In the context of general relativity, the geodesic equation describes the path that objects follow in curved spacetime. An example of this equation in action is the orbit of a planet around a star, where the planet's path is determined by the curvature of spacetime caused by the star's mass.
In general relativity, spacetime curvature affects the orbital path of a planet by causing it to follow a curved trajectory around a massive object like a star. This curvature is due to the presence of mass and energy, which warp the fabric of spacetime, influencing how objects move through it.
In the theory of general relativity, the concept of bending space refers to the idea that massive objects like planets and stars can curve the fabric of spacetime around them. This bending of space is what causes objects to move along curved paths, like the orbit of a planet around a star. According to general relativity, this bending of space is what creates the force of gravity.
In the theory of relativity, weight depends on the gravitational field in which an object is located. In the presence of a strong gravitational field, such as near a massive body like a planet or a star, weight can vary due to the curvature of spacetime. This effect is described by Einstein's general theory of relativity.
Kepler's 2nd law, which states that a planet sweeps out equal areas in equal times, remains valid even in the context of General Relativity. While General Relativity modifies the understanding of gravity and orbits, it does not negate the conservation of angular momentum that underlies Kepler's laws. In fact, General Relativity predicts similar orbital behaviors, including precession effects, without contradicting the basic principles of Kepler's laws. Thus, Kepler's 2nd law is still applicable, although it may require adjustments in precise calculations near massive bodies.
Some predictions by the General Theory of Relativity are:Mercury's perihelion advancing more than it should, according to classical theory. This was actually observed before, so it wasn't really a prediction, but the Theory of Relativity provided a neat explanation for it. Previously, scientists were looking for an unknown planet, which they called "Vulcan".The deviation of light, from a star passing near the Sun ("near" refers to angular distance here); this was confirmed with one of the next solar eclipses.In general, the possibility of gravitational lensing.The possibility of black holes (according to calculations made initially by Schwarzschild).Time dilation - time here on Earth passes a tiny bit slower than when you go into outer space.
The planet that was once believed to exist but doesn't actually exist is Vulcan, which was hypothesized to be located between Mercury and the Sun. It was thought to explain certain irregularities in Mercury's orbit, but those were later resolved by Einstein's theory of general relativity.
Gravity holds the atmosphere around the planet. Gravity is the force that attracts a body toward the center of the planet. For most purposes Newton's laws of gravity apply, with minor modifications to take the general theory of relativity into account.
Vulcanwas a small planet proposed to exist in an orbit between Mercury and the Sun. In an attempt to explain peculiarities of Mercury's orbit, in the 19th-century French mathematician Urbain Jean Joseph Le Verrier hypothesized that they were the result of another planet, which he named Vulcan. No such planet was ever found, and Mercury's orbit has now been explained by Albert Einstein's theory of general relativity
Earth- We are the only planet that can support life.
General Grievous was defeated on the planet Utapau.
The only known planet to support life as we know it is the one you and I are on, Earth.