A satellite follows a circular orbit around a planet, whose period of revolution is T1 = 8 h. As it wishes to change over to another circular orbit whose period of revolution is T2 = 27 h, it makes a course correction. First it changes the magnitude of its velocity by switching on the rockets for a short period of time and orbiting on a transitional elliptical orbit. When it reaches the desired altitude, it switches on the propulsion again and changes over the circular orbit with period of revolution T2 solely by changing the magnitude of its velocity. a) Find the time required for the course correction. b) Find the change in percentage of the satellites’s speed caused by switching on the rockets in the first and second steps.

A satellite follows a circular orbit around a planet, whose period of revolution is T1 = 8 h. As it wishes to change over to another circular orbit whose period of revolution is T2 = 27 h, it makes a course correction. First it changes the magnitude of its velocity by switching on the rockets for a short period of time and orbiting on a transitional elliptical orbit. When it reaches the desired altitude, it switches on the propulsion again and changes over the circular orbit with period of revolution T2 solely by changing the magnitude of its velocity. a) Find the time required for the course correction. b) Find the change in percentage of the satellites’s speed caused by switching on the rockets in the first and second steps.

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