     =  51.86311 +/- 1.5258 km/s
Radiant (geocentric, J2000):
  R.A.   =  20.50291 +/- 0.6964 deg
  Dec    = +62.51210 +/- 1.1040 deg
  Vg     =  50.52564 +/- 1.5608 km/s
  Vinf   =  51.73025 +/- 1.5258 km/s
  Zc     =  43.02105 +/- 0.3044 deg
  Zg     =  43.55308 +/- 0.3333 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  49.21826 +/- 1.2810 deg
  Bg     = +48.55692 +/- 0.7851 deg
  Vh     =  38.11389 +/- 1.6658 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  31.79795 +/- 10.8171 deg
  Bh     = +83.58156 +/- 0.2937 deg
  Vh_x   =  -3.62122 +/- 0.3265 km/s
  Vh_y   =  -2.24507 +/- 0.8465 km/s
  Vh_z   = -37.87499 +/- 1.6381 km/s
Orbit:
  La Sun = 141.084860 +/- -0.0000 deg
  a      =   2.969838 +/- 56.4090 AU
  e      =   0.659471 +/- 0.1498
  i      =  96.060988 +/- 0.5259 deg
  peri   = 185.331374 +/- 3.2125 deg
  node   = 141.084503 +/- 0.0000 deg
  Pi     = 326.415877 +/- 3.2125 deg
  q      =   1.011317 +/- 0.0017 AU
  f      = 354.664835 +/- 3.2125 deg
  M      = 359.176063 +/- nan deg
  Q      =   4.928359 +/- 112.8178 AU
  n      =   0.192577 +/- 0.0932 deg/day
  T      =   5.117994 +/- 249443753.8786 years
  Last perihelion JD = 2457575.332876 (2016-07-05 19:59:20.504794) +/- 9018.3293 days
  Tj     =   1.632455 +/- 0.7876
Shower association:
  IAU No.  =  546
  IAU code =  FTC

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.511735e-02, +1.414514e-04, -3.789060e+02, -5.796878e-08, -5.460831e-03, +8.699541e-04
q   , +1.414514e-04, +1.863355e-06, -3.262656e+00, -6.409027e-10, -5.976515e-05, +9.610180e-06
Tp  , -3.789060e+02, -3.262656e+00, +8.620237e+07, +7.727825e-04, +9.801454e+01, -1.159548e+01
node, -5.796878e-08, -6.409027e-10, +7.727825e-04, +2.855152e-13, +2.247301e-08, -4.282936e-09
peri, -5.460831e-03, -5.976515e-05, +9.801454e+01, +2.247301e-08, +2.207045e-03, -3.371380e-04
i   , +8.699541e-04, +9.610180e-06, -1.159548e+01, -4.282936e-09, -3.371380e-04, +6.424729e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.100190
 a2 = 29.846376

Mean time residuals from time vs. length:
  Station with reference time: UK0027
  Avg. res. = 4.618e-06 s
  Stddev    = 2.15e-03 s

Begin point on the trajectory:
  Lon =    -2.362821 +/- 0.0001 deg
  Lat =    52.012258 +/- 0.0020 deg
  Ht  = 106792.86 +/- 248.28 m
End point on the trajectory:
  Lon =    -2.453431 +/- 0.0002 deg
  Lat =    51.950344 +/- 0.0017 deg
  Ht  = 96708.57 +/- 182.67 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   106755.07,    97719.01,          0.012862,     21.70,     31.18,              41.23, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210813_222405_472_0202752.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   0.253008,  26.397826,   106792.86,    96708.57,          0.040047,     16.52,     85.91,              24.75, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210813_222400_785_0196608.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,     UK000S,       0,  0.008539, 2459440.433410674799, 166.26579,  71.87189,              342.65282,  37.54488,       342.65267,       37.54509,    166.26579,     +71.87189,     166.26650,      +71.87198,  1768030.07, -3587648.44,  5087804.31,      52.012026,       -2.363351,  106755.07,  172774.00,       0.00,               67.54,  -100.82,      0.00,           51021.93,     -0.59,     -0.41,           0.86,  +3.80,  +2.61
  1,     UK000S,       0,  0.048699, 2459440.433411139529, 166.90024,  71.38857,              342.08354,  37.28199,       342.08984,       37.27382,    166.90024,     +71.38857,     166.87239,      +71.38514,  1767059.92, -3587998.11,  5085792.53,      52.001880,       -2.378200,  105098.74,  171139.39,    2260.69,             2328.23,    82.38,  56292.04,           51021.93,     23.48,     16.36,          34.49,  +2.51,  +1.34
  2,     UK000S,       0,  0.088827, 2459440.433411604259, 167.45995,  70.97161,              341.58477,  37.06175,       341.60449,       37.03639,    167.45995,     +70.97161,     167.37455,      +70.96115,  1766233.52, -3588295.96,  5084078.84,      51.993232,       -2.390874,  103688.11,  169758.86,    4186.40,             4253.94,   -67.74,  47989.26,           51021.93,     72.59,     50.52,         107.46,  +1.86,  +0.71
  3,     UK000S,       0,  0.128999, 2459440.433412068989, 167.89992,  70.51441,              341.09102,  36.78920,       341.09544,       36.78356,    167.89992,     +70.51441,     167.88166,      +70.51212,  1765375.13, -3588605.34,  5082298.82,      51.984244,       -2.404032,  102223.14,  168336.23,    6186.65,             6254.19,  -145.59,  49792.20,           51021.93,     16.06,     11.19,          23.99,  +1.44,  +0.31
  4,     UK000S,       0,  0.169187, 2459440.433412534185, 168.47429,  69.96325,              340.47808,  36.47370,       340.47937,       36.47209,    168.47429,     +69.96325,     168.46969,      +69.96262,  1764346.24, -3588976.17,  5080165.23,      51.973462,       -2.419772,  100467.54,  166646.19,    8584.23,             8651.77,   173.05,  59659.01,           52526.86,      4.57,      3.19,           6.90,  +1.69,  +0.58
  5,     UK000S,       0,  0.209335, 2459440.433412998915, 168.93803,  69.51826,              339.98045,  36.22240,       339.98408,       36.21786,    168.93803,     +69.51826,     168.92428,      +69.51650,  1763529.54, -3589270.53,  5078471.65,      51.964899,       -2.432301,   99074.28,  165317.92,   10487.34,            10554.88,    -0.71,  47402.37,           52224.70,     12.79,      8.91,          19.44,  +1.38,  +0.29
  6,     UK000S,       0,  0.249495, 2459440.433413463645, 169.32824,  69.07120,              339.50426,  35.95628,       339.49758,       35.96457,    169.32824,     +69.07120,     169.35551,      +69.07437,  1762734.98, -3589556.90,  5076823.99,      51.956563,       -2.444496,   97719.01,  164036.72,   12338.86,            12406.40,  -226.67,  46103.69,           51460.97,    -23.25,    -16.21,          35.64,  +1.90,  +0.83
  0,     UK0027,       0,  0.000000, 2459440.433410132769, 301.10163,  85.72694,                0.64306,  55.62740,         0.64994,       55.71647,    301.10163,     +85.72694,     301.04208,      +85.63790,  1768052.20, -3587640.47,  5087850.20,      52.012258,       -2.362821,  106792.86,  128700.44,       0.00,               15.97,   289.32,      0.00,           49649.54,   -196.59,    -38.16,         320.95,  +2.80,  +2.25
  1,     UK0027,       0,  0.039912, 2459440.433410594705, 296.24977,  85.65089,                0.00356,  55.72056,         0.00429,       55.73158,    296.24977,     +85.65089,     296.25504,      +85.63987,  1767289.80, -3587915.25,  5086269.24,      52.004285,       -2.374524,  105491.19,  127114.55,    1776.56,             1792.53,     1.23,  44512.05,           49649.54,    -24.03,     -4.59,          39.69,  +1.61,  +1.09
  2,     UK0027,       0,  0.079896, 2459440.433411057573, 290.44491,  85.61810,              359.21728,  55.72868,       359.21804,       55.74542,    290.44491,     +85.61810,     290.47494,      +85.60151,  1766385.03, -3588241.35,  5084393.03,      51.994818,       -2.388383,  103946.72,  125239.30,    3884.90,             3900.87,    41.19,  52729.59,           49649.54,    -35.96,     -6.87,          60.30,  +1.38,  +0.89
  3,     UK0027,       0,  0.119868, 2459440.433411519974, 284.88256,  85.52863,              358.43926,  55.74597,       358.43947,       55.75417,    284.88256,     +85.52863,     284.90725,      +85.52065,  1765515.88, -3588554.61,  5082590.68,      51.985718,       -2.401704,  102463.33,  123445.12,    5910.25,             5926.22,    -1.23,  50669.09,           49649.54,    -17.36,     -3.31,          29.53,  +1.17,  +0.71
  4,     UK0027,       0,  0.159820, 2459440.433411982376, 279.27874,  85.37173,              357.60356,  55.77630,       357.60345,       55.75809,    279.27874,     +85.37173,     279.20522,      +85.38894,  1764609.68, -3588881.22,  5080711.53,      51.976224,       -2.415586,  100917.02,  121582.38,    8021.90,             8037.87,    43.69,  52854.69,           50495.07,     37.96,      7.21,          65.56,  +0.95,  +0.53
  5,     UK0027,       0,  0.199800, 2459440.433412445243, 274.38171,  85.21370,              356.83607,  55.77496,       356.83632,       55.75666,    274.38171,     +85.21370,     274.29304,      +85.23042,  1763803.03, -3589171.96,  5079038.78,      51.967767,       -2.427962,   99540.81,  119931.37,    9901.61,             9917.58,  -144.77,  47016.26,           50239.40,     37.63,      7.14,          65.87,  +0.96,  +0.57
  6,     UK0027,       0,  0.239740, 2459440.433412907645, 269.40425,  84.95449,              355.95087,  55.81008,       355.95296,       55.74913,    269.40425,     +84.95449,     269.06564,      +85.00773,  1762899.39, -3589497.65,  5077164.93,      51.958289,       -2.441806,   97999.43,  118090.11,   12007.31,            12023.28,  -105.17,  52721.65,           50413.92,    123.48,     23.25,         219.47,  +1.06,  +0.70
  7,     UK0027,       0,  0.279768, 2459440.433413370978, 264.96927,  84.78033,              355.19001,  55.74295,       355.19032,       55.73748,    264.96927,     +84.78033,     264.93720,      +84.78490,  1762142.49, -3589770.45,  5075595.37,      51.950344,       -2.453431,   96708.57,  116554.97,   13771.07,            13787.04,  -412.08,  44063.02,           49956.46,     10.93,      2.08,          19.70,  +2.13,  +1.80

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.