Orbital Analysis for matched events on 20210816_021227.085_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 68.01° Bg 37.36° Vg 57.01km/s
mass 0.00889g, abs. mag 0.3
Path Details
------------
start -3.96° 49.46° 105.80km
end   -4.03° 49.42° 96.30km

Orbit Details
-------------
Semimajor axis 4.01A.U., eccentricity 0.77, inclination 112.58°, Period 8.04Y, LA Sun 143.16°, last Perihelion 2021-07-19

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: 2459442.591980161145
Time: 2021-08-16 02:12:27.085923 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003C and UK003E
 Convergence angle = 46.03023 deg
 R.A. =  55.77858  Dec = +58.65630 deg

Best intersection: Stations UK003C and UK003E with Qconv = 46.03 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4198207.95 +/- 109.24 m
 Y =   -452040.94 +/- 39.37 m
 Z =   4904464.62 +/- 29.43 m
 Vx =    17302.63 +/- 865.54 m/s
 Vy =    25084.72 +/- 256.84 m/s
 Vz =    49439.89 +/- 479.68 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.224250e+04, +3.507931e+03, +2.531530e+03, +7.652979e+04, -3.135524e+03, -4.420337e+04
+3.507931e+03, +1.595865e+03, +9.068178e+02, +2.598763e+04, +3.060365e+03, -1.673311e+04
+2.531530e+03, +9.068178e+02, +8.547114e+02, +1.670610e+04, +2.582930e+02, -1.021908e+04
+7.652979e+04, +2.598763e+04, +1.670610e+04, +6.104316e+05, +1.301914e+04, -3.646753e+05
-3.135524e+03, +3.060365e+03, +2.582930e+02, +1.301914e+04, +3.234730e+04, -1.806820e+04
-4.420337e+04, -1.673311e+04, -1.021908e+04, -3.646753e+05, -1.806820e+04, +2.266745e+05

Timing offsets (from input data):
    UK003C: 0.000000 s
    UK003E: -0.000566 s

Reference point on the trajectory:
  Time: 2021-08-16 02:12:27.085923 UTC
  Lon     = +-3.956135 +/- 0.0007 deg
  Lat     = +49.460440 +/- 0.0006 deg
  Lat geo = +49.273357 +/- 0.0006 deg
  Ht      =  105831.34 +/- 87.23 m

  JD dynamic   = 2459442.592780902050 
  LST apparent = 353.8543694510 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  55.40333 +/- 1.2026 deg
  Dec       = +58.35151 +/- 0.6296 deg
  Azimuth   =  51.77650 +/- 1.2632 deg
  Elevation = +54.03885 +/- 0.4792 deg
  Vavg      =  57.98342 +/- 0.2022 km/s
  Vinit     =  58.07691 +/- 0.1771 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  55.67671 +/- 1.2026 deg
  Dec       = +58.12441 +/- 0.6296 deg
  Azimuth   =  52.09430 +/- 1.2632 deg
  Elevation = +53.84574 +/- 0.4792 deg
  Vavg      =  58.12611 +/- 0.2022 km/s
  Vinit     =  58.21960 +/- 0.1771 km/s
Radiant (geocentric, J2000):
  R.A.   =  55.60835 +/- 1.2129 deg
  Dec    = +58.20387 +/- 0.6313 deg
  Vg     =  57.00656 +/- 0.1804 km/s
  Vinf   =  58.07691 +/- 0.1771 km/s
  Zc     =  36.07716 +/- 0.4821 deg
  Zg     =  36.42424 +/- 0.4851 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  68.00955 +/- 0.9770 deg
  Bg     = +37.36304 +/- 0.4455 deg
  Vh     =  39.12915 +/- 0.4787 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  91.25512 +/- 2.3667 deg
  Bh     = +62.14467 +/- 0.2432 deg
  Vh_x   =   0.40047 +/- 0.7573 km/s
  Vh_y   = -18.27834 +/- 0.2148 km/s
  Vh_z   = -34.59526 +/- 0.4463 km/s
Orbit:
  La Sun = 143.158605 +/- 0.0000 deg
  a      =   4.014343 +/- 1.0591 AU
  e      =   0.771843 +/- 0.0405
  i      = 112.582215 +/- 0.7216 deg
  peri   = 141.318087 +/- 0.9721 deg
  node   = 143.158672 +/- 0.0000 deg
  Pi     = 284.476760 +/- 0.9721 deg
  q      =   0.915902 +/- 0.0070 AU
  f      =  38.678415 +/- 0.9722 deg
  M      =   3.391048 +/- 0.7704 deg
  Q      =   7.112784 +/- 2.1245 AU
  n      =   0.122541 +/- 0.0289 deg/day
  T      =   8.043080 +/- 3.6241 years
  Last perihelion JD = 2459414.920071 (2021-07-19 10:04:54.132771) +/- 0.3541 days
  Tj     =   0.867545 +/- 0.2127
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.690837e-03, -2.747694e-04, -4.762276e-03, +3.313811e-08, -5.882172e-04, -5.070789e-04
q   , -2.747694e-04, +5.274240e-05, +1.810141e-03, -5.097557e-09, +1.254944e-04, +7.801871e-05
Tp  , -4.762276e-03, +1.810141e-03, +1.466216e-01, -5.555978e-08, +5.496104e-03, +8.508616e-04
node, +3.313811e-08, -5.097557e-09, -5.555978e-08, +7.031077e-13, -1.045199e-08, -1.075275e-08
peri, -5.882172e-04, +1.254944e-04, +5.496104e-03, -1.045199e-08, +3.153437e-04, +1.599685e-04
i   , -5.070789e-04, +7.801871e-05, +8.508616e-04, -1.075275e-08, +1.599685e-04, +1.644513e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 51.424779
 a2 = -0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK003C
  Avg. res. = 1.013e-05 s
  Stddev    = 3.18e-03 s

Begin point on the trajectory:
  Lon =    -3.956370 +/- 0.0006 deg
  Lat =    49.460320 +/- 0.0006 deg
  Ht  = 105800.99 +/- 86.25 m
End point on the trajectory:
  Lon =    -4.030741 +/- 0.0005 deg
  Lat =    49.422520 +/- 0.0008 deg
  Ht  = 96303.65 +/- 47.82 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
    UK003C,   False,    -4.949858,    50.224871,   55.00,  52.595384,   0.000001,   105800.99,    96303.65,          0.012988,     22.68,     25.30,              55.49, 1.0000,    True,    True, {"ff_name": "FF_UK003C_20210816_021228_070_0537600.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,  16.073587,   8.013438,   103895.44,    96362.13,          0.016376,     81.45,      3.18,             101.69, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20210816_021222_975_0550144.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,     UK003C,       0,  0.000000, 2459442.591980161145,  21.67213,   9.53868,              139.58270,  42.85844,       139.57892,       42.85560,     21.67213,      +9.53868,      21.67576,       +9.53727,  4198196.78,  -452057.14,  4904432.70,      49.460320,       -3.956370,  105800.99,  154026.55,       0.00,               37.50,  -198.25,      0.00,           60173.31,      7.95,      7.13,          14.30,  +2.05,  +1.11
  1,     UK003C,       0,  0.040216, 2459442.591980626807,  21.36804,   8.78361,              140.38062,  42.29716,       140.36827,       42.28797,     21.36804,      +8.78361,      21.38033,       +8.77902,  4197412.69,  -453193.89,  4902192.26,      49.451858,       -3.973016,  103670.93,  152532.33,    2631.83,             2669.33,    97.96,  65442.34,           60173.31,     25.68,     23.02,          46.64,  +1.39,  +0.47
  2,     UK003C,       0,  0.080380, 2459442.591981091537,  21.13993,   8.21318,              140.97295,  41.86933,       140.95575,       41.85663,     21.13993,      +8.21318,      21.15718,       +8.20680,  4196830.95,  -454037.26,  4900530.04,      49.445575,       -3.985412,  102090.81,  151442.43,    4584.45,             4621.95,  -282.02,  48616.09,           60173.31,     35.50,     31.84,          64.95,  +0.79,  -0.11
  3,     UK003C,       0,  0.120652, 2459442.591981557664,  20.83190,   7.36201,              141.80438,  41.21330,       141.80563,       41.21422,     20.83190,      +7.36201,      20.83103,       +7.36248,  4195987.80,  -455259.63,  4898120.85,      49.436461,       -4.003309,   99800.99,  149896.59,    7414.51,             7452.01,   209.17,  70273.69,           60173.31,     -2.56,     -2.30,           4.73,  +0.23,  -0.65
  4,     UK003C,       0,  0.160848, 2459442.591982022859,  20.59307,   6.72329,              142.42751,  40.72058,       142.43606,       40.72679,     20.59307,      +6.72329,      20.58514,       +6.72646,  4195363.92,  -456164.12,  4896338.19,      49.429712,       -4.016600,   98106.90,  148775.77,    9508.60,             9546.10,   -31.20,  52096.98,           59185.14,    -17.36,    -15.56,          32.32,  +0.33,  -0.53
  5,     UK003C,       0,  0.201068, 2459442.591982488520,  20.33890,   6.03148,              143.08742,  40.18184,       143.10695,       40.19591,     20.33890,      +6.03148,      20.32029,       +6.03870,  4194699.74,  -457127.01,  4894440.40,      49.422520,       -4.030741,   96303.65,  147606.37,   11737.93,            11775.43,  -137.73,  55428.38,           58366.05,    -39.36,    -35.26,          73.85,  +1.42,  +0.57
  0,     UK003E,       0,  0.037302, 2459442.591980549507, 320.89222, -11.36059,              216.96554,  20.30440,       216.96932,       20.30501,    320.89222,     -11.36059,     320.88912,      -11.35866,  4197495.34,  -453074.06,  4902428.43,      49.452750,       -3.971251,  103895.44,  283332.88,       0.00,             2391.91,   -10.20,      0.00,           57744.91,     -0.69,    -17.78,          12.95,  +1.94,  -0.32
  1,     UK003E,       0,  0.077734, 2459442.591981017496, 320.64116, -11.76412,              217.04252,  19.83738,       217.05688,       19.83970,    320.64116,     -11.76412,     320.62952,      -11.75678,  4196783.69,  -454105.79,  4900394.98,      49.445065,       -3.986379,  101962.44,  283846.36,    2388.69,             4780.60,    30.33,  59079.29,           57744.91,     -2.63,    -67.82,          49.32,  +1.20,  -1.07
  2,     UK003E,       0,  0.118126, 2459442.591981485020, 320.39824, -12.11535,              217.13187,  19.42173,       217.13519,       19.42226,    320.39824,     -12.11535,     320.39584,      -12.11364,  4196143.14,  -455034.43,  4898564.71,      49.438141,       -4.000017,  100222.82,  284325.64,    4538.70,             6930.60,  -165.51,  53228.49,           57744.91,     -0.61,    -15.74,          11.43,  +2.68,  +0.41
  3,     UK003E,       0,  0.158582, 2459442.591981953010, 320.12283, -12.53192,              217.22425,  18.93355,       217.22594,       18.93382,    320.12283,     -12.53192,     320.12193,      -12.53105,  4195390.78,  -456125.18,  4896414.93,      49.430002,       -4.016009,   98179.82,  284907.21,    7064.05,             9455.95,    10.28,  62422.08,           57744.91,     -0.31,     -8.07,           5.85,  +1.30,  -0.97
  4,     UK003E,       0,  0.198986, 2459442.591982421000, 319.90655, -12.91881,              217.27128,  18.49514,       217.30618,       18.50080,    319.90655,     -12.91881,     319.87819,      -12.90075,  4194721.29,  -457095.78,  4894501.95,      49.422754,       -4.030263,   96362.13,  285443.32,    9311.21,            11703.12,   -89.10,  55617.35,           57637.19,     -6.53,   -167.16,         120.89,  +2.00,  -0.28

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.