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| 1 |  |  |  |  |  |  | package Astro::Montenbruck::Ephemeris::Planet::Uranus; | 
| 2 |  |  |  |  |  |  |  | 
| 3 | 2 |  |  | 2 |  | 991 | use strict; | 
|  | 2 |  |  |  |  | 4 |  | 
|  | 2 |  |  |  |  | 55 |  | 
| 4 | 2 |  |  | 2 |  | 8 | use warnings; | 
|  | 2 |  |  |  |  | 4 |  | 
|  | 2 |  |  |  |  | 59 |  | 
| 5 | 2 |  |  | 2 |  | 9 | use base qw/Astro::Montenbruck::Ephemeris::Planet/; | 
|  | 2 |  |  |  |  | 3 |  | 
|  | 2 |  |  |  |  | 123 |  | 
| 6 | 2 |  |  | 2 |  | 10 | use Math::Trig qw/:pi/; | 
|  | 2 |  |  |  |  | 4 |  | 
|  | 2 |  |  |  |  | 205 |  | 
| 7 | 2 |  |  | 2 |  | 13 | use Astro::Montenbruck::Ephemeris::Pert qw /pert/; | 
|  | 2 |  |  |  |  | 4 |  | 
|  | 2 |  |  |  |  | 94 |  | 
| 8 | 2 |  |  | 2 |  | 11 | use Astro::Montenbruck::MathUtils qw /frac ARCS/; | 
|  | 2 |  |  |  |  | 4 |  | 
|  | 2 |  |  |  |  | 109 |  | 
| 9 | 2 |  |  | 2 |  | 12 | use Astro::Montenbruck::Ephemeris::Planet qw/$UR/; | 
|  | 2 |  |  |  |  | 3 |  | 
|  | 2 |  |  |  |  | 2189 |  | 
| 10 |  |  |  |  |  |  |  | 
| 11 |  |  |  |  |  |  | our $VERSION = 0.01; | 
| 12 |  |  |  |  |  |  |  | 
| 13 |  |  |  |  |  |  | sub new { | 
| 14 | 4 |  |  | 4 | 1 | 9 | my $class = shift; | 
| 15 | 4 |  |  |  |  | 17 | $class->SUPER::new( id => $UR ); | 
| 16 |  |  |  |  |  |  | } | 
| 17 |  |  |  |  |  |  |  | 
| 18 |  |  |  |  |  |  | sub heliocentric { | 
| 19 | 4 |  |  | 4 | 1 | 10 | my ( $self, $t ) = @_; | 
| 20 |  |  |  |  |  |  |  | 
| 21 |  |  |  |  |  |  | # Mean anomalies of planets in [rad] | 
| 22 | 4 |  |  |  |  | 12 | my $m5 = pi2 * frac( 0.0564472 + 8.4302889 * $t ); | 
| 23 | 4 |  |  |  |  | 14 | my $m6 = pi2 * frac( 0.8829611 + 3.3947583 * $t ); | 
| 24 | 4 |  |  |  |  | 12 | my $m7 = pi2 * frac( 0.3967117 + 1.1902849 * $t ); | 
| 25 | 4 |  |  |  |  | 11 | my $m8 = pi2 * frac( 0.7216833 + 0.6068528 * $t ); | 
| 26 |  |  |  |  |  |  |  | 
| 27 | 4 |  |  |  |  | 10 | my ( $dl, $dr, $db ) = ( 0, 0, 0 );    # Corrections in longitude ["], | 
| 28 |  |  |  |  |  |  | my $pert_cb = sub { | 
| 29 | 280 |  |  | 280 |  | 327 | $dl += $_[0]; | 
| 30 | 280 |  |  |  |  | 320 | $dr += $_[1]; | 
| 31 | 280 |  |  |  |  | 383 | $db += $_[2]; | 
| 32 | 4 |  |  |  |  | 16 | }; | 
| 33 |  |  |  |  |  |  |  | 
| 34 |  |  |  |  |  |  | # Perturbations by Uranus | 
| 35 | 4 |  |  |  |  | 14 | my $term = pert( | 
| 36 |  |  |  |  |  |  | T        => $t, | 
| 37 |  |  |  |  |  |  | M        => $m7, | 
| 38 |  |  |  |  |  |  | m        => $m5, | 
| 39 |  |  |  |  |  |  | I_min    => -1, | 
| 40 |  |  |  |  |  |  | I_max    => 3, | 
| 41 |  |  |  |  |  |  | i_min    => -2, | 
| 42 |  |  |  |  |  |  | i_max    => -1, | 
| 43 |  |  |  |  |  |  | callback => $pert_cb | 
| 44 |  |  |  |  |  |  | ); | 
| 45 |  |  |  |  |  |  |  | 
| 46 | 4 |  |  |  |  | 15 | $term->( -1, -1, 0, 0.0,   0.0,  -0.1,   1.7,    -0.1, 0.0 ); | 
| 47 | 4 |  |  |  |  | 12 | $term->( 0,  -1, 0, 0.5,   -1.2, 18.9,   9.1,    -0.9, 0.1 ); | 
| 48 | 4 |  |  |  |  | 10 | $term->( 1,  -1, 0, -21.2, 48.7, -455.5, -198.8, 0.0,  0.0 ); | 
| 49 | 4 |  |  |  |  | 12 | $term->( 1,  -2, 0, -0.5,  1.2,  -10.9,  -4.8,   0.0,  0.0 ); | 
| 50 | 4 |  |  |  |  | 11 | $term->( 2,  -1, 0, -1.3,  3.2,  -23.2,  -11.1,  0.3,  0.1 ); | 
| 51 | 4 |  |  |  |  | 12 | $term->( 2,  -2, 0, -0.2,  0.2,  1.1,    1.5,    0.0,  0.0 ); | 
| 52 | 4 |  |  |  |  | 11 | $term->( 3,  -1, 0, 0.0,   0.2,  -1.8,   0.4,    0.0,  0.0 ); | 
| 53 |  |  |  |  |  |  |  | 
| 54 |  |  |  |  |  |  | # Perturbations by Saturn | 
| 55 | 4 |  |  |  |  | 13 | $term = pert( | 
| 56 |  |  |  |  |  |  | T        => $t, | 
| 57 |  |  |  |  |  |  | M        => $m7, | 
| 58 |  |  |  |  |  |  | m        => $m6, | 
| 59 |  |  |  |  |  |  | I_min    => 0, | 
| 60 |  |  |  |  |  |  | I_max    => 11, | 
| 61 |  |  |  |  |  |  | i_min    => -6, | 
| 62 |  |  |  |  |  |  | i_max    => 0, | 
| 63 |  |  |  |  |  |  | callback => $pert_cb | 
| 64 |  |  |  |  |  |  | ); | 
| 65 | 4 |  |  |  |  | 15 | $term->( 0, -1, 0, 1.4,   -0.5,   -6.4,   9.0,    -0.4, -0.8 ); | 
| 66 | 4 |  |  |  |  | 16 | $term->( 1, -1, 0, -18.6, -12.6,  36.7,   -336.8, 1.0,  0.3 ); | 
| 67 | 4 |  |  |  |  | 11 | $term->( 1, -2, 0, -0.7,  -0.3,   0.5,    -7.5,   0.1,  0.0 ); | 
| 68 | 4 |  |  |  |  | 12 | $term->( 2, -1, 0, 20.0,  -141.6, -587.1, -107.0, 3.1,  -0.8 ); | 
| 69 | 4 |  |  |  |  | 11 | $term->( 2, -1, 1, 1.0,   1.4,    5.8,    -4.0,   0.0,  0.0 ); | 
| 70 | 4 |  |  |  |  | 11 | $term->( 2, -2, 0, 1.6,   -3.8,   -35.6,  -16.0,  0.0,  0.0 ); | 
| 71 | 4 |  |  |  |  | 12 | $term->( 3, -1, 0, 75.3,  -100.9, 128.9,  77.5,   -0.8, 0.1 ); | 
| 72 | 4 |  |  |  |  | 13 | $term->( 3, -1, 1, 0.2,   1.8,    -1.9,   0.3,    0.0,  0.0 ); | 
| 73 | 4 |  |  |  |  | 10 | $term->( 3, -2, 0, 2.3,   -1.3,   -9.5,   -17.9,  0.0,  0.1 ); | 
| 74 | 4 |  |  |  |  | 11 | $term->( 3, -3, 0, -0.7,  -0.5,   -4.9,   6.8,    0.0,  0.0 ); | 
| 75 | 4 |  |  |  |  | 11 | $term->( 4, -1, 0, 3.4,   -5.0,   21.6,   14.3,   -0.8, -0.5 ); | 
| 76 | 4 |  |  |  |  | 12 | $term->( 4, -2, 0, 1.9,   0.1,    1.2,    -12.1,  0.0,  0.0 ); | 
| 77 | 4 |  |  |  |  | 10 | $term->( 4, -3, 0, -0.1,  -0.4,   -3.9,   1.2,    0.0,  0.0 ); | 
| 78 | 4 |  |  |  |  | 11 | $term->( 4, -4, 0, -0.2,  0.1,    1.6,    1.8,    0.0,  0.0 ); | 
| 79 | 4 |  |  |  |  | 11 | $term->( 5, -1, 0, 0.2,   -0.3,   1.0,    0.6,    -0.1, 0.0 ); | 
| 80 | 4 |  |  |  |  | 12 | $term->( 5, -2, 0, -2.2,  -2.2,   -7.7,   8.5,    0.0,  0.0 ); | 
| 81 | 4 |  |  |  |  | 11 | $term->( 5, -3, 0, 0.1,   -0.2,   -1.4,   -0.4,   0.0,  0.0 ); | 
| 82 | 4 |  |  |  |  | 12 | $term->( 5, -4, 0, -0.1,  0.0,    0.1,    1.2,    0.0,  0.0 ); | 
| 83 | 4 |  |  |  |  | 9 | $term->( 6, -2, 0, -0.2,  -0.6,   1.4,    -0.7,   0.0,  0.0 ); | 
| 84 |  |  |  |  |  |  |  | 
| 85 |  |  |  |  |  |  | # Keplerian motion and perturbations by Neptune | 
| 86 | 4 |  |  |  |  | 9 | $term = pert( | 
| 87 |  |  |  |  |  |  | T        => $t, | 
| 88 |  |  |  |  |  |  | M        => $m7, | 
| 89 |  |  |  |  |  |  | m        => $m8, | 
| 90 |  |  |  |  |  |  | I_min    => -1, | 
| 91 |  |  |  |  |  |  | I_max    => 7, | 
| 92 |  |  |  |  |  |  | i_min    => -8, | 
| 93 |  |  |  |  |  |  | i_max    => 0, | 
| 94 |  |  |  |  |  |  | callback => $pert_cb | 
| 95 |  |  |  |  |  |  | ); | 
| 96 |  |  |  |  |  |  |  | 
| 97 | 4 |  |  |  |  | 17 | $term->( 1,  0,  0, -78.1, 19518.1, -90718.2, -334.7, 2759.5, -311.9 ); | 
| 98 | 4 |  |  |  |  | 13 | $term->( 1,  0,  1, -81.6, 107.7,   -497.4,   -379.5, -2.8,   -43.7 ); | 
| 99 | 4 |  |  |  |  | 12 | $term->( 1,  0,  2, -6.6,  -3.1,    14.4,     -30.6,  -0.4,   -0.5 ); | 
| 100 | 4 |  |  |  |  | 13 | $term->( 1,  0,  3, 0.0,   -0.5,    2.4,      0.0,    0.0,    0.0 ); | 
| 101 | 4 |  |  |  |  | 12 | $term->( 2,  0,  0, -2.4,  586.1,   -2145.2,  -15.3,  130.6,  -14.3 ); | 
| 102 | 4 |  |  |  |  | 12 | $term->( 2,  0,  1, -4.5,  6.6,     -24.2,    -17.8,  0.7,    -1.6 ); | 
| 103 | 4 |  |  |  |  | 11 | $term->( 2,  0,  2, -0.4,  0.0,     0.1,      -1.4,   0.0,    0.0 ); | 
| 104 | 4 |  |  |  |  | 12 | $term->( 3,  0,  0, 0.0,   24.5,    -76.2,    -0.6,   7.0,    -0.7 ); | 
| 105 | 4 |  |  |  |  | 10 | $term->( 3,  0,  1, -0.2,  0.4,     -1.4,     -0.8,   0.1,    -0.1 ); | 
| 106 | 4 |  |  |  |  | 11 | $term->( 4,  0,  0, 0.0,   1.1,     -3.0,     0.1,    0.4,    0.0 ); | 
| 107 | 4 |  |  |  |  | 12 | $term->( -1, -1, 0, -0.2,  0.2,     0.7,      0.7,    -0.1,   0.0 ); | 
| 108 | 4 |  |  |  |  | 12 | $term->( 0,  -1, 0, -2.8,  2.5,     8.7,      10.5,   -0.4,   -0.1 ); | 
| 109 | 4 |  |  |  |  | 11 | $term->( 1,  -1, 0, -28.4, 20.3,    -51.4,    -72.0,  0.0,    0.0 ); | 
| 110 | 4 |  |  |  |  | 11 | $term->( 1,  -2, 0, -0.6,  -0.1,    4.2,      -14.6,  0.2,    0.4 ); | 
| 111 | 4 |  |  |  |  | 13 | $term->( 1,  -3, 0, 0.2,   0.5,     3.4,      -1.6,   -0.1,   0.1 ); | 
| 112 | 4 |  |  |  |  | 11 | $term->( 2,  -1, 0, -1.8,  1.3,     -5.5,     -7.7,   0.0,    0.3 ); | 
| 113 | 4 |  |  |  |  | 11 | $term->( 2,  -2, 0, 29.4,  10.2,    -29.0,    83.2,   0.0,    0.0 ); | 
| 114 | 4 |  |  |  |  | 15 | $term->( 2,  -3, 0, 8.8,   17.8,    -41.9,    21.5,   -0.1,   -0.3 ); | 
| 115 | 4 |  |  |  |  | 10 | $term->( 2,  -4, 0, 0.0,   0.1,     -2.1,     -0.9,   0.1,    0.0 ); | 
| 116 | 4 |  |  |  |  | 18 | $term->( 3,  -2, 0, 1.5,   0.5,     -1.7,     5.1,    0.1,    -0.2 ); | 
| 117 | 4 |  |  |  |  | 25 | $term->( 3,  -3, 0, 4.4,   14.6,    -84.3,    25.2,   0.1,    -0.1 ); | 
| 118 | 4 |  |  |  |  | 13 | $term->( 3,  -4, 0, 2.4,   -4.5,    12.0,     6.2,    0.0,    0.0 ); | 
| 119 | 4 |  |  |  |  | 20 | $term->( 3,  -5, 0, 2.9,   -0.9,    2.1,      6.2,    0.0,    0.0 ); | 
| 120 | 4 |  |  |  |  | 12 | $term->( 4,  -3, 0, 0.3,   1.0,     -4.0,     1.1,    0.1,    -0.1 ); | 
| 121 | 4 |  |  |  |  | 12 | $term->( 4,  -4, 0, 2.1,   -2.7,    17.9,     14.0,   0.0,    0.0 ); | 
| 122 | 4 |  |  |  |  | 13 | $term->( 4,  -5, 0, 3.0,   -0.4,    2.3,      17.6,   -0.1,   -0.1 ); | 
| 123 | 4 |  |  |  |  | 10 | $term->( 4,  -6, 0, -0.6,  -0.5,    1.1,      -1.6,   0.0,    0.0 ); | 
| 124 | 4 |  |  |  |  | 10 | $term->( 5,  -4, 0, 0.2,   -0.2,    1.0,      0.8,    0.0,    0.0 ); | 
| 125 | 4 |  |  |  |  | 9 | $term->( 5,  -5, 0, -0.9,  -0.1,    0.6,      -7.1,   0.0,    0.0 ); | 
| 126 | 4 |  |  |  |  | 11 | $term->( 5,  -6, 0, -0.5,  -0.6,    3.8,      -3.6,   0.0,    0.0 ); | 
| 127 | 4 |  |  |  |  | 10 | $term->( 5,  -7, 0, 0.0,   -0.5,    3.0,      0.1,    0.0,    0.0 ); | 
| 128 | 4 |  |  |  |  | 11 | $term->( 6,  -6, 0, 0.2,   0.3,     -2.7,     1.6,    0.0,    0.0 ); | 
| 129 | 4 |  |  |  |  | 11 | $term->( 6,  -7, 0, -0.1,  0.2,     -2.0,     -0.4,   0.0,    0.0 ); | 
| 130 | 4 |  |  |  |  | 9 | $term->( 7,  -7, 0, 0.1,   -0.2,    1.3,      0.5,    0.0,    0.0 ); | 
| 131 | 4 |  |  |  |  | 10 | $term->( 7,  -8, 0, 0.1,   0.0,     0.4,      0.9,    0.0,    0.0 ); | 
| 132 |  |  |  |  |  |  |  | 
| 133 |  |  |  |  |  |  | # Perturbations by Uranus and Uranus | 
| 134 | 4 |  |  |  |  | 13 | $term = pert( | 
| 135 |  |  |  |  |  |  | T        => $t, | 
| 136 |  |  |  |  |  |  | M        => $m7, | 
| 137 |  |  |  |  |  |  | m        => $m6, | 
| 138 |  |  |  |  |  |  | I_min    => -2, | 
| 139 |  |  |  |  |  |  | I_max    => 4, | 
| 140 |  |  |  |  |  |  | i_min    => -6, | 
| 141 |  |  |  |  |  |  | i_max    => -4, | 
| 142 |  |  |  |  |  |  | phi      => 2 * $m5, | 
| 143 |  |  |  |  |  |  | callback => $pert_cb | 
| 144 |  |  |  |  |  |  | ); | 
| 145 |  |  |  |  |  |  |  | 
| 146 | 4 |  |  |  |  | 15 | $term->( -2, -4, 0, -0.7, 0.4,  -1.5,  -2.5,  0.0, 0.0 ); | 
| 147 | 4 |  |  |  |  | 14 | $term->( -1, -4, 0, -0.1, -0.1, -2.2,  1.0,   0.0, 0.0 ); | 
| 148 | 4 |  |  |  |  | 14 | $term->( 1,  -5, 0, 0.1,  -0.4, 1.4,   0.2,   0.0, 0.0 ); | 
| 149 | 4 |  |  |  |  | 11 | $term->( 1,  -6, 0, 0.4,  0.5,  -0.8,  -0.8,  0.0, 0.0 ); | 
| 150 | 4 |  |  |  |  | 9 | $term->( 2,  -6, 0, 5.7,  6.3,  28.5,  -25.5, 0.0, 0.0 ); | 
| 151 | 4 |  |  |  |  | 9 | $term->( 2,  -6, 1, 0.1,  -0.2, -1.1,  -0.6,  0.0, 0.0 ); | 
| 152 | 4 |  |  |  |  | 10 | $term->( 3,  -6, 0, -1.4, 29.2, -11.4, 1.1,   0.0, 0.0 ); | 
| 153 | 4 |  |  |  |  | 11 | $term->( 3,  -6, 1, 0.8,  -0.4, 0.2,   0.3,   0.0, 0.0 ); | 
| 154 | 4 |  |  |  |  | 13 | $term->( 4,  -6, 0, 0.0,  1.3,  -6.0,  -0.1,  0.0, 0.0 ); | 
| 155 |  |  |  |  |  |  |  | 
| 156 |  |  |  |  |  |  | # Ecliptic coordinates ([rad],[AU]) | 
| 157 |  |  |  |  |  |  |  | 
| 158 | 4 |  |  |  |  | 15 | my $l = | 
| 159 |  |  |  |  |  |  | pi2 * | 
| 160 |  |  |  |  |  |  | frac( 0.4734843 + $m7 / pi2 + | 
| 161 |  |  |  |  |  |  | ( ( 5082.3 + 34.2 * $t ) * $t + $dl ) / 1296.0e3 ); | 
| 162 | 4 |  |  |  |  | 8 | my $r = 19.211991 + ( -0.000333 - 0.000005 * $t ) * $t + $dr * 1.0e-5; | 
| 163 | 4 |  |  |  |  | 9 | my $b = ( -130.61 + ( -0.54 + 0.04 * $t ) * $t + $db ) / ARCS; | 
| 164 |  |  |  |  |  |  |  | 
| 165 | 4 |  |  |  |  | 28 | $l, $b, $r; | 
| 166 |  |  |  |  |  |  |  | 
| 167 |  |  |  |  |  |  | } | 
| 168 |  |  |  |  |  |  |  | 
| 169 |  |  |  |  |  |  | # Intermediate variables for calculating geocentric positions. | 
| 170 |  |  |  |  |  |  | sub _lbr_geo { | 
| 171 | 4 |  |  | 4 |  | 10 | my ( $self, $t ) = @_; | 
| 172 |  |  |  |  |  |  |  | 
| 173 | 4 |  |  |  |  | 24 | my $m  = pi2 * frac( 0.3967117 + 1.1902849 * $t ); | 
| 174 | 4 |  |  |  |  | 6 | my $sm = sin($m); | 
| 175 | 4 |  |  |  |  | 7 | my $dl = 2.05 + 0.19 * cos($m); | 
| 176 | 4 |  |  |  |  | 7 | my $dr = 1.86 * $sm; | 
| 177 | 4 |  |  |  |  | 6 | my $db = -0.03 * $sm; | 
| 178 |  |  |  |  |  |  |  | 
| 179 | 4 |  |  |  |  | 10 | $dl, $db, $dr; | 
| 180 |  |  |  |  |  |  | } | 
| 181 |  |  |  |  |  |  |  | 
| 182 |  |  |  |  |  |  | 1; | 
| 183 |  |  |  |  |  |  |  | 
| 184 |  |  |  |  |  |  | __END__ | 
| 185 |  |  |  |  |  |  |  | 
| 186 |  |  |  |  |  |  | =pod | 
| 187 |  |  |  |  |  |  |  | 
| 188 |  |  |  |  |  |  | =encoding UTF-8 | 
| 189 |  |  |  |  |  |  |  | 
| 190 |  |  |  |  |  |  | =head1 NAME | 
| 191 |  |  |  |  |  |  |  | 
| 192 |  |  |  |  |  |  | Astro::Montenbruck::Ephemeris::Planet::Uranus - Uranus. | 
| 193 |  |  |  |  |  |  |  | 
| 194 |  |  |  |  |  |  | =head1 SYNOPSIS | 
| 195 |  |  |  |  |  |  |  | 
| 196 |  |  |  |  |  |  | use Astro::Montenbruck::Ephemeris::Planet::Uranus; | 
| 197 |  |  |  |  |  |  | my $planet = Astro::Montenbruck::Ephemeris::Planet::Uranus->new(); | 
| 198 |  |  |  |  |  |  | my @geo = $planet->position($t); # apparent geocentric ecliptical coordinates | 
| 199 |  |  |  |  |  |  |  | 
| 200 |  |  |  |  |  |  | =head1 DESCRIPTION | 
| 201 |  |  |  |  |  |  |  | 
| 202 |  |  |  |  |  |  | Child class of L<Astro::Montenbruck::Ephemeris::Planet>, responsible for calculating | 
| 203 |  |  |  |  |  |  | B<Uranus> position. | 
| 204 |  |  |  |  |  |  |  | 
| 205 |  |  |  |  |  |  | =head1 METHODS | 
| 206 |  |  |  |  |  |  |  | 
| 207 |  |  |  |  |  |  | =head2 Astro::Montenbruck::Ephemeris::Planet::Uranus->new | 
| 208 |  |  |  |  |  |  |  | 
| 209 |  |  |  |  |  |  | Constructor. | 
| 210 |  |  |  |  |  |  |  | 
| 211 |  |  |  |  |  |  | =head2 $self->heliocentric($t) | 
| 212 |  |  |  |  |  |  |  | 
| 213 |  |  |  |  |  |  | See description in L<Astro::Montenbruck::Ephemeris::Planet>. | 
| 214 |  |  |  |  |  |  |  | 
| 215 |  |  |  |  |  |  |  | 
| 216 |  |  |  |  |  |  | =head1 AUTHOR | 
| 217 |  |  |  |  |  |  |  | 
| 218 |  |  |  |  |  |  | Sergey Krushinsky, C<< <krushi at cpan.org> >> | 
| 219 |  |  |  |  |  |  |  | 
| 220 |  |  |  |  |  |  | =head1 COPYRIGHT AND LICENSE | 
| 221 |  |  |  |  |  |  |  | 
| 222 |  |  |  |  |  |  | Copyright (C) 2009-2022 by Sergey Krushinsky | 
| 223 |  |  |  |  |  |  |  | 
| 224 |  |  |  |  |  |  | This library is free software; you can redistribute it and/or modify | 
| 225 |  |  |  |  |  |  | it under the same terms as Perl itself. | 
| 226 |  |  |  |  |  |  |  | 
| 227 |  |  |  |  |  |  | =cut |