How to go from one page to another page using javascript?

To simply redirect a browser using javascript:

window.location.href = "http://example.com/new_url";

To redirect AND submit a form (i.e. login details), requires no javascript:

<form action="/new_url" method="POST">
   <input name="username">
   <input type="password" name="password">
   <button type="submit">Submit</button>
</form>