Problem 2 The following figure shows two satellites in Earth orbits: Satellite A is in a circular orbit with an altitude of 9,622 km , while Satellite B is in an elliptical orbit with an apogee altitude of 9,622 km . At the instant shown in Figure P2, Satellite B is passing through the apogee while Satellite A is ahead of Satellite B with an angular separation of 120deg
Problem 2 The following figure shows two satellites in Earth orbits: Satellite A is in a circular orbit with an altitude of 9,622 km , while Satellite B is in an elliptical orbit with an apogee altitude of 9,622 km . At the instant shown in Figure P2, Satellite B is passing through the apogee while Satellite A is ahead of Satellite B with an angular separation of 120deg
Applications and Investigations in Earth Science (9th Edition)
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ISBN:9780134746241
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
Transcribed Image Text:**Problem 2**
The following figure illustrates two satellites in Earth orbits:
- **Satellite A** is in a circular orbit with an altitude of **9,622 km**.
- **Satellite B** is in an elliptical orbit with an apogee altitude of **9,622 km**.
In the scenario depicted, **Satellite B** is passing through the apogee while **Satellite A** is ahead of **Satellite B** with an angular separation of **120 degrees**.
**Task:**
Determine the perigee altitude of the elliptical orbit so that Satellites A and B occupy the same radial position when Satellite A first arrives at the apogee point. In other words, Satellites A and B perform a rendezvous maneuver at the apogee of Satellite B.
**Diagram Explanation:**
The image shows two satellite orbits around the Earth:
1. **Satellite A** is on a circular path, consistent in altitude.
2. **Satellite B’s** orbit is elliptical, with the farthest point (apogee) at the same altitude as Satellite A's orbit.
3. An angle of 120 degrees marks the distance ahead Satellite A is relative to Satellite B at the moment depicted. The Earth is centered in the diagram.
Understanding this setup is crucial for calculating the desired perigee altitude to synchronize the satellites’ positions.
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