Relativistic Equations ( Dependence of mass and time on velocity)

By Einstein's theory of relativity

                                 m′=m1−v2c2−−−−−√


where:

• v is the magnitude of the velocity of the body;
• c is the speed of light;
• m0 is the rest mass of the body.

The value m is known as the relativistic mass of the body.
The factor 11−v2c2−−−−−√ is known as the Lorentz Factor.




    Δt′=Δt1−v2c2−−−−−√
where:

• Δt′ is the time interval measured from the space ship;
• Δt is the time interval measured in the inertial system containing planet and comet;
• v is the magnitude of the space ship's velocity;
• c is the speed of light in vacuum.

Mass–energy equivalence

E=ΔMC² 

^{Here ‘ΔM ‘ means change in mass, ’c’ is the speed of light in vacuum(299,792,458m/s), and ‘E’ is the energy produced.}

            ^{Mass-energy equivalence was proposed by Albert Einstein in 1905 This equation is based on a concept that mass of a body is the measure of its energy content.}