Answer:
- Bigger mass of planet B
- orbiting closer to planet B
Explanation:
The orbital velocity of the vessel around the planet can be found by equalizing the force of gravity between the vessel and the planet and the centripetal force:
![G\frac{mM}{r^2}=m\frac{v^2}{r}](https://tex.z-dn.net/?f=G%5Cfrac%7BmM%7D%7Br%5E2%7D%3Dm%5Cfrac%7Bv%5E2%7D%7Br%7D)
where
G is the gravitational constant
m is the mass of the vessel
M is the mass of the planet
r is the distance between the vessel and the centre of the planet
v is the orbital velocity of the vessel
Re-arranging the formula, we find an expression for v:
![v=\sqrt{\frac{GM}{r}}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cfrac%7BGM%7D%7Br%7D%7D)
We see that:
- the bigger the mass of the planet, M, the bigger the velocity
- the bigger the distance between the vessel and the planet, r, the smaller the velocity
So, the correct choices that increase the orbital velocity are:
- Bigger mass of planet B
- orbiting closer to planet B