- Award ID(s):
- 2005818
- PAR ID:
- 10513378
- Publisher / Repository:
- ASEE Conferences
- Date Published:
- Journal Name:
- Proceedings of the 2023 American Society for Engineering Education Annual Conference and Exposition
- Format(s):
- Medium: X
- Location:
- Baltimore , Maryland
- Sponsoring Org:
- National Science Foundation
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We consider a (very) simple version of the restricted three body problem in general relativity. The background geometry is given by a Schwarzschild solution governing the motion of two bodies of masses $m_1$ and $m_2$. We assume that corrections to the trajectory of the body of mass $m_1$ due to the presence of the mass $m_2$ are given by a Newtonian approximation where Poisson's equation is solved with respect to the Schwarzschild background geometry. Under these assumptions, we derive approximate equations of motion for the corrections to the trajectory of the body of mass $m_1$.more » « less
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