Discussion Overview
The discussion focuses on modeling simple N-body systems within the context of relativistic dark flow, specifically a scenario where a planet orbits a star while experiencing relativistic velocities of approximately 0.8 to 0.9 times the speed of light. The conversation includes considerations for simulation tools, particularly Netlogo and C++, and explores the implications of relativistic effects on gravitational interactions.
Discussion Character
- Exploratory
- Technical explanation
- Debate/contested
- Mathematical reasoning
Main Points Raised
- One participant seeks guidance on building simulations of N-body systems in relativistic contexts, specifically using Netlogo initially and potentially switching to C++ for more computational power.
- Another participant suggests that the solar system dynamics without dark flow could be treated as a near-Newtonian two-body problem, inquiring about the existence of an analytic metric modified by dark matter flow.
- A different participant raises concerns that relativistic dark matter flow may invalidate typical approximations that assume non-relativistic velocities, expressing uncertainty about the implications for non-relativistic bodies.
- One participant expresses interest in existing relativity models, particularly for Mercury, and desires an N-body model that incorporates an additional uniform velocity.
- A participant references a paper by Folkner et al. as a potential starting point for N-body simulations, noting that it lacks the relativistic dark matter features desired. They provide excerpts discussing the translational equations of motion and gravitational acceleration derived from a post-Newtonian metric.
- The same participant mentions the PPN approximation and its discussion in textbooks, while expressing uncertainty about how the dark matter background affects its application.
- References to IAU recommendations and updates regarding the solar system metric are also suggested as potentially relevant to the discussion.
Areas of Agreement / Disagreement
Participants express a range of views regarding the modeling of N-body systems under relativistic conditions, with no consensus reached on the implications of relativistic dark flow or the applicability of existing models and metrics.
Contextual Notes
Participants highlight limitations regarding the assumptions underlying their discussions, particularly concerning the validity of approximations in relativistic contexts and the need for further exploration of relevant literature.