Astronomy Math Questions Please help test tommorow?

Mike

New member
Given that the planet orbiting around the nearby star 51 Pegasi is about 20multiplied by as large as the Earth, but also 400multiplied by more massive, if you weighed 50 kilos here, on that planet you weigh:
50 kilos
200 kilos
16 kilos
100 kilos

Please tell me how you did that.

Compared to orbital velocity, escape velocity is about:
Over twice as great.
10% greater.
41% greater.
50% greater.

Using the data in the table, estimate the minimum possible distance between Mercury and Earth.

Mercury: Orbital Semi-Major Axis (a): 0.387
Orbital Period (P): .241
Orbital Eccentricity: .206
P^2 / a^3

Earth: everything 1.00 Eccentricity = .017


Geosynchronous satellites orbit about four earth radii above our equator. There the earth's gravitational force is how many g's?
9 g
1/4 g
1/16 g
4 g

please show me how you figured that out

Halley's comet has a perihelion distance of 0.6 AU and an orbital period of 76 years. What is the aphelion distance of Halley's comet from the Sun?

Please show me how to do that

I'm not just trying to get the answers, I need to know how to do this and I can't figure it out I've googled it and looked in my book and I can't find how to do this...
 
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