Question

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?

Answer #1

A comet of mass 1.20 ✕ 1010 kg moves in an elliptical
orbit around the Sun. Its distance from the Sun ranges between
0.200 AU and 62.0 AU. (Note: 1 AU = one astronomical unit = the
average distance from the Sun to Earth = 1.496 ✕ 1011
m.)
(a) What is the eccentricity of its orbit?
(b) What is its period? ______yr
(c) At aphelion what is the potential energy of the comet-Sun
system? _____J

The square of the orbital period of a planet is proportional to
the cube of its distance from the Sun. This is expressed in the
formula T^2=a^3, where T is time, measured in years, and a is
distance, measured in astronomical units (1 astronomical unit is
the mean distance of Earth from the Sun). Use this information to
answers questions 7-9.
7) Express a as a function of T. Express T as a function of
a.
8) Pluto's orbital period...

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?...

An astronomer says she has detected a planet with an orbital
period of 3 years in orbit around a star that is 3 times the mass
of the Sun. What is the orbital radius for this planet (in AU)? (1
mark)
b) Soon after this announcement, another astronomer says he has
found a planet in the same system that has a period of 2 years and
an orbital radius of 2 AU. Do you believe his figures? (1 mark)
c)...

A new planet has been discovered. This planet has an
eccentricity of 0.664 and orbits a star of mass 8.72×10^30 kg with
a period of 5.72 years.
1. What is the semi-major axis of the planet's
orbit?
2. What is the average velocity of the planet in its
orbit?
3. What is the distance of closest approach to its
parent start (perihelion)?
4. What is the farthest distance the planet travels away
from its parent start (aphelion)?

Astronomical observations of an extrasolar planet indicate that
it has a mass of 3.25 × 1025 kg and orbits a star at a distance of
1.50 × 108 km. The star has a mass of 5.70 × 1029 kg. You may
assume a circular orbit. What is the planet's orbital period in
Earth years? Use 1 year = 365 days. What is the planet's orbital
speed in km/s?

A planet requires 230 (Earth) days to complete its circular
orbit around its sun, which has a mass of 2.4 x 1030 kg.
What are the planet's (a) orbital radius and
(b) orbital speed?

A planet orbits a star of mass 8.72×10^30 kg with a period of
5.72 years. It is also known that the planet has an eccentricity of
0.664.
Give Answers in Meters
1. What is the semi-major axis of the planet's
orbit?
2. What is the average velocity of the planet in its
orbit?
3. What is the distance of the closest approach to its
parent start (perihelion)?
4. What is the farthest distance the planet travels away
from its parent...

Planet Yoyo is discovered to orbit around a star with 5 times
the mass of our Sun. It orbits at a distance of 7 AU in a circular
orbit. The orbital period is measured to be 8 years. Find:
1) The mass of the planet. Give the answer in both solar masses
and kilograms
2) The mass of the star in kilograms
3) The distance of the planets orbit in meters.
4) The force due to gravity between the planet...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 3 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago