mongodump query with date error "FailedToParse: FailedToParse: Bad characters in value"

bash-session

# Check the following bash session carefully to know how this was solved.
# In short I just used the milliseconds with Date function

ubuntu@production-server:~$ mongodump --collection my_collection --db my_db --query '{"timestamp": {$gt: ISODate("2015-02-01T00:
00:00Z")}}'
connected to: 127.0.0.1
assertion: 16619 code FailedToParse: FailedToParse: Bad characters in value: offset:19
ubuntu@production-server:~$ mongodump --collection my_collection --db my_db --query '{"timestamp": {$gt:ISODate("2015-02-01T00:0
0:00Z")}}'
connected to: 127.0.0.1
assertion: 16619 code FailedToParse: FailedToParse: Bad characters in value: offset:19
ubuntu@production-server:~$ mongodump --collection my_collection --db my_db --query '{timestamp: {$gte:new Date(2015,1,1)}}'    
connected to: 127.0.0.1
assertion: 16619 code FailedToParse: FailedToParse: First character in field must be [A-Za-z$_]: offset:32
ubuntu@production-server:~$ mongodump --collection my_collection --db my_db --query '{timestamp:{$gte:new Date(2015,1,1)}}'
connected to: 127.0.0.1
assertion: 16619 code FailedToParse: FailedToParse: First character in field must be [A-Za-z$_]: offset:31
ubuntu@production-server:~$ mongo
MongoDB shell version: 2.4.6
connecting to: test
> show dbs
admin   (empty)
image-tracker   (empty)
my_db  207.8525390625GB
image-tracker-split-2   (empty)
local   0.078125GB
> use my_db
switched to db my_db
> db.my_collection
my_db.my_collection
> db.my_collection.find({timestamp:{$gte:new Date(2015,0, 1)}}, {_id: 1})
{ "_id" : ObjectId("54a48e0054ddff85251f877e") }
{ "_id" : ObjectId("54a48e0054ddff85251f8787") }
{ "_id" : ObjectId("54a48e0154ddff85251f8796") }
{ "_id" : ObjectId("54a48e0154ddff85251f8798") }
{ "_id" : ObjectId("54a48e0154ddff85251f879d") }
{ "_id" : ObjectId("54a48e0254ddff85251f87a5") }
{ "_id" : ObjectId("54a48e0254ddff85251f87ae") }
{ "_id" : ObjectId("54a48e0354ddff85251f87b7") }
{ "_id" : ObjectId("54a48e0454ddff85251f87c3") }
{ "_id" : ObjectId("54a48e0554ddff85251f87d8") }
{ "_id" : ObjectId("54a48e0554ddff85251f87d9") }
{ "_id" : ObjectId("54a48e0554ddff85251f87e5") }
{ "_id" : ObjectId("54a48e0554ddff85251f87ea") }
{ "_id" : ObjectId("54a48e0554ddff85251f87f8") }
{ "_id" : ObjectId("54a48e0554ddff85251f87f9") }
{ "_id" : ObjectId("54a48e0554ddff85251f880b") }
{ "_id" : ObjectId("54a48e0554ddff85251f880e") }
{ "_id" : ObjectId("54a48e0554ddff85251f8810") }
{ "_id" : ObjectId("54a48e0554ddff85251f8812") }
{ "_id" : ObjectId("54a48e0654ddff85251f881f") }
Type "it" for more
> db.my_collection.find({timestamp:{$gte:new Date(2015,0, 1)}}, {_id: 1})^C
bye
ubuntu@production-server:~$ mongodump --collection my_collection --db my_db --query '{"timestamp":{$gte: Date(1422748800000)}}'
connected to: 127.0.0.1
Thu Mar 12 10:22:35.296 DATABASE: my_db         to     dump/my_db
Thu Mar 12 10:22:35.301         my_db.my_collection to dump/my_db/my_collection.bson
Thu Mar 12 10:22:49.378                 Collection File Writing Progress: 100/27100726  0%      (objects)
Thu Mar 12 10:22:51.264                  1681071 objects
Thu Mar 12 10:22:51.264         Metadata for my_db.my_collection to dump/my_db/my_collection.metadata.json
ubuntu@production-server:~$ ls
dump
ubuntu@production-server:~$ du --max-depth=1 -h dump
379M    dump/my_db
379M    dump