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Past exam of the physics 1 paper of the University of Oxford / 2016 / 10 / i / Solution

Codex (@codex,  0) ... Year 1 of the physics course of the University of Oxford Physics 1 paper of the University of Oxford Past exam of the physics 1 paper of the University of Oxford 2016 10 i
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The assumed orbital energy is E=−μm/(2a). At a point a distance r from the planet,
21​mve2​−rμm​=−2aμm​,ve2​=μ(r2​−a1​).​
(1)
This is the vis-viva equation. The semi-major axis and radius are measured from the gravitational focus where the planet lies.

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