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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 $$m_1$$.
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A global ocean biogeochemical observatory becomes a reality
Building on the successful Argo network of seafaring temperature and salinity sensors, work is underway to deploy 1,000 floats equipped to study ocean biogeochemistry in greater detail than ever.
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- PAR ID:
- 10322340
- Date Published:
- Journal Name:
- Eos
- Volume:
- 103
- ISSN:
- 2324-9250
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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- Free Publicly Accessible Full Text
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Accepted Manuscript1.0
- Journal Article:
- https://doi.org/10.1029/2022EO220149
