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  1. Z

    Relative speed of orbiting rockets in Schwarzschild metric

    I know the norm of any 4-vector is Lorentz invariant, but the only expression which comes to mind that contains the gamma factor would be the energy. E=-\vec{p}\cdot\vec{e_t}=m\gamma I guess the mass from the momentum ##\vec{p}## and from the right hand side would cancel.
  2. Z

    Relative speed of orbiting rockets in Schwarzschild metric

    Using the mass-energy equivalence principle? E^2-\vec{p}\cdot\vec{p}=m^2
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    Relative speed of orbiting rockets in Schwarzschild metric

    Proper time of B in A's frame ? Isn't the notion of proper time tied to one reference frame ? i.e. there is just one proper time of B: that measured by B. Or do you mean "how would A compute the proper time of B?" In which case I would guess by creating two new 4 velocity vectors, one in which A...
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    Relative speed of orbiting rockets in Schwarzschild metric

    I would think it is the ratio between the two as I previously posted. That would measure how the proper time of A ellapses relative to the proper time of B.
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    Relative speed of orbiting rockets in Schwarzschild metric

    I already did that, see my first post in the attempt at a solution part.
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    Relative speed of orbiting rockets in Schwarzschild metric

    The γ factor is dt/dτ, which is the time-component of the 4-velocity. I have already expressed it above in the derived equations.
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    Relative speed of orbiting rockets in Schwarzschild metric

    Actually I am not sure what that means ... Is it just: \frac{\gamma_B}{\gamma_A}=\frac{(\mathrm{d}t/\mathrm{d}\tau)_B}{(\mathrm{d}t/\mathrm{d}\tau)_A}
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    Relative speed of orbiting rockets in Schwarzschild metric

    Homework Statement Two rockets are orbiting a Schwarzschild black hole of mass M, in a circular path at some location R in the equatorial plane θ=π/2. The first (rocket A) is orbiting with an angular velocity Ω=dΦ/dt and the second (rocket B) with -Ω (they orbit in opposite directions). Find...
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    Deriving equation of potential energy of H2

    Homework Statement Derive the equation for the potential energy of a system of 2 hydrogen atoms as a function of internuclear distance. Homework Equations For electron/electron and nucleus/nucleus repulsion: V_E=\frac{e^2}{4\pi\epsilon_0 R} For electron/nucleus attraction...
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    Engineering Engineering physics or Mathematical physics

    Thanks for the heads up! I'll pay attention to this next year ;) Thanks to all of you who helped me, it's really appreciated. I think I'll stay with engineering physics for a year, and then switch to mathematical physics if I really don't like it... I'll nevertheless register for the...
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    Eigenvalues proof

    Try to write A in terms of B (or the other way around), and see what you get!
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    Engineering Engineering physics or Mathematical physics

    @elkement: Well actually, the only talk that has been given is the one I mentioned: the girl who went from ME to MP. According to what she said, physicists are needed in the industry, but less than engineers. However, she said that it compensates given that more than 200 engineers graduate every...
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    Engineering Engineering physics or Mathematical physics

    @ParticleGirl: I guess you're right, engineering seems the right path to follow and as you said I could always learn theory on my own! @AlephZero: I can see your point of view, but I'm not worried about my future job for one reason. Not because I won't have any ambition or motivation as you...
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    Engineering Engineering physics or Mathematical physics

    Well, the way I see things is that I'm really more interested in the "learning" rather than the "working". So I would just like to study physics and mathematics and have a good understanding of the universe. That's what really fascinates me. However, once I get my degree, I wouldn't mind working...
  15. Z

    Engineering Engineering physics or Mathematical physics

    Hi and thanks again to elkement and ParticleGirl for your precious answers ! I indeed know that you don't specifically have to work in the domain you've majored in (I talked with a physics professor, and he told me that one of his students did his Ph.D in astrophysics, and is yet working in...
  16. Z

    Engineering Engineering physics or Mathematical physics

    Hi, Thanks for you answers, and I understand I wasn't very clear. Actually, I don't think (I might be wrong though ...) I can work in insurance or finance with a degree in math-physics. There are majors in statistics, finance, actuarial, etc. specially designed for this kind of jobs. I...
  17. Z

    Engineering Engineering physics or Mathematical physics

    Hi Ryker and thanks a lot for your time and answer! I totally agree with you when you say that everyone should do what he wants, and I can assure you that the money is not the problem (if I'm guaranteed to find a job in MP, even 2-3 times less paid than EP, I would take the former). One option...
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    Engineering Engineering physics or Mathematical physics

    Hi, So I'm with a real dilemma and I only have a few days to make a choice. My situation is the following: I'm 18 years old and next year I'm going to start university in Canada (Montreal). I have already applied in engineering physics and got accepted. However, the problem is that I'm really...
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