Orbital Analysis for matched events on 20210816_023630.235_UK

Summary for Event
-----------------
shower ID 546 FTC
Lg 51.61° Bg 49.85° Vg 53.03km/s
mass 0.01274g, abs. mag 0.2
Path Details
------------
start -0.07° 50.93° 107.05km
end   -0.10° 50.90° 95.17km

Orbit Details
-------------
Semimajor axis 10.52A.U., eccentricity 0.90, inclination 96.72°, Period 34.13Y, LA Sun 143.17°, last Perihelion 1987-07-02

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: 2459442.608683284838
Time: 2021-08-16 02:36:30.242046 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002C
 Convergence angle = 22.83437 deg
 R.A. =  21.16100  Dec = +64.94933 deg

Best intersection: Stations UK002B and UK002C with Qconv = 22.83 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4086617.23 +/- 78.22 m
 Y =    269018.30 +/- 108.17 m
 Z =   5012144.48 +/- 95.32 m
 Vx =    21696.46 +/- 465.59 m/s
 Vy =     8686.91 +/- 728.20 m/s
 Vz =    48882.97 +/- 772.33 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.909706e+03, +8.967320e+03, +7.751634e+03, +2.234867e+04, +3.440535e+04, +2.303079e+04
+8.967320e+03, +1.290013e+04, +1.023568e+04, +3.521581e+04, +6.105974e+04, +4.012371e+04
+7.751634e+03, +1.023568e+04, +1.006244e+04, +1.792913e+04, +3.176043e+04, +2.237114e+04
+2.234867e+04, +3.521581e+04, +1.792913e+04, +1.901054e+05, +2.969092e+05, +1.824036e+05
+3.440535e+04, +6.105974e+04, +3.176043e+04, +2.969092e+05, +5.188612e+05, +3.208403e+05
+2.303079e+04, +4.012371e+04, +2.237114e+04, +1.824036e+05, +3.208403e+05, +2.012143e+05

Timing offsets (from input data):
    UK000F: 0.000000 s
    UK002B: 0.000000 s
    UK002C: 0.001327 s

Reference point on the trajectory:
  Time: 2021-08-16 02:36:30.242046 UTC
  Lon     = +-0.073824 +/- 0.0014 deg
  Lat     = +50.932792 +/- 0.0002 deg
  Lat geo = +50.747474 +/- 0.0002 deg
  Ht      =  107254.85 +/- 125.28 m

  JD dynamic   = 2459442.609484097920 
  LST apparent = 3.7662950771 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  21.82037 +/- 1.3532 deg
  Dec       = +64.44759 +/- 0.4309 deg
  Azimuth   =  28.11621 +/- 2.4604 deg
  Elevation = +73.52131 +/- 0.1488 deg
  Vavg      =  53.31425 +/- 0.6604 km/s
  Vinit     =  54.18250 +/- 0.6665 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  22.51370 +/- 1.3532 deg
  Dec       = +64.35772 +/- 0.4309 deg
  Azimuth   =  29.08916 +/- 2.4604 deg
  Elevation = +73.37644 +/- 0.1488 deg
  Vavg      =  53.35498 +/- 0.6604 km/s
  Vinit     =  54.22323 +/- 0.6665 km/s
Radiant (geocentric, J2000):
  R.A.   =  21.73542 +/- 1.3606 deg
  Dec    = +64.46652 +/- 0.4407 deg
  Vg     =  53.03377 +/- 0.6816 km/s
  Vinf   =  54.18250 +/- 0.6665 km/s
  Zc     =  16.64236 +/- 0.1485 deg
  Zg     =  16.82193 +/- 0.1500 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  51.61030 +/- 0.3896 deg
  Bg     = +49.85317 +/- 0.6779 deg
  Vh     =  40.83846 +/- 0.2143 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  38.31580 +/- 9.4479 deg
  Bh     = +83.05486 +/- 1.0389 deg
  Vh_x   =  -3.87449 +/- 0.4425 km/s
  Vh_y   =  -3.06163 +/- 0.8195 km/s
  Vh_z   = -40.53881 +/- 0.1524 km/s
Orbit:
  La Sun = 143.174657 +/- 0.0000 deg
  a      =  10.522095 +/- 1.2279 AU
  e      =   0.903857 +/- 0.0197
  i      =  96.715013 +/- 1.2700 deg
  peri   = 183.746758 +/- 0.6650 deg
  node   = 143.175883 +/- 0.0001 deg
  Pi     = 326.922641 +/- 0.6650 deg
  q      =   1.011621 +/- 0.0004 AU
  f      = 356.250061 +/- 0.6650 deg
  M      = 359.918927 +/- 0.0587 deg
  Q      =  20.032570 +/- 2.4554 AU
  n      =   0.028877 +/- 0.0104 deg/day
  T      =  34.131391 +/- 5.2665 years
  Last perihelion JD = 2446978.709406 (1987-07-02 05:01:32.700174) +/- 1924.0672 days
  Tj     =   0.352336 +/- 0.1284
Shower association:
  IAU No.  =  546
  IAU code =  FTC

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.848099e-04, +6.857672e-06, -3.920387e+01, -2.400141e-08, -1.932452e-04, +4.326031e-04
q   , +6.857672e-06, +1.820658e-07, -7.007678e-01, -4.143257e-10, -4.989176e-06, +7.465690e-06
Tp  , -3.920387e+01, -7.007678e-01, +4.167919e+06, +2.472282e-03, +1.989263e+01, -4.454620e+01
node, -2.400141e-08, -4.143257e-10, +2.472282e-03, +1.564994e-12, +1.174356e-08, -2.820312e-08
peri, -1.932452e-04, -4.989176e-06, +1.989263e+01, +1.174356e-08, +1.373372e-04, -2.115993e-04
i   , +4.326031e-04, +7.465690e-06, -4.454620e+01, -2.820312e-08, -2.115993e-04, +5.082567e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.000000
 a2 = 97.523242

Mean time residuals from time vs. length:
  Station with reference time: UK002B
  Avg. res. = 2.532e-06 s
  Stddev    = 1.59e-03 s

Begin point on the trajectory:
  Lon =    -0.074220 +/- 0.0014 deg
  Lat =    50.932324 +/- 0.0002 deg
  Ht  = 107051.97 +/- 73.97 m
End point on the trajectory:
  Lon =    -0.098411 +/- 0.0014 deg
  Lat =    50.904861 +/- 0.0002 deg
  Ht  = 95169.25 +/- 119.13 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
    UK000F,    True,    -1.306160,    51.883100,   80.00,   7.402124,   3.601658,   105153.66,    96700.06,          0.051351,       nan,       nan,              60.77, 0.0000,    True,    True, {"ff_name": "FF_UK000F_20210816_023622_413_0584192.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,  88.398191,   105332.37,    95169.25,          0.020997,     37.47,     34.13,              34.72, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20210816_023622_596_0591616.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,  94.426502,   107051.97,    96555.58,          0.011797,     14.22,     31.30,              51.93, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210816_023626_031_0585728.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,     UK000F,       1,  0.043029, 2459442.608683782630,  33.09670,   5.06251,              140.76885,  36.78860,       140.71520,       36.77505,     33.09670,      +5.06251,      33.14190,       +5.06690,  4085739.80,   268666.99,  5010167.58,      50.927944,       -0.078076,  105153.66,  173032.30,       0.00,             2191.22,    55.34,      0.00,           52511.81,    135.97,      5.46,         162.22,  +3.86,  +2.67
  1,     UK000F,       1,  0.083569, 2459442.608684252016,  33.21960,   4.44407,              140.92945,  36.17151,       140.95288,       36.17742,     33.21960,      +4.44407,      33.20016,       +4.44213,  4084867.89,   268317.89,  5008203.13,      50.923123,       -0.082321,  103065.74,  171945.86,    2177.41,             4368.64,    36.20,  53710.28,           52511.81,    -59.44,     -2.34,          71.35,  +1.56,  +0.38
  2,     UK000F,       1,  0.124085, 2459442.608684720937,  33.31133,   3.85046,              141.11066,  35.58912,       141.17693,       35.60580,     33.31133,      +3.85046,      33.25558,       +3.84493,  4084044.53,   267988.24,  5006348.08,      50.918568,       -0.086339,  101094.14,  170938.75,    4233.58,             6424.80,  -102.90,  50749.36,           52511.81,   -168.16,     -6.54,         203.06,  +1.39,  +0.23
  3,     UK000F,       1,  0.164617, 2459442.608685190324,  33.33849,   3.20793,              141.38477,  34.98619,       141.41304,       34.99331,     33.33849,      +3.20793,      33.31502,       +3.20556,  4083173.58,   267639.52,  5004385.79,      50.913747,       -0.090583,   99008.60,  169894.38,    6408.60,             8599.83,  -124.00,  53661.93,           52511.81,    -71.80,     -2.83,          87.24,  +1.46,  +0.31
  4,     UK000F,       1,  0.205237, 2459442.608685660176,  33.46438,   2.49688,              141.57635,  34.28153,       141.67319,       34.30587,     33.46438,      +2.49688,      33.38194,       +2.48868,  4082209.48,   267253.51,  5002213.63,      50.908405,       -0.095264,   96700.06,  168764.15,    8816.25,            11007.47,    82.75,  59272.49,           53923.30,   -246.12,     -9.51,         301.04,  +2.73,  +1.59
  0,     UK002B,       1,  0.000000, 2459442.608683284838,  61.14371,  40.23543,               81.24345,  48.71699,        81.33659,       48.74543,     61.14371,     +40.23543,      61.06696,      +40.20155,  4086640.84,   269027.76,  5012197.67,      50.932922,       -0.073688,  107311.40,  141815.58,       0.00,               58.96,   254.49,      0.00,           53399.13,   -112.68,    124.00,         243.70,  +4.67,  +3.91
  1,     UK002B,       0,  0.040312, 2459442.608683751430,  61.40644,  39.82315,               81.57566,  48.31447,        81.62780,       48.33038,     61.40644,     +39.82315,      61.36352,      +39.80418,  4085814.43,   268696.87,  5010335.72,      50.928357,       -0.077717,  105332.37,  140083.91,    2063.81,             2004.85,    16.17,  51195.99,           53399.13,    -62.80,     68.97,         137.35,  +1.95,  +1.22
  2,     UK002B,       0,  0.080652, 2459442.608684218489,  61.70127,  39.39670,               81.89521,  47.88100,        81.92997,       47.89159,     61.70127,     +39.39670,      61.67279,      +39.38406,  4084964.05,   268356.40,  5008419.79,      50.923655,       -0.081859,  103296.02,  138311.82,    4187.45,             4128.49,   -45.91,  52643.49,           53399.13,    -41.64,     45.69,          92.19,  +1.20,  +0.50
  3,     UK002B,       0,  0.121020, 2459442.608684685547,  62.00774,  38.91774,               82.26067,  47.40638,        82.25801,       47.40557,     62.00774,     +38.91774,      62.01046,      +38.91870,  4084049.05,   267990.05,  5006358.27,      50.918593,       -0.086306,  101104.96,  136416.93,    6472.47,             6413.51,    51.87,  56604.80,           53399.13,      3.16,     -3.47,           7.10,  +0.86,  +0.19
  4,     UK002B,       0,  0.161396, 2459442.608685153071,  62.34858,  38.47930,               82.54471,  46.93131,        82.56735,       46.93819,     62.34858,     +38.47930,      62.33039,      +38.47106,  4083193.52,   267647.51,  5004430.73,      50.913857,       -0.090476,   99056.36,  134655.66,    8608.98,             8550.02,     0.71,  52915.30,           53597.82,    -26.79,     29.37,          60.90,  +1.05,  +0.40
  5,     UK002B,       0,  0.201768, 2459442.608685620129,  62.65207,  37.99814,               82.89500,  46.45109,        82.88532,       46.44815,     62.65207,     +37.99814,      62.66100,      +38.00166,  4082321.56,   267298.38,  5002466.15,      50.909027,       -0.094725,   96968.43,  132872.09,   10786.55,            10727.58,    -9.19,  53937.50,           53703.10,     11.40,    -12.48,          26.24,  +1.29,  +0.67
  6,     UK002B,       0,  0.242120, 2459442.608686087187,  62.96339,  37.59326,               83.14316,  46.00953,        83.16139,       46.01505,     62.96339,     +37.59326,      62.94912,      +37.58660,  4081570.17,   266997.54,  5000773.24,      50.904861,       -0.098411,   95169.25,  131343.59,   12662.98,            12604.02,  -319.12,  46501.69,           52969.16,    -21.34,     23.39,          49.72,  +3.53,  +2.94
  0,     UK002C,       0,  0.007526, 2459442.608683357015,  52.50016,  18.54814,              110.45325,  38.70840,       110.43730,       38.70350,     52.50016,     +18.54814,      52.51372,      +18.55197,  4086532.51,   268984.38,  5011953.60,      50.932324,       -0.074220,  107051.97,  168853.78,       0.00,              211.58,    -0.70,      0.00,           53188.97,     35.91,    -16.32,          48.18,  +4.05,  +2.91
  1,     UK002C,       0,  0.047974, 2459442.608683825005,  52.66580,  17.98696,              110.73610,  38.16935,       110.71158,       38.16182,     52.66580,     +17.98696,      52.68685,      +17.99286,  4085643.71,   268628.52,  5009951.08,      50.927413,       -0.078541,  104923.55,  167436.20,    2219.61,             2431.19,    27.33,  54875.64,           53188.97,     55.07,    -25.01,          74.51,  +2.19,  +1.07
  2,     UK002C,       0,  0.088422, 2459442.608684292994,  52.86400,  17.45623,              110.95914,  37.63423,       110.97265,       37.63838,     52.86400,     +17.45623,      52.85283,      +17.45297,  4084799.56,   268290.54,  5008049.19,      50.922746,       -0.082655,  102902.12,  166105.71,    4327.70,             4539.27,   -56.15,  52118.40,           53188.97,    -30.29,     13.78,          41.32,  +1.33,  +0.23
  3,     UK002C,       0,  0.128870, 2459442.608684761450,  53.02444,  16.89616,              111.23607,  37.09690,       111.23821,       37.09756,     53.02444,     +16.89616,      53.02313,      +16.89564,  4083942.27,   267947.29,  5006117.69,      50.918002,       -0.086832,  100849.27,  164771.28,    6468.60,             6680.17,  -106.83,  52929.71,           53188.97,     -4.80,      2.18,           6.60,  +1.32,  +0.24
  4,     UK002C,       0,  0.169382, 2459442.608685230371,  53.21946,  16.26313,              111.53018,  36.48031,       111.53525,       36.48186,     53.21946,     +16.26313,      53.21580,      +16.26190,  4082984.32,   267563.75,  5003959.39,      50.912698,       -0.091483,   98555.42,  163301.54,    8860.88,             9072.46,    90.42,  59051.25,           54301.67,    -11.32,      5.15,          15.70,  +1.34,  +0.28
  5,     UK002C,       0,  0.209838, 2459442.608685698360,  53.39290,  15.70244,              111.78502,  35.93268,       111.79492,       35.93571,     53.39290,     +15.70244,      53.38523,      +15.70003,  4082149.14,   267229.35,  5002077.68,      50.908071,       -0.095560,   96555.58,  162037.01,   10946.59,            11158.16,   -15.89,  51554.89,           54226.93,    -22.06,     10.03,          30.85,  +2.09,  +1.04
  6,     UK002C,       1,  0.250222, 2459442.608686165884,  53.57156,  15.26204,              111.94181,  35.47728,       112.00201,       35.49565,     53.57156,     +15.26204,      53.52054,      +15.24730,  4081485.37,   266963.59,  5000582.19,      50.904391,       -0.098836,   94966.20,  161042.40,   12604.21,            12815.79,  -546.37,  41046.54,           52791.02,   -133.88,     61.03,         188.46,  +5.44,  +4.41

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.