var start = new Date("2020-10-15T00:00:00.000+0000");
//or
start = new date("2020-10-15T00:00:00.000Z");
collection.find({
start_date:{
$gte: start
}
})...etc
_x000D_
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new Date(2020,9,15,0,0,0,0) may lead to wrong date: i mean non ISO format
(remember javascript count months from 0 to 11 so it's 9 for october)