Question

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 at the star.

Answer #1

An extrasolar planet in orbit around a Sun-like star is
discovered using the Doppler wobble method. Based on the shape of
the radial velocity curve, the orbit is circular. The data are as
follows. Maximum velocity of the star: 6.3 meters / second Orbital
period: 541 days What is the mass of the extrasolar planet? Give
your answer in units of Jupiter masses.

An extrasolar planet in orbit around a Sun-like star is
discovered using the Doppler wobble method. Based on the shape of
the radial velocity curve, the orbit is circular. The data are as
follows.
Maximum velocity of the star: 6.3 meters / second
Orbital period: 541 days
What is the mass of the extrasolar planet? Give your answer in
units of Jupiter masses.

A newly discovered planet follows a circular orbit around a star
in a distant part of the galaxy. The orbital speed of the planet is
determined to be 43,400 m/s. The slower planet's orbital period is
2.40x10^8 s.
a. What is the radius of the orbit of the planet?
b. What is the mass of the star? (hint: is there a centripetal
force? If so, what force i causing the centripetal force?)

The planet Gliese 163 c, discovered in 2012, is a potentially
habitable world which is approxi- mately 7 times same mass as the
Earth, orbiting a small red dwarf star that is only 0.4 times mass
of the Sun. Completing its entire orbit in only a little over 25
days, Gliese 163 c orbits at a distance from its star at a speed of
1.78 times that of the speed of the Earth around the Sun.
Approximating that both the...

Two newly discovered planets follow circular orbits around a
star in a distant part of the galaxy. The orbital speeds of the
planets are determined to be 45.7 km/s and 64.2 km/s. The slower
planet's orbital period is 8.58 years. (a) What is the mass of the
star? (b) What is the orbital period of the faster planet, in
years?

Two newly discovered planets follow circular orbits around a
star in a distant part of the galaxy. The orbital speeds of the
planets are determined to be 43.8 km/s and 59.2 km/s. The slower
planet's orbital period is 8.07 years. (a) What is the mass of the
star? (b) What is the orbital period of the faster planet, in
years?

Two newly discovered planets follow circular orbits around a
star in a distant part of the galaxy. The orbital speeds of the
planets are determined to be 45.6 km/s and 51.5 km/s. The slower
planet's orbital period is 6.49 years. (a) What is
the mass of the star? (b) What is the orbital
period of the faster planet, in years?

Two newly discovered planets follow circular orbits around a
star in a distant part of the galaxy. The orbital speeds of the
planets are determined to be 45.3 km/s and 59.3 km/s. The slower
planet's orbital period is 7.80 years.
(a) What is the mass of the star? (kg)
(b) What is the orbital period of the faster planet, in years?
(yr)

Chapter 05, Problem 39
Two newly discovered planets follow circular orbits around a
star in a distant part of the galaxy. The orbital speeds of the
planets are determined to be 44.0 km/s and 60.5 km/s. The slower
planet's orbital period is 8.61 years. (a) What is
the mass of the star? (b) What is the orbital
period of the faster planet, in years?

Two planets P1 and P2 orbit around a star S in circular orbits
with speeds v1 = 43.8 km/s, and v2 = 58.6 km/s. A)
If the period of the first planet
P1 is 780 years what is the mass, in kg, of
the star it orbits around?B) Determine the orbital
period, in years, of P2. Please show each step
of the process

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