Orbital Analysis for matched events on 20210813_220018.917_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 66.32° Bg 38.72° Vg 59.08km/s
mass 0.04526g, abs. mag -0.7
Path Details
------------
start -0.37° 49.41° 109.73km
end   -0.53° 49.23° 96.71km

Orbit Details
-------------
Semimajor axis 47.05A.U., eccentricity 0.98, inclination 112.19°, Period 322.76Y, LA Sun 141.07°, 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: 2459440.416885624174
Time: 2021-08-13 22:00:18.917929 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002D and UK0038
 Convergence angle = 6.02382 deg
 R.A. =  50.22279  Dec = +59.29912 deg

Best intersection: Stations UK002D and UK0038 with Qconv = 6.02 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1602103.39 +/- 479.20 m
 Y =  -3914422.42 +/- 449.51 m
 Z =   4903512.00 +/- 138.49 m
 Vx =    18680.15 +/- 2333.65 m/s
 Vy =    23984.63 +/- 1983.14 m/s
 Vz =    51863.42 +/- 645.29 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.132542e+05, -2.016443e+05, -5.553302e+04, +6.512333e+05, -5.759702e+05, -9.908252e+04
-2.016443e+05, +1.958024e+05, +5.762078e+04, -6.255371e+05, +5.562952e+05, +8.859609e+04
-5.553302e+04, +5.762078e+04, +2.041024e+04, -1.745212e+05, +1.546543e+05, +1.878913e+04
+6.512333e+05, -6.255371e+05, -1.745212e+05, +3.096665e+06, -2.847944e+06, -6.056442e+05
-5.759702e+05, +5.562952e+05, +1.546543e+05, -2.847944e+06, +2.695342e+06, +6.449112e+05
-9.908252e+04, +8.859609e+04, +1.878913e+04, -6.056442e+05, +6.449112e+05, +2.581285e+05

Timing offsets (from input data):
    UK002D: -0.000758 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 22:00:18.917929 UTC
  Lon     = +-0.374186 +/- 0.0038 deg
  Lat     = +49.407165 +/- 0.0047 deg
  Lat geo = +49.220142 +/- 0.0047 deg
  Ht      =  109740.13 +/- 298.04 m

  JD dynamic   = 2459440.417686365079 
  LST apparent = 292.2584114896 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  52.08717 +/- 5.1703 deg
  Dec       = +59.62240 +/- 0.2966 deg
  Azimuth   =  30.24656 +/- 2.4425 deg
  Elevation = +29.43472 +/- 1.6505 deg
  Vavg      =  58.46490 +/- 0.5461 km/s
  Vinit     =  60.11676 +/- 0.5628 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  51.80056 +/- 5.1703 deg
  Dec       = +59.40258 +/- 0.2966 deg
  Azimuth   =  30.53727 +/- 2.4425 deg
  Elevation = +29.36180 +/- 1.6505 deg
  Vavg      =  58.60084 +/- 0.5461 km/s
  Vinit     =  60.25271 +/- 0.5628 km/s
Radiant (geocentric, J2000):
  R.A.   =  52.38756 +/- 5.1340 deg
  Dec    = +59.10502 +/- 0.2756 deg
  Vg     =  59.08402 +/- 0.5728 km/s
  Vinf   =  60.11676 +/- 0.5628 km/s
  Zc     =  60.72689 +/- 1.6549 deg
  Zg     =  61.30851 +/- 1.6666 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  66.31794 +/- 3.3428 deg
  Bg     = +38.72082 +/- 0.7220 deg
  Vh     =  41.62356 +/- 0.5525 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  89.14132 +/- 7.6766 deg
  Bh     = +62.61448 +/- 2.1576 deg
  Vh_x   =  -0.28692 +/- 1.9722 km/s
  Vh_y   = -19.14366 +/- 1.9227 km/s
  Vh_z   = -36.95887 +/- 0.4135 km/s
Orbit:
  La Sun = 141.068989 +/- 0.0000 deg
  a      =  47.052878 +/- 142.9392 AU
  e      =   0.980219 +/- 0.0497
  i      = 112.185698 +/- 0.5488 deg
  peri   = 146.704654 +/- 7.4485 deg
  node   = 141.067353 +/- 0.0000 deg
  Pi     = 287.772007 +/- 7.4485 deg
  q      =   0.930769 +/- 0.0270 AU
  f      =  33.291291 +/- 7.4485 deg
  M      =   0.069712 +/- nan deg
  Q      =  93.174987 +/- 285.8866 AU
  n      =   0.003054 +/- 0.0185 deg/day
  T      = 322.760163 +/- 253395277.9548 years
  Last perihelion JD = 2459417.588806 (2021-07-22 02:07:52.831808) +/- 4.4903 days
  Tj     =  -0.338834 +/- 0.2765
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.833750e-03, -5.666982e-04, -7.589196e-02, -2.302587e-08, -2.329660e-03, +3.033457e-04
q   , -5.666982e-04, +5.359296e-04, +9.865555e-02, +1.233107e-08, +2.651875e-03, -1.629213e-04
Tp  , -7.589196e-02, +9.865555e-02, +1.956962e+01, +2.166732e-06, +5.147399e-01, -2.866883e-02
node, -2.302587e-08, +1.233107e-08, +2.166732e-06, +4.262085e-13, +5.982254e-08, -5.628319e-09
peri, -2.329660e-03, +2.651875e-03, +5.147399e-01, +5.982254e-08, +1.362931e-02, -7.911712e-04
i   , +3.033457e-04, -1.629213e-04, -2.866883e-02, -5.628319e-09, -7.911712e-04, +7.432662e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 3.483533
 a2 = 10.946435

Mean time residuals from time vs. length:
  Station with reference time: UK0038
  Avg. res. = 2.184e-06 s
  Stddev    = 1.48e-03 s

Begin point on the trajectory:
  Lon =    -0.374348 +/- 0.0039 deg
  Lat =    49.406984 +/- 0.0045 deg
  Ht  = 109726.76 +/- 308.50 m
End point on the trajectory:
  Lon =    -0.533965 +/- 0.0036 deg
  Lat =    49.229785 +/- 0.0062 deg
  Ht  = 96706.35 +/- 293.30 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
    UK002D,   False,    -1.801980,    51.351940,  129.00,   4.783635,  10.191537,   109565.89,    96706.35,          0.010627,     49.88,      4.67,              99.75, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210813_220015_235_0165120.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.944950,  14.493421,   109726.76,    98326.98,          0.018725,     93.14,      1.16,              95.38, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210813_220017_111_0162304.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,     UK002D,       0,  0.018026, 2459440.416885842569, 314.79993, -11.99302,              154.35821,  23.32435,       154.36130,       23.32741,    314.79993,     -11.99302,     314.79628,      -11.99087,  1601993.22, -3914563.87,  4903206.13,      49.404807,       -0.376372,  109565.89,  264846.48,       0.00,              354.54,  -156.25,      0.00,           61560.03,      1.79,    -19.19,          15.01,  +3.02,  +0.91
  1,     UK002D,       0,  0.058402, 2459440.416886310093, 314.51414, -12.45025,              154.78674,  22.96131,       154.78951,       22.96404,    314.51414,     -12.45025,     314.51103,      -12.44831,  1601200.39, -3915581.83,  4901004.93,      49.387834,       -0.391701,  108312.40,  265470.89,    2551.50,             2906.04,   -32.03,  63193.40,           61560.03,      1.61,    -17.26,          13.47,  +2.26,  +0.14
  2,     UK002D,       0,  0.098782, 2459440.416886777151, 314.23197, -12.91518,              155.21059,  22.58820,       155.21897,       22.59645,    314.23197,     -12.91518,     314.22238,      -12.90931,  1600397.01, -3916613.34,  4898774.43,      49.370626,       -0.407227,  107042.99,  266127.23,    5136.95,             5491.49,   125.91,  64027.96,           61560.03,      4.87,    -52.30,          40.71,  +1.62,  -0.51
  3,     UK002D,       0,  0.139102, 2459440.416887243744, 313.95779, -13.30879,              155.60266,  22.28012,       155.59486,       22.27247,    313.95779,     -13.30879,     313.96753,      -13.31426,  1599687.55, -3917524.27,  4896804.69,      49.355423,       -0.420953,  105922.62,  266725.89,    7420.15,             7774.69,   -14.80,  56626.97,           61560.03,     -4.56,     48.77,          37.88,  +1.56,  -0.57
  4,     UK002D,       0,  0.179458, 2459440.416887710802, 313.68478, -13.74231,              156.00224,  21.93179,       155.99503,       21.92473,    313.68478,     -13.74231,     313.69400,      -13.74737,  1598924.63, -3918503.83,  4894686.52,      49.339066,       -0.435697,  104718.49,  267390.34,    9875.39,            10229.93,    14.37,  60839.57,           61005.35,     -4.22,     45.17,          35.00,  +1.42,  -0.72
  5,     UK002D,       0,  0.219806, 2459440.416888177861, 313.42296, -14.16931,              156.38585,  21.58544,       156.38431,       21.58394,    313.42296,     -14.16931,     313.42563,      -14.17039,  1598175.23, -3919466.03,  4892605.90,      49.322991,       -0.450178,  103536.38,  268063.32,   12287.11,            12641.65,     0.51,  59773.14,           60670.84,     -0.90,      9.66,           7.46,  +1.32,  -0.82
  6,     UK002D,       0,  0.260122, 2459440.416888644453, 313.17329, -14.55549,              156.74337,  21.27419,       156.73982,       21.27073,    313.17329,     -14.55549,     313.17852,      -14.55799,  1597484.77, -3920352.55,  4890688.92,      49.308174,       -0.463530,  102447.83,  268700.76,   14509.15,            14863.69,  -201.12,  55115.52,           59956.75,     -2.09,     22.35,          17.23,  +1.20,  -0.95
  7,     UK002D,       0,  0.300470, 2459440.416889111511, 312.88810, -14.98483,              157.14575,  20.92856,       157.13589,       20.91898,    312.88810,     -14.98483,     312.90100,      -14.99178,  1596707.47, -3921350.58,  4888530.81,      49.291485,       -0.478537,  101223.04,  269439.15,   17010.69,            17365.23,  -125.17,  61999.19,           59829.28,     -5.83,     62.20,          47.82,  +1.15,  -1.00
  8,     UK002D,       0,  0.340810, 2459440.416889578570, 312.62959, -15.40113,              157.51515,  20.58764,       157.51098,       20.58360,    312.62959,     -15.40113,     312.63590,      -15.40407,  1595964.12, -3922305.01,  4886466.99,      49.275517,       -0.492891,  100052.43,  270164.96,   19402.95,            19757.49,  -158.03,  59302.21,           59734.66,     -2.46,     26.34,          20.20,  +1.29,  -0.87
  9,     UK002D,       0,  0.381142, 2459440.416890045162, 312.38837, -15.80780,              157.86225,  20.25067,       157.87127,       20.25939,    312.38837,     -15.80780,     312.37915,      -15.80142,  1595243.33, -3923230.48,  4884465.80,      49.260027,       -0.506810,   98917.98,  270887.01,   21722.59,            22077.13,  -263.01,  57513.83,           59565.39,      5.33,    -57.19,          43.73,  +1.67,  -0.49
 10,     UK002D,       0,  0.421478, 2459440.416890512221, 312.10168, -16.21785,              158.25289,  19.91980,       158.24954,       19.91657,    312.10168,     -16.21785,     312.10736,      -16.22023,  1594478.75, -3924212.17,  4882343.03,      49.243588,       -0.521561,   97715.28,  271672.82,   24183.18,            24537.72,  -227.30,  61002.17,           59538.35,     -1.99,     21.29,          16.24,  +1.85,  -0.32
 11,     UK002D,       0,  0.461750, 2459440.416890978348, 311.85586, -16.55684,              158.58249,  19.64715,       158.56448,       19.62982,    311.85586,     -16.55684,     311.87920,      -16.56963,  1593837.03, -3925036.12,  4880561.36,      49.229785,       -0.533965,   96706.35,  272347.19,   26248.38,            26602.92,  -583.12,  51281.34,           59205.79,    -10.79,    114.73,          87.27,  +3.10,  +0.92
  0,     UK0038,       0,  0.000000, 2459440.416885624174, 322.29640, -11.23257,              145.98390,  21.52998,       145.96335,       21.50575,    322.29640,     -11.23257,     322.32335,      -11.24840,  1602094.93, -3914433.27,  4903488.53,      49.406984,       -0.374348,  109726.76,  284149.54,       0.00,               27.21,   600.10,      0.00,           55840.86,      1.89,    153.09,         111.13,  +3.73,  +1.46
  1,     UK0038,       0,  0.040204, 2459440.416886089835, 322.09778, -11.53803,              146.29590,  21.31351,       146.26957,       21.28255,    322.09778,     -11.53803,     322.13246,      -11.55830,  1601530.54, -3915157.94,  4901921.55,      49.394903,       -0.385309,  108834.28,  284451.06,    1816.34,             1843.55,    -0.50,  45178.19,           55840.86,      2.39,    196.06,         142.18,  +2.86,  +0.59
  2,     UK0038,       0,  0.080512, 2459440.416886555962, 321.87876, -11.98331,              146.67919,  20.97225,       146.68392,       20.97779,    321.87876,     -11.98331,     321.87281,      -11.97967,  1600760.63, -3916146.47,  4899783.98,      49.378416,       -0.400197,  107617.45,  284882.82,    4294.08,             4321.28,    54.05,  61469.98,           55840.86,     -0.46,    -35.21,          25.50,  +2.31,  +0.04
  3,     UK0038,       0,  0.120760, 2459440.416887022089, 321.60619, -12.37167,              147.09136,  20.70129,       147.07814,       20.68583,    321.60619,     -12.37167,     321.62399,      -12.38187,  1600023.13, -3917093.39,  4897736.40,      49.362615,       -0.414460,  106452.49,  285315.79,    6667.51,             6694.71,     7.90,  58970.13,           55840.86,      1.23,     98.59,          71.28,  +2.31,  +0.03
  4,     UK0038,       0,  0.161040, 2459440.416887488216, 321.38624, -12.78546,              147.45930,  20.38728,       147.46680,       20.39602,    321.38624,     -12.78546,     321.37698,      -12.77967,  1599291.01, -3918033.41,  4895703.74,      49.346922,       -0.428618,  105296.66,  285764.49,    9023.63,             9050.84,   -57.48,  58493.73,           56872.17,     -0.73,    -55.93,          40.37,  +1.92,  -0.36
  5,     UK0038,       0,  0.201312, 2459440.416887954343, 321.13850, -13.19459,              147.85048,  20.08571,       147.86209,       20.09920,    321.13850,     -13.19459,     321.12401,      -13.18562,  1598541.02, -3918996.37,  4893621.48,      49.330838,       -0.443112,  104113.30,  286243.75,   11437.25,            11464.46,   -64.88,  59932.91,           57604.08,     -1.13,    -86.65,          62.45,  +1.73,  -0.55
  6,     UK0038,       0,  0.241548, 2459440.416888420004, 320.86613, -13.56825,              148.25064,  19.82426,       148.24088,       19.81296,    320.86613,     -13.56825,     320.87987,      -13.57578,  1597817.38, -3919925.50,  4891612.36,      49.315312,       -0.457099,  102972.12,  286724.55,   13766.10,            13793.31,  -154.89,  57879.76,           57894.93,      0.91,     72.84,          52.41,  +1.68,  -0.61
  7,     UK0038,       0,  0.281816, 2459440.416888886131, 320.62240, -13.97347,              148.63217,  19.52231,       148.62851,       19.51807,    320.62240,     -13.97347,     320.62832,      -13.97631,  1597071.43, -3920883.27,  4889541.32,      49.299300,       -0.471508,  101796.44,  287239.34,   16166.71,            16193.91,  -175.06,  59615.76,           58159.55,      0.35,     27.40,          19.68,  +1.41,  -0.88
  8,     UK0038,       0,  0.322116, 2459440.416889352724, 320.35685, -14.42553,              149.04910,  19.18188,       149.05630,       19.19017,    320.35685,     -14.42553,     320.34866,      -14.41996,  1596241.34, -3921949.08,  4887236.65,      49.281473,       -0.487519,  100488.92,  287835.39,   18838.14,            18865.34,    73.66,  66288.52,           58825.52,     -0.69,    -53.83,          38.58,  +1.75,  -0.55
  9,     UK0038,       0,  0.362336, 2459440.416889817920, 320.11336, -14.77336,              149.40591,  18.93134,       149.40047,       18.92510,    320.11336,     -14.77336,     320.12194,      -14.77757,  1595569.35, -3922811.89,  4885370.95,      49.267034,       -0.500509,   99431.02,  288334.14,   21000.74,            21027.95,  -181.63,  53769.37,           58889.00,      0.51,     40.70,          29.12,  +2.48,  +0.18
 10,     UK0038,       0,  0.402576, 2459440.416890283581, 319.87730, -15.14558,              149.76220,  18.65424,       149.75730,       18.64862,    319.87730,     -15.14558,     319.88534,      -15.14937,  1594867.68, -3923712.80,  4883422.85,      49.251952,       -0.514061,   98326.98,  288871.59,   23258.85,            23286.05,  -342.62,  56116.03,           58797.67,      0.46,     36.72,          26.22,  +2.53,  +0.23

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.