Orbital Analysis for matched events on 20210816_031104.178_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 67.71° Bg 38.17° Vg 55.11km/s
mass 0.00740g, abs. mag 0.7
Path Details
------------
start -2.09° 52.16° 106.37km
end   -2.14° 52.14° 97.53km

Orbit Details
-------------
Semimajor axis 2.74A.U., eccentricity 0.67, inclination 110.21°, Period 4.52Y, LA Sun 143.20°, last Perihelion 2021-07-17

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: 2459442.632687248290
Time: 2021-08-16 03:11:04.178252 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK001Z
 Convergence angle = 35.11057 deg
 R.A. =  55.46930  Dec = +58.96967 deg

Best intersection: Stations UK000S and UK001Z with Qconv = 35.11 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3920238.72 +/- 44.85 m
 Y =    720472.29 +/- 36.01 m
 Z =   5098012.21 +/- 181.14 m
 Vx =    16746.62 +/- 1116.79 m/s
 Vy =    23623.17 +/- 1257.74 m/s
 Vz =    48183.40 +/- 1590.95 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.149017e+03, +4.767439e+02, -3.198624e+03, +1.038202e+04, +5.993346e+03, -3.585532e+04
+4.767439e+02, +5.870202e+02, -1.521033e+03, +5.958198e+02, +3.195483e+03, -1.165423e+04
-3.198624e+03, -1.521033e+03, +1.276209e+04, -4.016138e+04, -2.503073e+04, +1.366085e+05
+1.038202e+04, +5.958198e+02, -4.016138e+04, +2.132366e+05, +9.629615e+04, -6.048559e+05
+5.993346e+03, +3.195483e+03, -2.503073e+04, +9.629615e+04, +7.271656e+04, -3.477551e+05
-3.585532e+04, -1.165423e+04, +1.366085e+05, -6.048559e+05, -3.477551e+05, +1.937602e+06

Timing offsets (from input data):
    UK000S: 0.000000 s
    UK001Z: -0.000194 s

Reference point on the trajectory:
  Time: 2021-08-16 03:11:04.178252 UTC
  Lon     = +-2.091411 +/- 0.0004 deg
  Lat     = +52.163359 +/- 0.0013 deg
  Lat geo = +51.979833 +/- 0.0013 deg
  Ht      =  106360.41 +/- 115.50 m

  JD dynamic   = 2459442.633487989195 
  LST apparent = 10.4137687253 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  54.66693 +/- 0.5287 deg
  Dec       = +58.99527 +/- 1.2383 deg
  Azimuth   =  56.89364 +/- 2.8715 deg
  Elevation = +64.58808 +/- 0.2362 deg
  Vavg      =  54.83593 +/- 1.2901 km/s
  Vinit     =  56.21515 +/- 1.1611 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  55.07598 +/- 0.5287 deg
  Dec       = +58.81776 +/- 1.2383 deg
  Azimuth   =  57.26693 +/- 2.8715 deg
  Elevation = +64.36388 +/- 0.2362 deg
  Vavg      =  54.94106 +/- 1.2901 km/s
  Vinit     =  56.32028 +/- 1.1611 km/s
Radiant (geocentric, J2000):
  R.A.   =  54.72557 +/- 0.5258 deg
  Dec    = +58.90861 +/- 1.2486 deg
  Vg     =  55.10858 +/- 1.1831 km/s
  Vinf   =  56.21515 +/- 1.1611 km/s
  Zc     =  25.51259 +/- 0.2415 deg
  Zg     =  25.77047 +/- 0.2369 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.70782 +/- 0.7436 deg
  Bg     = +38.17039 +/- 1.1394 deg
  Vh     =  37.78558 +/- 1.6422 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  93.20757 +/- 1.4540 deg
  Bh     = +64.33349 +/- 0.4823 deg
  Vh_x   =   0.91574 +/- 0.4612 km/s
  Vh_y   = -16.34052 +/- 0.3816 km/s
  Vh_z   = -34.05729 +/- 1.6238 km/s
Orbit:
  La Sun = 143.197724 +/- 0.0000 deg
  a      =   2.735064 +/- 12.9355 AU
  e      =   0.665855 +/- 0.1363
  i      = 110.207189 +/- 0.7511 deg
  peri   = 139.115116 +/- 3.0980 deg
  node   = 143.198272 +/- 0.0000 deg
  Pi     = 282.313387 +/- 3.0981 deg
  q      =   0.913907 +/- 0.0069 AU
  f      =  40.881559 +/- 3.0980 deg
  M      =   6.562027 +/- nan deg
  Q      =   4.556221 +/- 25.8693 AU
  n      =   0.217898 +/- 0.0793 deg/day
  T      =   4.523264 +/- 249443814.1404 years
  Last perihelion JD = 2459412.518325 (2021-07-17 00:26:23.269425) +/- 2.6300 days
  Tj     =   1.529148 +/- 0.7751
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.283402e-02, +6.243705e-04, +3.113040e-01, +8.144447e-08, +5.540877e-03, -1.326772e-03
q   , +6.243705e-04, +3.723361e-05, +1.609268e-02, +3.967006e-09, +2.959967e-04, -6.461341e-05
Tp  , +3.113040e-01, +1.609268e-02, +7.773541e+00, +1.999360e-06, +1.395263e-01, -3.255068e-02
node, +8.144447e-08, +3.967006e-09, +1.999360e-06, +5.307615e-13, +3.555427e-08, -8.641681e-09
peri, +5.540877e-03, +2.959967e-04, +1.395263e-01, +3.555427e-08, +2.517773e-03, -5.788583e-04
i   , -1.326772e-03, -6.461341e-05, -3.255068e-02, -8.641681e-09, -5.788583e-04, +1.407047e-04

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

Mean time residuals from time vs. length:
  Station with reference time: UK000S
  Avg. res. = 1.550e-05 s
  Stddev    = 3.94e-03 s

Begin point on the trajectory:
  Lon =    -2.091348 +/- 0.0004 deg
  Lat =    52.163384 +/- 0.0013 deg
  Ht  = 106371.45 +/- 111.47 m
End point on the trajectory:
  Lon =    -2.142735 +/- 0.0003 deg
  Lat =    52.143065 +/- 0.0013 deg
  Ht  = 97530.73 +/- 120.63 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,   106371.45,    98502.10,          0.008956,      5.57,     27.34,              45.47, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210816_031105_102_0633600.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,   105651.49,    97530.73,          0.023129,     53.33,     50.29,              34.27, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210816_031056_894_0633600.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,  0.000000, 2459442.632687248290, 214.90539,  73.03545,              351.60951,  35.01566,       351.61352,       35.01360,    214.90539,     +73.03545,     214.89242,      +73.03453,  3920242.36,   720477.43,  5098022.69,      52.163384,       -2.091348,  106371.45,  182352.35,       0.00,               12.22,   291.12,      0.00,           53646.76,     12.07,      2.47,          13.93,  +2.69,  +1.39
  1,     UK000S,       0,  0.040344, 2459442.632687715348, 215.25480,  72.57127,              351.31094,  34.60818,       351.30339,       34.61205,    215.25480,     +72.57127,     215.27867,      +72.57296,  3919636.28,   719622.47,  5096278.86,      52.159168,       -2.102031,  104533.81,  180979.82,    2034.51,             2022.29,    33.24,  50429.17,           53646.76,    -22.65,     -4.63,          26.35,  +1.87,  +0.58
  2,     UK000S,       0,  0.080728, 2459442.632688182406, 215.71329,  72.03302,              350.94210,  34.14293,       350.94508,       34.14140,    215.71329,     +72.03302,     215.70436,      +72.03237,  3918938.73,   718638.49,  5094271.86,      52.154310,       -2.114305,  102419.00,  179415.60,    4376.06,             4363.83,   104.59,  57981.90,           53646.76,      8.92,      1.82,          10.47,  +1.49,  +0.22
  3,     UK000S,       0,  0.121072, 2459442.632688649464, 216.11841,  71.55162,              350.60986,  33.72845,       350.62741,       33.71948,    216.11841,     +71.55162,     216.06598,      +71.54788,  3918324.85,   717772.54,  5092505.61,      52.150032,       -2.125132,  100557.97,  178053.39,    6436.73,             6424.50,  -102.68,  51077.47,           53646.76,     52.19,     10.63,          61.70,  +1.47,  +0.22
  4,     UK000S,       0,  0.161472, 2459442.632689116988, 216.46551,  71.00455,              350.26934,  33.24778,       350.27496,       33.24491,    216.46551,     +71.00455,     216.44958,      +71.00338,  3917646.66,   716815.87,  5090554.33,      52.145301,       -2.137081,   98502.10,  176564.17,    8713.27,             8701.05,   -97.23,  56350.05,           54075.67,     16.62,      3.39,          19.81,  +1.96,  +0.73
  0,     UK001Z,       0,  0.021096, 2459442.632687488571, 138.23068,  66.17854,               22.19032,  33.39807,        22.20087,       33.39414,    138.23068,     +66.17854,     138.21882,      +66.17018,  3920004.91,   720142.47,  5097339.49,      52.161733,       -2.095553,  105651.49,  188339.39,       0.00,              784.86,  -122.15,      0.00,           58536.51,     21.77,     23.03,          34.71,  +2.28,  +0.91
  1,     UK001Z,       0,  0.061452, 2459442.632687955629, 139.13780,  65.96027,               21.98626,  33.00580,        21.98961,       33.00456,    139.13780,     +65.96027,     139.13412,      +65.95763,  3919303.03,   719152.38,  5095320.03,      52.156848,       -2.107900,  103523.46,  186438.47,    2356.09,             3140.94,   -34.69,  58382.53,           58536.51,      6.87,      7.27,          11.06,  +2.10,  +0.75
  2,     UK001Z,       0,  0.101828, 2459442.632688423153, 140.11445,  65.73293,               21.75246,  32.59016,        21.76490,       32.58554,    140.11445,     +65.73293,     140.10023,      +65.72317,  3918564.48,   718110.57,  5093195.08,      52.151702,       -2.120890,  101284.42,  184449.89,    4835.25,             5620.11,   174.73,  61401.94,           58536.51,     25.33,     26.78,          41.22,  +1.92,  +0.59
  3,     UK001Z,       0,  0.142180, 2459442.632688890211, 140.96119,  65.50169,               21.56514,  32.20203,        21.56150,       32.20338,    140.96119,     +65.50169,     140.96603,      +65.50453,  3917904.92,   717180.18,  5091297.40,      52.147103,       -2.132512,   99284.99,  182683.85,    7049.25,             7834.11,   120.34,  54867.26,           58536.51,     -7.36,     -7.79,          12.10,  +2.50,  +1.19
  4,     UK001Z,       0,  0.182500, 2459442.632689356804, 141.66307,  65.26407,               21.43393,  31.84208,        21.38072,       31.86177,    141.66307,     +65.26407,     141.72802,      +65.30539,  3917326.21,   716363.84,  5089632.33,      52.143065,       -2.142735,   97530.73,  181142.01,    8991.88,             9776.74,  -203.63,  48180.20,           56196.14,   -106.91,   -113.40,         177.46,  +4.61,  +3.32

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.