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A satellite is placed at the altitude of a geosynchronous orbit, except that the plane of the orbit is inclined at an angle of 100 with respect to the equatorial plane. Describe the motion of the satellite against the background stars as seen from a point on the equator.

A satellite is placed at the altitude of a geosynchronous orbit, except that the plane of the orbit is inclined at an angle of 100 with respect to the equatorial plane. Describe the motion of the satellite against the background stars as seen from a point on the equator.

Grade:10

1 Answers

Jitender Pal
askIITians Faculty 365 Points
6 years ago
Consider a satellite S directly overhead at some time. Its plane of orbit is inclining at an angle with respect to the equatorial plane. The magnitude of the speed is equal to that of a geosynchronous satellite SG whose orbit is not inclined. There are both parallel and perpendicular components to the motion of satellite S. Thus, it will appear to move north while losing ground compared to satellite SG. Eventually, it must pass overhead again in 12 hours. When satellite is as far north, it has a velocity which is parallel to satellite SG. But it is positioned in a region where the required speed to appear fixed is slower. Therefore, it seems to gain ground against the background stars.

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