Orbital Analysis for matched events on 20210816_013819.150_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 65.93° Bg 38.50° Vg 59.28km/s
mass 0.01895g, abs. mag -0.4
Path Details
------------
start 1.34° 52.27° 104.64km
end   1.27° 52.24° 94.94km

Orbit Details
-------------
Semimajor axis 21.93A.U., eccentricity 0.96, inclination 113.23°, Period 102.66Y, LA Sun 143.14°, last Perihelion 2021-07-27

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: 2459442.568277205806
Time: 2021-08-16 01:38:19.165830 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK0032
 Convergence angle = 64.11298 deg
 R.A. =  52.76806  Dec = +59.21933 deg

Best intersection: Stations UK002F and UK0032 with Qconv = 64.11 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3922025.86 +/- 94.28 m
 Y =   -648669.67 +/- 42.67 m
 Z =   5105762.12 +/- 31.36 m
 Vx =    19222.71 +/- 633.55 m/s
 Vy =    24453.08 +/- 274.95 m/s
 Vz =    51676.29 +/- 547.35 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.341168e+03, +3.885464e+03, +2.859952e+03, +5.599858e+04, +1.947799e+04, +6.060573e+03
+3.885464e+03, +1.934247e+03, +1.271271e+03, +2.417966e+04, +9.968421e+03, +3.516565e+03
+2.859952e+03, +1.271271e+03, +1.036480e+03, +1.635310e+04, +5.601869e+03, +1.766693e+03
+5.599858e+04, +2.417966e+04, +1.635310e+04, +4.032301e+05, +1.604257e+05, +5.411459e+04
+1.947799e+04, +9.968421e+03, +5.601869e+03, +1.604257e+05, +7.686006e+04, +2.886376e+04
+6.060573e+03, +3.516565e+03, +1.766693e+03, +5.411459e+04, +2.886376e+04, +1.151437e+04

Timing offsets (from input data):
    UK002F: 0.000019 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 01:38:19.165830 UTC
  Lon     = ++1.354639 +/- 0.0008 deg
  Lat     = +52.279303 +/- 0.0005 deg
  Lat geo = +52.095956 +/- 0.0005 deg
  Ht      =  106003.84 +/- 76.41 m

  JD dynamic   = 2459442.569078123197 
  LST apparent = 350.6087805310 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  51.82890 +/- 0.6697 deg
  Dec       = +58.95614 +/- 0.4334 deg
  Azimuth   =  54.04956 +/- 0.8987 deg
  Elevation = +56.05866 +/- 0.2152 deg
  Vavg      =  58.52701 +/- 0.3804 km/s
  Vinit     =  60.31505 +/- 0.3704 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  52.08390 +/- 0.6697 deg
  Dec       = +58.74955 +/- 0.4334 deg
  Azimuth   =  54.33710 +/- 0.8987 deg
  Elevation = +55.87379 +/- 0.2152 deg
  Vavg      =  58.65859 +/- 0.3804 km/s
  Vinit     =  60.44663 +/- 0.3704 km/s
Radiant (geocentric, J2000):
  R.A.   =  51.95682 +/- 0.6840 deg
  Dec    = +58.79825 +/- 0.4339 deg
  Vg     =  59.28499 +/- 0.3770 km/s
  Vinf   =  60.31505 +/- 0.3704 km/s
  Zc     =  34.04926 +/- 0.2173 deg
  Zg     =  34.35146 +/- 0.2226 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  65.92530 +/- 0.5916 deg
  Bg     = +38.49874 +/- 0.3118 deg
  Vh     =  41.37163 +/- 0.1289 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  85.24265 +/- 1.9332 deg
  Bh     = +63.12970 +/- 0.3819 deg
  Vh_x   =  -1.55081 +/- 0.6175 km/s
  Vh_y   = -18.63442 +/- 0.2867 km/s
  Vh_z   = -36.90482 +/- 0.0225 km/s
Orbit:
  La Sun = 143.135827 +/- nan deg
  a      =  21.925186 +/- 2.8328 AU
  e      =   0.956538 +/- 0.0110
  i      = 113.228277 +/- 0.7887 deg
  peri   = 151.559128 +/- 1.2575 deg
  node   = 143.135717 +/- 0.0001 deg
  Pi     = 294.694845 +/- 1.2574 deg
  q      =   0.952923 +/- 0.0051 AU
  f      =  28.437250 +/- 1.2575 deg
  M      =   0.191928 +/- 0.1123 deg
  Q      =  42.897449 +/- 5.6618 AU
  n      =   0.009600 +/- 0.0046 deg/day
  T      = 102.663381 +/- 17.0970 years
  Last perihelion JD = 2459422.577417 (2021-07-27 01:51:28.870740) +/- 0.8378 days
  Tj     =  -0.234758 +/- 0.0785
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.301907e-04, +4.622149e-05, +8.150203e-03, -9.922616e-09, +2.059264e-04, +1.472664e-04
q   , +4.622149e-05, +2.775024e-05, +4.516167e-03, -4.855211e-09, +1.186669e-04, +7.212332e-05
Tp  , +8.150203e-03, +4.516167e-03, +7.426607e-01, -8.121368e-07, +1.941562e-02, +1.206143e-02
node, -9.922616e-09, -4.855211e-09, -8.121368e-07, +9.137274e-13, -2.105457e-08, -1.356633e-08
peri, +2.059264e-04, +1.186669e-04, +1.941562e-02, -2.105457e-08, +5.088567e-04, +3.127153e-04
i   , +1.472664e-04, +7.212332e-05, +1.206143e-02, -1.356633e-08, +3.127153e-04, +2.014318e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.002010
 a2 = 55.639951

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 2.758e-06 s
  Stddev    = 1.66e-03 s

Begin point on the trajectory:
  Lon =     1.343891 +/- 0.0006 deg
  Lat =    52.274521 +/- 0.0004 deg
  Ht  = 104635.32 +/- 46.74 m
End point on the trajectory:
  Lon =     1.266788 +/- 0.0006 deg
  Lat =    52.240535 +/- 0.0004 deg
  Ht  = 94936.51 +/- 45.84 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
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   104635.32,    94936.51,          0.023507,     30.75,     81.06,              31.04, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210816_013814_030_0495104.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.016438,  46.649688,   103711.60,    95856.79,          0.004951,      9.43,      9.71,              50.77, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210816_013811_919_0499712.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,     UK002F,       0,  0.024825, 2459442.568277382292,  70.13025,  30.55305,               75.43827,  28.17977,        75.47575,       28.19559,     70.13025,     +30.55305,      70.08988,      +30.54153,  3921500.10,  -649338.47,  5104348.74,      52.274521,       +1.343891,  104635.32,  215409.67,       0.00,             1649.65,  -142.13,      0.00,           60595.74,   -128.70,     48.98,         131.86,  +2.63,  +0.96
  1,     UK002F,       0,  0.065061, 2459442.568277847953,  70.23289,  30.21185,               75.63375,  27.87239,        75.64803,       27.87842,     70.23289,     +30.21185,      70.21768,      +30.20747,  3920686.33,  -650373.67,  5102161.07,      52.267114,       +1.327083,  102517.33,  213215.15,    2553.39,             4203.04,   -15.58,  63460.25,           60595.74,    -48.67,     18.48,          50.36,  +2.04,  +0.40
  2,     UK002F,       0,  0.105289, 2459442.568278313614,  70.32041,  29.86508,               75.84260,  27.56938,        75.81996,       27.55981,     70.32041,     +29.86508,      70.34512,      +29.87199,  3919885.81,  -651392.00,  5100009.06,      52.259821,       +1.310540,  100434.16,  211064.23,    5065.15,             6714.81,    69.84,  62438.27,           60595.74,     76.61,    -28.98,          80.04,  +1.64,  +0.02
  3,     UK002F,       0,  0.145521, 2459442.568278779276,  70.45289,  29.56761,               75.97972,  27.27458,        75.97419,       27.27225,     70.45289,     +29.56761,      70.45933,      +29.56930,  3919177.08,  -652293.58,  5098103.77,      52.253358,       +1.295871,   98590.05,  209165.57,    7288.95,             8938.61,  -132.96,  55274.42,           60595.74,     18.56,     -7.04,          19.58,  +1.84,  +0.24
  4,     UK002F,       0,  0.185769, 2459442.568279244937,  70.55877,  29.19820,               76.18982,  26.94292,        76.15708,       26.92908,     70.55877,     +29.19820,      70.59464,      +29.20818,  3918348.89,  -653347.11,  5095877.35,      52.245799,       +1.278753,   96435.41,  206956.95,    9887.57,            11537.22,    38.09,  64565.00,           60919.19,    109.16,    -41.26,         116.31,  +1.77,  +0.19
  5,     UK002F,       0,  0.225965, 2459442.568279710133,  70.67317,  28.94828,               76.30042,  26.69249,        76.28574,       26.68629,     70.67317,     +28.94828,      70.68978,      +28.95275,  3917772.68,  -654080.10,  5094328.34,      52.240535,       +1.266788,   94936.51,  205422.72,   11695.52,            13345.18,  -578.37,  44978.53,           58736.62,     48.65,    -18.42,          52.23,  +4.07,  +2.51
  0,     UK0032,       1,  0.000000, 2459442.568277205806,  26.40790,  12.90115,              129.50917,  40.22936,       129.49983,       40.22215,     26.40790,     +12.90115,      26.41779,      +12.89821,  3922018.99,  -648678.41,  5105743.65,      52.279241,       +1.354562,  105985.95,  162284.64,       0.00,               21.56,  -272.89,      0.00,           61960.79,     20.60,     20.01,          36.50,  +5.82,  +4.77
  1,     UK0032,       0,  0.040220, 2459442.568277671002,  26.18901,  12.18425,              130.19759,  39.69907,       130.19397,       39.69630,     26.18901,     +12.18425,      26.19297,      +12.18312,  3921145.21,  -649789.94,  5103394.67,      52.271292,       +1.336530,  103711.60,  160522.48,    2741.66,             2763.22,    42.90,  68166.65,           61960.79,      7.91,      7.68,          14.16,  +2.09,  +1.06
  2,     UK0032,       0,  0.080400, 2459442.568278136197,  26.00637,  11.59522,              130.75936,  39.26216,       130.75784,       39.26099,     26.00637,     +11.59522,      26.00827,      +11.59474,  3920440.32,  -650686.61,  5101499.74,      52.264874,       +1.321947,  101877.12,  159119.99,    4953.37,             4974.93,  -168.86,  55044.92,           61960.79,      3.30,      3.21,           5.97,  +1.85,  +0.84
  3,     UK0032,       0,  0.120616, 2459442.568278601859,  25.79062,  10.88502,              131.42350,  38.73041,       131.42686,       38.73294,     25.79062,     +10.88502,      25.78751,      +10.88607,  3919607.66,  -651745.84,  5099261.28,      52.257285,       +1.304745,   99710.37,  157488.54,    7566.03,             7587.59,    18.18,  64965.71,           61960.79,     -7.19,     -6.98,          13.12,  +1.17,  +0.18
  4,     UK0032,       0,  0.160804, 2459442.568279067054,  25.57714,  10.24031,              132.03845,  38.25289,       132.03048,       38.24690,     25.57714,     +10.24031,      25.58617,      +10.23782,  3918860.81,  -652695.91,  5097253.53,      52.250472,       +1.289295,   97767.19,  156047.41,    9909.42,             9930.97,   -62.38,  58310.62,           61301.14,     16.91,     16.43,          31.17,  +1.33,  +0.36
  5,     UK0032,       0,  0.201012, 2459442.568279532250,  25.38847,   9.58748,              132.62319,  37.75446,       132.62688,       37.75721,     25.38847,      +9.58748,      25.38535,       +9.58863,  3918126.46,  -653630.06,  5095279.39,      52.243767,       +1.274096,   95856.79,  154651.97,   12213.57,            12235.13,  -183.37,  57305.90,           60541.78,     -7.77,     -7.55,          14.45,  +2.17,  +1.22
  6,     UK0032,       1,  0.241124, 2459442.568279996514,  25.26648,   9.20529,              132.97505,  37.46660,       132.97659,       37.46774,     25.26648,      +9.20529,      25.26581,       +9.20577,  3917699.35,  -654173.39,  5094131.19,      52.239865,       +1.265183,   94745.72,  153847.71,   13553.72,            13575.28, -1262.57,  33410.29,           57370.55,     -3.21,     -3.12,           6.01,  +5.10,  +4.16

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.