Question

A body in the solar system has a period of 10,759.22 days and a perihelion speed of 10.18 km/s.

a. Calculate the aphelion radius in nautical miles.

b. Calculate the eccentricity.

Answer #1

A new extrasolar planet (outside our solar system) has been
discovered. This planet orbits a star of mass 1.05×1031 kg with a
period of 6.52 years . It is also known that the planet has an
eccentricity of 0.674.
Part A: What is the average velocity of the planet in its orbit?
in m/s
Part B: What is the distance of closest approach to its parent
start (perihelion)? d.perihelion in m
Part C: What is the farthest distance the planet...

A comet of mass 2.20 ×1014 kg orbits the sun of mass 1.99 × 1030
kg with a period of 365 days/year on an elliptical orbit of
eccentricity 0.967.
a) Find the Perihelion and Aphelion, i.e. the closest and
farthest distance between the sun and the comet.
b) Find the linear speed of the comet at the Perihelion.

The planet Mercury has an orbital period of 87.97 days, and its
greatest distance (aphelion distance) from the Sun is 0.4667 AU
{where 1 AU " 1 Astronomical Unit = 1.496x1011 m}. The mass of the
planet Mercury is 3.302x1023 kg and the mass of the Sun is
1.988x1030 kg. (a) Calculate the eccentricity of planet Mercury’s
orbit around the Sun. ! (b) Calculate the highest speed of planet
Mercury as it orbits around the Sun?

Satellite X, a small moon of Planet X, has an orbital period of
1.77 days and an orbital radius of 4.22 x 10^5 km.
a) What is the mass of Planet X?
b) Assume that Satellite X moves in a circular orbit. What is
its orbital speed?
c) A small mass of m = 2.5 kg is dropped from rest from the
moon. What is its speed when it reaches the surface of Planet X,
whose radius is 71,492 km?...

You observe a star orbiting the massive object at the galactic
center at a speed of 1300 km/s in a circular orbit with a radius of
19 light-days. Calculate the mass of the object the star is
orbiting. Enter in solar masses.
Stars in the outskirts of a globular cluster are about 43 light
years from the cluster's center, and orbit at speeds of about 9
km/s. How massive is this cluster?
(answer in solar masses)
A star in the...

Suppose there were a planet in our Solar System orbiting at a
distance of 0.5 AU from the Sun, and having ten times the mass and
four times the radius of Earth. For reference, the Earth has a mass
of 5.97 × 1024 kg and a radius of 6,378 km.
a) Calculate the density of this hypothetical planet.
b) Based on your answer from part a), what do you think this
planet would be made of? Explain your reasoning.
c)...

14. Consider an artificial Satellite whose PERIGEE (closest
point to Earth) is 3000 miles above the Earth’s surface and whose
APOGEE (farthest point to Earth) is 4200 miles above the surface.
If we compare the satellite with Moon’s that is 239,000 miles far
from the Earth and its time period is 27.3 days. Find the time
period of the Satellite?
Note: Radius of Earth is 3960 miles and average distance
is
R = (Rmax + Rmin) / 2
15. If...

A star in the solar system gives of light with a frequency of
8.5×1014 Hz. If the star approaches Earth with a speed
of 170.0 km/s, what is the frequency of the light seen by someone
on earth?

The escape speed from an object is v2 = 2GM/R, where M is the
mass of the object, R is the object's starting radius, and G is the
gravitational constant 6.67 × 10-11 m3 kg-1 s-2. What is the
approximate escape speed, in km/s, from the Solar System starting
from an orbit at 0.6 AU? In this case, the mass of the Sun, 2.2e+30
kg, can be used as the mass of the Solar system.

You are the science officer on a visit to a distant solar
system. Prior to landing on a planet you measure its diameter to be
17000 km and its rotation period to be 22.8 hours. You have
previously determined that the planet orbits 240000000 km from its
star with a period of 500 Earth days. Once on the surface you find
that the free-fall acceleration is 11.8 m/s22. What is the mass of
the planet?
What is the mass of...

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