Can anyone please help me understand what is descibed bellow?
Scenario 1. We have a pair of atomic clocks. Let's call them clock A and clock B. We switch both of them on at the same time. Clock A will stay on Earth and clock B will go with the astronauts.
Astronauts with the clock B will accelerate in direction away from the Sun for 10 years (from the astronauts' perspective) at 1 g. Than they will start braking process that will take 1 year at 10 gs. After the braking process is finished, the astronauts are not moving away from Earth anymore. They turn around and head back to Earth. The travel back will be according to the same scenario. 10 years of acceleration at 1 g and braking 1 year at 10 g.
And the astronauts are (back) home on earth.
The time on clock B is 22 years. What time is on clock A?
Scenario 2 In opposite scenario (1 year of acceleration with 10 gs and 10 year of braking with 1 g, there and back) the astronauts will "travel to future" as the clock B shows 22 years while clock A 372...
So to ask more general question: If astronauts with clok B in scenario 1&2 always spend 22 years, use same energy and reach same maximum speed...But trave distance will be different. Will it have impact on time dilation? Does the way the energy is being distributed has any impact on the time dilation?