say 'Julian Day: ' . $dt->jd;

my $pturl  = 'http://www.fourmilab.ch/cgi-bin/Yoursky?z=1&lat=45.5183&
+ns=North&lon=122.676&ew=West';

# you wanted Julian date so it looks like date should be '2' from the 
+source.
my $tx = $ua->post( $pturl => form => { utc => $dt->jd, date => '2' } 
+);
my $sunrow = $tx->res->dom->at('center:nth-of-type(3) table tr:nth-of-
+type(3)');

# output
say 'Name:'      . $sunrow->children->[0]->all_text;
say 'Altitude: ' . $sunrow->children->[4]->text;
say 'Azimuth: '  . $sunrow->children->[5]->text;
say 'Visible: '  . $sunrow->children->[6]->text;