Orbital Analysis for matched events on 20210813_231348.730_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.97° Bg 37.38° Vg 63.76km/s
mass 0.14550g, abs. mag -1.9
Path Details
------------
start 2.07° 54.54° 111.61km
end   1.85° 54.41° 94.32km

Orbit Details
-------------
Semimajor axis -3.33A.U., eccentricity 1.29, inclination 117.31°, Period 1000000000.00Y, LA Sun 141.12°, 

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: 2459440.467925123405
Time: 2021-08-13 23:13:48.730662 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK002K
 Convergence angle = 7.73642 deg
 R.A. =  46.86948  Dec = +62.41405 deg

Best intersection: Stations UK000Z and UK002K with Qconv = 7.74 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2579515.61 +/- 536.73 m
 Y =  -2753681.95 +/- 717.54 m
 Z =   5262931.97 +/- 831.29 m
 Vx =    22426.93 +/- 2150.44 m/s
 Vy =    26471.88 +/- 2809.95 m/s
 Vz =    54629.63 +/- 4543.19 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.693672e+02, +1.843075e+03, +1.871063e+03, -6.763045e+03, -5.807059e+03, -4.855333e+03
+1.843075e+03, +5.966139e+03, +6.056739e+03, -2.189237e+04, -1.879779e+04, -1.571700e+04
+1.871063e+03, +6.056739e+03, +6.148715e+03, -2.222482e+04, -1.908324e+04, -1.595567e+04
-6.763045e+03, -2.189237e+04, -2.222482e+04, +8.033265e+04, +6.897728e+04, +5.767251e+04
-5.807059e+03, -1.879779e+04, -1.908324e+04, +6.897728e+04, +5.922703e+04, +4.952025e+04
-4.855333e+03, -1.571700e+04, -1.595567e+04, +5.767251e+04, +4.952025e+04, +4.140432e+04

Timing offsets (from input data):
    UK000Z: 0.004181 s
    UK002K: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:13:48.730662 UTC
  Lon     = ++2.072432 +/- 0.0134 deg
  Lat     = +54.541058 +/- 0.0054 deg
  Lat geo = +54.362149 +/- 0.0054 deg
  Ht      =  111702.06 +/- 587.99 m

  JD dynamic   = 2459440.468725864310 
  LST apparent = 313.1295553488 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  49.72879 +/- 0.3509 deg
  Dec       = +57.58074 +/- 1.1294 deg
  Azimuth   =  44.60825 +/- 1.0075 deg
  Elevation = +40.68067 +/- 0.8502 deg
  Vavg      =  63.84884 +/- 3.9492 km/s
  Vinit     =  64.71572 +/- 4.5711 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  49.67698 +/- 0.3509 deg
  Dec       = +57.37692 +/- 1.1294 deg
  Azimuth   =  44.83603 +/- 1.0075 deg
  Elevation = +40.56919 +/- 0.8502 deg
  Vavg      =  63.99578 +/- 3.9492 km/s
  Vinit     =  64.86267 +/- 4.5711 km/s
Radiant (geocentric, J2000):
  R.A.   =  49.86340 +/- 0.2833 deg
  Dec    = +57.24734 +/- 1.1032 deg
  Vg     =  63.75752 +/- 4.6374 km/s
  Vinf   =  64.71572 +/- 4.5711 km/s
  Zc     =  49.44681 +/- 0.8480 deg
  Zg     =  49.84034 +/- 0.8016 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.96738 +/- 0.3378 deg
  Bg     = +37.38086 +/- 1.0813 deg
  Vh     =  44.92057 +/- 3.7502 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  79.82557 +/- 3.7492 deg
  Bh     = +59.50817 +/- 3.2727 deg
  Vh_x   =  -4.02635 +/- 2.1884 km/s
  Vh_y   = -22.43495 +/- 3.8637 km/s
  Vh_z   = -38.70812 +/- 1.8345 km/s
Orbit:
  La Sun = 141.118009 +/- -0.0000 deg
  a      =  -3.329221 +/- 1.9832 AU
  e      =   1.288233 +/- 0.3821
  i      = 117.314800 +/- 3.8730 deg
  peri   = 154.989145 +/- 3.5396 deg
  node   = 141.116576 +/- 0.0003 deg
  Pi     = 296.105721 +/- 3.5393 deg
  q      =   0.959592 +/- 0.0084 AU
  f      =  25.006684 +/- 3.5398 deg
  M      =        nan +/- nan deg
  Q      =  -7.618034 +/- 3.9690 AU
  n      =   0.162252 +/- 0.3920 deg/day
  T      = 1000000000.000000 +/- 253395488.7157 years
  Last perihelion JD = NaN 
  Tj     =  -2.159340 +/- 2.1833
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.902741e-04, +3.906305e-05, +1.075305e-02, -1.183861e-08, +2.268567e-04, +1.630661e-04
q   , +3.906305e-05, +5.256830e-06, +1.447069e-03, -1.593157e-09, +3.052878e-05, +2.194429e-05
Tp  , +1.075305e-02, +1.447069e-03, +3.983408e-01, -4.385551e-07, +8.403783e-03, +6.040695e-03
node, -1.183861e-08, -1.593157e-09, -4.385551e-07, +4.828291e-13, -9.252182e-09, -6.650530e-09
peri, +2.268567e-04, +3.052878e-05, +8.403783e-03, -9.252182e-09, +1.772943e-04, +1.274404e-04
i   , +1.630661e-04, +2.194429e-05, +6.040695e-03, -6.650530e-09, +1.274404e-04, +9.160498e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.525351
 a2 = 15.828423

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 2.615e-06 s
  Stddev    = 1.62e-03 s

Begin point on the trajectory:
  Lon =     2.071263 +/- 0.0142 deg
  Lat =    54.540369 +/- 0.0058 deg
  Ht  = 111607.87 +/- 643.73 m
End point on the trajectory:
  Lon =     1.854726 +/- 0.0103 deg
  Lat =    54.413157 +/- 0.0035 deg
  Ht  = 94315.34 +/- 346.52 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
    UK000Z,   False,    -1.740490,    53.069201,  230.00,   0.042264,  22.112781,   110853.35,    94315.34,          0.009100,      6.02,     47.97,              22.82, 1.0000,    True,    True, {"ff_name": "FF_UK000Z_20210813_231348_549_0265472.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   3.458192,  10.859805,   111607.87,    94780.04,          0.020064,     21.15,     71.40,              14.31, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_231343_035_0270336.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,     UK000Z,       0,  0.013656, 2459440.467925233301,  56.15301,  35.49133,               55.41265,  18.80798,        55.40457,       18.80385,     56.15301,     +35.49133,      56.16360,      +35.49269,  2579064.37, -2754214.57,  5261832.80,      54.534850,       +2.061862,  110853.35,  321106.70,       0.00,             1302.11,   135.37,      0.00,           66046.58,     48.33,      6.08,          31.29,  +3.50,  +0.97
  1,     UK000Z,       0,  0.053780, 2459440.467925697565,  56.20380,  35.35664,               55.46429,  18.67583,        55.47399,       18.68079,     56.20380,     +35.35664,      56.19137,      +35.35500,  2578355.37, -2755051.45,  5260105.76,      54.525091,       +2.045151,  109520.13,  319208.76,    2045.90,             3348.01,  -415.38,  50989.46,           66046.58,    -57.72,     -7.22,          37.59,  +2.33,  -0.19
  2,     UK000Z,       0,  0.093952, 2459440.467926162761,  56.22687,  35.14510,               55.58386,  18.49622,        55.57951,       18.49400,     56.22687,     +35.14510,      56.23290,      +35.14584,  2577297.03, -2756300.67,  5257527.75,      54.510511,       +2.020289,  107530.68,  316383.55,    5099.88,             6401.98,    38.84,  76022.50,           66046.58,     25.66,      3.22,          16.86,  +1.62,  -0.88
  3,     UK000Z,       0,  0.134116, 2459440.467926627491,  56.27532,  34.95702,               55.67069,  18.32255,        55.67485,       18.32468,     56.27532,     +34.95702,      56.27046,      +34.95632,  2576353.62, -2757414.24,  5255229.70,      54.497503,       +1.998112,  105757.94,  313867.89,    7822.21,             9124.32,   161.93,  67780.50,           66046.58,    -24.40,     -3.06,          16.16,  +1.35,  -1.13
  4,     UK000Z,       0,  0.174264, 2459440.467927092221,  56.29978,  34.77788,               55.76800,  18.16778,        55.76407,       18.16577,     56.29978,     +34.77788,      56.30559,      +34.77854,  2575481.79, -2758443.31,  5253106.01,      54.485472,       +1.977606,  104120.28,  311545.61,   10337.99,            11640.10,    79.50,  62662.54,           65875.78,     22.90,      2.88,          15.28,  +1.23,  -1.24
  5,     UK000Z,       0,  0.214416, 2459440.467927556951,  56.34357,  34.60340,               55.84878,  18.00703,        55.85206,       18.00870,     56.34357,     +34.60340,      56.34019,      +34.60285,  2574632.71, -2759445.54,  5251037.74,      54.473746,       +1.957632,  102525.87,  309286.69,   12788.12,            14090.23,   -68.84,  61021.37,           65133.55,    -18.97,     -2.38,          12.75,  +1.18,  -1.27
  6,     UK000Z,       0,  0.254580, 2459440.467928021681,  56.37859,  34.40904,               55.94792,  17.83466,        55.94908,       17.83525,     56.37859,     +34.40904,      56.37814,      +34.40884,  2573709.80, -2760534.90,  5248789.64,      54.460990,       +1.935939,  100793.42,  306835.58,   15451.28,            16753.38,    -4.92,  66307.09,           64994.22,     -6.64,     -0.83,           4.50,  +1.14,  -1.29
  7,     UK000Z,       0,  0.294732, 2459440.467928486411,  56.41767,  34.23057,               56.03390,  17.67283,        56.03838,       17.67512,     56.41767,     +34.23057,      56.41310,      +34.22982,  2572870.60, -2761525.46,  5246745.43,      54.449382,       +1.916199,   99218.63,  304609.14,   17872.90,            19175.01,  -181.76,  60311.44,           64545.97,    -25.55,     -3.20,          17.44,  +1.08,  -1.34
  8,     UK000Z,       0,  0.334904, 2459440.467928951606,  56.45508,  34.02770,               56.13616,  17.49225,        56.13934,       17.49387,     56.45508,     +34.02770,      56.45237,      +34.02717,  2571935.88, -2762628.77,  5244468.54,      54.436441,       +1.894233,   97465.19,  302133.93,   20570.16,            21872.27,   -84.26,  67142.83,           64509.99,    -17.99,     -2.25,          12.38,  +0.96,  -1.44
  9,     UK000Z,       0,  0.375072, 2459440.467929416336,  56.50853,  33.83101,               56.22305,  17.30845,        56.23809,       17.31611,     56.50853,     +33.83101,      56.49072,      +33.82849,  2571033.95, -2763693.37,  5242271.55,      54.423945,       +1.873034,   95773.88,  299749.00,   23172.78,            24474.88,   -81.15,  64793.17,           64507.12,    -84.50,    -10.54,          58.59,  +1.15,  -1.23
 10,     UK000Z,       0,  0.415212, 2459440.467929881066,  56.50027,  33.65182,               56.34155,  17.16937,        56.32424,       17.16053,     56.50027,     +33.65182,      56.52425,      +33.65470,  2570255.92, -2764611.73,  5240376.34,      54.413157,       +1.854726,   94315.34,  297693.43,   25417.90,            26720.01,  -433.71,  55932.40,           64115.97,     96.70,     12.17,          67.53,  +1.22,  -1.15
  0,     UK002K,       0,  0.000000, 2459440.467925123405,  50.85135,  43.61458,               54.25924,  28.60377,        54.24619,       28.59440,     50.85135,     +43.61458,      50.87178,      +43.61522,  2579465.54, -2753741.05,  5262810.00,      54.540369,       +2.071263,  111607.87,  226740.70,       0.00,              144.50,  -138.49,      0.00,           66534.18,     56.18,     16.64,          53.30,  +1.64,  -0.14
  1,     UK002K,       0,  0.040144, 2459440.467925588135,  50.89742,  43.45690,               54.35037,  28.46389,        54.36018,       28.47091,     50.89742,     +43.45690,      50.88228,      +43.45640,  2578562.59, -2754806.86,  5260610.51,      54.527943,       +2.050025,  109909.75,  224205.29,    2605.57,             2750.06,  -130.87,  64905.48,           66534.18,    -41.75,    -12.28,          40.03,  +1.39,  -0.36
  2,     UK002K,       0,  0.080296, 2459440.467926052865,  50.92624,  43.28705,               54.46094,  28.32308,        54.48223,       28.33828,     50.92624,     +43.28705,      50.89346,      +43.28595,  2577616.22, -2755923.91,  5258305.26,      54.514910,       +2.027776,  108130.60,  221550.23,    5336.43,             5480.92,     1.53,  68013.08,           66534.18,    -89.54,    -26.26,          86.87,  +1.15,  -0.58
  3,     UK002K,       0,  0.120444, 2459440.467926517595,  50.87395,  43.11524,               54.62285,  28.21993,        54.60349,       28.20606,     50.87395,     +43.11524,      50.90454,      +43.11618,  2576695.31, -2757010.93,  5256062.01,      54.502216,       +2.006123,  106399.92,  218968.28,    7993.85,             8138.34,    60.74,  66190.57,           66534.18,     80.56,     23.89,          79.16,  +0.93,  -0.77
  4,     UK002K,       0,  0.160588, 2459440.467926981859,  50.90931,  42.95588,               54.72080,  28.08354,        54.71756,       28.08122,     50.90931,     +42.95588,      50.91501,      +42.95604,  2575845.36, -2758014.17,  5253991.64,      54.490490,       +1.986127,  104803.15,  216586.45,   10446.46,            10590.96,   -84.59,  61095.41,           65461.48,     13.37,      3.95,          13.27,  +0.89,  -0.79
  5,     UK002K,       0,  0.200744, 2459440.467927447055,  50.89255,  42.78031,               54.86299,  27.96016,        54.84172,       27.94493,     50.89255,     +42.78031,      50.92631,      +42.78133,  2574939.56, -2759083.34,  5251785.20,      54.477985,       +1.964829,  103102.02,  214050.49,   13060.27,            13204.76,   -69.51,  65091.29,           65102.08,     86.61,     25.69,          87.05,  +0.76,  -0.89
  6,     UK002K,       0,  0.240904, 2459440.467927911784,  50.92334,  42.59816,               54.98014,  27.80861,        54.97127,       27.80227,     50.92334,     +42.59816,      50.93804,      +42.59859,  2574014.76, -2760174.94,  5249532.47,      54.465206,       +1.943091,  101365.80,  211463.61,   15728.91,            15873.41,     0.15,  66450.28,           65118.22,     35.71,     10.55,          36.32,  +0.68,  -0.95
  7,     UK002K,       0,  0.281068, 2459440.467928376514,  50.91749,  42.41437,               55.12102,  27.67351,        55.10082,       27.65908,     50.91749,     +42.41437,      50.94976,      +42.41534,  2573109.32, -2761243.68,  5247326.93,      54.452685,       +1.921806,   99666.55,  208932.88,   18341.65,            18486.15,    13.65,  65051.82,           65119.41,     80.34,     23.81,          82.73,  +0.71,  -0.89
  8,     UK002K,       0,  0.321224, 2459440.467928841244,  50.90665,  42.23858,               55.25873,  27.54674,        55.22429,       27.52210,     50.90665,     +42.23858,      50.96095,      +42.24020,  2572263.39, -2762242.19,  5245266.34,      54.440977,       +1.901910,   98079.50,  206569.91,   20782.69,            20927.18,  -144.04,  60788.86,           64831.23,    135.60,     40.33,         141.26,  +0.59,  -0.99
  9,     UK002K,       0,  0.361392, 2459440.467929305974,  50.96347,  42.05289,               55.36095,  27.37931,        55.35585,       27.37568,     50.96347,     +42.05289,      50.97280,      +42.05314,  2571381.12, -2763283.59,  5243117.22,      54.428756,       +1.881169,   96424.82,  204107.87,   23328.59,            23473.09,  -197.64,  63381.43,           64605.41,     19.84,      5.86,          20.91,  +0.52,  -1.03
 10,     UK002K,       0,  0.401560, 2459440.467929771170,  50.96331,  41.86199,               55.50243,  27.23565,        55.48947,       27.22642,     50.96331,     +41.86199,      50.98480,      +41.86262,  2570503.83, -2764319.10,  5240980.23,      54.416595,       +1.860546,   94780.04,  201661.89,   25860.12,            26004.62,  -265.61,  63023.53,           64410.31,     49.84,     14.73,          53.15,  +1.86,  +0.34

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.