**68 @ Two small spaceships, each with mass m = 2000 kg, are in the circular Earth orbit of Fig. 13-51, at an altitude h of 400 km. Igor, the commander of one of the ships, arrives at any fixed point in the orbit 90 s ahead of Picard, the commander of the other ship. What are the (a) period To and (b) speed Vo of the ships? At point P in Fig. 13-51, Picard fires an instanta- neous burst in the forward direction, reducing his ship's speed by 1.00%. After this burst, he follows the ellip- tical orbit shown dashed in the fig- ure. What are the (c) kinetic energy and (d) potential energy of his ship immediately after the burst? In Picard's new elliptical orbit, what are (e) the total energy E, (f) the semimajor axis a, and (g) the orbital peripd T? (h) How much earlier than Igor will Picard return to P? Figure 13-51 Problem 68.

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**68 @ Two small spaceships, each with mass m = 2000 kg, are in
the circular Earth orbit of Fig. 13-51, at an altitude h of 400 km.
Igor, the commander of one of the ships, arrives at any fixed point
in the orbit 90 s ahead of Picard, the
commander of the other ship. What
are the (a) period To and (b) speed
Vo of the ships? At point P in
Fig. 13-51, Picard fires an instanta-
neous burst in the forward direction,
reducing his ship's speed by 1.00%.
After this burst, he follows the ellip-
tical orbit shown dashed in the fig-
ure. What are the (c) kinetic
energy and (d) potential energy of
his ship immediately after the burst?
In Picard's new elliptical orbit, what are (e) the total
energy E, (f) the semimajor axis a, and (g) the orbital peripd T?
(h) How much earlier than Igor will Picard return to P?
Figure 13-51 Problem 68.
Transcribed Image Text:**68 @ Two small spaceships, each with mass m = 2000 kg, are in the circular Earth orbit of Fig. 13-51, at an altitude h of 400 km. Igor, the commander of one of the ships, arrives at any fixed point in the orbit 90 s ahead of Picard, the commander of the other ship. What are the (a) period To and (b) speed Vo of the ships? At point P in Fig. 13-51, Picard fires an instanta- neous burst in the forward direction, reducing his ship's speed by 1.00%. After this burst, he follows the ellip- tical orbit shown dashed in the fig- ure. What are the (c) kinetic energy and (d) potential energy of his ship immediately after the burst? In Picard's new elliptical orbit, what are (e) the total energy E, (f) the semimajor axis a, and (g) the orbital peripd T? (h) How much earlier than Igor will Picard return to P? Figure 13-51 Problem 68.
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