Solar System Dynamics, advice for a intern.

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SUMMARY

The discussion centers on a physics intern seeking guidance on solar system dynamics, specifically regarding the eccentricity induced on an Earth mass planet by a Jupiter mass planet in a specified orbital configuration. The intern has foundational knowledge in ordinary differential equations (ODE), calculus, and physics but lacks familiarity with the advanced mathematics and terminology required for the problem. Key resources mentioned include "Solar System Dynamics" by Murray and Dermott, particularly sections on secular terms and the two-body problem. The intern is encouraged to clarify specific areas of confusion to receive targeted assistance.

PREREQUISITES
  • Understanding of ordinary differential equations (ODE)
  • Familiarity with basic calculus concepts
  • Knowledge of introductory physics principles
  • Basic understanding of orbital mechanics and celestial dynamics
NEXT STEPS
  • Study "Solar System Dynamics" by Murray and Dermott, focusing on sections 6.9 and the two-body problem
  • Learn about the mathematical formulation of orbital mechanics, including eccentricity calculations
  • Research the concept of disturbing functions in celestial mechanics
  • Explore resources on perturbation theory in astrophysics
USEFUL FOR

Astronomy students, physics interns, and anyone interested in celestial mechanics and orbital dynamics will benefit from this discussion.

MLTstudent
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Hello Physics Forums Community,

I have completed ODE, 3 semesters of intro Calc, 3 semesters of intro physics, taking linear now.

I have recently gotten the opportunity to work on little projects with a professor of astrophysics at a university.
On the first meeting, the professor handed me two packets copied out of Solar system dynamics by Murray and Dermott; Section 6.9 on secular terms from the disturbing function chapter and a section from chapter 2 (the two body problem) on orbit in 3d space.

The first question given to me to get started : Given a Jupiter mass planet on a 3AU orbit with a eccentricity of 0.3 what is the eccentricity induced on a Earth mass planet on a 1AU, assume central body is 1 solar mass at (0,0,0)

I am profoundly confused on how to even begin to find a answer mainly because the mathematics and nomenclature necessary are assumed knowledge that I don't have, If anyone can tell me where to start as far as learning the needed math/theory to understand what's going on and what resources to use I would very much appreciate it.

Thank You, (MassLengthTime)mltstudnt
 
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Can you maybe narrow it down a little for us? Can you give examples of the mathematics and nomenclature you aren't getting? This'll help us figure out where to point you.
 
https://en.wikipedia.org/wiki/MoM-z14 Any photon with energy above 24.6 eV is going to ionize any atom. K, L X-rays would certainly ionize atoms. https://www.scientificamerican.com/article/whats-the-most-distant-galaxy/ The James Webb Space Telescope has found the most distant galaxy ever seen, at the dawn of the cosmos. Again. https://www.skyatnightmagazine.com/news/webb-mom-z14 A Cosmic Miracle: A Remarkably Luminous Galaxy at zspec = 14.44 Confirmed with JWST...

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