Could I do the question this way:
Suppose:
- Ks is the minimum kinetic energy required to escape (relative to the mass center of the sun);
- Ke is the minimum kinetic energy required to escape (relative to the mass center of the earth);
- Ps is the potential energy from the sun
- Pe is...
Yes, it makes sense. I would try this way. Thank you.
In addition, I believe the rotation of the Earth should not be considered as what the question mentioned
"Take into consideration the gravitational effects of both the Earth and the sun, and include the effects of the Earth's orbital speed"...
Well... yes. Actually, I tried it once, but I still failed. However, I really found the velocity escape from Sun is really much larger. Hence, could I make such a conclusion:
the velocity of the ship relative to the Sun is the escape velocity from the Sun??
Whatever, thanks a lot!
First, I am sorry that I did not show my attempt clearly. This is my first time to post a homework thread. Sorry again!
And then here are my attempt.
First of all, I take:
mass of Sun: M = 1.99 x 1030 kg
mass of Earth: m = 5.97 x 1024 kg
orbit radius of the Earth: 1.50 x 1011 m
Then...
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