How to update jQuery $.getJSON twitter API requests from 1.0 to 1.1

twitter API 1.1 auth upgrade pattern

<?php

/* code for getting bearer key -- in case this breaks 
// from https://dev.twitter.com/docs/auth/application-only-auth
// and http://stackoverflow.com/questions/15503710/twitter-application-only-authentication-php-oauth-error

$consumer_key = '...';
$consumer_secret = '...';

// step 1
  // step 1.1 - url encode the consumer_key and consumer_secret in accordance with RFC 1738
    $encoded_consumer_key = urlencode($consumer_key);
    $encoded_consumer_secret = urlencode($consumer_secret);
    // step 1.2 - concatinate encoded consumer, a colon character and the encoded consumer secr    et
$bearer_token = $encoded_consumer_key.':'.$encoded_consumer_secret;
    // step 1.3 - base64-encode bearer token
    $base64_encoded_bearer_token = base64_encode($bearer_token);
// step 2
      $url = "https://api.twitter.com/oauth2/token"; // url to send data to for authentication
        $headers = array( 
            "POST /oauth2/token HTTP/1.1", 
            "Host: api.twitter.com", 
            "User-Agent: my Twitter App v.1",
            //"Authorization: Basic ".$base64_encoded_bearer_token."",
            "Authorization: Basic ".$base64_encoded_bearer_token."",
            "Content-Type: application/x-www-form-urlencoded;charset=UTF-8", 
            "Content-Length: 29",
        ); 

echo $base64_encoded_bearer_token;

$ch = curl_init();  // setup a curl
curl_setopt($ch, CURLOPT_URL,$url);  // set url to send to
curl_setopt($ch, CURLOPT_HTTPHEADER, $headers); // set custom headers
curl_setopt($ch, CURLOPT_POST, 1); // send as post
curl_setopt($ch, CURLOPT_POSTFIELDS, "grant_type=client_credentials"); // post body/fields to be sent
$header = curl_setopt($ch, CURLOPT_HEADER, 1); // send custom headers
//$httpcode = curl_getinfo($ch, CURLINFO_HTTP_CODE);
$result = curl_exec($ch); // run the curl
curl_close($ch);  // stop curling
echo $result;
*/

// code for API request using bearer and PHP curl
$bearer = '...';

      $url = "https://api.twitter.com/1.1/statuses/user_timeline.json?count=3&screen_name=username";
        $headers = array( 
            "Authorization: Bearer ".$bearer."",
        ); 

$ch = curl_init();  // setup a curl
curl_setopt($ch, CURLOPT_URL, $url);  // set url to send to
curl_setopt($ch, CURLOPT_HTTPHEADER, $headers); // set custom headers
curl_setopt($ch, CURLOPT_RETURNTRANSFER, true); // return data reather than echo
$result = curl_exec($ch); // run the curl
curl_close($ch);  // stop curling
//echo $result;

?>

<script>
	var r = <?=$result?>;
	// old 1.0 no auth technique
        // $.getJSON("https://api.twitter.com/1/statuses/user_timeline.json?screen_name=username&count=3&callback=?",
        //  function(data){ ...
</script>