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It does not. sin3 i is the factor between the unknown actual sum of the masses and the quantity you can observe.kdlsw said:
Kepler's Laws are three fundamental rules that describe the motion of planets around the sun. They were discovered by the German astronomer Johannes Kepler in the early 17th century.
The sin[SUP]3[/SUP] i term is a mathematical term that appears in Kepler's Third Law, which states that the ratio of the cube of a planet's orbital period to the square of its semi-major axis is constant for all planets in our solar system. The sin[SUP]3[/SUP] i term represents the inclination of a planet's orbit, or the angle between the plane of its orbit and the plane of the Earth's orbit around the sun.
The sin[SUP]3[/SUP] i term is calculated using trigonometry. It involves taking the sine of the inclination angle (i) and cubing the result. This value is then used in Kepler's Third Law equation to determine the relationship between a planet's orbital period and semi-major axis.
The sin[SUP]3[/SUP] i term is significant because it allows scientists to accurately predict the orbital period of a planet based on its distance from the sun and the angle of its orbit. It also helps to explain the variations in orbital periods among planets in our solar system.
While the sin[SUP]3[/SUP] i term is a useful tool for calculating the orbital period of planets in our solar system, it does have limitations. It assumes that the planets have circular orbits, when in reality, most orbits are elliptical. It also does not take into account the influence of other celestial bodies, such as moons, on a planet's orbit.
