0
How can we calculate the mass of an object in orbit by using the period and radius of its orbit?
To calculate the mass of an object in orbit, we can use the period and radius of its orbit by applying Newton's version of Kepler's third law. This formula states that the square of the period of an orbit is proportional to the cube of the semi-major axis of the orbit. By rearranging this formula and plugging in the known values of the period and radius, we can solve for the mass of the object.
What else can I help you with?
How does the period change as the orbital radius increases in a celestial body's orbit?
As the orbital radius of a celestial body's orbit increases, the period of the orbit also increases. This means that it takes longer for the celestial body to complete one full orbit around its central object.
What additional information does Hannah need in order to calculate the tangential speed of the orbiting object?
To calculate the tangential speed of an orbiting object, Hannah would need to know the distance from the object to the center of the orbit (radius) and the time taken for the object to complete one full orbit. With this information, she can use the formula for tangential speed, which is tangential speed = 2πr / T, where r is the radius and T is the time taken for one orbit.
What happens to the period as the orbital radius increases in a planetary system?
As the orbital radius increases in a planetary system, the period of the orbiting object also increases. This means that the time it takes for the object to complete one full orbit around its central body becomes longer as the distance between them grows.
What is the circular orbit formula and how is it used to calculate the motion of objects in a circular path?
The circular orbit formula is used to calculate the speed of an object moving in a circular path. It is expressed as v (GM/r), where v is the velocity of the object, G is the gravitational constant, M is the mass of the central body, and r is the radius of the circular path. This formula helps determine the velocity needed for an object to maintain a stable orbit around a central body, such as a planet or a star.
What is MV2 equals E2r?
The equation MV^2 = E2r is used to calculate the kinetic energy of an object in circular motion, where M is the mass of the object, V is the velocity, E is the eccentricity of the orbit, and r is the radius of the circular path. It combines the concepts of kinetic energy and centripetal force in circular motion.
How does the period change as the orbital radius increases in a celestial body's orbit?
As the orbital radius of a celestial body's orbit increases, the period of the orbit also increases. This means that it takes longer for the celestial body to complete one full orbit around its central object.
What additional information does Hannah need in order to calculate the tangential speed of the orbiting object?
To calculate the tangential speed of an orbiting object, Hannah would need to know the distance from the object to the center of the orbit (radius) and the time taken for the object to complete one full orbit. With this information, she can use the formula for tangential speed, which is tangential speed = 2πr / T, where r is the radius and T is the time taken for one orbit.
What happens to the period as the orbital radius increases?
As the orbital radius increases, the period of the orbit also increases. This is because the gravitational force weakens with distance and it takes longer for the object to complete a full orbit at larger distances from the center of mass.
What is the relationship between the radius of orbit of a satellite and its period?
The relationship between the radius of orbit of a satellite and its orbital period is described by Kepler's third law of planetary motion. Specifically, the square of the period (T) of a satellite's orbit is directly proportional to the cube of the semi-major axis (r) of its orbit: ( T^2 \propto r^3 ). This means that as the radius of the orbit increases, the orbital period also increases, indicating that satellites further from the central body take longer to complete an orbit. This relationship holds true for any object in orbit around a central mass, such as planets or satellites around Earth.
What happens to the period as the orbital radius increases in a planetary system?
As the orbital radius increases in a planetary system, the period of the orbiting object also increases. This means that the time it takes for the object to complete one full orbit around its central body becomes longer as the distance between them grows.
What is the period when an object travels around another object?
orbit
What is the circular orbit formula and how is it used to calculate the motion of objects in a circular path?
The circular orbit formula is used to calculate the speed of an object moving in a circular path. It is expressed as v (GM/r), where v is the velocity of the object, G is the gravitational constant, M is the mass of the central body, and r is the radius of the circular path. This formula helps determine the velocity needed for an object to maintain a stable orbit around a central body, such as a planet or a star.
Why is Hubble space telescope orbiting earth faster than Space Station?
It doesn't orbit earth faster. The ISS is in a lower orbit with a period of 91 minutes compared to the Hubble's orbital period of 96-97 minutes. Orbital periods generally increase with orbit radius and speed in the orbit decreases with increasing orbit radius.
Calculte the radius of bohrs second orbit for He plus cation?
The formula to calculate the radius of the Bohr's second orbit is ( r = \frac{n^2h^2}{4\pi^2mkZe^2} ), where n is the orbit number, h is the Planck constant, m is the mass of the electron, k is the Coulomb constant, Z is the atomic number, and e is the elementary charge. For helium ion (He+), Z = 2. Plugging in the values, you can calculate the radius of the second orbit.
The period of the planet's revolution can be use to calculate the?
The period of a planet's revolution can be used to calculate its orbital radius or distance from the sun using Kepler's third law of planetary motion. It can also be used to determine the planet's orbital speed or velocity if its mass is known. Additionally, the period of revolution helps in predicting future positions of the planet along its orbit.
A geosynchronous satellite appears to remain over one spot on the earth its orbital radius is 4.23 x 107 calculate its speed in orbit?
If the satellite appears to remain motionless over one spot on the earth, then I don'tneed to know the radius or anything else about orbital mechanics to calculate its period.It had better be equal to the earth's rotation period of 23hours 56minutes and about 4 seconds.
What is MV2 equals E2r?
The equation MV^2 = E2r is used to calculate the kinetic energy of an object in circular motion, where M is the mass of the object, V is the velocity, E is the eccentricity of the orbit, and r is the radius of the circular path. It combines the concepts of kinetic energy and centripetal force in circular motion.
