Equation to express the effect of velocity on mass

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Discussion Overview

The discussion revolves around the quest for an equation that expresses the effect of velocity on mass, particularly in the context of universal gravity and its application to the three-body problem. Participants explore the relevance of velocity-dependent mass in modern physics, especially in relation to Special Relativity.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses a desire to find an equation that describes the effect of velocity on mass for a project related to universal gravity.
  • Another participant states that, in modern physics, mass is not affected by velocity, referencing early concepts in Special Relativity that have since evolved.
  • A participant questions whether it is possible to describe the effect of velocity on mass in a way that is both effective and contemporary, particularly for developing an algorithm for the three-body problem.
  • One reply cautions that the relativistic three-body problem is very complex, suggesting that starting with the two-body problem might be more manageable.
  • Another participant acknowledges that while there is no general way to describe the effect of velocity on mass, relativistic corrections may be applicable in specific cases, citing a reference for further reading.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the existence of a suitable equation. There are competing views regarding the relevance of velocity-dependent mass in modern physics, and the discussion remains unresolved regarding how to effectively incorporate velocity into mass for the intended application.

Contextual Notes

Limitations include the complexity of the relativistic three-body problem and the potential need for specific conditions or cases to apply relativistic corrections. The discussion does not resolve the mathematical steps or assumptions involved in these considerations.

Evenus1
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hello all. I am running a pet project that involves trying to get the equation for universal gravity to express the effect of velocity on the mass. (I don't want this equation as in trying to create it my self) however I cannot find an equation that describes the effect of velocity on mass.
any help on this issue would be greatly appreciated.
many thanks
Ewen
 
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In the modern way of doing things, mass is not affected by velocity. Early in the development of Special Relativity, people used a velocity-dependent mass, but that's not the way that most people do things today.
 
so is there no way in which I can describe the effect and still keep it effective and up-to-date?. as I am slowly trying to generate an algorithm to applied to the three body problem and I see this as the first step to this algorithm.
 
Not to be discouraging, but the relativistic 3-body problem is extremely difficult. The relativistic two-body problem is already very difficult. Maybe you should start with that?
 
Evenus1 said:
so is there no way in which I can describe the effect and still keep it effective and up-to-date?

Not in general. But it is possible to find relativistic corrections fore special cases, e.g. Olson, D.W.; Guarino, R. C. (1985). "Measuring the active gravitational mass of a moving object". American Journal of Physics 53 (7): 661.
 

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