3. Describe a Hohmann transfer that connects the orbit of the Earth with the orbit of Saturn.
What are the necessary ??'s? How long does it take to get to Saturn? 4. What is the escape
velocity for the Earth, Moon, and the other planets? If a body has speed equal to or greater than
the escape velocity will it always escape from the planet's gravi 5. What is the Schwarzschild
radius for the Sun? The Earth? 6. What are the angular momentum and orbital energy of a
Molniya orbit? 7. A comet has an orbital period of 60 years and eccentricity ?=0.75. Describe its
orbit. 8. A space station is in the shape of a giant wheel 30 m in radius. The station spins so that
people on its rim feel a fictitious gravitational force. How fast should it spin to simulate the
gravity on Earth? How much of the Earth's surface is visible to a satellite in a Molniya orbit at
apogee? 9. 10. Where is the Earth-Sun L2 point? How would you go about returning to Earth if
you 11. In 500 BC, the point of Aries was in the middle of the constellation Aries (hence the 12.
Where is the Roche limit for the Sun-Earth system? Should you worry about this? were on a
space station at the L5 point? name). Where is it now? How long before it is really the dawning
of the age of Aquarius?
Solution
You have posted too many questions.....Please follow rules..
3. The orbital distance from earth to saturn is arounf 9.5 AU . The hohmmaan burn speed is 10.3
Km/s The transfer orbit lengh is around 13.4 AU. It will take around 2230 days through
hohmann transfer from earth to saturn. The arrival velocity will be 5 km/s
4. Escape velcoity
Yes, it will escape.
5. Sun has a Schwarzschild radius of 3.0 km whereas Earth's is about 9.0 mm
6.
Planet name v (km/s)
Earth 11.2
Moon 2.4
venus 10.4

mars 5
mercury 4.3
Jupiter 59.5
Saturn 35
Neptune 23
Pluto 1.3