What will be the economical cost to have your ex-wife (or husband) having one year more than you do? If you where the same age...

 

Im beginning calculation right mow, it may take some time

The VASIMR Rocket: (https://en.wikipedia.org/wiki/Variable_Specific_Impulse_Magnetoplasma_Rocket)

Results presented in January 2011 confirmed that the design point for optimal efficiency on the VX-200 is 50 km/s exhaust velocity, or an I_sp of 5000 s

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For now Im taking the relativistic equation:  As a basis for calculation.

This equation come from: 

In the frame in which the clock is at rest (diagram on the left), the light pulse traces out a path of length 2L and the period of the clock is 2L divided by the speed of light:

 

From the frame of reference of a moving observer traveling at the speed v relative to the resting frame of the clock (diagram at right), the light pulse is seen as tracing out a longer, angled path. Keeping the speed of light constant for all inertial observers, requires a lengthening of the period of this clock from the moving observer's perspective. That is to say, in a frame moving relative to the local clock, this clock will appear to be running more slowly. Straightforward application of the Pythagorean theorem leads to the well-known prediction of special relativity:

The total time for the light pulse to trace its path is given by

The length of the half path can be calculated as a function of known quantities as

Elimination of the variables D and L from these three equations results in the relativistic equation first mentioned. 

 

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The rocket equation: https://en.wikipedia.org/wiki/Tsiolkovsky_rocket_equation

where:  g₀ = 9.8 m/s² and I_sp = 5000 second, first assumption for the VASIMR

m₀ = Initial mass and m_f = final mass

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Edited April 6, 20187 yr by MaximThibodeau

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Moderator Note

What does the rocket have to do with the relativity derivation?

 

With a spacecraft of 13 500 kg with food and water, and a engine of mass 3000 kg: we could in theory achieve 1 second every 2 years, so 1 minute is achievable in lifetime

Just now, swansont said:

What does the rocket have to do with the relativity derivation?

Its to put relativity in context, in a funny learning experience.

15 minutes ago, MaximThibodeau said:

 Its to put relativity in context, in a funny learning experience.

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Moderator Note

This is a place to have discussions and ask questions. It's not a blog. 

 

2 minutes ago, swansont said:

This is a place to have discussions and ask questions. It's not a blog.

 Let have a discussion, how to improve this concept, by increasing the results ?