Recent content by Conclaude

  1. Conclaude

    Numerical Plot of Particle Orbits in Kerr Equatorial Plane

    Continuing the solution: I think the simplest way to solve it is to rearrange Equation 9 to get: \frac{f}{1 - \phi \frac{df}{dr}} = \frac{dr/d\tau}{d\phi/d\tau} \tag{11} Since df/dr is very small, \frac{f}{1 - \phi \frac{df}{dr}} ≈ f \tag{12} Then, substituting Equations 12 and 10b to...
  2. Conclaude

    Numerical Plot of Particle Orbits in Kerr Equatorial Plane

    Sir, I'm not actually sure. The only inspiration I had for imagining spiral orbits is the case of two slowly in-spiraling bodies. But now that I think about it, in that case, both bodies have a comparable gravitational effect on each other, while in this problem, the particle is assumed to have...
  3. Conclaude

    Numerical Plot of Particle Orbits in Kerr Equatorial Plane

    Thank you so much for the response, sir! I considered it when I was brainstorming for ways on how I could approach the problem. But I didn't know how I could mathematically relate r and φ to produce a general spiral orbit WHILE satisfying Equations 1 and 3. For example, off the top of my head...
  4. Conclaude

    Numerical Plot of Particle Orbits in Kerr Equatorial Plane

    Context: In James Hartle's Gravity, pp. 318-319, Example 15.1, he considers the case of a particle that starts falling from infinity into a Kerr black hole, initially with no kinetic energy (e = 1) and initially moving radially (ℓ = 0). The particle's motion is constrained along the equatorial...
  5. Conclaude

    Other Seeking Physics Undergrad Thesis Problem

    Alright guys, thank you so much. I guess I'll approach her again, and maybe post a new thread when I have further questions. :)
  6. Conclaude

    Other Seeking Physics Undergrad Thesis Problem

    Hi there! Thanks for responding. :D I did approach an adviser, but all she suggested was that I work on Relativistic Astrophysics. She also supplied me with some references that I could use to study General Relativity, and told me to continue studying. The only problem is that she hasn't really...
  7. Conclaude

    Other Seeking Physics Undergrad Thesis Problem

    Hi, I'm an undergraduate, currently enrolled in a degree program for Physics. Part of the requirements of the program is—you guessed it—a thesis. Now, I'm not really good with experimental physics, and aside from that, the university I'm currently enrolled at doesn't really have much equipment...
  8. Conclaude

    What interests you most about the intersection of physics and mathematics?

    Hello! My name is Conclaude. I'm nineteen (19) years old, and I'm from the Philippines. I've been studying Physics for four (4) years. Still not that experienced but willing to contribute whatever I can. So far, I'm quite fascinated with how Math just "fits in" in our physical reality. As for...
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