Orbital Analysis for matched events on 20210813_012538.442_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.25° Bg 38.96° Vg 57.99km/s
mass 0.02725g, abs. mag -0.6
Path Details
------------
start -1.84° 52.89° 108.91km
end   -1.95° 52.84° 95.65km

Orbit Details
-------------
Semimajor axis 7.81A.U., eccentricity 0.88, inclination 111.73°, Period 21.82Y, LA Sun 140.25°, 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: 2459439.559472709429
Time: 2021-08-13 01:25:38.482931 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK002Z
 Convergence angle = 44.63009 deg
 R.A. =  48.16875  Dec = +58.55923 deg

Best intersection: Stations UK002H and UK002Z with Qconv = 44.63 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3716082.49 +/- 48.33 m
 Y =  -1257554.82 +/- 26.35 m
 Z =   5152564.42 +/- 18.74 m
 Vx =    20619.04 +/- 234.33 m/s
 Vy =    22650.34 +/- 159.25 m/s
 Vz =    50473.28 +/- 116.53 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.424369e+03, -4.695654e+02, +3.924036e+02, +1.055983e+04, -2.727687e+03, -1.605005e+00
-4.695654e+02, +7.369366e+02, -7.789575e+01, -3.373524e+03, +3.089511e+03, -7.414916e+02
+3.924036e+02, -7.789575e+01, +3.651704e+02, +1.457729e+03, -8.770643e+02, +4.354325e+02
+1.055983e+04, -3.373524e+03, +1.457729e+03, +5.431502e+04, -1.772413e+04, +1.746760e+03
-2.727687e+03, +3.089511e+03, -8.770643e+02, -1.772413e+04, +1.523173e+04, -3.595672e+03
-1.605005e+00, -7.414916e+02, +4.354325e+02, +1.746760e+03, -3.595672e+03, +2.844571e+03

Timing offsets (from input data):
    UK002H: 0.000063 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 01:25:38.482931 UTC
  Lon     = +-1.815296 +/- 0.0004 deg
  Lat     = +52.896932 +/- 0.0003 deg
  Lat geo = +52.714795 +/- 0.0003 deg
  Ht      =  111455.89 +/- 38.62 m

  JD dynamic   = 2459439.560273922980 
  LST apparent = 341.3037310668 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  47.68781 +/- 0.4314 deg
  Dec       = +58.74848 +/- 0.1082 deg
  Azimuth   =  53.63866 +/- 0.2625 deg
  Elevation = +53.82325 +/- 0.1922 deg
  Vavg      =  57.78516 +/- 0.0983 km/s
  Vinit     =  59.04011 +/- 0.0689 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.90036 +/- 0.4314 deg
  Dec       = +58.53135 +/- 0.1082 deg
  Azimuth   =  53.91567 +/- 0.2625 deg
  Elevation = +53.64288 +/- 0.1922 deg
  Vavg      =  57.92168 +/- 0.0983 km/s
  Vinit     =  59.17663 +/- 0.0689 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.87228 +/- 0.4348 deg
  Dec    = +58.54959 +/- 0.1081 deg
  Vg     =  57.98826 +/- 0.0702 km/s
  Vinf   =  59.04011 +/- 0.0689 km/s
  Zc     =  36.28499 +/- 0.1927 deg
  Zg     =  36.62247 +/- 0.1952 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.24966 +/- 0.2992 deg
  Bg     = +38.96094 +/- 0.0930 deg
  Vh     =  40.46603 +/- 0.0512 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  84.33183 +/- 0.7575 deg
  Bh     = +64.29964 +/- 0.1565 deg
  Vh_x   =  -1.73323 +/- 0.2282 km/s
  Vh_y   = -17.46289 +/- 0.0988 km/s
  Vh_z   = -36.46289 +/- 0.0849 km/s
Orbit:
  La Sun = 140.245606 +/- nan deg
  a      =   7.808831 +/- 0.2939 AU
  e      =   0.878440 +/- 0.0042
  i      = 111.731673 +/- 0.1584 deg
  peri   = 149.875978 +/- 0.7446 deg
  node   = 140.245382 +/- 0.0000 deg
  Pi     = 290.121360 +/- 0.7446 deg
  q      =   0.949242 +/- 0.0031 AU
  f      =  30.120303 +/- 0.7446 deg
  M      =   0.973400 +/- 0.0693 deg
  Q      =  14.668420 +/- 0.5865 AU
  n      =   0.045167 +/- 0.0025 deg/day
  T      =  21.821252 +/- 1.2426 years
  Last perihelion JD = 2459418.009332 (2021-07-22 12:13:26.316689) +/- 0.4827 days
  Tj     =   0.233004 +/- 0.0249
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.880863e-05, +5.037064e-06, +9.596220e-04, +2.167370e-10, +2.325861e-05, -3.098884e-06
q   , +5.037064e-06, +1.002152e-05, +1.542340e-03, -2.990786e-10, +4.172756e-05, +4.303097e-06
Tp  , +9.596220e-04, +1.542340e-03, +2.395022e-01, -4.102068e-08, +6.448732e-03, +5.904336e-04
node, +2.167370e-10, -2.990786e-10, -4.102068e-08, +3.825636e-14, -1.176745e-09, -5.495500e-10
peri, +2.325861e-05, +4.172756e-05, +6.448732e-03, -1.176745e-09, +1.740830e-04, +1.693384e-05
i   , -3.098884e-06, +4.303097e-06, +5.904336e-04, -5.495500e-10, +1.693384e-05, +7.894264e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.960794
 a2 = 16.902727

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 2.871e-06 s
  Stddev    = 1.69e-03 s

Begin point on the trajectory:
  Lon =    -1.837222 +/- 0.0002 deg
  Lat =    52.887167 +/- 0.0003 deg
  Ht  = 108907.23 +/- 20.15 m
End point on the trajectory:
  Lon =    -1.952648 +/- 0.0002 deg
  Lat =    52.836149 +/- 0.0002 deg
  Ht  = 95649.73 +/- 39.32 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
    UK002H,   False,    -2.412630,    53.386080,   20.00,   2.227996,  13.755459,   107101.70,    95649.73,          0.008619,     17.86,      3.78,              46.67, 1.0000,   False,    True, {"ff_name": "FF_UK002H_20210813_012530_675_0452608.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,  71.598855,   0.000000,   108907.23,    97626.96,          0.009991,     23.89,     15.43,              83.20, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_012530_802_0464384.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,     UK002H,       0,  0.081086, 2459439.559473647270, 359.99011,  23.99033,              146.14060,  57.21180,       146.13506,       57.20792,    359.99011,     +23.99033,     359.99505,      +23.98781,  3714198.34, -1259624.60,  5147952.19,      52.880241,       -1.852929,  107101.70,  126946.06,       0.00,             5395.06,    20.93,      0.00,           58497.77,      2.25,     10.63,          17.66,  +0.62,  +0.10
  1,     UK002H,       0,  0.121662, 2459439.559474116657, 359.53750,  23.30903,              147.29754,  56.72358,       147.29034,       56.71865,    359.53750,     +23.30903,     359.54393,      +23.30579,  3713382.64, -1260520.65,  5145955.46,      52.873004,       -1.869325,  105217.14,  125397.84,    2335.64,             7730.70,   -39.04,  57562.12,           58497.77,      2.87,     13.54,          22.76,  +0.32,  -0.17
  2,     UK002H,       0,  0.162318, 2459439.559474587440, 359.04780,  22.54111,              148.54145,  56.15763,       148.54454,       56.15970,    359.04780,     +22.54111,     359.04596,      +22.54248,  3712494.61, -1261496.17,  5143781.65,      52.865118,       -1.887164,  103165.76,  123740.92,    4878.42,            10273.47,   103.40,  62543.67,           58497.77,     -1.21,     -5.69,           9.70,  +0.14,  -0.32
  3,     UK002H,       0,  0.202898, 2459439.559475056827, 358.62247,  21.85929,              149.60692,  55.64461,       149.62380,       55.65573,    358.62247,     +21.85929,     358.60972,      +21.86671,  3711728.94, -1262337.28,  5141907.35,      52.858313,       -1.902572,  101397.30,  122336.45,    7070.83,            12465.89,  -100.03,  54027.00,           58497.77,     -6.48,    -30.58,          52.71,  +0.13,  -0.31
  4,     UK002H,       0,  0.243562, 2459439.559475527611, 358.12222,  21.08496,              150.81681,  55.05879,       150.82749,       55.06569,    358.12222,     +21.08496,     358.11471,      +21.08960,  3710871.07, -1263279.66,  5139807.38,      52.850681,       -1.919820,   99416.20,  120791.35,    9527.23,            14922.29,   -44.44,  60407.16,           58568.34,     -4.02,    -19.01,          33.18,  +0.19,  -0.22
  5,     UK002H,       0,  0.284198, 2459439.559475997929, 357.65082,  20.34512,              151.93653,  54.48899,       151.94241,       54.49272,    357.65082,     +20.34512,     357.64733,      +20.34766,  3710073.18, -1264156.15,  5137854.24,      52.843576,       -1.935878,   97573.88,  119381.66,   11811.89,            17206.94,  -158.94,  56222.49,           58253.21,     -2.18,    -10.32,          18.23,  +0.65,  +0.27
  6,     UK002H,       0,  0.324874, 2459439.559476468712, 357.14092,  19.55807,              153.11341,  53.87671,       153.10044,       53.86863,    357.14092,     +19.55807,     357.15251,      +19.55251,  3709239.73, -1265071.71,  5135814.04,      52.836149,       -1.952648,   95649.73,  117938.77,   14198.37,            19593.43,  -173.97,  58670.56,           58185.48,      4.73,     22.41,          40.05,  +3.29,  +2.93
  0,     UK002Z,       1,  0.000000, 2459439.559472709429, 304.14592,  16.36563,              233.94447,  42.24522,       233.87182,       42.24472,    304.14592,     +16.36563,     304.19419,      +16.33828,  3716073.87, -1257564.30,  5152543.31,      52.896856,       -1.815297,  111435.95,  164021.02,       0.00,               24.70,  -562.11,      0.00,           62422.88,    -83.65,    129.27,         193.63,  +4.60,  +3.53
  1,     UK002Z,       0,  0.040844, 2459439.559473182075, 303.61977,  15.39801,              233.88458,  41.15417,       233.88885,       41.15420,    303.61977,     +15.39801,     303.61706,      +15.39964,  3714979.71, -1258766.25,  5149864.91,      52.887167,       -1.837222,  108907.23,  163667.91,    3133.00,             3157.70,   159.46,  76706.59,           62422.88,      4.99,     -7.72,          11.59,  +1.64,  +0.57
  2,     UK002Z,       0,  0.081472, 2459439.559473652393, 303.19840,  14.72917,              233.91155,  40.37155,       233.90163,       40.37148,    303.19840,     +14.72917,     303.20548,      +14.72535,  3714197.68, -1259625.32,  5147950.60,      52.880235,       -1.852944,  107100.19,  163453.94,    5372.23,             5396.93,     0.00,  55115.35,           62422.88,    -11.70,     18.10,          27.20,  +0.66,  -0.41
  3,     UK002Z,       0,  0.122128, 2459439.559474123176, 302.76140,  14.02299,              233.93432,  39.54840,       233.91461,       39.54827,    302.76140,     +14.02299,     302.77545,      +14.01535,  3713377.14, -1260526.69,  5145941.99,      52.872955,       -1.869437,  105204.43,  163261.96,    7721.75,             7746.45,   -50.81,  57790.32,           62422.88,    -23.51,     36.37,          54.71,  +0.22,  -0.84
  4,     UK002Z,       0,  0.162808, 2459439.559474593960, 302.32448,  13.27372,              233.93259,  38.68720,       233.92772,       38.68717,    302.32448,     +13.27372,     302.32854,      +13.27181,  3712520.62, -1261467.60,  5143845.31,      52.865349,       -1.886649,  103225.83,  163097.27,   10174.31,            10199.01,    -0.00,  60289.00,           61289.47,     -5.87,      9.09,          13.69,  -0.02,  -1.08
  5,     UK002Z,       0,  0.203512, 2459439.559475064743, 301.87260,  12.51181,              233.94250,  37.80716,       233.94074,       37.80715,    301.87260,     +12.51181,     301.87468,      +12.51112,  3711646.82, -1262427.49,  5141706.33,      52.857582,       -1.904210,  101207.65,  162967.14,   12676.33,            12701.03,    98.85,  61468.70,           60990.99,     -2.15,      3.33,           5.02,  -0.26,  -1.32
  6,     UK002Z,       0,  0.244148, 2459439.559475535061, 301.47583,  11.80280,              233.92912,  36.99906,       233.95267,       36.99922,    301.47583,     +11.80280,     301.46019,      +11.81217,  3710845.82, -1263307.39,  5139745.59,      52.850456,       -1.920326,   99357.90,  162882.26,   14969.88,            14994.57,    -6.76,  56441.18,           60397.59,     29.00,    -44.92,          67.70,  +0.04,  -1.02
  7,     UK002Z,       0,  0.284756, 2459439.559476005379, 301.07735,  11.15418,              233.95699,  36.24229,       233.96382,       36.24234,    301.07735,     +11.15418,     301.07368,      +11.15692,  3710096.18, -1264130.89,  5137910.53,      52.843781,       -1.935423,   97626.96,  162832.65,   17116.40,            17141.10,  -257.74,  52859.67,           59523.38,      8.49,    -13.14,          19.82,  +0.70,  -0.36

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.