简单地:

var s = moment.tz('2016-04-28 09:30:00',      // input date time string
                  'YYYY-MM-DD HH:mm:ss',      // format of input
                  'America/New_York')         // time zone of input

              .tz('Australia/Melbourne')      // convert to another time zone

              .format('YYYY-MM-DD HH:mm:ss'); // format output string

How do I change a date time string that represents a New York, New York date and time to Melbourne Australia using Moment.js 2.0.0+ ?

Other answers I found on *** were outdated or slightly different than my use case.

convert this string '2016-04-28 09:30:00' to its Melbourne Australia equivalent 

Simply:

var s = moment.tz('2016-04-28 09:30:00',      // input date time string
                  'YYYY-MM-DD HH:mm:ss',      // format of input
                  'America/New_York')         // time zone of input

              .tz('Australia/Melbourne')      // convert to another time zone

              .format('YYYY-MM-DD HH:mm:ss'); // format output string