A satellite describes an elliptic orbit of minimum altitude 606 km above the surface of the earth. The semimajor and semiminor axes are 17,440 km and 13,950 km, respectively. Knowing that the speed of the satellite at Point C is 4.78 km/s, determine (a) the speed at Point A, the perigee, (b) the speed at Point B, the apogee. B,

Elements Of Electromagnetics
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**Elliptic Orbit Dynamics of a Satellite**

A satellite is in an elliptic orbit with a minimum altitude of 606 km above the Earth's surface. The orbit's semimajor and semiminor axes measure 17,440 km and 13,950 km, respectively. Given that the satellite's speed at Point C is 4.78 km/s, we need to determine:

(a) The speed at Point A, known as the perigee.
(b) The speed at Point B, known as the apogee.

**Diagram Explanation**

- An elliptic orbit is shown, with the Earth at one focus of the ellipse. 
- The semimajor axis measures 17,440 km, representing the longest diameter of the ellipse.
- The semiminor axis measures 13,950 km, the shortest diameter perpendicular to the semimajor axis.
- Point A is the perigee, the closest point in the satellite's orbit to Earth.
- Point B is the apogee, the farthest point in the satellite's orbit from Earth.
- Point C is a location on the orbit where the satellite's speed is provided as 4.78 km/s.
- The radius of Earth is given as 6,370 km.

This information can be used to analyze satellite dynamics and calculate speeds at specific points in its elliptical trajectory.
Transcribed Image Text:**Elliptic Orbit Dynamics of a Satellite** A satellite is in an elliptic orbit with a minimum altitude of 606 km above the Earth's surface. The orbit's semimajor and semiminor axes measure 17,440 km and 13,950 km, respectively. Given that the satellite's speed at Point C is 4.78 km/s, we need to determine: (a) The speed at Point A, known as the perigee. (b) The speed at Point B, known as the apogee. **Diagram Explanation** - An elliptic orbit is shown, with the Earth at one focus of the ellipse. - The semimajor axis measures 17,440 km, representing the longest diameter of the ellipse. - The semiminor axis measures 13,950 km, the shortest diameter perpendicular to the semimajor axis. - Point A is the perigee, the closest point in the satellite's orbit to Earth. - Point B is the apogee, the farthest point in the satellite's orbit from Earth. - Point C is a location on the orbit where the satellite's speed is provided as 4.78 km/s. - The radius of Earth is given as 6,370 km. This information can be used to analyze satellite dynamics and calculate speeds at specific points in its elliptical trajectory.
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