Xxx Trajectory in a gravitational field

In summary, a trajectory in a gravitational field is the path that an object takes due to the force of gravity, determined by its initial velocity, the strength of the gravitational field, and the launch angle. The strength of the gravitational field directly affects the trajectory, as a stronger field results in a more curved path. An object's trajectory can change due to other forces or changes in the gravitational field. The initial velocity also plays a significant role in determining the shape and direction of the trajectory, while the launch angle affects the initial velocity in the vertical and horizontal directions.
  • #1
brupenney
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**!xxx Trajectory in a gravitational field

Assume an object comes from infinity and passes by the sun at 2 solar radiuses from its center. Can you derive an equation describing the objects path using only escape velocities and C??
 
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  • #2


You could start by writing the general equation for a hyperbola.
 

FAQ: Xxx Trajectory in a gravitational field

1. What is a trajectory in a gravitational field?

A trajectory in a gravitational field refers to the path that an object takes when it is influenced by the force of gravity. This path is determined by the object's initial velocity, the strength of the gravitational field, and the angle at which the object is launched.

2. How does the strength of the gravitational field affect an object's trajectory?

The strength of the gravitational field directly affects an object's trajectory. The stronger the gravitational field, the greater the force of gravity acting on the object, and the more curved the trajectory will be. This means that the object will accelerate faster towards the source of the gravitational field.

3. Can an object's trajectory in a gravitational field change?

Yes, an object's trajectory in a gravitational field can change. This can happen if the object is influenced by other forces, such as air resistance or collisions with other objects. Additionally, if the gravitational field changes, the object's trajectory will also change.

4. How is the trajectory of an object affected by its initial velocity?

The initial velocity of an object has a significant impact on its trajectory in a gravitational field. The object's initial velocity determines the shape of its trajectory, as well as its speed and direction. A higher initial velocity will result in a flatter trajectory, while a lower initial velocity will result in a more curved trajectory.

5. Can the angle at which an object is launched affect its trajectory in a gravitational field?

Yes, the angle at which an object is launched plays a crucial role in determining its trajectory in a gravitational field. The angle affects the object's initial velocity and the direction in which it is launched. A higher launch angle will result in a larger initial velocity in the vertical direction, while a lower launch angle will result in a larger initial velocity in the horizontal direction, thus affecting the shape of the trajectory.

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