Here are the ones I've found so far:
The Smartha sect of Adi Shankaracharya says "Sri Parameshwara Prityartam" or "Parvati Parameshwara Prityartam", meaning for the pleasure of Sri Parameshwara or Parvati Parameshwara, both names of Shiva.
The Thenkalai sub-sect of the Sri Vaishnava sect says "Sri Bhagavat Agna, Bhagavat Kainkarya Rupam", meaning by the ...
It gives current time and location of performer starting from lifetime of Brahma and place in Anda-Kataha.
Detailed answer in this blog :
Dviteeya parardhe - in the 2nd half of Brhama's life
Svetavaraha kalpe - in the kalpa of Sveta-Varaha
Vaivaswatha manvantare - in the reining period of current manu Vaivaswatha
Ashta Vimsati tame - in the 28th mahayuga ...
Yes, jambu dweepe, bharata varshe, dandakaranye, godavaryah dakshine teere, etc. denote the location.
Here are two pages with substitutes for USA.
For the USA:
Krouncha Dweepe: In the island called ...
The Vadakalai Sankalpam:
Sri Bhavatagya sriman Narayana preethiyartham ~ "By the command of Bhagavat, (I do this act) for the pleasure of Lord Narayana". [Prītyā=sans. joy, pleasure]
Since the Vadakalai Sankalpam is practically identical to the smarta in construction, we'll take that as the standard, and let's consider why the tenkalai sankalpam is ...
The above answer is a very good explanation of the "Nitya Sankalpam", which is chanted on a daily basis for nitya karmas.
However, the "Maha Sankalpam" actually describes the Brahmanda, as created by Brahma himself. This is chanted on special occasions, and is rarely heard these days.
The first one is the correct one.
mama + upātta samasta duritakṣayadvārā śrī parameśvara prītyartham
mama + upātta = mamopātta
upātta is to acquire.
partha is name of arjuna and other meanings can also be said. but the correct one is mamopatta.
The meaning of the line goes as To please lord parameshwara, mama upaata = given to me or obtained by me, ...
Since you live in Asia, it is still jambu dweepa.
Jambu Dweepa is divided into 9 Varsha:
Bangkok will come under Bharatha varsha, bangkok khande... could be the choice
Partha means that matter which belongs to earth (prithvi). Once the Prana leaves the body we call it Parthiva shareera. Arjuna represents that Jeevatma and hence he is also called Partha and Krishna being the charioteer of this Partha (Jeevatma) he is called Parthasarathy.