Salaah on a Conveyance

Salaah while travelling on an aeroplane

Q: I have a question regarding a person travelling through different time zones? How does one go about determining what Salaah to perform when if they are travelling from one time zone to another? For example a person intends to travel from New York city to India. A person travelling from New York city to India or a surrounding country will have lost a day in this journey. I am writing a more clear example related to my question, please kindly advise me.

I board the airplane after performing Esha salaah in New York city, it will travel via Dubia to India. When I arrive to Dubia/India, I will have lost a day. My questions are as follows:

  1. Whilst the plane is in the air, what salaah do I perform (bear in mind that I performed my esha before boarding in New York city)?
  2. How do I calculate the salaah times since the plane will be travelling over different countries and time zones?
  3. Can a person perform salaah whilst they are seated in their seats even though they have ability and facility to perform it in normal position in the plane?

Any other clarification or explanation or additional information will be appreciated concerning this question.