Orbital Analysis for matched events on 20210813_224418.783_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 67.33° Bg 38.26° Vg 58.05km/s
mass 0.01119g, abs. mag -0.1
Path Details
------------
start -0.87° 55.39° 112.91km
end   -1.06° 55.24° 97.10km

Orbit Details
-------------
Semimajor axis 8.96A.U., eccentricity 0.90, inclination 111.78°, Period 26.84Y, LA Sun 141.10°, last Perihelion 2021-07-18

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: 2459440.447439623997
Time: 2021-08-13 22:44:18.783513 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000P and UK000Y
 Convergence angle = 12.24914 deg
 R.A. =  54.07374  Dec = +59.25045 deg
Intersection 2 - Stations: UK000P and UK002X
 Convergence angle = 0.11571 deg
 R.A. =  21.38805  Dec = +40.33709 deg
Intersection 3 - Stations: UK000Y and UK002X
 Convergence angle = 12.35158 deg
 R.A. =  53.59964  Dec = +59.18031 deg

Best intersection: Stations UK000Y and UK002X with Qconv = 12.35 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2001175.84 +/- 1085.28 m
 Y =  -3105967.86 +/- 407.66 m
 Z =   5319262.49 +/- 960.35 m
 Vx =    17746.96 +/- 3272.86 m/s
 Vy =    24333.72 +/- 2235.64 m/s
 Vz =    50845.87 +/- 4290.08 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.331933e+05, +1.294715e+05, +2.950017e+05, +7.823027e+05, +3.779929e+05, +8.114135e+05
+1.294715e+05, +5.057958e+04, +1.148520e+05, +3.042240e+05, +1.468581e+05, +3.146643e+05
+2.950017e+05, +1.148520e+05, +2.622439e+05, +7.006334e+05, +3.352651e+05, +7.248976e+05
+7.823027e+05, +3.042240e+05, +7.006334e+05, +2.432508e+06, +1.021291e+06, +2.318080e+06
+3.779929e+05, +1.468581e+05, +3.352651e+05, +1.021291e+06, +4.674276e+05, +1.021176e+06
+8.114135e+05, +3.146643e+05, +7.248976e+05, +2.318080e+06, +1.021176e+06, +2.300786e+06

Timing offsets (from input data):
    UK000P: 0.000000 s
    UK000Y: 0.020525 s
    UK002X: -0.000015 s

Reference point on the trajectory:
  Time: 2021-08-13 22:44:18.783513 UTC
  Lon     = +-0.868460 +/- 0.0176 deg
  Lat     = +55.392647 +/- 0.0030 deg
  Lat geo = +55.215673 +/- 0.0031 deg
  Ht      =  112858.87 +/- 929.90 m

  JD dynamic   = 2459440.448240364902 
  LST apparent = 302.7936930853 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  53.89616 +/- 3.3759 deg
  Dec       = +59.36021 +/- 1.0177 deg
  Azimuth   =  36.62270 +/- 2.4981 deg
  Elevation = +37.15273 +/- 0.4680 deg
  Vavg      =  57.14677 +/- 1.4051 km/s
  Vinit     =  59.09642 +/- 4.3506 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  53.71315 +/- 3.3759 deg
  Dec       = +59.15085 +/- 1.0177 deg
  Azimuth   =  36.88485 +/- 2.4981 deg
  Elevation = +37.05853 +/- 0.4680 deg
  Vavg      =  57.27535 +/- 1.4051 km/s
  Vinit     =  59.22500 +/- 4.3506 km/s
Radiant (geocentric, J2000):
  R.A.   =  54.11943 +/- 3.4480 deg
  Dec    = +58.90640 +/- 0.9674 deg
  Vg     =  58.04568 +/- 4.4226 km/s
  Vinf   =  59.09642 +/- 4.3506 km/s
  Zc     =  52.98938 +/- 0.4726 deg
  Zg     =  53.50173 +/- 0.5364 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.32625 +/- 2.5673 deg
  Bg     = +38.26047 +/- 0.3651 deg
  Vh     =  40.64993 +/- 3.5173 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  91.95384 +/- 9.0516 deg
  Bh     = +62.15826 +/- 1.6805 deg
  Vh_x   =   0.64727 +/- 3.4358 km/s
  Vh_y   = -18.97374 +/- 2.5414 km/s
  Vh_z   = -35.94433 +/- 2.4618 km/s
Orbit:
  La Sun = 141.098334 +/- -0.0000 deg
  a      =   8.963565 +/- 10.8642 AU
  e      =   0.898127 +/- 0.3255
  i      = 111.775779 +/- 3.7864 deg
  peri   = 142.327908 +/- 10.4649 deg
  node   = 141.097081 +/- 0.0003 deg
  Pi     = 283.424989 +/- 10.4646 deg
  q      =   0.913145 +/- 0.0383 AU
  f      =  37.668025 +/- 10.4650 deg
  M      =   0.954150 +/- nan deg
  Q      =  17.013985 +/- 21.7382 AU
  n      =   0.036727 +/- 0.2062 deg/day
  T      =  26.836250 +/- 499702627.1795 years
  Last perihelion JD = 2459414.468554 (2021-07-18 23:14:43.027853) +/- 5.2584 days
  Tj     =   0.152421 +/- 1.9095
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.297130e-02, +3.093523e-03, +5.823632e-01, -3.209131e-07, +1.392700e-02, +4.305369e-03
q   , +3.093523e-03, +7.936020e-04, +1.460745e-01, -8.004234e-08, +3.529564e-03, +1.075714e-03
Tp  , +5.823632e-01, +1.460745e-01, +2.707545e+01, -1.486366e-05, +6.521245e-01, +1.996576e-01
node, -3.209131e-07, -8.004234e-08, -1.486366e-05, +8.223641e-12, -3.576862e-07, -1.104315e-07
peri, +1.392700e-02, +3.529564e-03, +6.521245e-01, -3.576862e-07, +1.572994e-02, +4.805835e-03
i   , +4.305369e-03, +1.075714e-03, +1.996576e-01, -1.104315e-07, +4.805835e-03, +1.483065e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 83.015711
 a2 = -0.629861

Mean time residuals from time vs. length:
  Station with reference time: UK000P
  Avg. res. = 1.898e-05 s
  Stddev    = 4.36e-03 s

Begin point on the trajectory:
  Lon =    -0.867870 +/- 0.0175 deg
  Lat =    55.393099 +/- 0.0030 deg
  Ht  = 112907.20 +/- 926.98 m
End point on the trajectory:
  Lon =    -1.062714 +/- 0.0014 deg
  Lat =    55.244515 +/- 0.0059 deg
  Ht  = 97100.06 +/- 324.68 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
    UK000P,   False,    -3.059440,    54.994170,   18.00,   1.323967,  19.387867,   112907.20,   101852.66,          0.007581,     21.85,      8.02,              26.71, 0.2021,    True,    True, {"ff_name": "FF_UK000P_20210813_224414_103_0196352.fits"}
    UK000Y,   False,    -1.740490,    53.069201,  230.00,  37.796447,   0.000000,   105840.34,    97100.06,          0.023018,    109.31,     14.30,              26.37, 0.1972,    True,    True, {"ff_name": "FF_UK000Y_20210813_224417_346_0221184.fits"}
    UK002X,   False,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,   110759.60,   104224.19,          0.022008,     63.92,     23.52,              26.71, 0.2021,    True,    True, {"ff_name": "FF_UK002X_20210813_224412_345_0004096.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,     UK000P,       0,  0.000000, 2459440.447439623997,  20.58524,  39.50048,               71.45176,  36.72756,        71.45058,       36.72204,     20.58524,     +39.50048,      20.59114,      +39.49723,  2001199.87, -3105934.91,  5319331.35,      55.393099,       -0.867870,  112907.20,  185934.44,       0.00,               80.03,   204.75,      0.00,           59103.90,      6.26,     17.04,          20.14,  +2.03,  +0.68
  1,     UK000P,       0,  0.039980, 2459440.447440086864,  20.33738,  39.21096,               71.87572,  36.65697,        71.87734,       36.66437,     20.33738,     +39.21096,      20.32964,      +39.21529,  2000504.01, -3106889.03,  5317337.69,      55.380013,       -0.885119,  111507.98,  183900.04,    2317.16,             2237.14,    -0.82,  57958.07,           59103.90,     -8.31,    -22.63,          27.04,  +2.27,  +0.95
  2,     UK000P,       0,  0.079948, 2459440.447440549266,  20.06471,  38.92915,               72.31020,  36.60543,        72.30994,       36.60427,     20.06471,     +38.92915,      20.06628,      +38.92848,  1999812.92, -3107836.62,  5315357.68,      55.367009,       -0.902248,  110118.84,  181886.33,    4618.46,             4538.43,   -61.49,  57578.41,           59103.90,      1.29,      3.50,           4.23,  +2.00,  +0.70
  3,     UK000P,       0,  0.119912, 2459440.447441011667,  19.77008,  38.61386,               72.78951,  36.54210,        72.78804,       36.53576,     19.77008,     +38.61386,      19.77734,      +38.61017,  1999065.42, -3108861.55,  5313216.05,      55.352934,       -0.920757,  108616.88,  179716.83,    7107.60,             7027.57,    65.93,  62284.63,           59103.90,      6.96,     18.98,          23.20,  +1.66,  +0.39
  4,     UK000P,       0,  0.159888, 2459440.447441474535,  19.51976,  38.32394,               73.21621,  36.47258,        73.21629,       36.47291,     19.51976,     +38.32394,      19.52007,      +38.32413,  1998409.50, -3109760.93,  5311336.79,      55.340576,       -0.937015,  107299.40,  177819.10,    9291.80,             9211.77,  -112.31,  54637.78,           58477.74,     -0.36,     -0.98,           1.22,  +1.43,  +0.18
  5,     UK000P,       0,  0.199864, 2459440.447441937402,  19.23423,  37.98563,               73.70973,  36.38778,        73.71217,       36.39783,     19.23423,     +37.98563,      19.22438,      +37.99145,  1997665.96, -3110780.43,  5309206.52,      55.326558,       -0.955418,  105806.51,  175677.19,   11767.74,            11687.72,     1.19,  61935.76,           58792.91,    -10.82,    -29.46,          36.85,  +2.10,  +0.88
  6,     UK000P,       0,  0.239836, 2459440.447442399804,  18.99176,  37.71080,               74.11818,  36.32463,        74.12068,       36.33469,     18.99176,     +37.71080,      18.98207,      +37.71660,  1997065.36, -3111603.93,  5307485.80,      55.315229,       -0.970312,  104601.03,  173952.05,   13767.68,            13687.66,  -361.07,  50033.54,           57966.95,    -10.73,    -29.23,          36.92,  +1.40,  +0.20
  7,     UK000P,       0,  0.279808, 2459440.447442862671,  18.69765,  37.36860,               74.62148,  36.24164,        74.62472,       36.25432,     18.69765,     +37.36860,      18.68535,      +37.37589,  1996339.35, -3112599.41,  5305405.72,      55.301525,       -0.988278,  103144.34,  171876.47,   16185.28,            16105.25,  -305.67,  60482.25,           57832.41,    -13.39,    -36.47,          46.62,  +1.82,  +0.64
  8,     UK000P,       0,  0.319764, 2459440.447443325073,  18.41390,  37.06798,               75.08182,  36.18271,        75.08106,       36.17981,     18.41390,     +37.06798,      18.41831,      +37.06632,  1995695.35, -3113482.43,  5303560.63,      55.289362,       -1.004229,  101852.66,  170042.10,   18329.77,            18249.74,  -522.44,  53671.25,           57492.35,      3.03,      8.26,          10.67,  +1.68,  +0.53
  9,     UK000P,       1,  0.359792, 2459440.447443788406,  18.29578,  36.82406,               75.37557,  36.07263,        75.39054,       36.12887,     18.29578,     +36.82406,      18.23765,      +36.85619,  1995265.22, -3114072.20,  5302328.29,      55.281235,       -1.014937,  100990.14,  168818.24,   19762.08,            19682.05, -1455.64,  35782.71,           56133.21,    -58.65,   -159.03,         207.10,  +5.44,  +4.30
  0,     UK000Y,       0,  0.193351, 2459440.447441616561, 102.57202,  56.88767,               11.18613,  21.09119,        11.21339,       21.05919,    102.57202,     +56.88767,     102.53976,      +56.85098,  1997682.80, -3110757.33,  5309254.79,      55.326876,       -0.954889,  105840.34,  279314.26,       0.00,            11631.62,   329.98,      0.00,           55283.13,     25.91,    197.60,         147.17,  +4.05,  +1.82
  1,     UK000Y,       0,  0.233467, 2459440.447442080826, 102.73010,  56.78365,               11.11927,  20.97116,        11.10891,       20.98327,    102.73010,     +56.78365,     102.74358,      +56.79753,  1997265.91, -3111328.96,  5308060.36,      55.319012,       -0.965280,  105003.50,  278057.18,    1388.24,            13019.86,  -652.49,  34605.57,           55283.13,     -9.61,    -74.59,          55.79,  +2.91,  +0.69
  2,     UK000Y,       0,  0.273615, 2459440.447442545556, 103.11571,  56.70766,               10.91496,  20.85258,        10.92134,       20.84513,    103.11571,     +56.70766,     103.10896,      +56.69913,  1996518.52, -3112353.74,  5305919.06,      55.304908,       -0.983771,  103503.77,  275808.43,    3877.00,            15508.62,  -536.33,  61989.82,           55283.13,      5.92,     45.57,          34.36,  +1.90,  -0.30
  3,     UK000Y,       0,  0.313795, 2459440.447443010751, 103.51368,  56.59674,               10.71027,  20.69916,        10.71562,       20.69293,    103.51368,     +56.59674,     103.50830,      +56.58962,  1995710.27, -3113461.96,  5303603.39,      55.289644,       -1.003750,  101882.60,  273381.52,    6568.42,            18200.04,  -219.41,  66984.02,           55283.13,      4.91,     37.82,          28.77,  +1.35,  -0.83
  4,     UK000Y,       0,  0.353951, 2459440.447443475481, 103.90800,  56.50924,               10.50152,  20.56983,        10.52024,       20.54800,    103.90800,     +56.50924,     103.88613,      +56.48436,  1994954.84, -3114497.78,  5301439.03,      55.275368,       -1.022429,  100367.98,  271117.65,    9083.99,            20715.61,   -76.91,  62644.89,           58149.92,     17.18,    131.35,         100.78,  +0.84,  -1.33
  5,     UK000Y,       0,  0.394143, 2459440.447443940677, 104.30333,  56.37853,               10.30017,  20.39878,        10.30790,       20.38979,    104.30333,     +56.37853,     104.29520,      +56.36830,  1994145.65, -3115607.30,  5299120.67,      55.260066,       -1.042420,   98746.27,  268697.92,   11778.54,            23410.16,   242.44,  67042.00,           60240.37,      6.99,     53.70,          41.57,  +0.69,  -1.46
  6,     UK000Y,       0,  0.434327, 2459440.447444405872, 104.73658,  56.27065,               10.07079,  20.24686,        10.08881,       20.22591,    104.73658,     +56.27065,     104.71555,      +56.24686,  1993323.88, -3116734.07,  5296766.25,      55.244515,       -1.062714,   97100.06,  266246.10,   14515.00,            26146.61,   604.16,  68098.09,           61829.07,     16.24,    124.09,          96.95,  +1.27,  -0.86
  0,     UK002X,       0,  0.052239, 2459440.447440228891,  20.16865,  39.07188,               72.11361,  36.65018,        72.10955,       36.63189,     20.16865,     +39.07188,      20.18841,      +39.06116,  2000131.73, -3107399.49,  5316271.07,      55.373009,       -0.894308,  110759.60,  182816.30,       0.00,             3476.83,   514.40,      0.00,           54671.59,     20.39,     55.64,          66.86,  +4.93,  +3.62
  1,     UK002X,       0,  0.092391, 2459440.447440693621,  20.06566,  38.87905,               72.35338,  36.56925,        72.35981,       36.59760,     20.06566,     +38.87905,      20.03574,      +38.89561,  1999733.81, -3107945.10,  5315131.00,      55.365519,       -0.904242,  109959.83,  181654.62,    1325.06,             4801.89,  -533.37,  33001.18,           54671.59,    -31.57,    -85.73,         103.74,  +3.42,  +2.12
  2,     UK002X,       0,  0.132643, 2459440.447441159282,  19.73374,  38.54009,               72.87908,  36.50942,        72.88208,       36.52228,     19.73374,     +38.54009,      19.72056,      +38.54758,  1998920.12, -3109060.79,  5312799.75,      55.350197,       -0.924375,  108324.98,  179295.06,    4034.61,             7511.43,  -202.58,  67314.48,           54671.59,    -14.13,    -38.46,          47.13,  +1.86,  +0.59
  3,     UK002X,       0,  0.172871, 2459440.447441624943,  19.43973,  38.23109,               73.35280,  36.45023,        73.35334,       36.45247,     19.43973,     +38.23109,      19.43807,      +38.23239,  1998202.27, -3110045.07,  5310743.08,      55.336670,       -0.942152,  106883.26,  177220.87,    6425.00,             9901.83,  -189.51,  59421.20,           54671.59,     -2.42,     -6.61,           8.19,  +1.89,  +0.65
  4,     UK002X,       0,  0.213151, 2459440.447442091070,  19.08836,  37.85073,               73.92905,  36.37160,        73.92728,       36.36439,     19.08836,     +37.85073,      19.09691,      +37.84657,  1997348.66, -3111215.49,  5308297.46,      55.320573,       -0.963254,  105169.62,  174766.68,    9267.46,            12744.29,   272.54,  70567.58,           58752.25,      7.71,     21.03,          26.43,  +1.18,  -0.03
  5,     UK002X,       0,  0.253343, 2459440.447442556266,  18.94498,  37.60763,               74.24037,  36.27649,        74.24991,       36.31446,     18.94498,     +37.60763,      18.90567,      +37.62950,  1996877.58, -3111861.41,  5306947.78,      55.311685,       -0.974973,  104224.19,  173413.67,   10836.15,            14312.98,  -533.98,  39029.74,           57102.00,    -40.52,   -110.00,         139.44,  +2.68,  +1.48

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.