Properties of Circular Orbits for a Satellite Orbiting a Planet of Mass M

The motivation for Isaac Newton to discover his laws of motion was to explain the properties of planetary orbits that were observed by Tycho Brahe and analyzed by Johannes Kepler. A good starting point for understanding this (as well as the speed of the space shuttle and the height of geostationary satellites) is the simplest orbit--a circular one. This problem concerns the properties of circular orbits for a satellite orbiting a planet of mass M.

The motivation for Isaac Newton to discover his laws of motion was to explain the properties of planetary orbits that were observed by Tycho Brahe and analyzed by Johannes Kepler. A good starting point for understanding this (as well as the speed of the space shuttle and the height of geostationary satellites) is the simplest orbit--a circular one. This problem concerns the properties of circular orbits for a satellite orbiting a planet of mass M.

A. Find the orbital speed for a satellite in a circular orbit.

B. Find the kinetic energy of a satellite in a circular orbit.

C. Find the magnitude of the angular momentum of the satellite with respect to the center of the planet.

D. Represent the physical quantities characterizing the orbit that depend on the radius. Indicate the exponent (power) of the radial dependence of the absolute value of each.

A satellite of mass 830 kg orbits a planet of unknown mass at a distance of 29100 km from the planet's center. The orbital velocity of the satellite is 14200 m/s.
* What is the mass of the planet?
* How much would potential energy (PE) and kinetic energy (KE) of this satellite change as the satellite moved from a circular

1. A 8754-kg satellite is orbitingplanet Y at an altitude of 1.69x10^6 meters above its surface and with an orbital period of 15.2 hours. If the planet has a mass of 8.19x10^24 kg, then determine the radius of planet Y.
2. Suppose the earth had another moon which was 1.69 times as far from the center of the earth as our own

In 2004 astronomers reported the discovery of a large Jupiter-sized planetorbiting very close to the star HD 179949 (hence the term "hot Jupiter"). The orbit was just (1/9) the distance of Mercury from our sun, and it takes the planet only 3.09 days to make one orbit (assumed to be circular). What is the mass of the star? Expre

For a circular orbit around a massive gravitating body, the speed depends on the radius according to Equation 8.3; for elliptical orbits, the speed varies according to the equation V squared=2GM{(1/r)-(1/2a)}, where r is the distance from the massive body and a is the semi major axis of the ellipse(i.e., half the sum of the clos

On October 15, 2001, a planet was discovered orbiting around the star HD68988. Its orbital distance was measured to be 10.5 million kilometers from the center of the star, and its orbital period was estimated at 6.3 days.
Part A: What is the mass of HD68988? (M = ? kg)
Part B: Express your answer in terms of our sun's mass

You detect a star that appears to be moving in a circle with a velocity of 20m/s and a period of 70 days. It is assumed this motion is due to the gravitational force by a planetorbiting the star. The mass of the star is 2*10^30kg. Determine the mass of the planet and its orbital radius.

Problem 12.16
Part A
What is the acceleration due to Earth's gravity at a distance from the center of the Earth equal to the orbital radius of the Moon?
ANSWER: = Answer not displayed
Problem 12.12
Suppose that three astronomical objects (1, 2, and 3) are observed to lie on a line, and that t