An earth satellite which moves in the elliptical equatorial orbit shown has a velocity v in space of 17 970 km/h when it passes the end of the semi- minor axis at A. The earth has an absolute surface value of g of 9.821 m/s and has a radius of 6371 km. Determine the radius of curvature p of the orbit at A.

icon
Related questions
Question

what is the tangential component of acceleration in the question

**Problem 2/126: Satellite Orbit Analysis**

An earth satellite moves in the elliptical equatorial orbit depicted in the diagram. As it passes the end of the semi-minor axis at point A, the satellite possesses a velocity \( v \) of 17,970 km/h. The earth is characterized by an absolute surface gravity \( g \) of 9.821 m/s\(^2\) and a radius of 6,371 km. The task is to determine the radius of curvature \( \rho \) of the orbit at point A.

**Diagram Explanation:**

- The diagram illustrates an elliptical orbit around Earth.
- The satellite is at point A on the orbit, with an indicated velocity vector \( v \) pointing horizontally to the left.
- From the center of the Earth to point A, a radial line is marked, labeled \( r \).
- Specific distances are labeled on the diagram:
  - The distance from point A horizontally to the center is labeled as 16,000 km.
  - The vertical distance from point A to the semi-major axis below is 13,860 km.
  - The radius of Earth is shown as 8,000 km from the center to the edge.
  
The diagram helps in visualizing the elliptical path of the satellite and the relevant dimensions for calculating the radius of curvature \( \rho \) at point A.
Transcribed Image Text:**Problem 2/126: Satellite Orbit Analysis** An earth satellite moves in the elliptical equatorial orbit depicted in the diagram. As it passes the end of the semi-minor axis at point A, the satellite possesses a velocity \( v \) of 17,970 km/h. The earth is characterized by an absolute surface gravity \( g \) of 9.821 m/s\(^2\) and a radius of 6,371 km. The task is to determine the radius of curvature \( \rho \) of the orbit at point A. **Diagram Explanation:** - The diagram illustrates an elliptical orbit around Earth. - The satellite is at point A on the orbit, with an indicated velocity vector \( v \) pointing horizontally to the left. - From the center of the Earth to point A, a radial line is marked, labeled \( r \). - Specific distances are labeled on the diagram: - The distance from point A horizontally to the center is labeled as 16,000 km. - The vertical distance from point A to the semi-major axis below is 13,860 km. - The radius of Earth is shown as 8,000 km from the center to the edge. The diagram helps in visualizing the elliptical path of the satellite and the relevant dimensions for calculating the radius of curvature \( \rho \) at point A.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions