#### Orbital radius equation

## What is the orbital radius?

A planet’s orbital radius is its average distance from the sun. The planetary radius is the distance between a planet’s center and its surface. Therefore, planetary radius is a measure of a planet’s size.

## How do you find the radius of an exoplanet?

By noting the time between the first and last dips in a light curve along the x-axis and dividing by the number of dips, the period of the exoplanet can be obtained. Measuring the drop in brightness along the y-axis allows calculation of the radius of the exoplanet and subsequently its volume.

## How do you calculate the orbital period of AU?

If the size of the orbit (a) is expressed in astronomical units (1 AU equals the average distance between the Earth and Sun) and the period (P) is measured in years, then Kepler’s Third Law says P2 = a3. where P is in Earth years, a is in AU and M is the mass of the central object in units of the mass of the Sun.

## What is the orbital radius of the moon?

Orbital radius of the Earth around the Sun: 1.5 x 10^{11} m. Radius of the moon: 1.7 x 10^{6} m. Orbital radius of the Moon around the Earth: 3.48 x 10^{8} m.

## How do you find the Bohr orbital radius?

The allowed electron orbits in hydrogen have the radii shown. These radii were first calculated by Bohr and are given by the equation rn=n2ZaB r n = n 2 Z a B .

## What is a radial velocity curve?

The maximum radial velocity tells you how fast a star is moving in its orbit around the centre of mass. You can read that off the radial velocity curve – it’s the value at the top of the peak. If you know the mass of the star, combining this with the measured orbital speed allows you to work out the mass of the planet.

## What does radial velocity measure?

The radial velocity of an object with respect to a given point is the rate of change of the distance between the object and the point. That is, the radial velocity is the component of the object’s velocity that points in the direction of the radius connecting the point and the object.

## What is the biggest exoplanet in the universe?

The widest known exoplanet, HAT-P-67 b, is a gas giant spanning twice the diameter of Jupiter, but it orbits so closely to its star that its year lasts less than five Earth days. The largest planet discovered to date, that astronomers are sure is a planet and has an accurately measured diameter, is HAT-P-67 b.

## What is the formula for orbital period?

Formula: P^{2}=ka^{3} where: P = period of the orbit, measured in units of time. a = average distance of the object, measured in units of distance. k = constant, which has various values depending upon what the situation is, who P and a are measured.

## What happens to the period as the orbital radius increases?

Analyze: How does the period change as the orbital radius increases? The period changes as the orbital radius increases by the period increases as well.

## What is Jupiter’s orbital period?

12 years

## What is the mass and radius of the moon?

1) The radius of the moon is 1.74 x 10^{6} m. The mass of the moon is 7.35 x 10^{22} kg.

## Is Star bigger than Moon?

So, whenever you have chosen to adopt a star, you know that even the smallest one is still bigger than the Moon or anything beyond your understanding. Stars are larger than planets or anything else in the Universe and they don’t consist of solid materials like the Moon.