4) Imagine that the following equation is written down in your notebook. v2 e = 2a - 2 r2 You know it describes the orbital specific energy (energy/mass) of an object based on its speed v, its orbital semi-major axis (length) a, and its current distance from the orbit center, r. It also includes the gravitational parameter u. Is the equation correct? Is it dimensionally consistent? If not, see if you can change a single exponent to fix the
4) Imagine that the following equation is written down in your notebook. v2 e = 2a - 2 r2 You know it describes the orbital specific energy (energy/mass) of an object based on its speed v, its orbital semi-major axis (length) a, and its current distance from the orbit center, r. It also includes the gravitational parameter u. Is the equation correct? Is it dimensionally consistent? If not, see if you can change a single exponent to fix the
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Transcribed Image Text:4) Imagine that the following equation is written down in your notebook.
v2
e =
2а
r2
You know it describes the orbital specific energy (energy/mass) of an object based on its
speed v, its orbital semi-major axis (length) a, and its current distance from the orbit
center, r. It also includes the gravitational parameter u. Is the equation correct? Is it
dimensionally consistent? If not, see if you can change a single exponent to fix the
equation. I guess you copied the equation down incorrectly, but you used dimensional
analysis to fix it.
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