Orbital Analysis for matched events on 20210816_013654.580_UK

Summary for Event
-----------------
shower ID 26 NDA
Lg 351.39° Bg 10.09° Vg 34.96km/s
mass 0.05377g, abs. mag -0.1
Path Details
------------
start -2.66° 52.98° 94.05km
end   -2.67° 53.06° 85.05km

Orbit Details
-------------
Semimajor axis 1.47A.U., eccentricity 0.91, inclination 25.02°, Period 1.78Y, LA Sun 143.13°, last Perihelion 2019-12-11

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: 2459442.567298381124
Time: 2021-08-16 01:36:54.580129 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK0027
 Convergence angle = 25.95934 deg
 R.A. = 348.70705  Dec =  +7.18909 deg

Best intersection: Stations UK001L and UK0027 with Qconv = 25.96 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3792921.69 +/- 48.61 m
 Y =   -928654.07 +/- 27.82 m
 Z =   5144466.86 +/- 99.18 m
 Vx =    35649.04 +/- 304.05 m/s
 Vy =    -7350.55 +/- 153.80 m/s
 Vz =     4557.01 +/- 537.51 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.505208e+03, +7.305863e+02, -4.238640e+03, +1.095973e+04, +4.018168e+03, -1.890646e+04
+7.305863e+02, +7.736052e+02, -1.783108e+03, +5.393378e+03, +4.226265e+03, -8.603917e+03
-4.238640e+03, -1.783108e+03, +1.017004e+04, -2.597155e+04, -8.083383e+03, +4.439281e+04
+1.095973e+04, +5.393378e+03, -2.597155e+04, +9.494524e+04, +3.612673e+04, -1.552231e+05
+4.018168e+03, +4.226265e+03, -8.083383e+03, +3.612673e+04, +3.137361e+04, -5.556932e+04
-1.890646e+04, -8.603917e+03, +4.439281e+04, -1.552231e+05, -5.556932e+04, +2.632648e+05

Timing offsets (from input data):
    UK001L: 0.000101 s
    UK0027: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 01:36:54.580129 UTC
  Lon     = +-2.658319 +/- 0.0005 deg
  Lat     = +52.981843 +/- 0.0008 deg
  Lat geo = +52.799367 +/- 0.0008 deg
  Ht      =   94055.52 +/- 60.27 m

  JD dynamic   = 2459442.568099122029 
  LST apparent = 346.2424173354 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 348.34934 +/- 0.3307 deg
  Dec       =  +7.13608 +/- 0.8008 deg
  Azimuth   = 177.08713 +/- 0.4232 deg
  Elevation = +44.12200 +/- 0.8074 deg
  Vavg      =  36.06907 +/- 0.1491 km/s
  Vinit     =  36.68312 +/- 0.2216 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 348.79713 +/- 0.3307 deg
  Dec       =  +7.13384 +/- 0.8008 deg
  Azimuth   = 176.46873 +/- 0.4232 deg
  Elevation = +44.10460 +/- 0.8074 deg
  Vavg      =  36.08056 +/- 0.1491 km/s
  Vinit     =  36.69461 +/- 0.2216 km/s
Radiant (geocentric, J2000):
  R.A.   = 348.11108 +/- 0.3358 deg
  Dec    =  +5.85777 +/- 0.8093 deg
  Vg     =  34.96031 +/- 0.2323 km/s
  Vinf   =  36.68312 +/- 0.2216 km/s
  Zc     =  45.69577 +/- 0.8075 deg
  Zg     =  46.85678 +/- 0.8159 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 351.38750 +/- 0.2151 deg
  Bg     = +10.08760 +/- 0.8496 deg
  Vh     =  33.89742 +/- 0.1843 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 299.97098 +/- 0.3744 deg
  Bh     = +10.40750 +/- 0.8546 deg
  Vh_x   = -16.65524 +/- 0.2974 km/s
  Vh_y   =  28.88149 +/- 0.1538 km/s
  Vh_z   =  -6.12350 +/- 0.4822 km/s
Orbit:
  La Sun = 143.134886 +/- 0.0000 deg
  a      =   1.471098 +/- 0.0341 AU
  e      =   0.913997 +/- 0.0047
  i      =  25.021323 +/- 1.6303 deg
  peri   = 326.344895 +/- 0.6892 deg
  node   = 143.143351 +/- 0.0007 deg
  Pi     = 109.488246 +/- 0.6898 deg
  q      =   0.126518 +/- 0.0054 AU
  f      = 213.647105 +/- 0.6897 deg
  M      = 339.165209 +/- 0.7802 deg
  Q      =   2.815678 +/- 0.0714 AU
  n      =   0.552385 +/- 0.0170 deg/day
  T      =   1.784280 +/- 0.0636 years
  Last perihelion JD = 2458828.566335 (2019-12-11 01:35:31.307638) +/- 23.5168 days
  Tj     =   3.928604 +/- 0.0752
Shower association:
  IAU No.  =   26
  IAU code =  NDA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.396129e-05, -2.615738e-05, -9.374072e-02, +5.776477e-08, +5.243174e-05, -1.431166e-04
q   , -2.615738e-05, +3.151148e-05, +7.735119e-02, -6.207488e-08, -6.822736e-05, +1.529864e-04
Tp  , -9.374072e-02, +7.735119e-02, +5.808783e+02, -2.325283e-04, -1.122694e-01, +5.810099e-01
node, +5.776477e-08, -6.207488e-08, -2.325283e-04, +1.429894e-10, +1.228395e-07, -3.540824e-07
peri, +5.243174e-05, -6.822736e-05, -1.122694e-01, +1.228395e-07, +1.555896e-04, -3.012480e-04
i   , -1.431166e-04, +1.529864e-04, +5.810099e-01, -3.540824e-07, -3.012480e-04, +8.794751e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.145363
 a2 = 20.509105

Mean time residuals from time vs. length:
  Station with reference time: UK0027
  Avg. res. = 1.277e-06 s
  Stddev    = 1.13e-03 s

Begin point on the trajectory:
  Lon =    -2.658325 +/- 0.0005 deg
  Lat =    52.981915 +/- 0.0008 deg
  Ht  = 94047.61 +/- 51.48 m
End point on the trajectory:
  Lon =    -2.666789 +/- 0.0007 deg
  Lat =    53.064167 +/- 0.0009 deg
  Ht  = 85046.32 +/- 48.33 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,    91969.47,    85821.00,          0.016177,     17.58,     48.29,              98.70, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210816_013653_508_0496128.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   0.459351,  16.819182,    94047.61,    85046.32,          0.008421,     19.49,     23.26,             108.73, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210816_013649_707_0489472.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,     UK001L,       1,  0.048960, 2459442.567299080547, 232.28230,  55.68024,              323.92008,  30.06509,       323.90555,       30.05946,    232.28230,     +55.68024,     232.29292,      +55.66783,  3790799.39,  -928216.47,  5144195.56,      52.995711,       -2.659741,   92535.31,  180810.48,       0.00,             2183.86,   521.00,      0.00,           34174.65,     40.86,    -14.88,          49.61,  +5.23,  +3.94
  1,     UK001L,       0,  0.089176, 2459442.567299546208, 231.89452,  55.54830,              324.01577,  29.82322,       324.02214,       29.82569,    231.89452,     +55.54830,     231.88998,      +55.55374,  3790009.35,  -928053.57,  5144094.57,      53.000875,       -2.660345,   91969.47,  180934.59,     812.96,             2996.82,  -141.28,  20214.91,           34174.65,    -17.98,      6.54,          21.81,  +2.52,  +1.23
  2,     UK001L,       0,  0.129588, 2459442.567300013732, 231.08163,  55.33966,              324.27137,  29.36856,       324.25531,       29.36235,    231.08163,     +55.33966,     231.09408,      +55.32599,  3788437.44,  -927729.45,  5143893.64,      53.011152,       -2.661381,   90843.83,  181186.34,    2430.46,             4614.32,    -6.22,  40025.22,           34174.65,     45.50,    -16.57,          55.12,  +1.47,  +0.18
  3,     UK001L,       0,  0.170012, 2459442.567300481722, 230.30647,  55.09040,              324.48462,  28.89633,       324.48704,       28.89727,    230.30647,     +55.09040,     230.30511,      +55.09246,  3786856.48,  -927403.47,  5143691.54,      53.021492,       -2.662423,   89711.89,  181453.70,    4057.29,             6241.14,   137.73,  40244.03,           34174.65,     -6.89,      2.51,           8.34,  +1.23,  -0.06
  4,     UK001L,       0,  0.210328, 2459442.567300948314, 229.70598,  54.91703,              324.66822,  28.54599,       324.66103,       28.54322,    229.70598,     +54.91703,     229.71226,      +54.91094,  3785651.49,  -927155.01,  5143537.51,      53.029375,       -2.663258,   88849.27,  181668.37,    5297.22,             7481.08,  -101.25,  30755.47,           34293.73,     20.55,     -7.48,          24.83,  +1.01,  -0.29
  5,     UK001L,       0,  0.250740, 2459442.567301415838, 228.93418,  54.68850,              324.90539,  28.09153,       324.88594,       28.08403,    228.93418,     +54.68850,     228.95048,      +54.67205,  3784084.38,  -926831.89,  5143337.19,      53.039631,       -2.664293,   87727.59,  181958.07,    6909.79,             9093.65,    28.88,  39903.17,           35130.25,     55.88,    -20.35,          67.41,  +0.79,  -0.51
  6,     UK001L,       0,  0.291100, 2459442.567301882897, 228.26365,  54.48575,              325.11331,  27.69365,       325.08105,       27.68122,    228.26365,     +54.48575,     228.29069,      +54.45851,  3782706.91,  -926547.86,  5143161.10,      53.048648,       -2.665224,   86741.79,  182224.81,    8327.22,            10511.08,   -34.22,  35119.70,           35427.69,     93.10,    -33.91,         112.16,  +1.09,  -0.21
  7,     UK001L,       0,  0.331440, 2459442.567302349955, 227.66982,  54.26812,              325.27540,  27.31113,       325.26129,       27.30570,    227.66982,     +54.26812,     227.68252,      +54.25624,  3781420.11,  -926282.54,  5142996.61,      53.057074,       -2.666106,   85821.00,  182483.97,    9651.34,            11835.20,  -189.90,  32824.05,           35334.77,     40.87,    -14.88,          49.16,  +1.90,  +0.59
  0,     UK0027,       0,  0.000000, 2459442.567298381124, 179.36541,  64.76173,              353.91952,  26.55868,       353.93051,       26.55912,    179.36541,     +64.76173,     179.34254,      +64.76369,  3792910.66,  -928651.80,  5144465.45,      52.981915,       -2.658325,   94047.61,  204456.85,       0.00,               11.35,   144.49,      0.00,           35622.49,    -26.92,    -22.56,          35.43,  +2.90,  +1.35
  1,     UK0027,       0,  0.040300, 2459442.567298847716, 179.15947,  64.41654,              353.95779,  26.20401,       353.94457,       26.20348,    179.15947,     +64.41654,     179.18636,      +64.41421,  3791613.31,  -928384.29,  5144299.61,      52.990391,       -2.659208,   93118.28,  204866.29,    1334.98,             1346.33,     1.14,  33125.98,           35622.49,     32.55,     27.29,          42.77,  +3.42,  +1.86
  2,     UK0027,       0,  0.080652, 2459442.567299314309, 178.98953,  64.01205,              353.97119,  25.79299,       353.96127,       25.79260,    178.98953,     +64.01205,     179.00962,      +64.01032,  3790107.77,  -928073.86,  5144107.15,      53.000231,       -2.660207,   92039.97,  205351.12,    2884.19,             2895.54,    70.11,  38392.46,           35622.49,     24.55,     20.58,          32.18,  +2.08,  +0.52
  3,     UK0027,       0,  0.120960, 2459442.567299780902, 178.83879,  63.65155,              353.98472,  25.42662,       353.97571,       25.42626,    178.83879,     +63.65155,     178.85707,      +63.65000,  3788759.46,  -927795.85,  5143934.80,      53.009046,       -2.661119,   91074.41,  205794.36,    4271.61,             4282.96,   -21.09,  34420.41,           35622.49,     22.43,     18.80,          29.34,  +1.94,  +0.37
  4,     UK0027,       0,  0.161304, 2459442.567300247960, 178.68384,  63.25146,              353.99577,  25.02070,       353.99198,       25.02055,    178.68384,     +63.25146,     178.69177,      +63.25081,  3787259.28,  -927486.53,  5143743.03,      53.018857,       -2.662116,   90000.27,  206297.25,    5815.30,             5826.65,    42.66,  38263.30,           36123.12,      9.49,      7.95,          12.38,  +1.33,  -0.24
  5,     UK0027,       0,  0.201616, 2459442.567300714552, 178.54592,  62.88757,              354.00612,  24.65161,       354.00639,       24.65162,    178.54592,     +62.88757,     178.54598,      +62.88761,  3785888.71,  -927203.92,  5143567.83,      53.027823,       -2.663042,   89019.08,  206765.79,    7225.63,             7236.98,   -25.78,  34985.42,           36103.65,     -0.67,     -0.56,           0.88,  +1.15,  -0.43
  6,     UK0027,       0,  0.241948, 2459442.567301181611, 178.37560,  62.50318,              354.03120,  24.26002,       354.02184,       24.25965,    178.37560,     +62.50318,     178.39453,      +62.50161,  3784425.62,  -926902.25,  5143380.81,      53.037397,       -2.664020,   87971.82,  207275.31,    8731.16,             8742.51,     0.24,  37328.31,           36227.93,     23.68,     19.83,          30.74,  +1.22,  -0.36
  7,     UK0027,       0,  0.282256, 2459442.567301647738, 178.24103,  62.14169,              354.04371,  23.89335,       354.03601,       23.89304,    178.24103,     +62.14169,     178.25679,      +62.14041,  3783050.62,  -926618.73,  5143205.04,      53.046398,       -2.664949,   86987.75,  207763.02,   10146.05,            10157.40,   -63.49,  35101.87,           36185.92,     19.60,     16.41,          25.38,  +1.19,  -0.40
  8,     UK0027,       0,  0.322568, 2459442.567302114330, 178.13513,  61.77240,              354.04199,  23.52072,       354.05037,       23.52105,    178.13513,     +61.77240,     178.12022,      +61.77378,  3781648.77,  -926329.68,  5143025.84,      53.055577,       -2.665894,   85984.62,  208268.95,   11588.56,            11599.91,   -99.75,  35783.66,           36139.50,    -21.45,    -17.95,          27.70,  +1.83,  +0.24
  9,     UK0027,       0,  0.362860, 2459442.567302580923, 177.97155,  61.43431,              354.07590,  23.17520,       354.06345,       23.17470,    177.97155,     +61.43431,     177.99638,      +61.43227,  3780337.34,  -926059.28,  5142858.20,      53.064167,       -2.666789,   85046.32,  208750.23,   12938.03,            12949.38,  -228.32,  33492.35,           35971.61,     31.99,     26.79,          41.23,  +2.20,  +0.60
 10,     UK0027,       1,  0.403140, 2459442.567303047050, 177.86464,  61.10312,              354.08302,  22.84011,       354.07594,       22.83982,    177.86464,     +61.10312,     177.87938,      +61.10197,  3779063.58,  -925796.64,  5142695.38,      53.072512,       -2.667664,   84135.09,  209225.00,   14248.74,            14260.09,  -395.20,  32540.03,           35724.22,     18.30,     15.32,          23.52,  +5.51,  +3.91

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.