The term for the path of an object through 4-dimensional spacetime is called its "worldline."
The affine parameter is important in spacetime trajectories because it helps measure the proper time experienced by an object moving through spacetime. It allows for a consistent way to track the path of an object regardless of the coordinate system used, making it a valuable tool in understanding the motion of objects in curved spacetime.
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.
The curvature of spacetime, as described by general relativity, influences the trajectory of Earth's orbit around the Sun by causing the path of the Earth to follow a curved trajectory around the Sun. This curvature is due to the mass of the Sun bending the fabric of spacetime, which in turn affects the motion of objects like the Earth that are moving through this curved spacetime.
The path of the object is straight when in uniform motion
The center of mass of the object follows a smooth path when it spins through the air or across a flat smooth surface.
The affine parameter is important in spacetime trajectories because it helps measure the proper time experienced by an object moving through spacetime. It allows for a consistent way to track the path of an object regardless of the coordinate system used, making it a valuable tool in understanding the motion of objects in curved spacetime.
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 Newtonian physics they are not following a straight path, therefore they must be accelerating.However in General Relativity they are following a locally straight path through curved spacetime, therefore they are not accelerating.
Trajectory
Trajectory
The curvature of spacetime, as described by general relativity, influences the trajectory of Earth's orbit around the Sun by causing the path of the Earth to follow a curved trajectory around the Sun. This curvature is due to the mass of the Sun bending the fabric of spacetime, which in turn affects the motion of objects like the Earth that are moving through this curved spacetime.
The path of the object is straight when in uniform motion
The center of mass of the object follows a smooth path when it spins through the air or across a flat smooth surface.
Speed: How fast an object is moving. Direction: The path an object is following. Acceleration: How quickly an object's speed or direction is changing. Trajectory: The curved path or motion of an object through space.
A parabolic path due to the combination of the object's forward motion from the plane and the downward force of gravity. This combination of forces causes the object to follow a curved path as it falls through the air.
An orbit is the path of a planet, star, or satellite through space around another object. The path the orbit is simply the orbit.
The path can be two things which might be under question. In cosmology in general, planets follow circular-like paths round other objects called orbits. However, in general relativity, more specifically they follow geodesics in spacetime.