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How can you prove by using Kepler's Law that the linear velocity of a planet varies as the square root of the mean distance from the Sun?
It doesn't. It varies inversely as that square root.
Here's how I did it:
T = time for a planet's revolution
R = mean distance from the sun
K = some konstant, any konstant
V = planet's linear speed
Kepler's 3rd law: T2/R3 = K . . . . . T2 = K R3
But T = orbital circumference/V , so (2 pi R/V)2 = K R3 , and (2 pi/V)2 = K R
Divide ' 1 ' by each side:
(V/2 pi)2 = 1/K R or V2 = 1/K R (new konstant)
V = K sqrt( 1/R )
qed
What else can I help you with?
Is anything 4.3 billion km?
The approximate distance from the Earth to the outermost planet, Neptune.
Quadratic functions in real life?
The orbit of a satellite, planet, moon, or comet.The interaction of a charged particle in the vicinity of the nucleus of an atom.The trajectory of a baseball, bullet, or missile.The dropping of a rock from a bridge.Skydiving. (At least, up to terminal velocity.)etc., etc., etc.
How many feet is 1 atmosphere?
An atmosphere cannot be measured as a general thing. Atmospheres vary in thickness and coverage, because an atmosphere only covers the planet it is over. The smaller the planet, the smaller the atmosphere. The thickness varies greatly from planet to planet, too. Thus, it is impossible to measure atmospheres as one general, fixed-size object.
planet spelled in inverse order?
tenalp
Is Uranus 9 8 7 6 5 4 3 2 1 biggest planet?
Uranus is the third largest planet after Jupiter and Saturn.
How big will a planet be if it is located far from the sun?
The size of a planet is not related to it's distance from the sun. Planet mass and orbital velocity are factors that determine it's distance from the sun.
What is the Position of planet defined by angular distance from last perihelion called?
An anomaly refers to the position of a planet or satellite that is defined by its angular distance from its last perihelion. It is considered an irregularity in the motion of a planet or satellite.
How is a planets distance from the sun affects its velocity?
The farther a planet is from the sun the slower its orbit speed.
What is planetary velocity?
Planetary velocity refers to the speed at which a planet moves along its orbit around the Sun or another celestial body. It is influenced by the planet's distance from the central body and governed by the laws of gravity and motion. The velocity of a planet is not constant throughout its orbit, as it changes based on its position and the gravitational forces acting upon it.
What is the point at which a planet is at its smallest distance from the sun in its orbit?
The point at which a planet is at its smallest distance from the sun in its orbit is called perihelion. This is when the planet is closest to the sun and moving at its highest velocity in its orbit.
Which planet has the lowest orbital velocity?
Pluto is the planet that has the lowest orbital velocity relative to that of the earth. The orbital velocity of Pluto is 0.159.
The size of a planet's orbit is determined by?
The size of a planet's orbit is primarily determined by its distance from the star it orbits, as well as the planet's mass and the characteristics of the star. The orbiting planet's velocity and gravitational interactions with other bodies in the system also play a role in determining the size of its orbit.
What is newtons version of Keplers 3rd law?
Newton's version of Kepler's Third Law states that the square of the period of revolution of a planet around the Sun is directly proportional to the cube of its average distance from the Sun. It can be expressed mathematically as T^2 ∝ r^3, where T is the period and r is the average distance.
Why would escape velocity be different on a different planet?
The escape velocity is determined by the gravity of the planet which in turn is determined by the mass and size of the planet
How do you calculate the velocity of any planet?
That depends what information is known! For instance, if you know the semi-major axis (which is, roughly speaking, the average distance from the Sun), you can work it out using Kepler's Third Law.
If a spacecraft traveled in the escape velocity for 3 days. How far would it travel?
The distance traveled would depend on the spacecraft's speed and the escape velocity of the planet. The formula to calculate the distance traveled with constant acceleration is D = (1/2)at^2, where D is distance, a is acceleration, and t is time. By plugging in the values, you can find the distance traveled.
Which planet has an orbit the same as the Moon's orbit around the Earth?
It's not exactly obvious what this question means, but I would say there is no such planet in our solar system. The Moon has an average distance of 381,000 km and goes round in 29 days so its velocity is 0.96 km/sec. For a planet to have the same orbital velocity its distance would have to be 371 astronomical units, in other words about 120 times as far as Neptune.
