Joining the effort to drag this forum back in the direction of science, perhaps someone could help me to get to grips with the following.
“If a heavy object with rest mass M moves past you with a velocity comparable to the speed of light, you will be attracted gravitationally towards its path as though it had an increased mass.”No problem so far. I assume this is due to the mass/energy equivalence.
“If the relativistic increase in active gravitational mass is measured by the transverse (and longitudinal) velocities which such a moving mass induces in test particles initially at rest near its path, then we find, with this definition, that M (rel) = gamma (1+beta sq.)M.”The maths got the better of me at this point. How are gamma & beta defined?
Would I be right in thinking that the active gravitational mass is the mass that gives rise to gravity, as distinct from the passive gravitational mass, which is acted upon by gravity? Is there really a difference?
“Therefore, in the ultrareletavistic limit…”What is the ultrareletavistic limit?
“…the active gravitational mass of a moving body, measured in this way, is not gamaM but is approximately 2gamaM.”How does one arrive at this answer?.
As simply as possible please.
