Keppler's problem - motion of a planet in the orbit around the Sun, for problems 2...
As a planet orbits the Sun in an elliptical orbit, which of the following quantities is NOT conserved? a) the momentum p b) the angular momentum L c) the mechanical energy E = K + V d) All three of these quantities are conserved.
planet X travels in a circular motion orbit around the Sun. The radius of Planet X is twice that of Earth. The year on Planet X is 540 Earth years. The mass of Planet X is half that of Earth. The mass of the sun is 1.99*10^30 kg. The Earth's orbital distance from the Sun is 1.50*10^11 m.
- Astronomers discover an exoplanet (a planet of a star other than the Sun) that has an orbital period of 3.63 Earth years in its circular orbit around its sun, which is a star with a measured mass of 3.65×10^30 kg . Find the radius of the exoplanet's orbit. - In order better to map the surface features of the Moon, a 353 kg imaging satellite is put into circular orbit around the Moon at an altitude of 137 km....
Solve the following problems:
Problem 1: masses&springs Two masses mand m2 connected by a spring of elastic constant k slide on a frictionless inclined plane under the effect of gravity. Let a be the angle between the the x axis and the inclined plane, r the distance between the two masses, l the position of the first mass with respect to the top of the plane (see figure). Considering the top of the plane to be the zero for potential...
A satellite of mass m is in a circular orbit of radius R2 around a spherical planet of radius R1 made of a material with density ρ. ( R2 is measured from the center of the planet, not its surface.) Use G for the universal gravitational constant.A) Find the kinetic energy of this satellite, KExpress the satellite's kinetic energy in terms of G, m, π, R1, R2, and ρ.B) Find U, the gravitational potential energy of the satellite. Take the gravitational potential...
1 points SPreCalc7112.065.MI. My Notes Ask Your Teacher The planets move around the sun in elliptical orbits with the sun at one focus. The point in the orbit at which the planet is closest to the sun is called perihelion, and the point at which it is farthest is called aphelion. These points are the vertices of the orbit. A planet's distance from the sun is 207,000,000 km at perihelion and 249,000,000 km at aphelion. Find an equation for the...
A comet moves in a counter-clockwise orbit around the Sun. A portion of the orbit is shown below (Ignore all gravitational forces acting on the comet other than that by the Sun.) 2. C The position vector 7 of the comet at a time t is shown in the diagram at right. In the diagram, draw a vector dr representing the infinitesimal displacement of the comet between timet and time (t + dt) a. Sun r Show that the magnitude...
A planet is discovered to orbit around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sun, what will the period of revolution of that new planet be, compared to the Earth's orb o One-fourth as much o One-half as much Twice as much A. Four times much The average distance from the Earth to the Sun is defined as one "astronomical...
14.8. Kepler motion: In an appropriate coordinate system, the motion of a planet around the sun (considered as fixed) with the attractive force being propor tional to the inverse square of the distance z of the planet from the sun is given by the solution of the second-order conservative system with the potential function-İzl-1 for: * 0. Show that the orbits are closed curves if the total energy is negative. You can also show that they are ellipses by considering...
if the sun has mass of 1.989*10^30kg another planet rotating around it has mass 1.898*10^27kg use 6.67*10^-11 Nm^2/kg^2 as g constant 1)find angular momentum when planet is in orbit with the sun radius 7.786*10^8km 2)planet has radius 6.991*10^4km and makes one rotation around every 9.925 hours. find angular momentum when it spins about ots center of mass.