Orbital Analysis for matched events on 20210816_005216.060_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 68.79° Bg 39.34° Vg 57.81km/s
mass 0.06918g, abs. mag -1.8
Path Details
------------
start -1.33° 53.94° 105.98km
end   -1.44° 53.88° 94.42km

Orbit Details
-------------
Semimajor axis 10.44A.U., eccentricity 0.91, inclination 110.41°, Period 33.72Y, LA Sun 143.11°, last Perihelion 2021-07-22

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: 2459442.536296992097
Time: 2021-08-16 00:52:16.100712 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002Z
 Convergence angle = 61.93021 deg
 R.A. =  55.20367  Dec = +60.31736 deg

Best intersection: Stations UK001L and UK002Z with Qconv = 61.93 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3505332.14 +/- 44.56 m
 Y =  -1531875.50 +/- 74.38 m
 Z =   5220167.23 +/- 134.43 m
 Vx =    16443.49 +/- 336.14 m/s
 Vy =    23849.67 +/- 633.19 m/s
 Vz =    51242.32 +/- 579.03 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.867821e+03, -5.832046e+02, -7.849791e+02, +9.102354e+03, -4.014671e+01, -2.540084e+03
-5.832046e+02, +2.642043e+03, -3.381705e+03, -1.492077e+03, +1.161174e+04, -1.852752e+04
-7.849791e+02, -3.381705e+03, +8.665214e+03, -8.806699e+03, -1.976198e+04, +3.504891e+04
+9.102354e+03, -1.492077e+03, -8.806699e+03, +4.951257e+04, +8.991929e+03, -2.861035e+04
-4.014671e+01, +1.161174e+04, -1.976198e+04, +8.991929e+03, +7.161129e+04, -1.169338e+05
-2.540084e+03, -1.852752e+04, +3.504891e+04, -2.861035e+04, -1.169338e+05, +1.955858e+05

Timing offsets (from input data):
    UK001L: -0.000161 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 00:52:16.100712 UTC
  Lon     = +-1.315799 +/- 0.0010 deg
  Lat     = +53.945569 +/- 0.0006 deg
  Lat geo = +53.765310 +/- 0.0006 deg
  Ht      =  107546.86 +/- 129.48 m

  JD dynamic   = 2459442.537098202854 
  LST apparent = 336.3940496590 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  55.41514 +/- 0.5423 deg
  Dec       = +60.51918 +/- 0.5176 deg
  Azimuth   =  47.89751 +/- 0.6322 deg
  Elevation = +49.37101 +/- 0.4138 deg
  Vavg      =  56.69924 +/- 0.3030 km/s
  Vinit     =  58.86400 +/- 0.3670 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  55.51923 +/- 0.5423 deg
  Dec       = +60.28763 +/- 0.5176 deg
  Azimuth   =  48.17558 +/- 0.6322 deg
  Elevation = +49.21813 +/- 0.4138 deg
  Vavg      =  56.83451 +/- 0.3030 km/s
  Vinit     =  58.99927 +/- 0.3670 km/s
Radiant (geocentric, J2000):
  R.A.   =  55.65518 +/- 0.5466 deg
  Dec    = +60.27348 +/- 0.5251 deg
  Vg     =  57.80824 +/- 0.3736 km/s
  Vinf   =  58.86400 +/- 0.3670 km/s
  Zc     =  40.75003 +/- 0.4127 deg
  Zg     =  41.13515 +/- 0.4215 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  68.79463 +/- 0.2757 deg
  Bg     = +39.33913 +/- 0.5504 deg
  Vh     =  40.82974 +/- 0.5677 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  93.87574 +/- 0.6918 deg
  Bh     = +63.83317 +/- 0.4988 deg
  Vh_x   =   1.21703 +/- 0.2175 km/s
  Vh_y   = -17.96418 +/- 0.0835 km/s
  Vh_z   = -36.64525 +/- 0.6659 km/s
Orbit:
  La Sun = 143.105095 +/- -0.0000 deg
  a      =  10.437485 +/- 20.2079 AU
  e      =   0.911413 +/- 0.0489
  i      = 110.410553 +/- 0.4422 deg
  peri   = 144.847605 +/- 1.6046 deg
  node   = 143.104786 +/- 0.0000 deg
  Pi     = 287.952391 +/- 1.6046 deg
  q      =   0.924622 +/- 0.0056 AU
  f      =  35.148661 +/- 1.6046 deg
  M      =   0.713047 +/- nan deg
  Q      =  19.950348 +/- 40.4180 AU
  n      =   0.029229 +/- 0.0167 deg/day
  T      =  33.720532 +/- 339934608.5584 years
  Last perihelion JD = 2459418.141693 (2021-07-22 15:24:02.278156) +/- 0.9358 days
  Tj     =   0.092154 +/- 0.2728
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.381717e-03, +1.239127e-04, +3.355273e-02, +1.706134e-08, +6.932186e-04, -2.455963e-04
q   , +1.239127e-04, +1.874220e-05, +3.981980e-03, +1.135867e-09, +9.044132e-05, -1.634660e-05
Tp  , +3.355273e-02, +3.981980e-03, +9.391234e-01, +3.640222e-07, +2.044357e-02, -5.239303e-03
node, +1.706134e-08, +1.135867e-09, +3.640222e-07, +2.319728e-13, +7.098409e-09, -3.339495e-09
peri, +6.932186e-04, +9.044132e-05, +2.044357e-02, +7.098409e-09, +4.526362e-04, -1.021619e-04
i   , -2.455963e-04, -1.634660e-05, -5.239303e-03, -3.339495e-09, -1.021619e-04, +4.807583e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.004296
 a2 = 37.046528

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 5.522e-06 s
  Stddev    = 2.35e-03 s

Begin point on the trajectory:
  Lon =    -1.330725 +/- 0.0009 deg
  Lat =    53.937611 +/- 0.0005 deg
  Ht  = 105981.62 +/- 102.02 m
End point on the trajectory:
  Lon =    -1.442199 +/- 0.0006 deg
  Lat =    53.878605 +/- 0.0003 deg
  Ht  = 94419.76 +/- 52.40 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,   0.003126,  37.884082,   102867.01,    94419.76,          0.019228,     58.10,     58.65,              43.74, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210816_005208_467_0429056.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.005369,  36.755319,   105981.62,    95217.58,          0.014514,      9.82,     31.26,              56.91, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210816_005211_881_0424960.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,       0,  0.102894, 2459442.536298184656, 158.14170,  61.28782,              359.09174,  23.17942,       359.09505,       23.17645,    158.14170,     +61.28782,     158.13566,      +61.28491,  3503609.23, -1534374.42,  5214798.17,      53.921753,       -1.360696,  102867.01,  250749.89,       0.00,             6167.65,   401.92,      0.00,           56816.76,     13.24,     13.10,          15.32,  +2.23,  +0.23
  1,     UK001L,       0,  0.143114, 2459442.536298650317, 158.57554,  61.07638,              358.85922,  22.97283,       358.86837,       22.96464,    158.57554,     +61.07638,     158.55830,      +61.06841,  3503097.97, -1535115.95,  5213204.96,      53.914677,       -1.374112,  101478.77,  249451.41,    1830.18,             7997.83,  -135.41,  45504.19,           56816.76,     36.35,     35.97,          42.29,  +1.16,  -0.82
  2,     UK001L,       0,  0.183442, 2459442.536299116910, 159.08507,  60.74479,              358.58040,  22.64839,       358.55599,       22.67016,    159.08507,     +60.74479,     159.13332,      +60.76583,  3502397.11, -1536132.48,  5211020.88,      53.904968,       -1.392444,   99576.03,  247682.32,    4339.11,            10506.76,    -0.35,  62213.15,           56816.76,    -96.16,    -95.32,         112.76,  +1.06,  -0.91
  3,     UK001L,       0,  0.223730, 2459442.536299583502, 159.70963,  60.47102,              358.23844,  22.38549,       358.24743,       22.37749,    159.70963,     +60.47102,     159.69310,      +60.46334,  3501711.70, -1537126.59,  5208884.98,      53.895465,       -1.410377,   97715.64,  245964.80,    6792.71,            12960.36,    81.74,  60901.39,           56816.76,     35.21,     34.83,          41.54,  +1.01,  -0.94
  4,     UK001L,       0,  0.264018, 2459442.536300049629, 160.15540,  60.17510,              357.98707,  22.09888,       357.97052,       22.11359,    160.15540,     +60.17510,     160.18861,      +60.18912,  3501102.90, -1538009.60,  5206987.78,      53.887017,       -1.426326,   96063.48,  244449.90,    8972.09,            15139.74,  -110.40,  54095.02,           56860.61,    -64.41,    -63.80,          76.50,  +1.62,  -0.32
  5,     UK001L,       0,  0.304298, 2459442.536300515756, 160.64462,  59.89645,              357.70995,  21.83187,       357.69259,       21.84726,    160.64462,     +59.89645,     160.67949,      +59.91103,  3500497.10, -1538888.26,  5205099.95,      53.878605,       -1.442199,   94419.76,  242952.60,   11140.71,            17308.37,  -312.81,  53838.84,           56441.53,    -67.13,    -66.49,          80.21,  +3.64,  +1.71
  0,     UK002Z,       1,  0.000000, 2459442.536296992097, 270.06816,  59.30687,              306.81347,  53.98383,       306.78096,       54.00605,    270.06816,     +59.30687,     270.12228,      +59.29710,  3505331.41, -1531876.57,  5220164.94,      53.945559,       -1.315649,  107544.86,  132308.15,       0.00,                2.64,   293.63,      0.00,           56843.68,    -64.58,     20.22,         105.50,  +4.05,  +3.44
  1,     UK002Z,       0,  0.040580, 2459442.536297461949, 269.63390,  58.57975,              305.81289,  53.50554,       305.81224,       53.50598,    269.63390,     +58.57975,     269.63513,      +58.57955,  3504755.99, -1532711.16,  5218371.78,      53.937611,       -1.330725,  105981.62,  131208.69,    2059.87,             2062.50,   -35.20,  50760.66,           56843.68,     -1.28,      0.40,           2.11,  +1.77,  +1.18
  2,     UK002Z,       0,  0.081284, 2459442.536297932733, 269.12867,  57.69718,              304.63210,  52.91393,       304.66859,       52.88981,    269.12867,     +57.69718,     269.07108,      +57.70759,  3504070.59, -1533705.26,  5216235.90,      53.928136,       -1.348651,  104119.94,  129928.72,    4513.44,             4516.08,    22.37,  60278.43,           56843.68,     70.64,    -22.21,         117.56,  +1.14,  +0.57
  3,     UK002Z,       0,  0.121996, 2459442.536298403982, 268.56897,  56.83980,              303.55338,  52.28352,       303.57199,       52.27142,    268.56897,     +56.83980,     268.54060,      +56.84497,  3503407.29, -1534667.31,  5214168.89,      53.918959,       -1.366008,  102318.66,  128722.82,    6887.89,             6890.52,     0.35,  58323.04,           56843.68,     35.62,    -11.19,          59.82,  +0.34,  -0.21
  4,     UK002Z,       0,  0.162784, 2459442.536298876163, 267.98722,  55.88997,              302.39424,  51.57981,       302.39739,       51.57780,    267.98722,     +55.88997,     267.98313,      +55.89082,  3502689.23, -1535708.79,  5211931.21,      53.909015,       -1.384786,  100369.06,  127454.10,    9458.40,             9461.03,   169.91,  63021.17,           58345.21,      5.95,     -1.87,          10.10,  +0.12,  -0.41
  5,     UK002Z,       0,  0.203460, 2459442.536299346946, 267.53430,  55.05961,              301.39932,  50.97315,       301.40841,       50.96741,    267.53430,     +55.05961,     267.52165,      +55.06202,  3502078.58, -1536594.48,  5210028.26,      53.900552,       -1.400782,   98711.40,  126407.33,   11644.39,            11647.02,   -38.45,  53741.54,           58115.98,     17.05,     -5.35,          29.16,  +0.12,  -0.39
  6,     UK002Z,       0,  0.244248, 2459442.536299819127, 267.00401,  54.10939,              300.31043,  50.25207,       300.30387,       50.25615,    267.00401,     +54.10939,     267.01459,      +54.10769,  3501388.69, -1537595.10,  5207878.37,      53.890983,       -1.418834,   96839.00,  125259.53,   14114.05,            14116.69,    30.27,  60548.84,           58295.38,    -12.21,      3.83,          21.07,  +0.09,  -0.40
  7,     UK002Z,       0,  0.284940, 2459442.536300289910, 266.57753,  53.26629,              299.36311,  49.61739,       299.35762,       49.62076,    266.57753,     +53.26629,     266.58657,      +53.26490,  3500791.16, -1538461.76,  5206016.30,      53.882689,       -1.434494,   95217.58,  124297.48,   16253.08,            16255.72,  -225.99,  52566.33,           57892.88,    -10.14,      3.18,          17.63,  +0.46,  -0.01
  8,     UK002Z,       1,  0.325504, 2459442.536300759297, 266.31866,  52.53944,              298.52213,  49.11464,       298.57972,       49.07963,    266.31866,     +52.53944,     266.23878,      +52.55386,  3500295.28, -1539180.98,  5204471.02,      53.875801,       -1.447519,   93872.20,  123522.75,   18028.20,            18030.83,  -838.64,  43760.82,           56766.82,    105.83,    -33.31,         185.26,  +4.74,  +4.28

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.