MongoDB - Querying between a time range of hours

I have a MongoDB datastore set up with location data stored like this:

{
"_id" : ObjectId("51d3e161ce87bb000792dc8d"),
"datetime_recorded" : ISODate("2013-07-03T05:35:13Z"),
"loc" : {
    "coordinates" : [
        0.297716,
        18.050614
    ],
    "type" : "Point"
},
"vid" : "11111-22222-33333-44444"
}

I'd like to be able to perform a query similar to the date range example but instead on a time range. i.e. Retrieve all points recorded between 12AM and 4PM (can be done with 1200 and 1600 24 hour time as well).

e.g.

With points:

• "datetime_recorded" : ISODate("2013-05-01T12:35:13Z"),
• "datetime_recorded" : ISODate("2013-06-20T05:35:13Z"),
• "datetime_recorded" : ISODate("2013-01-17T07:35:13Z"),
• "datetime_recorded" : ISODate("2013-04-03T15:35:13Z"),

a query

db.points.find({'datetime_recorded': {
    $gte: Date(1200 hours),
    $lt: Date(1600 hours)}
});

would yield only the first and last point.

Is this possible? Or would I have to do it for every day?