Orbital Analysis for matched events on 20210813_010935.466_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.86° Bg 40.70° Vg 55.31km/s
mass 0.08029g, abs. mag -2.3
Path Details
------------
start 1.94° 50.98° 109.30km
end   1.79° 50.90° 91.29km

Orbit Details
-------------
Semimajor axis 4.04A.U., eccentricity 0.77, inclination 107.21°, Period 8.11Y, LA Sun 140.23°, 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: 2459439.548327158671
Time: 2021-08-13 01:09:35.506863 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK002N
 Convergence angle = 31.65656 deg
 R.A. =  48.57320  Dec = +59.61646 deg

Best intersection: Stations UK002K and UK002N with Qconv = 31.66 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3870970.03 +/- 834.82 m
 Y =  -1329379.39 +/- 800.80 m
 Z =   5019070.45 +/- 375.44 m
 Vx =    18174.88 +/- 2603.70 m/s
 Vy =    20666.13 +/- 2485.27 m/s
 Vz =    49240.66 +/- 3427.37 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.053060e+05, +4.838081e+05, +2.264346e+05, +1.431655e+06, +1.367826e+06, +6.212709e+05
+4.838081e+05, +4.637060e+05, +2.166929e+05, +1.371697e+06, +1.311487e+06, +5.958988e+05
+2.264346e+05, +2.166929e+05, +1.019165e+05, +6.388944e+05, +6.100576e+05, +2.767980e+05
+1.431655e+06, +1.371697e+06, +6.388944e+05, +4.260694e+06, +4.070063e+06, +1.839315e+06
+1.367826e+06, +1.311487e+06, +6.100576e+05, +4.070063e+06, +3.892639e+06, +1.761205e+06
+6.212709e+05, +5.958988e+05, +2.767980e+05, +1.839315e+06, +1.761205e+06, +8.074065e+05

Timing offsets (from input data):
    UK002K: -0.005427 s
    UK002N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 01:09:35.506863 UTC
  Lon     = ++1.950718 +/- 0.0144 deg
  Lat     = +50.989077 +/- 0.0016 deg
  Lat geo = +50.803942 +/- 0.0015 deg
  Ht      =  111008.01 +/- 624.88 m

  JD dynamic   = 2459439.549128366634 
  LST apparent = 341.0463595929 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.66989 +/- 0.7644 deg
  Dec       = +60.79867 +/- 2.6888 deg
  Azimuth   =  48.07443 +/- 4.4503 deg
  Elevation = +52.67286 +/- 0.3509 deg
  Vavg      =  57.66503 +/- 1.3208 km/s
  Vinit     =  56.40973 +/- 2.5296 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.90409 +/- 0.7644 deg
  Dec       = +60.55435 +/- 2.6888 deg
  Azimuth   =  48.40631 +/- 4.4503 deg
  Elevation = +52.49347 +/- 0.3509 deg
  Vavg      =  57.80030 +/- 1.3208 km/s
  Vinit     =  56.54500 +/- 2.5296 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.98305 +/- 0.9025 deg
  Dec    = +60.61204 +/- 2.7007 deg
  Vg     =  55.30792 +/- 2.5818 km/s
  Vinf   =  56.40973 +/- 2.5296 km/s
  Zc     =  37.45106 +/- 0.3413 deg
  Zg     =  37.83415 +/- 0.3100 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.86055 +/- 1.7993 deg
  Bg     = +40.70445 +/- 2.3889 deg
  Vh     =  39.13290 +/- 0.9136 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  92.84900 +/- 12.0682 deg
  Bh     = +67.18005 +/- 2.8770 deg
  Vh_x   =   0.75437 +/- 2.5352 km/s
  Vh_y   = -15.15841 +/- 2.6150 km/s
  Vh_z   = -36.06989 +/- 0.1161 km/s
Orbit:
  La Sun = 140.234904 +/- 0.0000 deg
  a      =   4.037618 +/- 3.5012 AU
  e      =   0.768981 +/- 0.0735
  i      = 107.205597 +/- 5.3184 deg
  peri   = 144.814462 +/- 3.6147 deg
  node   = 140.235001 +/- 0.0003 deg
  Pi     = 285.049463 +/- 3.6144 deg
  q      =   0.932765 +/- 0.0121 AU
  f      =  35.181959 +/- 3.6148 deg
  M      =   3.106888 +/- 1.7194 deg
  Q      =   7.142472 +/- 6.9928 AU
  n      =   0.121483 +/- 0.0546 deg/day
  T      =   8.113132 +/- 15.6726 years
  Last perihelion JD = 2459413.974497 (2021-07-18 11:23:16.521306) +/- 2.8465 days
  Tj     =   0.955827 +/- 0.5261
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.377182e-03, +7.451969e-04, +1.881758e-01, -3.402316e-07, +4.070349e-03, +5.139344e-03
q   , +7.451969e-04, +1.107651e-04, +2.729684e-02, -5.118273e-08, +5.956149e-04, +7.795117e-04
Tp  , +1.881758e-01, +2.729684e-02, +6.786147e+00, -1.256649e-05, +1.476085e-01, +1.908848e-01
node, -3.402316e-07, -5.118273e-08, -1.256649e-05, +2.387298e-11, -2.745593e-07, -3.644421e-07
peri, +4.070349e-03, +5.956149e-04, +1.476085e-01, -2.745593e-07, +3.214320e-03, +4.174496e-03
i   , +5.139344e-03, +7.795117e-04, +1.908848e-01, -3.644421e-07, +4.174496e-03, +5.569498e-03

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: UK002N
  Avg. res. = 3.242e-06 s
  Stddev    = 1.80e-03 s

Begin point on the trajectory:
  Lon =     1.937175 +/- 0.0126 deg
  Lat =    50.981399 +/- 0.0014 deg
  Ht  = 109303.16 +/- 537.36 m
End point on the trajectory:
  Lon =     1.792101 +/- 0.0054 deg
  Lat =    50.899854 +/- 0.0008 deg
  Ht  = 91287.61 +/- 202.11 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   100591.77,    93041.67,          0.021458,     97.39,     84.49,              81.61, 1.0000,    True,   False, {"ff_name": "FF_UK002K_20210813_010935_840_0440576.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   109303.16,    91287.61,          0.008564,      9.62,     30.71,              42.95, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210813_010933_090_0453120.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,     UK002K,       0,  0.237012, 2459439.548329964746,   7.79493, -16.64744,              151.10129,  15.49737,       151.08778,       15.48786,      7.79493,     -16.64744,       7.81188,      -16.65261,  3866747.72, -1334180.46,  5007631.06,      50.942063,       +1.867060,  100591.77,  344666.51,       0.00,            13104.88,   -92.85,      0.00,           56450.14,     63.49,     73.27,          58.02,  +2.29,  -0.40
  1,     UK002K,       0,  0.277228, 2459439.548330430407,   7.69577, -17.05381,              151.32118,  15.13798,       151.34306,       15.15338,      7.69577,     -17.05381,       7.67106,      -17.04541,  3865940.61, -1335098.20,  5005444.38,      50.933052,       +1.851051,   98601.73,  344411.37,    2505.05,            15609.92,   143.62,  62289.79,           56450.14,   -102.97,   -118.67,          94.09,  +0.38,  -2.31
  2,     UK002K,       0,  0.317376, 2459439.548330894671,   7.58495, -17.36398,              151.52138,  14.87337,       151.54421,       14.88942,      7.58495,     -17.36398,       7.55923,      -17.35520,  3865304.86, -1335821.09,  5003721.96,      50.925949,       +1.838403,   97034.43,  344222.08,    4478.23,            17583.11,  -147.93,  49147.79,           56450.14,   -107.44,   -123.82,          98.23,  +0.16,  -2.52
  3,     UK002K,       0,  0.357552, 2459439.548331359867,   7.44313, -17.74355,              151.77108,  14.55084,       151.79051,       14.56449,      7.44313,     -17.74355,       7.42156,      -17.73605,  3864523.89, -1336709.11,  5001606.11,      50.917216,       +1.822901,   95109.43,  344006.13,    6902.13,            20007.01,     9.66,  60332.09,           56450.14,    -91.42,   -105.37,          83.64,  -0.04,  -2.72
  4,     UK002K,       0,  0.397724, 2459439.548331825063,   7.26264, -18.14280,              152.06173,  14.21974,       152.05450,       14.21466,      7.26264,     -18.14280,       7.27293,      -18.14560,  3863684.86, -1337663.15,  4999332.95,      50.907827,       +1.806254,   93041.67,  343793.47,    9506.26,            22611.13,   347.69,  64824.33,           58269.61,     33.99,     39.23,          31.14,  +0.28,  -2.40
  0,     UK002N,       1,  0.000000, 2459439.548327158671,  43.30765,  17.64308,               98.25229,  29.27462,        98.18832,       29.22005,     43.30765,     +17.64308,      43.38938,      +17.63788,  3870974.33, -1329374.50,  5019082.10,      50.989125,       +1.950971,  111018.62,  221416.28,       0.00,               13.35,   185.40,      0.00,           55292.29,    287.72,     90.60,         281.01,  +3.37,  +1.64
  1,     UK002N,       0,  0.040340, 2459439.548327625729,  43.36026,  17.25380,               98.49772,  28.94587,        98.49681,       28.94511,     43.36026,     +17.25380,      43.36159,      +17.25373,  3870279.21, -1330164.90,  5017198.83,      50.981399,       +1.937175,  109303.16,  219841.60,    2157.46,             2144.11,    40.59,  53481.95,           55292.29,      4.05,      1.27,           3.98,  +1.55,  -0.16
  2,     UK002N,       0,  0.080664, 2459439.548328092322,  43.31863,  16.86126,               98.82224,  28.67235,        98.81100,       28.66282,     43.31863,     +16.86126,      43.33326,      +16.86037,  3869577.57, -1330962.72,  5015297.88,      50.973595,       +1.923249,  107571.85,  218262.46,    4335.17,             4321.82,   -56.37,  54005.30,           55292.29,     49.85,     15.61,          49.36,  +0.85,  -0.84
  3,     UK002N,       0,  0.121024, 2459439.548328559380,  43.28223,  16.42622,               99.17195,  28.36241,        99.15664,       28.34947,     43.28223,     +16.42622,      43.30218,      +16.42499,  3868812.74, -1331832.38,  5013225.77,      50.965082,       +1.908082,  105684.94,  216553.98,    6708.97,             6695.62,    40.73,  58815.56,           55292.29,     67.40,     21.12,          67.27,  +0.65,  -1.03
  4,     UK002N,       0,  0.161376, 2459439.548329026438,  43.26567,  16.00504,               99.49310,  28.05009,        99.48846,       28.04618,     43.26567,     +16.00504,      43.27223,      +16.00467,  3868085.53, -1332659.27,  5011255.56,      50.956982,       +1.893648,  103891.09,  214940.83,    8966.03,             8952.68,    21.55,  55934.31,           55730.32,     20.30,      6.35,          20.41,  +0.37,  -1.29
  5,     UK002N,       0,  0.201728, 2459439.548329493497,  43.25451,  15.58605,               99.80634,  27.73542,        99.81647,       27.74393,     43.25451,     +15.58605,      43.24255,      +15.58685,  3867373.26, -1333469.18,  5009325.82,      50.949041,       +1.879505,  102134.37,  213372.05,   11176.72,            11163.37,   -44.00,  54785.28,           55720.41,    -43.93,    -13.73,          44.50,  +0.22,  -1.43
  6,     UK002N,       0,  0.242100, 2459439.548329960555,  43.20889,  15.13192,              100.17194,  27.41424,       100.17148,       27.41386,     43.20889,     +15.13192,      43.21048,      +15.13188,  3866609.43, -1334337.70,  5007256.41,      50.940519,       +1.864348,  100250.79,  211703.31,   13547.42,            13534.07,    49.32,  58721.34,           56038.62,      1.96,      0.61,           2.00,  +0.07,  -1.56
  7,     UK002N,       0,  0.282456, 2459439.548330427613,  43.17432,  14.70237,              100.50874,  27.10442,       100.50501,       27.10130,     43.17432,     +14.70237,      43.18021,      +14.70207,  3865898.62, -1335145.94,  5005330.63,      50.932583,       +1.850228,   98498.22,  210161.91,   15753.58,            15740.23,   -20.99,  54667.33,           56056.87,     15.97,      5.00,          16.42,  +0.00,  -1.61
  8,     UK002N,       0,  0.322832, 2459439.548330895137,  43.14542,  14.25401,              100.85239,  26.77585,       100.85077,       26.77450,     43.14542,     +14.25401,      43.14880,      +14.25388,  3865168.35, -1335976.31,  5003352.13,      50.924423,       +1.835722,   96697.93,  208591.13,   18020.14,            18006.79,   -32.03,  56136.44,           56070.70,      6.85,      2.15,           7.10,  -0.21,  -1.81
  9,     UK002N,       0,  0.363216, 2459439.548331362661,  43.10880,  13.78926,              101.21220,  26.43857,       101.20737,       26.43455,     43.10880,     +13.78926,      43.11639,      +13.78888,  3864422.12, -1336824.83,  5001330.39,      50.916078,       +1.820901,   94858.59,  206999.69,   20336.23,            20322.88,     6.01,  57351.69,           56147.67,     20.36,      6.38,          21.26,  -0.10,  -1.68
 10,     UK002N,       0,  0.403612, 2459439.548331830185,  43.08208,  13.31660,              101.56726,  26.08828,       101.56739,       26.08839,     43.08208,     +13.31660,      43.08360,      +13.31661,  3863675.74, -1337673.51,  4999308.25,      50.907725,       +1.806074,   93019.19,  205421.85,   22652.77,            22639.42,    43.83,  57345.77,           56244.17,     -0.56,     -0.17,           0.58,  -0.07,  -1.63
 11,     UK002N,       0,  0.443984, 2459439.548332297243,  43.04549,  12.86565,              101.91345,  25.76013,       101.90949,       25.75685,     43.04549,     +12.86565,      43.05230,      +12.86534,  3862973.01, -1338472.57,  4997404.37,      50.899854,       +1.792101,   91287.61,  203948.68,   24833.85,            24820.50,   -52.47,  54024.45,           56214.41,     16.46,      5.15,          17.44,  +0.29,  -1.26

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.