This was the response from VFS Helpline Services when I sent them an email asking when am I able to re-apply again after I was refused on my first visit visa attempt.
Dear Ms melovesengland,
Greetings from UK VAC!
The UK Border Agency does not set a restriction as to when one is eligible to re-apply for a visa after the notice of refusal was given. You may apply for a visa at any given time provided that you have not formally submitted an appeal on your previous application.
As for the intended travel to the UK , applicant has the option whether to make a new a new application or send an appeal if the application carried a full right of appeal. You can submit the appeal within the deadline period (within 28 days after receipt of the Notice of Refusal). However, you can also make a new application and ensure that you address all the areas of refusal.
When making a new application, the applicant must be able to satisfy the Entry Clearance Officer that the conditions stated in the refusal letter on his previous application have been satisfactorily overcome and thus give the ECO the confidence that the applicant will meet the terms in order to be granted entry in the UK. Although, the application will be again assessed so the outcome cannot be pre-determined. Also, this would incur a new application fee whereas the appeal decision is free but will take longer.
We cannot guarantee as to the outcome of your subsequent application as any application would be treated on its merits and in accordance with the Immigration Rules.
Sincerely,
VFS Helpline UK VAC
I was refused a 3 days after I submitted my app, recieved this email 16 of march 2011 and I re-applied on the 30th.